diff --git "a/data/dm_maths/full_data/10991_11255.jsonl" "b/data/dm_maths/full_data/10991_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10991_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many milliseconds are there in 68.9752 days?\nAnswer: 5959457280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbde when four letters picked without replacement from {d: 12, b: 3, e: 2}.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-8)\/(-3)*-17. Let o = -31856\/735 - y. Suppose 6 = 11*d - 5. Is o greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22354)\/(-3))\/(33\/9 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*t - 6704 - 33817 = -838 - 123 for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 2, n: 2, f: 1}. What is prob of picking 1 z, 1 w, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose 0 = k + 1 - o. Let t = 1.6 - 2. What is the nearest to k in t, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 14. Suppose h*i - 6*i = -111. Suppose 4*z - i - 7 = 0. Calculate the greatest common divisor of 55 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -1.273, 1\/2, -3, 0, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -1\/9 (c) 0.3 (d) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 116?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -17*h + 64. Let j be (h\/6 - -2)*(-45)\/30. Let o(b) = -3*b - 19. Let n be o(j). Solve -2*v - 4*y = 2, -3*y = -2*v - 6*y - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132403372 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90205*d**2 + 90196*d**2 + 0*d + 4*d - d + 0*d - 3*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.8 - -7.52. Let u = r + -0.22. What is u rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 346 and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5610, 24497, 2 in ascending order.\nAnswer: -5610, 2, 24497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-15)\/6 + 3). Suppose h*j = 21 - 225. Let m = j + 200. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -4*g - 3*x + 22, 12 = -g - 2*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547441 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4182383 divided by -199.\nAnswer: 21017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 9)*(-3 + 2 - 4)*(0*s**2 - 3*s**2 + 2*s**2).\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 10*t + 2. Let n be r(8). Suppose -5*s - n = 2*p, -2*s - 3*p + 2 = 7. Let m be (-35199992)\/44 + s\/22. Round m to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 27 + 23. Let a = t - -26. Solve 3*y + 4*j = 20, j = -y + a + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 9 = -3*r, u = -5*r - 8 - 7. Suppose -10 - 15 = -5*v. Solve 0*c + v*c = u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -40, 3, 5, -1 in increasing order.\nAnswer: -40, -1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4804\/4455 + 103\/110. Find the common denominator of z and 53\/90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {i: 1, g: 4, a: 3, s: 2, e: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 4:33 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/45*(-3)\/(-3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310 + -177. Let i = -131 + o. What is the third derivative of -26 - 35*d**6 - i*d**2 + 26 - 3*d**2 wrt d?\nAnswer: -4200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.746798 micrometers to centimeters.\nAnswer: 0.0002746798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 5*w - 2*w + 7 + 10*w - 7 + (-3 + 0 + 5)*(-4*w + 4*w - w))*(2*w**3 + w**3 - w**3).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 728313.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4050 and 179\/90.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3772821?\nAnswer: 3, 13, 96739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 3. Determine g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 847 and 2.\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k + 4*a, 13 = 4*k + a + 3. Let t be 8 + -2 + 2 - k. Let o be (-1)\/t - 38\/10. Sort -2, o, -1.\nAnswer: o, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(64)\/(sqrt(50)*3))**2.\nAnswer: 64\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/81*(-10473279)\/(-192616). Let a = -3\/24077 + s. Calculate the common denominator of ((-2)\/3)\/(4\/(-17)) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 26. Suppose 4*f = -5*o + 24, -3*f + 6*f = o + 18. Calculate the highest common divisor of m and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from zzzmizznzmximzm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.3 (c) -15 (d) 4 (e) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q**(-2\/15))\/(q*q*q**(-1\/2)*q*q**(2\/17)) assuming q is positive.\nAnswer: q**(-757\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15158229 - 29?\nAnswer: 15158200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23649263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0 (c) 184 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.48. Let k = z + -4.68. Round k to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 104. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q**2 - 143*q - 4 - 62*q**2 + 4 + 141*q.\nAnswer: -100*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from zzrzzzzzzrrzzr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:06 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130743 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -59. Let f = 3214 - 3205. Calculate the remainder when a is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+21056118\nAnswer: 21056117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-167)\/(-501))\/(2\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -789, -1645, -2625, -3789, -5197, -6909, -8985, -11485?\n\"Answer: -10*x**3 - 2*x**2 - 780*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5012 + 20300. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324\/180*30\/18*(506\/(-33) + -9)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -446.02 - -438. Let r = p - -8. What is r rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 80471 - 3053*o**2 - 80471 + 0*o)*(2*o + 3 - 3).\nAnswer: -6106*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*y - 5*y**2 - 127*y**4 + 4*y**2 + 20*y**4 wrt y?\nAnswer: -1284*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2618833, 2618832, 2618831?\nAnswer: 2618830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -634955\/77 - -8246. Let r = -21405 - -1883539\/88. Find the common denominator of r and o.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(50)\/sqrt(250) + (sqrt(20)\/(sqrt(36) + sqrt(4) + sqrt(4)) - (sqrt(5) + 4*sqrt(25)\/sqrt(5))**2).\nAnswer: -128 + 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 1. Suppose 2*r + m = 9. Let y = -1 + r. Solve -3*u = -y*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + m + 76 = 109, 0 = 2*z - m - 39. Solve -z*v = -9*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3734 and 131.31?\nAnswer: -490311.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 1:12 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s - 40*s - 32*s + 105*s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - -3 - (2 + 0). Let h = q + 8. Find the third derivative of -3*f**3 - f**3 + 2*f**h - 2*f**2 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19568 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 335 - 160. Let r be (-1)\/2 + w\/10. Solve 5*x - 2 = -r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.6. Let p = -0.4 - -0.4. Let o = -0.4 - p. Which is the nearest to -1? (a) o (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*g - 544 = -10*a, a + 5*g - 156 = 0. Is a at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61376 + -42709. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.39 in 657, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - p + 615 - 608 = -5*p, -4*f + p + 3*p = -40 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237784 is divided by 798.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619.66958 rounded to the nearest ten?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7281*z + 24. Let s be t(-1). Let v = s - -304811\/42. What is the common denominator of 67\/70 and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) 0.2 (c) 29 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*o**3 + 180*o**2 - 1407*o + 90 = 0. Calculate o.\nAnswer: -5, 2\/31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 4*w - 4*w + (-4 + 4 + 2*w)*(1 + 2 - 4) - 1203637 + 1203637 + 20434*w to a*w + t and give a.\nAnswer: 20434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(2547\/(-5660))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1108*k + 32*k - 21190 - 16430 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341 - 293 - 13*n + 15*n.\nAnswer: 2*n + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 4*u**8\/63 - 8*u**7\/15 + 5*u**6\/6 + 361*u**5\/180 + 17*u**4\/12 + u**3\/2 + 54*u**2. Let k(z) = 0. What is z?\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 21*s - 630150. What are the prime factors of s?\nAnswer: 5, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40426, 80861, 121296?\nAnswer: 161731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**5 + w**4. Let g = 135 + -129. Let v(y) = 60*y**5 + 6*y**4 + 75*y. Let j(h) = g*x(h) - v(h). Find the second derivative of j(p) wrt p.\nAnswer: -1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*x - 414, -49*x - 2*f + 166 = -47*x. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1283 in -0.4, -3, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -211813.0175 and -0.3?\nAnswer: 63543.90525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222224215 (base 6) to base 12.\nAnswer: -142506b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -173. Suppose -63 = -4*j + k. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3461, -3465, -3469, -3473, -3477?\nAnswer: -3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101222 - 10?\nAnswer: 101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238611639?\nAnswer: 3, 7, 11362459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2206, -4595, -6984, -9373, -11762?\nAnswer: -14151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038889 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30860 by 7715.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = 3*l - 35. Let p = 53 + l. Calculate the common denominator of 104*(p - (-172)\/168) and -29\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000213295597 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -92. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.5 (b) -0.2 (c) -9755\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/67, 0.4, -3\/7 in decreasing order.\nAnswer: 0.4, 2\/67, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.1593 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 2:44 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 5. Let m(w) = 70*w + 628. Let n be m(-9). Determine k(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k + 4. Let n be v(4). Suppose n = r - 2*r + 2. Suppose 5*u = r*p - 0*u + 10, 2*u = 8. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:02 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1, 22 in ascending order.\nAnswer: -2, -1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g**2 + g**3 + 1 + 2*g + 3 + 7. What is the remainder when i(-8) is divided by 1 + 1\/1 - -15 - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = 9. Let d be (1\/b)\/((-4)\/120). Suppose 9*y - 8 = d. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 102?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -1 - 1\/8*k**4 - k - 3\/2*k**3 - 15\/4*k**2. Solve r(i) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 16) in base 12?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - 1. Let l = v + -3. Suppose -b = -3*b - 2*p - 6, -l*b - 3*p = 8. Is 2\/17 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**3\/6 + 7*m**2 + 2*m. Let u be j(7). Suppose -7 = -u*k + 6*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**(6\/17)*c)\/((c**(3\/4)\/c)\/c) assuming c is positive.\nAnswer: c**(333\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(7) + -2).\nAnswer: -sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056856 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i = -35*i - 920528. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 5*y**3\/6 - 2*y**2 + 1378*y. What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 82*t**2 - 178*t + 122. Is 22 a factor of r(79)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 116, 584, 1414, 2606, 4160, 6076, 8354?\n\"Answer: 181*r**2 - 75*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g**2 + 0*g - g**2)*(425*g**2 + 474*g**2 - 6*g**2 + 409*g**2).\nAnswer: -1302*g**4 + 1302*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4842*-19\nAnswer: 91998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a - 309. What is the tens digit of x(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 33 + 0*b - b)*(160 - 64 + 125 + 150).\nAnswer: 742*b - 12243","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiuuiiiivkuyuuuy. What is prob of picking 1 u and 1 y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.3 (c) -0.2 (d) 8 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((10\/730)\/((-4)\/16)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32440 - -564?\nAnswer: 33224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 6. Let o be g(-4). Suppose o*h - 7*h + 35 = 0. Let a be (-2)\/h + 26\/91. Put a, -5, -1 in increasing order.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*f**2 - 143\/2 + 285\/4*f = 0 for f.\nAnswer: -286, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 466670*b + 30. Let w be i(-9). Round w to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602.81239 rounded to the nearest 10?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6409 - -8988. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - -1. Let q = 17\/15 + -4\/3. Which is the third biggest value? (a) h (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*x + 4887 + 38497 = 419*x + 187*x for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 425065\/22 + -19317. Calculate the common denominator of n and -59\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 61. Let r(h) = h**2 - h - 6. Let l be r(i). Find the third derivative of -s**2 - 7*s**l - 9*s**6 - 2*s**2 - 3*s**2 wrt s.\nAnswer: -1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 0, -b + 4*b = -2*y + 2. Solve -x - 3*d - 9 = 0, 2*x + 2*d + 0*d + b = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 13*u + 30. Let z be i(11). Put -1, z, -3, 4 in increasing order.\nAnswer: -3, -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkkky.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2080 - 696 - 687 - 697 - 5293371*w**2 + 5293376*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n - 1088 = -40*n. Suppose -n*l + 548*l + 16 = 0. Sort -3, 13, l in increasing order.\nAnswer: l, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 10:23 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0 - 17*v + 0. Let y be (-1)\/(((-25784)\/5156 - -1) + 4). Let l(j) = 3*j**2 + y - 1289. What is l(t(g))?\nAnswer: 867*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*g**2 - b**2*g - 7266409*b*g**2 + 11017644*b*g wrt g.\nAnswer: -8*b**2 - 14532818*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**3 + 135*g**2 - 268*g - 78. Let z(o) = -2*o + 1. Let s(i) = -q(i) + 6*z(i). Factor s(f).\nAnswer: -(f - 2)*(f + 21)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1105\/(-65) + 2\/((5\/17)\/(-5)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578680655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39367240 and 400?\nAnswer: 393672400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3303\/2*q**3 + 0 - 7689\/2*q**2 + 1815*q - 15\/2*q**5 - 399\/2*q**4 = 0. Calculate q.\nAnswer: -11, -5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151117*k - 14 - 11 + 25.\nAnswer: 151117*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1377) - (sqrt(1377)*2 + -4))*3 - (sqrt(1377)*1*-2 + 2 + (-2*sqrt(1377) - sqrt(1377)))))**2.\nAnswer: 396*sqrt(17) + 5629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/5 + 8*r - 88\/5 = 0.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12423401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 158, 315, 472?\n\"Answer: 157*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2864 divided by -716\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 9715*p**2 - 47180896*p + 94400656.\nAnswer: -(p - 2)*(p + 9716)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 + 167. What is the greatest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4160 or 1?\nAnswer: -1\/4160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 383530 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.8, 0.3, 0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l*l**(2\/7))\/(l**(1\/2)*l)**(-36))\/((l**1*(l\/l**(-5))\/l)\/((l*l**(5\/4)*l)\/(l\/l**(-2\/17)))) assuming l is positive.\nAnswer: l**(25903\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12377 (base 11) in base 15?\nAnswer: -53d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 11. Let w(d) = 28607*d. Give z(w(f)).\nAnswer: 57214*f + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1060)\/(-220) - (-2)\/11. Suppose -5*z = -2*i + 54, 0 = z - v*z - 5*i - 63. Let q = -4 - z. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 703454, 703425, 703384, 703331, 703266, 703189?\n\"Answer: -6*l**2 - 11*l + 703471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/36 - 3 - -2. Let b = 10 - 14. Suppose -3*m = -c + 4, -c + 2 - 1 = 0. What is the closest to m in q, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194905192 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27adb - -18?\nAnswer: -27ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60462 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 72994032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -20*i. Let g be m(-3). Suppose -38 = -2*a + 3*l, 2*a - 2*l - 266 = -230. Suppose -4*b + a = 0, -y + b = -3*y + g. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((17 - 61 - 143)*(-4 + 0 - 3) - 4 + 4 - 4)*((0*d - 2*d + 4*d)*(2*d - d - 3*d) - 2*d**2 + 1 - 1) to q + i*d**2 + z*d and give i.\nAnswer: -7830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 434713 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/915 in 733, 0, 2\/3, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1054, 1037, 994, 913, 782, 589?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 3*a - 11*g - 1058, 2*g = -26. Let n(z) = 4*z**2 + 3*z. What is the remainder when a is divided by n(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4604.158 tonnes to nanograms.\nAnswer: 4604158000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*-1*sqrt(567) + sqrt(567) + 5) + (1*sqrt(567)*3*5 + 5)**2.\nAnswer: 1512*sqrt(7) + 127615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, j: 2, f: 3, e: 6, c: 1}. What is prob of sequence ejez?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/23? (a) 3 (b) 2\/15 (c) -2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*q + 859*q = -36 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 493 divided by 42\nAnswer: 493\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 96*d - 202*d + 105*d + 8. Let x be q(-2). Let k = 27 + x. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l**2 - 5*l + 3. Let s(r) = r**3 - 2*r. Let j be s(2). What is m(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**3 + 23*j**2\/2 - 1766. Calculate l(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-2*i + 1 - 1) + i + 2*i + 0*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51.79015g?\nAnswer: 51790.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22216.7 from -0.04908.\nAnswer: -22216.74908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7910737, 15821464, 23732191?\nAnswer: 31642918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145\/107 + 7893\/2782. Find the common denominator of j and -18\/247.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 2.9\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a69 + -3?\nAnswer: 4a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21*p = -1134. Let c = -1849\/4 + 486. What is the common denominator of ((-12)\/168)\/(p\/(-30) + 2) and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(2\/12). Let j(x) = x**3 + 4 - 2 - 2*x**3 - 2*x**2. Let i be j(-3). Solve h*f + 4*v - 3 + i = 0, -2*f + 7 = -v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 915*l + 1. Is d(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4 - 2039*l**3\/2 - 25179*l**2 - 244771*l\/2 + 32186 = 0.\nAnswer: -484, -19, -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 5*z**5 + 2*z**5 + 2*z**2 - 7*z**5 + z - z**5.\nAnswer: -z*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/38750 and 87\/950.\nAnswer: 736250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -3*t**4\/2 - 7*t**3\/3 - t**2\/2 - 1. Factor i(m).\nAnswer: -m*(m + 1)*(6*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**7\/210 + 49*x**6\/60 - 61*x**4\/24 + 7*x**3\/6 - 34*x**2 - 5. What is the second derivative of p(a) wrt a?\nAnswer: 12*a**2 + 588*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 41*g - 158. What are the prime factors of l(33)?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960 = 33*j + 27*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-96)\/(-18) - 2\/(-3). Let y(b) = -b**2 + 8*b - 2. Let k be y(q). Solve -4*n + 10 = -k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23335, 46729, 70185, 93703?\n\"Answer: 31*b**2 + 23301*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**2 - 14*h + 28*h - 14*h.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2764*t + 924*t + 918*t + 925*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 144*a + 73. Let d be h(3). Let q = d - 469. Solve 10*j - q = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*q - 3668 - 7995 = 0. Solve 19*y - q + 12 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (6 - (7 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029333 rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**3 + 2*j**2 + j + 3. Let z(a) = -21*a**3 - 10 - 6 + 0 + 5*a**2 + 2*a + 23. Give -7*l(k) + 3*z(k).\nAnswer: 7*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 1\/3 (c) -1\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 447 = -5*v, -4*m + 7*m = 3*v - 279. Let n be (-4)\/6 - v\/3. Let b = -13 - n. What is the greatest common divisor of b and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3000)\/9016 - 2\/(-6). Let g = -33836\/43953 + d. Let p = -116\/117 - g. Sort p, 0, -5 in ascending order.\nAnswer: -5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2. Let o(i) = -4*i - 4. Determine u(o(y)).\nAnswer: -48*y**2 - 96*y - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:37 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28652557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-9)\/(-3) - 45. Let x be (8\/(-12)*1)\/(z\/12). What is the third smallest value in -0.6, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 - 52 = -3*r. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.1 - 18. Let n = x + -0.1. Let v = -543.7 - -544. Which is the biggest value? (a) n (b) v (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 134.991005 and -2220517.\nAnswer: -2220382.008995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 47345983916 and 1.\nAnswer: 47345983917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*x + 5*j + 32, -x + j + 11 = 0. Let l(v) = -38*v - 10. Let i be l(-11). Let q = i - 287. Calculate the greatest common factor of x and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1789292 or 1789296?\nAnswer: 1789296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 2*c**2 + c**2 + (-4*c + 2*c + 3*c)*(5*c - 5*c + 4 + 2*c).\nAnswer: 4*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10470160 to the nearest 10000.\nAnswer: -10470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*f + 6 = -4*f, 3 = 3*f. Let i = z + 4. Calculate the highest common divisor of 40 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23*d + 7. Let k(i) = -15*i + 5. Let m(n) = -7*k(n) + 5*t(n). Let u(p) = p. What is u(m(a))?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/111 (b) 0.3 (c) 5 (d) 1\/5 (e) 0.08 (f) -3 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/15 - 416*s**3\/3 + 1375*s**2 - 181*s + 9. What is the derivative of o(i) wrt i?\nAnswer: 8*i**3 - 832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/(n**(-2)*n))))*n)**(-44)*(n**(3\/5))**(-12\/13) assuming n is positive.\nAnswer: n**(-36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 69222*c**2 + 612865638*c - 239219356418.\nAnswer: 2*(c - 17101)**2*(c - 409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(1980\/32) - 4\/30.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 53. What is q(12)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 6\/5, 1\/2.\nAnswer: -2\/17, 1\/2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, h: 5}. What is prob of sequence hh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0491992 to four decimal places.\nAnswer: -0.0492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2072.8 - 2074. Let a = 0.01 - -0.29. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*y + 2\/5*y**4 - 8\/5 + 8\/5*y**3 + 6\/5*y**2.\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057337 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -1. Let x(v) = v. Let h be x(-3). What is the remainder when -2 + l\/h - -38 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -439*f*p**4 - f*p**2 - 702*f wrt p.\nAnswer: -1756*f*p**3 - 2*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 176. Suppose -5*c = -2*j - 25, -j - 3*c - 30 = -2*c. Let x = j + i. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (28\/6 - 2) + 172\/129\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/9)*m)\/(m\/m**(-9))*(m*m*m**(-29))**48 assuming m is positive.\nAnswer: m**(-11738\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15314 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*x - 535, 3*x = 3*z - 7*z + 431. Suppose -3*o + 8*o - z = 0. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5879273, -11758552, -17637835, -23517122, -29396413?\nAnswer: -35275708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 5922.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.8. What is the closest to -1\/4 in -1, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**4 + 17*u**3 - 2*u**4 - 17*u**3 - 9*u**2 wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - ((-10 - -28) + 22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36517, -73046, -109575, -146104, -182633, -219162?\n\"Answer: -36529*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (1 - 1*8). Let f(z) be the first derivative of 10*z**2 + 2*z - 36. What is the units digit of f(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**3 - 4*f**2 - 21*f - 72. Determine i(-3).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8101571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1619 divide 278468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k + 415. Let w = k + -90. Let s(p) = -130000*p. Let o be s(w). What is o rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 226*w - 1603. Calculate r(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/4 + 6 + 24\/3. Suppose -54880004 = -w*o + 4*s, o = -2*s - 2*s + 13719996. Round o to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 4*c = -11*a - 60, 0 = 4*a - 3*c + 59. What is the hundreds digit of ((-2)\/4*3)\/(a\/2828)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2*k + 16. Let l be h(0). Suppose 56 = 2*q - l. Let a = 62 - q. What is the remainder when 49 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -22208?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27354 divided by 291?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 371738 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: Which is the closest to 5? (a) 2\/13 (b) -5\/4 (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55031 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 + 1. Let l be g(-1). Let j be -24*(-3)\/(24\/l). Suppose 3*p - 87 = -j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10062121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:18 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 3*r - 1. Let k be z(-4). Factor -4*d**k + 0*d + 5*d**3 + 0*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65820.3717019 - -0.55.\nAnswer: -65819.8217019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.93 + -257.07. Let j = -177 - o. Let q = j + -82. Put 0, 2\/11, q in descending order.\nAnswer: q, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 302366 + -4?\nAnswer: 302362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 1. What is the second derivative of -x*u - u + u**5 - 3*u**5 wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 6. Suppose -4*m = p*a - 49, m = -m + 2*a + 28. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -996*f + 966. What is i(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341387 is divided by 48744?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 10. Let j(i) be the second derivative of -1\/2*i**2 + 0 + 10*i. Let w(f) = -j(f) - s(f). Differentiate w(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.216 in 2\/5, 1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30424443 (base 6) to base 16.\nAnswer: -d582b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19733 - 0.0226\nAnswer: 19732.9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w**2 + 3*w - 3*w)*(4*w + 2*w - w)*(-26*w + 3*w + 2*w) to m*w**2 + s*w**4 + t + x*w**3 + n*w and give s.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + 7*q)*(-4 + 1 + 1) + (-17*q + 12*q - 32*q)*(8 - 10 - 2)*(-4 - 4 + 5).\nAnswer: -458*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1881? (a) 3 (b) 0.3 (c) -4 (d) -0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 41, -0.1 in ascending order.\nAnswer: -5, -4, -0.1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 582 and 30.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b + 1)*(b - 3*b**2 - b) + (-2*b + 1 - 1)*(-4*b**2 + 5*b**2 + 1316*b - 1455*b).\nAnswer: 4*b**3 + 278*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 93065.\nAnswer: 558390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77537, 310137, 697803, 1240535, 1938333, 2791197?\nAnswer: 3799127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10539 and 11053069?\nAnswer: 99477621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 8*i**2 + 4*i**2 + i**2. Let o(b) be the second derivative of -b**4\/4 - b. Calculate o(m(j)).\nAnswer: -75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-5)\/(-1))\/450)\/((-146)\/(-1095)))\/((-2)\/(-20))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*g = -9, -358095*g = -5*t - 358097*g + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1881.945 - 1887. Let z = l - -0.055. Let b = z - -4.7. Sort b, -2\/5, -5 in decreasing order.\nAnswer: b, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/7, -13, 0.2, -2.\nAnswer: -13, -7, -2, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**3 + a + 1. Let k be h(-1). Is (-94)\/4*k\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34656 times 129\nAnswer: 44.70624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21312584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823857 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -244 in -4, 15\/2, -1\/62, 0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 51 - 45, 3*d + 1 = -2*f. Solve 0 = -f*r + 1 - 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddhhhhvvevhdmdjvd. What is prob of sequence mddj?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 20*d**2 + 14*d**2 - 142*d**2 + 32*d**2 + 10*d**2.\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/5 - 274*i**3\/5 + 2508*i**2\/5 + 4384*i\/5 - 8128 = 0.\nAnswer: -4, 4, 10, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -22 + 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 12:16 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + c**2 + 14)*(4*c - 6*c + 0*c) + 4*c**3 - 2*c**3 + 3*c**3 to h*c**3 + k*c + f + x*c**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3132236 is divided by 2641?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at least as big as 230\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 5*u - 4*u)*(-u + 2*u - 3*u) - 7*u + u**2 + 7*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -319, -318, -305, -274, -219, -134?\n\"Answer: s**3 - 6*s - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -25. Let p(k) = -k. Let x(v) = 7*v**2 - 14*v. Let j(h) = n*x(h) + 14*p(h). Let d(y) = y. What is j(d(i))?\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.234775 rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190.4 + 190. What is the nearest to 4 in h, 0.2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*n**2 + 13*n*x**3 - 2126*x**3 wrt n.\nAnswer: -20*n + 13*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2182174 is divided by 442.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*a + 5 = 0, -5*r - 5 = -0*r + 5*a. Let 0*d**2 + r + 0*d**3 - 1\/3*d**4 + 1\/3*d**5 + 0*d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/21 - 374\/(-14). Suppose 3*z + 3*k = -0*k + 3, 3*k = 3*z - a. Solve -1 = -z*l + 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 141?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1005\/14 + (-6)\/21. Let q = u + -70. Which is the third smallest value? (a) -2\/3 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167023559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5930, 11997, 18060, 24119, 30174?\nAnswer: 36225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36750*r**4 - 4 + 133*r + 145*r**2 + 36749*r**4 + 4 + 11*r**3.\nAnswer: -r*(r - 19)*(r + 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136*-0.1.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from zjzzzzj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**7\/105 - 5*x**5\/2 - 32*x**4 + x**2 + 7. What is the second derivative of h(k) wrt k?\nAnswer: -24*k**2 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (16 + -8 + 4)) + (61 - 11).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1370, 0, -5, 4 in decreasing order.\nAnswer: 4, 1, 0, -5, -1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -24, 0, -5 in ascending order.\nAnswer: -24, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 6:15 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (0 + -7 - (-56 - -69)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a93b - 1?\nAnswer: 1a93a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -979671\/83 or -11802?\nAnswer: -11802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/225*6*(-5)\/2. Solve 2*l = -3*d, 5*l - 5 - b = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 5*p + 14, 4*f - 4*p = 40. Let o be 9\/5 + 6\/30. Suppose -6*u - 14 = -b - 4*u, u + 22 = o*b. Calculate the lowest common multiple of b and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 94 = -f - 0*f, o + 376 = -4*f. Let c be 4\/4 + -1 + f. Round c to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0 - 2\/3*j**3 + 1\/60*j**5 + 7*j**2 + 1\/8*j**4 + 9*j. Let m(v) be the first derivative of x(v). Factor m(u).\nAnswer: (u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345685?\nAnswer: 5, 47, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -22*w**2. Let n(k) = -16032*k**2 - 3 + 16224*k**2 + 3. Determine g(n(y)).\nAnswer: -811008*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8178782086+52\nAnswer: 8178782138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 = 571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:56 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**2 - 32*k - 21. What is the remainder when 506 is divided by q(7)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 3*t**3 - 9*t - 7*t)*(-21 + 10 - 6).\nAnswer: 51*t**3 + 323*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/15107 - -574093\/45321. Factor 14 - 2\/3*a**3 + 82\/3*a + r*a**2.\nAnswer: -2*(a - 21)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49134061447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 77*p + 348. Let i be f(-83). Calculate the highest common factor of 752 and i.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 36477*z + 44364*z - 1.\nAnswer: 7887*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(120)\/(sqrt(30)\/sqrt(3))) + (-2*sqrt(252))**2*4.\nAnswer: sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q + 2. Let u be i(3). Suppose -5*f - u = -487. Suppose 2*v - 2*x - x = 26, -5*x = 0. What is the highest common divisor of v and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2249997 = 3*c, 3*m + m = 3*c - 3000003. What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5*(-3)\/345). Calculate the highest common divisor of m and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 50 = -7*k. Calculate the remainder when (-99)\/(-231) + (-256)\/(-7) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 12. Let h be g(5). Suppose -5*c + h = -28. Let y(l) = l + 1. Calculate the remainder when 47 is divided by y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3046 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3. Let i(o) = o**2 - 9*o + 1. Let w = 2 + 6. Let f be i(w). Put v, 2, f in increasing order.\nAnswer: f, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)**10\/((w*w**(2\/35)*w*w)\/(w*w*w\/(w*w*w*w**(-10)))))**(-1\/4) assuming w is positive.\nAnswer: w**(-593\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023 - 25.023. Let x = j - -21. Suppose 2*f - 4 - 2 = 0. Which is the third biggest value? (a) x (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -549, -813, -1075, -1335?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5303*l + 19740 = -4974*l for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrvd when four letters picked without replacement from rvfnnfddvvnvr.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -90475651?\nAnswer: -90475651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -3 + 2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + l = -l + 64, -5*j + 52 = -4*l. Let w = -10 + j. Is w equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2521049 is divided by 148291.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 - 6. Suppose -t + 3*x = -8, 0 = t - 0*x + x - o. Solve 3*c - 2*p - 26 = -c, 2*c + t*p = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-216)\/(-117) + 2\/13. Let k = 15 + -12. Solve -2*v - 3 = -o, -k = -5*o - 4*v + l*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**7\/1680 + 11*z**6\/360 - 7*z**5\/12 + 25*z**4\/6 - 28*z**3\/3 - 114. Let s(q) be the third derivative of p(q). Factor s(v).\nAnswer: -(v - 10)**2*(v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) -1 (c) -2367\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7429947 + 7429946.89361153. Let h = 0.02138906 + x. Let w = 0.085 + h. Round w to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = -38*v - 42 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 20) + 21 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84)*-1*-4)\/(4*-2*sqrt(12)).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x - 145*x**2 + 148*x**2 - 6*x - 11*x - x**3 - 5*x in the form f*x + j*x**3 + t*x**2 + n and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 + 0.2. Let p = -2.08 + 0.08. Let y = p - g. Which is the third biggest value? (a) y (b) -1 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and -3 - (0 + 11\/(-10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13016\/3 + -4338. Let z = -81.99 - -82. Which is the nearest to -5? (a) v (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(100\/4)*4*(-25)\/(-180)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -8*l**7\/105 - 8*l**6\/15 + 49*l**5\/5 - 93*l**4\/2 + 108*l**3 + 5319*l**2. Let k(u) = 0. Calculate u.\nAnswer: -9, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 1*(-1)\/1. Suppose 4*q + 0*q = 0. Let d = q - -1. Calculate the highest common divisor of d and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96\/5*h**2 + 0 - 3\/5*h**4 - 96\/5*h - 6*h**3.\nAnswer: -3*h*(h + 2)*(h + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.54505 to zero decimal places.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24387908 is divided by 2484.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 - 3*l**3 - 8*l - 8*l**2 + 9 - l**2 + 2*l**3. What are the prime factors of i(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -38. Let m = 667 - 457. What is the highest common factor of m and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 22*m**2 - 4*m + 20. Let j(t) = -21*t**2 + 3*t - 20. Let o(r) = 4*j(r) + 3*z(r). Differentiate o(f) with respect to f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -1\/24*b**4 + 0*b - 33*b**2 + b**3 + 0. What is o(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*r*w - 9*d**2 - 75*d*r*w + 2*d*w - 30*w wrt r.\nAnswer: -2*d**2*w - 75*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pedksnes. Give prob of picking 1 k, 1 n, 1 e, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 10350820.112416.\nAnswer: -10350820.012416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 708 + -710.335. Let o = -3.14 - a. Round o to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292777 or 293419?\nAnswer: 292777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-24)\/(-2))\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 109788?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:48 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 21. Let s(b) = 7*b - 43. Let u(h) = -9*f(h) + 4*s(h). Let x be u(7). What is the highest common divisor of 216 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4\/4 - 2*g**3\/3 - 3*g**2\/2 - g + 11. Suppose -2*s - 2*s - 8 = 0. Let i be s*(-2)\/4*3. Give j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*u - 32, -97 = b - 97 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*w - 7*w = -14, 36 = 4*a + 4*w. Suppose a*m - 20*m = -6*m. Factor m - 3\/2*s**2 + s.\nAnswer: -s*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 0*g**3 + 0*g**3)*(-1 + 1 + 4*g)*(-257 - 549 - 81 - 76)*(1 - 5 + 2).\nAnswer: -15408*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -71, -65, -55, -41?\n\"Answer: 2*g**2 - 4*g - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27311 - 27204 - (1 + -15)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.72*-0.1811.\nAnswer: -0.130392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142531.\nAnswer: 23, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 3. Let a(x) = 68*x**2 + 2. What is a(g(f))?\nAnswer: 68*f**2 - 408*f + 614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4241 and 0.55637?\nAnswer: -2359.56517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-16)*(0 + -6). Let w = l - 6. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(6))\/sqrt(6) + sqrt(2))*1.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 1 + 8 = -u, 43 = 9*q + 2*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6696953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16464 = 8141*o - 16570*o + 8176*o + 7571 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360264324?\nAnswer: 2, 3, 7, 349, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18255988 and 292?\nAnswer: 1332687124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/5 (b) 2\/3 (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55822124 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 3*x**5\/5 + 2*x**3 - 7*x. What is the second derivative of h(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622208.1ml in litres?\nAnswer: 622.2081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136111858?\nAnswer: 2, 19, 73, 139, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770572 is divided by 385283.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 8*k - 7. Let i be o(5). Suppose z - i = -z. Let a be (-11)\/(-4) - (-1)\/z. Solve -3*v - 3*s - 3 = 0, -a*v - s - 1 = -0*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 987487037 to the nearest integer?\nAnswer: 31424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:14 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-1941)\/12)\/(42\/96). Let p = 366 + r. Determine y so that 2\/7*y**2 + p + 8\/7*y = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 plus -22.118?\nAnswer: -21.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54697365 to 4 decimal places.\nAnswer: -0.547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5281589*r**6 - 10*r**3 + 603610*r**2 + r wrt r?\nAnswer: -633790680*r**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {g: 1, t: 1, j: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w - 1. Let m(h) = h**2 - 2. What is -2*i(z) + 3*m(z)?\nAnswer: z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -2069\/13. What is the closest to -1 in -3, y, 5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x - 1. Let p be k(-17). Suppose 3*g = -2*g - p. Calculate the remainder when 10 is divided by (1\/(-1))\/(9\/g).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 0 = -20. Calculate the greatest common divisor of n and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-6)\/(-24)*14)*(192 - (-1 + 15)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 k when three letters picked without replacement from {m: 1, x: 1, f: 1, k: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:26 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/1338 - -743\/446. Let g(z) = -2*z**3 + 13*z**2 - 2*z + 65. Let m be g(7). Which is the fourth smallest value? (a) m (b) f (c) 1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from byyybbyyyyyyyy?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -124096.1585 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 6*k + 3*k. Let a(s) = s**2 - 6*s - 4. Let w(v) = 6*v**2 - 39*v - 26. Let h(r) = -39*a(r) + 6*w(r). What is f(h(b))?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/3102 and -43\/143.\nAnswer: 40326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 21742698318?\nAnswer: -21742698317.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/2)\/v*v)\/(v**(-11\/2)\/v))\/((v\/v**(-1\/10))\/v*v*v**17) assuming v is positive.\nAnswer: v**(-101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4432.21l to millilitres.\nAnswer: 4432210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4061547 and 41\/690?\nAnswer: 40615470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 161303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23353 + -23352.999790526. Round l to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*x - 1134*x**3 + 1134*x**3 - 8*x**2 + 33*x**4 - 36*x**4 - 4*x in the form r*x**3 + q*x**4 + f*x + w + t*x**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -214, -2, -3434 in descending order.\nAnswer: -2, -214, -3434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2)*(-4)\/35. Which is the nearest to y? (a) -1\/2 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(3 + 14\/(-4)). Suppose q = -3*m + 41 - 2. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70512?\nAnswer: 2, 3, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 18*f = 13*f, 2*f + 46 = 5*w. Suppose -3*g = w - 22. Solve -6 = g*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 + 13*q + 85. Let a be z(-10). Let r = 457 + a. Calculate the remainder when 683 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16887\/(-26))\/(-433))\/(2\/112*3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -7. Suppose u - 6 = 3*l, -l - 20 - 37 = -4*u. Let m be (1 - u\/6)*-2. Solve p = m*c + 6 + w, 2*c = p - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 20. Let f(d) = -d + 13. Let c(n) = 5*f(n) - 2*m(n). Determine c(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -631, -626, -611, -580, -527, -446, -331?\n\"Answer: v**3 - v**2 + v - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 3*v - 2. Let w be y(1). Let j = 5 - 5. Suppose 4*z + 20 = -j*z, u = -w*z - 14. What is the least common multiple of u and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 43 - 159 = 0. Suppose 2*s + 3*q = x, -4*s - q + 6*q + 213 = 0. Factor s*z**2 - 8*z**2 - 5*z**3 + 100 + z**3 - 140*z.\nAnswer: -4*(z - 5)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {u: 2, i: 3, h: 1, f: 1, v: 5, k: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 6\/11 (b) 2\/9 (c) 6\/5 (d) -40\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from {j: 1, c: 3, q: 1, l: 3, h: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in -0.4, 3\/5, -1\/43, -1028?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-60))\/(((-6)\/63)\/(7*(-18)\/(-3528))).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4 - 12. Suppose k*q - 7*q = -115. Suppose 3*d = -2*w - 0*w + 16, d + q = 5*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12237 - 11299. What is the remainder when v is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:53 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + c**4 - 3)*(0 + 0 + c) + 3*c**4 - 2*c**5 - 3*c**4 + (7*c**3 - c**3 - 4*c**3)*(3 - 2*c**2 - 3) + 2*c**5 - c**5 + 0*c**5.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 7*s - 118 - 35 = -22, -10*q + 7*q + 4*s = -95 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182682398?\nAnswer: 2, 199, 521, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -388*r**5 + 66*r**4 - 2*r**3 - 3*r**2 + 7388*r + 5?\nAnswer: -23280*r**2 + 1584*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1434122 (base 11) to base 10.\nAnswer: 2465157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g**2 + 0*g)*(6 - 3*g + g**2 - 5 + 0) - 8*g**2 + 7*g**4 + 8*g**2.\nAnswer: 5*g**4 + 6*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**3\/3 - 5*i**2\/2 - 3*i - 5. Calculate a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6179 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: Suppose 69*a + 45*a + 203 + 139 = 0. Sort -1\/4, 4, a, 2\/51 in decreasing order.\nAnswer: 4, 2\/51, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 109. What is the remainder when 55 is divided by (0 + s\/(-8))*4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 4469?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3520000 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2b427 (base 12) in base 7?\nAnswer: -32533063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/35 - 436\/(-7). Suppose -5*g + i = 12. Which is greater: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/102 - 2\/(-6). Let k be (-27)\/27*(-2 + 1)\/(-2). What is the nearest to 0.2 in -5, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u + 3*u - 213 + 183)*(-8 + 2 - 4)*(6 - 2 - 2).\nAnswer: 140*u + 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689392891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 3*l**2 - 23. Let y(s) = -16*s. Give f(y(v)).\nAnswer: -96*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {p: 2, c: 1, a: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/4743 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*g + 24, -4*k = -2*k. Let u(i) = i**2 - 3*i - 3. Let t(o) = o**2 - 2*o - 2. Let p(v) = 4*t(v) - 3*u(v). What are the prime factors of p(g)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -323 - -326. Solve -u = 4*u - h*v + 37, -2*u - 14 = -v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190831 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -49*h**2 - 63*h - 12. Let c(p) = 147*p**2 + 184*p + 34. Determine -6*c(i) - 17*l(i).\nAnswer: -49*i**2 - 33*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*k - 6, 2*f - 5*f - 8 = 4*k. Suppose -5*b + 15 = 0, c + f*b = 2*b + 10. Suppose 0 = -2*l - u - 5, -u = -2*l + c*u - 11. Is l smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52878 is divided by 430.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412 - 411.739. Let k = v + -0.260999827. Round k to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.018 + 0.186. What is a rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 9. Let l be x(7). Suppose -3*z - z + l = 0. Solve -z - 1 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from sssssasssssssassss.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**4\/12 + 119*n**2\/2 - 596*n. Let a(j) = 2*j. Give i(a(l)).\nAnswer: 4*l**2 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2, -562290 in increasing order.\nAnswer: -562290, -19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 5 + 0*s - s**3 + 1\/2*s**4 + s**2. Calculate r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*g + 4*g - 12 = 0, 0 = -g - 4. Let b(f) = 10*f**2 - 2*f**3 + 5*f**2 - 8 - 5*f**2 - f**2. Let o be b(c). Solve 5*u = 3*u + o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/7 + 10*m\/7 + 600\/7 = 0?\nAnswer: -15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613912203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 20 = 4*z, t - 3 = -0*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 10:04 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -339, -1141, -2701, -5271, -9103, -14449, -21561?\nAnswer: -30691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1\/19, -1\/113 in increasing order.\nAnswer: -4, -1\/113, 1\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let x be 2\/(-87)*69\/3. Let b = x + -4\/29. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -59 (b) -2\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*n + 1552994, -88*m + 87*m = 2*n + 776496. What is m rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)\/v*v\/((v\/v**(-1\/3))\/v*v))\/(v\/v**(-1)*v)**(1\/26) assuming v is positive.\nAnswer: v**(-487\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1031299 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-46)*12\/(-165))\/((-3)\/30).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21.17 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4\/9 - 1792*v**3\/9 + 2*v**2\/3 + 5380*v\/9 + 3584\/9 = 0.\nAnswer: -896, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:30 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34997.\nAnswer: 79, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -105. Suppose -2*x - 9 = -g. Suppose 0 = -5*f + 10 + 10. Calculate the highest common factor of x and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2127332521 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -14, -3325?\nAnswer: -3325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -61. Suppose g = -w - 0*w + 387. What is the common denominator of -29\/14 and 2\/(-16) - 5\/((-1240)\/w)?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*l = -365 - 305, -4*l = -t + 152. Let u = 22 - 10. What is the highest common factor of t and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 9562124?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 432346997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 536112 a multiple of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {s: 2, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2061526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ittttttt. What is prob of picking 4 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -179, -204, -225, -242, -255, -264?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 37*z - 19 - 224 - 36*z to the form q + p*z and give q.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 10*v**2 + 10*v - 4. Let c = 37 - 28. Let b be r(c). Suppose -5 = b*h - 25. Solve t - 2 = 2*f, 5*f - f - 4 = h*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*1\/3 + 3. Suppose z*m - 13 = -3. Solve -5*s + m*x = -2*s + 12, 0 = -3*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2555 + 2700. Calculate the remainder when 298 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 10. Let w(d) = d**2 - 3*d - 7. Let j be w(6). Suppose j*l = -41 - 36. What is h(l)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1608*o. Let n(i) = 2*i**2 - 233. Determine k(n(x)).\nAnswer: 3216*x**2 - 374664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10))\/(3\/(-6)). Let t = -0.1 + 0.3. Which is the nearest to -0.1? (a) -5 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/13 - 61498*j**2\/13 - 472719750*j\/13 + 472781250\/13 = 0?\nAnswer: -15375, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18799 + 18796. Which is the fourth smallest value? (a) -7\/4 (b) 0.14 (c) g (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (96\/(-15) - (1 - 4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6850 by 6850.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q**2. Let v(h) = h**2. What is 3*n(y) - 24*v(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - 3*d - 11*d**2 + 2*d**3 + 3*d**2 to w*d**2 + m*d + p*d**3 + j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918716 is divided by 1980.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7024 + 7024 + 522*c**2 in the form h*c**2 + s + r*c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 3*o\/5 + 9\/5.\nAnswer: -(o + 3)*(2*o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2cc3b8?\nAnswer: -2cc3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 0. Suppose 33 = t*z + 9. Suppose -78 - 210 = -24*n. What is the highest common factor of n and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/31356 and 155\/16571646.\nAnswer: 33143292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*f = 48 + 45, -4*f - 412 = -4*b. Let v = b + -53. Suppose 4*r = -15 + v. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 169, 872, 2057, 3724, 5873, 8504, 11617?\n\"Answer: 241*z**2 - 20*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.4, 1\/2062, 166?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p**2 + 2*p**2 + 4*p**2)*(3*p + 3 + 4 - 6*p) as b*p**2 + i*p**3 + s*p + o and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 2. Let m = 23.9 - 24.2. Which is the second biggest value? (a) m (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.004 in 1\/3, -3\/2, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i = 36*i + i - 476 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -5\/19, -3.2 in ascending order.\nAnswer: -7, -3.2, -2, -5\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01203723 to five dps.\nAnswer: -0.01204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-5 - -15)*181*1. Let b = p + 186. Solve 6*m + b + 7 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52e3 (base 16) in base 15?\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6138 + 6144. Suppose r + 3*c - c - 22 = 0, 4*r - 127 = 5*c. Let a be 36\/14*r\/x + 0. What is the greatest common divisor of a and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 7*a + 2*a + 0*a + 4*a - 2*a + (2 + 1 - 5)*(0 + a + 0) + 0*a + 3*a - 4*a)*(4*a - 7*a + 2*a)*(-2 + 3 + 1)*(0 - 2 + 4).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44523721 - -44523753.0000186. Let u = 6 + -38. Let f = y + u. What is f rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1054?\nAnswer: -5\/1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u*u\/(u*u**8)*u*u)\/u*u**(-20)*(u**(10\/7))**(37\/2) assuming u is positive.\nAnswer: u**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -883\/45 + 4207\/180. Let y(v) be the first derivative of 41 - s*v + 5\/4*v**2 + 5\/12*v**3. Factor y(d).\nAnswer: 5*(d - 1)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3094457 is divided by 469.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1881*q**3*r**2 + 2*q**2*r**2 - q**2*r + 357 wrt q.\nAnswer: 11286*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 + o + 7. Let i be z(-5). Let t(s) = -4*s**2 + 78*s + 222. Let k be t(22). Factor -6\/7*f**i + 12\/7 + k*f.\nAnswer: -2*(f - 3)*(3*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-36) + (-93)\/(-12). Suppose 3*p - 4*o - 16 = 0, 6*o - 8 = -3*p + v*o. Solve 4*z = -3*n - 1, p*z - 2*z - 2*n + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**3 + 2*t**3 + 2*t**3)*(-418 - 64 - 438).\nAnswer: 2760*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -84*x**2 + 14*x + 49. Let v be n(-6). Calculate the common denominator of 0 + v\/(-2016) + -1 and 137\/12.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448) + sqrt(252)*-1)\/(-2*-2*(sqrt(4) - -2*sqrt(576))).\nAnswer: -11*sqrt(7)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c + 2. Let v be w(5). Let x = 71 + v. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**4\/6 + z**3\/6 - 2*z**2 + 5*z - 3. Let m(k) be the first derivative of g(k). What is the units digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 0 + 1\/9*c**2 + 1\/3*c**4 + 1\/3*c**3 + 1\/9*c**5 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - c. Let u(l) be the third derivative of -l**5\/60 + l**4\/8 + l**3\/6 + 2*l**2. Let t be u(c). Let n(r) = r**3 + 2*r - 1. Calculate n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**(1\/51)\/((((t*t\/(t\/(t\/(t*t**(-6)))))\/t)\/t)\/t*t**9)*t**(-1\/11)\/t*(t*t**(1\/2))\/t*(t\/t**2*t)**19 assuming t is positive.\nAnswer: t**(-45725\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4.1, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 25 = x + 9, 3*h + 3*x = -24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 49, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 2*g**3\/3 + 193*g**2\/2 + 136*g. Calculate the remainder when h(-38) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -797 + 1278. What is the smallest common multiple of 296 and t?\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 38 - 118. Let x(j) = 2*j - 3. Let z be x(2). Let t be (-1)\/(z\/(-13)) + 0. Calculate the greatest common factor of h and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13128 and 304232?\nAnswer: 499244712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-13 - 30) + -9 + 22.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -21. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367455, 734909, 1102363, 1469817?\nAnswer: 1837271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 515.888643 to the nearest integer.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -2*m**7\/525 + 19*m**6\/600 - 9*m**5\/100 + m**4\/15 + 2*m**3\/15 - 73*m**2 + 2. Determine c, given that l(c) = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46.15093 litres?\nAnswer: 46150.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0.02 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 15*o - 12 = 0. Calculate o.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 666 + -624. Solve -w*j = -31*j - 33 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1097*v = -1096*v - 88, 0 = -t - 13*v + 361 + 741 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -3022?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 16 - ((-6 - -27) + 22 + 3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44120606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12827344 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8571896l?\nAnswer: 857.1896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 1, j: 1, l: 1, v: 1}. What is prob of sequence jlv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4183*w**2 + 1361*w**2 - 8265*w**2 + 1358*w**2 + 1364*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i*i**0*i)*i)**(2\/29))**(-7\/2)\/((i*(i*i*i**(1\/2))\/i)**3\/(i**1*i*(i**1\/i)\/i)) assuming i is positive.\nAnswer: i**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3200 and 100224.\nAnswer: 2505600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029 = 106*v + 2619 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20222101222 (base 3) to base 6\nAnswer: -2535512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349185 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77940, 311918, 701940, 1248006?\n\"Answer: 78022*m**2 - 88*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*n**4 + (-n**3 + 2*n**2 - 2*n**2)*(-2*n + 5*n - 2*n) - 3*n**4 - n**4 - 3*n**4 - 7*n**4 + n**4 + 3*n**4 + 19*n - 2*n**4 - 12*n + 0*n**4.\nAnswer: -11*n**4 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2. Suppose -5*j + 0 = -25. Let c(q) = 26*q - 32*q - j*q. What is r(c(d))?\nAnswer: 1089*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1332 + 400*p**2 + 791*p**2 + 613*p**2 - 189*p**2 + 86*p**2 wrt p?\nAnswer: 3402*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 + 64 + 127 + 4*n**2 + 42 to l*n + u*n**2 + q and give q.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5269*d - 2840. Let y(a) = -9. Let u(h) = 13*y(h) - z(h). What is the first derivative of u(j) wrt j?\nAnswer: -5269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 6747357?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*m - 25. Which is the second smallest value? (a) 48 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**5\/60 - n**4\/12 + n**3 + 21. Let b(t) be the third derivative of c(t). What is b(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = -43*r + 196 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39600\/19381 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k + 3*k. Suppose -4*u = -14*u + 60. Let j(o) = u*o - 33*o + 10*o + 15*o. Determine j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 40239636600.2215?\nAnswer: 40239636595.2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 11*w**6\/60 - 5*w**5\/8 + 3*w**4\/8 - 71*w**3 - 215. Let j(c) be the third derivative of r(c). Find p such that j(p) = 0.\nAnswer: 3\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 22\/9, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28\/5*y**2 + 1\/5*y**3 + 141\/5*y + 198\/5 = 0.\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 a, 1 w, and 1 n when four letters picked without replacement from {v: 1, a: 2, w: 1, n: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 793, 780, 761, 736, 705, 668?\n\"Answer: -3*k**2 - 4*k + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488901147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 6. Let p(f) = 15*f - 22. Let i(n) = 6*p(n) - 22*t(n). Let z(a) = 11*a + 1. What is i(z(o))?\nAnswer: 22*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -z - 15, x = 3*z + 14 - 1. Let w = 0 + x. What is the greatest common divisor of w and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2 - -1) + 0. Suppose 11 = 2*r + x. Suppose 3*f = -4*q + 212, -q + 21 + 15 = r*f. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506366157 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1395\/775)\/(1\/((-60)\/9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2356.6 to the nearest ten.\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-2)\/(-1) + 6). Let s be x + -2 + -1 + 4. Let d = s + 8. Sort 5, d, -3 in ascending order.\nAnswer: -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:35 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c - 4*c**2 + 0*c**3 - 5307 + 5308 - 2*c**3 to u*c**3 + n*c**2 + y + s*c and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -100800 + 100800 - 14*y. Let k(m) = 153*m**2. Give s(k(p)).\nAnswer: -2142*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 81095.64 to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * 1752.\nAnswer: -4380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 18. Let l be j(-2). Let f be 15\/((-4)\/l - (-13)\/21). Find the second derivative of 54 + f*k + 30*k**2 - 26 - 28 wrt k.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j - 125. Suppose -7*b - 53 = -2*z - 2*b, 107 = 5*z - 4*b. Calculate the remainder when f(z) is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 6*c - 2. Let m be n(5). Let y = 28020 + -476362\/17. Calculate the common denominator of m\/9*9\/(-10) and y.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -6 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14888276)\/186586 - 12\/58.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43.4? (a) -3\/2 (b) 0.4 (c) 1\/12 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f**3 - 2*f**2 - 4. Let h(x) = -21*x**3 - 3*x**2 - 6. Give 3*h(p) - 5*w(p).\nAnswer: -13*p**3 + p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4\/2 + 279*o**3 + 16257*o**2\/2 - 90729*o + 214620 = 0.\nAnswer: -146, -49, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -8.9. Let t = 147 + -738\/5. Let z be (-2)\/10*5\/4. What is the closest to c in t, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2266 and -37\/728004?\nAnswer: 8008044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 + 201*d - 53. Give u(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17829668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 349.7292259494.\nAnswer: -349.4292259494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) - 1166\/(-6). Suppose -20 = 5*p - z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 100726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 4, -2, -8?\n\"Answer: -6*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-120)\/(-126) + 2\/(-3). Let x(p) = p**3 + 6*p**2 + 4*p + 5. Let f be x(-5). Let g be f\/(-4)*(-4)\/55. Which is the nearest to d? (a) g (b) 4 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*t**2 - 25 + 25 in the form a*t + x*t**2 + q and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 3*l**2 + 2*l. Let g be a(3). Let w(f) = -g - 2*f + 3 + 3*f. Let y be w(4). What is the closest to y in 0.3, -2, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/43990 and -97\/3710.\nAnswer: 307930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18602.46 and 0.5.\nAnswer: -18601.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 16163.09122?\nAnswer: 16166.09122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 6, t: 3, w: 1}. Give prob of sequence aa.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.293 to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2880 and 10119110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 9, h: 3, a: 5}. Give prob of picking 1 y and 2 b.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:21 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**4 - u**2 - 4*u. Let y(m) = 9*m**4 - m**2 - 3*m. Let p(g) = -3*f(g) + 4*y(g). Find the third derivative of p(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-20)\/((-200)\/(-30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o = -13*o + 401004. What are the prime factors of o?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 39371*v + 590547. Determine r(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from jjovpjoppjjjmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 64 = -4*o. Let f = 405 - o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364606 is divided by 145.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -4\/3, 0.05, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*t + 5*i, 28 = 4*t - 5*i + 54. Suppose 2*n + 4*w = 14, -n + w = n - 4. Sort n, -1, t, 2.\nAnswer: t, -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -712326 - 3.324084\nAnswer: -712329.324084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 10. Let o be i(-9). Suppose 2*h + 2*z - 90 = 0, 0 = 5*h - 3*h - z - 75. Let n be 44\/h + (-3)\/3. Is n > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*q**3 + 54 - 140 + 62 + 22.\nAnswer: -536*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/17))\/(s*s*s**5\/s*s)*s**(-2\/3)\/s**6 assuming s is positive.\nAnswer: s**(-652\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.094 (b) 0.4 (c) 41.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c57 - -624?\nAnswer: -5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 917554 and 141768.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1372 plus 0.19?\nAnswer: 0.3272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*r + 42*r + 44*r as n + o*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - -2*sqrt(1008) - sqrt(126)\/sqrt(2)*5)\/(sqrt(45)\/(-3*sqrt(15)\/sqrt(3)))*3 + 3.\nAnswer: -36*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 18*x - 13*x. Suppose -2*m + 4*m - x = 0. Suppose m*y + 3*j = 7*j + 128, 0 = 5*y - 3*j - 150. Calculate the greatest common factor of y and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 + -29207095421.297\nAnswer: -29207095421.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 228 = 237 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/9)\/((x**(-11)*x)\/x*x*x))**(3\/14)\/((x*(x*x**(-8)*x)\/x*x*x**3)\/(x**4*x\/(((x\/((x*x**1)\/x))\/x)\/x))) assuming x is positive.\nAnswer: x**(230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-5)*2\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 1220.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5785536 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 25*l + 162. Give x(-17).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 5. Let r be y(0). Suppose 4*d - 4*a - r = 27, 0 = -3*d + 2*a + 19. Solve 6*s - d*s - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 5*(0 - -1). What is the remainder when 44 is divided by ((-6)\/6)\/(a\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.78 - 244.78. Let r = -240.9 - j. Which is the closest to -2\/3? (a) r (b) -1\/2 (c) 4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 5*k**2 - 4*k**2)*(-17 + 17 - 6*k) - 5*k**3 + 2*k**3 + 5*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388936?\nAnswer: 2, 61, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/21))**(-1\/36))**(-21) assuming y is positive.\nAnswer: y**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 6440984.\nAnswer: -13\/3220492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 342 = -3*n, -n + 103 = -6*b + b. Let s(t) = 4*t**3 + 118. Let y be s(0). Let j = y - n. Solve 4*x + 8 = 3*a, 8 = -4*x + a - j*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782682.\nAnswer: 2, 7, 47, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -9 + 3 - 5) + (-5 - -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilcw when four letters picked without replacement from wiwiciilwi?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 126312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (25 - 39) + 2 + 0 + 0 + -56\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 14*c + 8. Let u be w(11). Let p = 9 + u. Calculate the remainder when p is divided by 1\/(-2) + (-81)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -4\/5, 41064, -0.152 in decreasing order.\nAnswer: 41064, 3, 1, -0.152, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-282)\/(-235) + (-10)\/(-25)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 10:50 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*i = 731 - 770, -i = -2*m + 13 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26585219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {g: 1, e: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 2:12 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 5*k + 10, 10 = -142*k + 137*k - t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2379864300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2060 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 118.\nAnswer: 40\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/3 of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**5 + 98013*q**4\/2 + 122499*q**3 + 48993*q**2\/2 - 48999*q = 0?\nAnswer: -16333, -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 58. Sort v, 4, 3\/4, 3 in decreasing order.\nAnswer: 4, 3, 3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2260 - 1250 = -351*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54822, -54913, -55002, -55089, -55174, -55257, -55338?\nAnswer: -55417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.099 rounded to 1 decimal place?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 282, 1198, 3692, 8556, 16582, 28562, 45288?\n\"Answer: 132*y**3 - 3*y**2 + y + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 50 = 0. What is the second smallest value in -1, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 7*h**2 + 8*h + 2. Determine r(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1410 and 6796670.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose -6*g = -2*g - 12. Solve t = -p - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4461 is divided by 2112?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 - 5 = 0. Is 0 + 2 - 138\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*m**3 - 292*m**4 - 58*m**3 + m - 117*m**4 as v*m**4 + k*m**2 + g*m + u*m**3 + l and give v.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10197*l = 9325*l - 40112 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 16 - 1. Suppose 3*z - 90 = -r*x, -2*x - 3*z + 27 = -0*z. What is the least common multiple of x\/2 + 3\/(-2) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 14. Let v be a(7). Suppose v = 3*p + p. Suppose 3*m - 72 + 9 = p. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1337)\/(-84) - 16)*(-14*24\/(-16) - 6).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/(m**(2\/3)\/m))\/((((((m*m**(-5))\/m)\/m)\/m)\/m)\/(m\/(m**5*m*m))) assuming m is positive.\nAnswer: m**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let z(w) = -w - 1. Let p(x) = -4*x**2 - 13*x - 12. Let t(v) = -p(v) + 4*z(v). Let r(f) = 5*h(f) + t(f). Give r(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 341*i - 29084. Determine j(-172).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 2*c**2 - c + 1. Let v be j(-2). Suppose 0 = -5*y - 3*q + 4*q + 29, -3*y + 35 = -5*q. Put y, v, -4, -1 in decreasing order.\nAnswer: y, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48, 55, 22, -51, -164, -317, -510?\n\"Answer: -20*k**2 + 67*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 11*u + 99. Calculate the remainder when 7936 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2. Let m be b(0). Suppose 0*v + 3*v - 9 = m. What is the remainder when 11 is divided by 1 + -1 + v*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 18. Let j(z) = -5765*z. Calculate j(m(a)).\nAnswer: 11530*a**2 - 103770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/3)*p)\/(p**(-6)\/p)*(p**(-7))**(1\/53) assuming p is positive.\nAnswer: p**(1304\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let p(h) = -h**3 + 16*h**2 - h + 18. Let b be p(16). Are c and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3328991147?\nAnswer: 3328991147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9432*n. Let p(x) = -2*x**2. Calculate w(p(t)).\nAnswer: -18864*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 60?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6765339 - -3765341. Let i be 6\/2 - 1 - b. Round i to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8667.4 millilitres to litres.\nAnswer: 8.6674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3659 less than -443513?\nAnswer: -439854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2745408 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t. Let x be n(-2). Let d be 2\/x*(-20)\/2. Suppose 4*o - 188 = 4*h, -4*h = h + d. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698972 is divided by 216?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3780 + 12.\nAnswer: -3768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 137*x**3 + 2*x**2 - 6*x + 5. Calculate the remainder when 817 is divided by n(1).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/120 - (-1162572)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**42)\/n**(-48) assuming n is positive.\nAnswer: n**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -206588.\nAnswer: -14\/51647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -218431 divided by -27\nAnswer: 218431\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) 4 (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/m**(5\/6))**(-49) assuming m is positive.\nAnswer: m**(-1813\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/160 and -179\/90.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**3 + 335*p**2 - 41*p + 83. Let t = -4 - -3. What is the remainder when r(-42) is divided by 4 + (t + 0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 18*k + 49. List the prime factors of r(38).\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5458079 hours in seconds?\nAnswer: 1964.90844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 4*l + 3. Suppose -19 = -5*r - 9. Suppose -r*d + 18 = -4*b, 0 = -2*d + d + 5. Calculate f(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 105*t**3 + 24*t**2 + 24. Let p(i) = -i**2 + 5*i + 774. Let j be p(-25). Let f(b) = 21*b**3 + 5*b**2 + 5. Give j*f(u) - 5*a(u).\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 1:46 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 193 = -191 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 + 3 - -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654 is divided by 1327.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 1\/17 (c) 2\/13 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 11 = -0*w - 7*b, -5*w - 13*b + 545 + 447 = 913 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 12*z - 5)*(-5 + 1 - 5).\nAnswer: -108*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m - 6. Let q be l(9). Let a = 53 - 34. Calculate the highest common divisor of a and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3*u**3 + 7*o**3*u**2 + 2*o**3 + 51*o**2*u wrt u?\nAnswer: 18*o**3*u + 14*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/15, 2\/19, -396?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 2363130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-200)\/627 - (-1)\/3. Suppose -16*r + 5*j = -19*r + 13, -2*r + 6 = 2*j. Is r less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/4 + 11757*x**3\/2 - 72183*x**2\/4 - 6330027*x\/2 - 9173970 = 0.\nAnswer: -7841, -20, -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8*d - 39 + 61 = -5*u + 7*d - 54, -4*d + 32 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1349323178 to three dps.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kddddikddidik. What is prob of sequence id?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 988?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, b: 2, d: 11, v: 3}. Give prob of sequence yvv.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 496b1 (base 13) to base 15\nAnswer: 2a0ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -22. Let w = -16 + n. Are 0 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**2 + 1. Let k(h) = -h**2 + 10*h + 3. Let o be k(9). Let y(g) = -14*g + 24*g - o*g. Calculate y(i(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 9*l - 3. Let b(s) = 3*s**2 + 10*s + 2. Give -3*b(n) - 2*z(n).\nAnswer: -3*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2. Let o(p) = -p + 9 - p - 9. What is o(x(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1778536 (base 10) to base 8\nAnswer: -6621550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 71*s + 125. Give c(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 7. Let a(q) = 1. Let j(d) = -6*a(d) + k(d). Let b be j(0). Let n = 31 - b. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 20*m - 68, 60 - 39 = 3*m - 3*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 + 3573*l**4 - 154260*l**3 - 516540*l**2 + 961488*l + 1320192 = 0. Calculate l.\nAnswer: -4, -1, 2, 48, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5605, 5591, 5577?\nAnswer: 5563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muq when three letters picked without replacement from qmu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 + 7*z**2 - 2*z**2 + z**4 + 90 - 91 to the form t*z + s*z**4 + o*z**3 + r*z**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -26.11. Let n = t + -1.69. Let a = n - -2.15. Round a to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1237*s + 54651 = -2788*s + 251876 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let u(m) = -m**3 + 6*m**2 + 5*m - 12. What is the least common multiple of i and u(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 222*w**2 + 226*w + 2046. What is y(-221)?\nAnswer: 941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 9 = 2*a. Let s(y) = 134*y + 70. Let g be s(17). What is the remainder when 5\/35 - g\/(-28) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101000111110 + 11?\nAnswer: -11101000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*g**2*q**3 - d*g**2 + 24*d + 4*g**2*q**2 - g**2*q + g - 9*q**3 wrt q.\nAnswer: -12*d*g**2*q + 8*g**2 - 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -5*d + 46, -67 = 3*a + 2*d. Let r = -12 - a. Calculate the remainder when 21 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12132 - -4314?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 63684 (b) 2.3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -14. Let v(t) = -1 + t**2 + 0*t - s*t - t + 3*t. Let l = 9 - 3. Determine v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = -5*p - 334, 3*y = -4*p + 343. Suppose 0 = -8*o + 23 + y. Solve 5*k - 3*n = o, 10 = -2*k + 3*n - 6*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -3*k**2 + 25\/14*k**4 - 250\/21*k**3 - 1\/7*k**5 + 1\/210*k**6 + 0*k - 1. Factor g(p).\nAnswer: 4*(p - 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 651.\nAnswer: 2\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 2*t**2 + t**2 - 3 + t**2 - t in the form q + z*t**3 + m*t + j*t**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 + 0)*(1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 5599377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 333 - 124956*q + 155 - 3*q**3 + 124956*q in the form k*q + n*q**2 + m*q**3 + t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080353937 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.189 less than -0.5?\nAnswer: -0.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1) + (0 - -1). Let p = 0.042 - 5.042. Which is the third smallest value? (a) -4 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1540 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 + 265*c**2\/3 - 6476*c\/3 + 11900\/3.\nAnswer: -(c - 238)*(c - 25)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = -l + 2, 2 = -l - 3*g. Let p be 0\/((-1 + 5)\/l + 0). Factor p*d + 4\/7*d**2 - 4\/7.\nAnswer: 4*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 - (0 - -2)) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8588 divide 317103861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 807073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.808 or 35?\nAnswer: 0.808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*m**2 - 56*m**2 - 30*m - 1 + 95*m**2 + (0*m + 0*m + m)*(-2*m + 3*m + 0*m) + 2*m**2 + 3*m**2 - 4*m**2 to the form k*m + i + c*m**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 25*q**2 + 30*q - 16. Let z = -112 - -144. Suppose -z = -8*t + 160. Let k be v(t). What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 4*z - 1 = -12*k, k - 1 = 5*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:40 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b**4*k + 30*b**2*k**2 + 2*k**2 + 23 wrt b?\nAnswer: 20*b**3*k + 60*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - t - 465179 - 465334 + 930513.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*b**5 - 1755*b**4 - 30380*b**3 - 107645*b**2 + 106800*b + 32960 = 0. Calculate b.\nAnswer: -8, -1\/4, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n - 4. Let l be v(-4). Solve d = l - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-1\/7))\/d*d)\/d**2*(d\/(d**1*d*d*d))\/((d*d**(1\/8))\/d))\/(((d\/(d*d**(1\/8)\/d*d*d))\/d**(-3\/5))\/(d**(-3\/4)*d*d**(-3))) assuming d is positive.\nAnswer: d**(-769\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 628830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*-3)*5 - -1*(-3*sqrt(114) + sqrt(114)))\/((sqrt(30) + (-2*sqrt(270) - sqrt(270)))\/(sqrt(20)*-4)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 7*h - h + 4*h - 3*h. Let c(b) = 19*b. Give y(c(d)).\nAnswer: -114*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 63*d + 60. Determine n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -6 + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 40 = 8. Suppose 2*l + 3 = -13. Let k = l - -11. Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10247056 and -77\/13736.\nAnswer: 10247056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1 + 5*b - 1 + 10 + b**2. Let w be c(-6). Let r be 4\/w - 24\/(-14). Solve 0*h + r*h - 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 31*k - 60 = 0. Suppose -17 = 3*a + 13. Let m = a - -25. What is the greatest common factor of k and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-8.48\nAnswer: 8.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55640896*s**3 - 2*s**2 + 120291431*s wrt s.\nAnswer: 333845376*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231100 (base 4) to base 9.\nAnswer: -3867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 0, 3*y - y + 678 = -n. Let j = y - -342. Solve -j*w + 0 = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*y + 44 = -83*y. Let z be 4 + (-1)\/(12\/y). Which is bigger: z or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3638 (base 11) to base 3.\nAnswer: 20112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -23 (c) 35690.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(-2 + 2 - 1) - 34 - 15 + 94)*(-v - v + v).\nAnswer: -46*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51831*s - 465849 wrt s.\nAnswer: 51831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4253.99688 to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2464627513 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 11. Let h = 0.0173 + 2.9827. Sort -3\/7, c, 2, h in decreasing order.\nAnswer: h, 2, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/23123?\nAnswer: -2\/23123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -3, -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3010 and 1890.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.03 (b) 0 (c) 152\/81 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5409, 10788, 16139, 21462, 26757, 32024, 37263?\n\"Answer: -14*y**2 + 5421*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6))**27*x*x**(-30)*x\/(x*x*x\/(x\/(((x\/(x*x*x*x\/x**(-1\/58)))\/x*x*x*x)\/x))) assuming x is positive.\nAnswer: x**(-681\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16077, 16068, 16059, 16050, 16041?\n\"Answer: -9*d + 16086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -191682393 divided by 93?\nAnswer: -2061101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from ttqqoqoqtqzqott?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 4*l = 192, 2*l + 43 = k. Suppose x - 2 = -2*n + 5, 4*x + 3*n = k. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - sqrt(45)\/(sqrt(36)\/sqrt(4))))**2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 28. Let n(t) = t**2 - 10*t + 2. Let s be n(10). Suppose -6 = o - s*o. Does 16 divide k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -641123, -1282311, -1923497, -2564681?\nAnswer: -3205863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(6\/(-45)*-10)\/(-26).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x + 1565*x**2 - 1241*x**2 - 822*x**2 to c + s*x**2 + f*x and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/631 or 1?\nAnswer: 2\/631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:32 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqaaqqaqqaqqq. Give prob of picking 3 q.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alllacvavvaavcccava. What is prob of picking 3 c?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(15\/(-225)*-65)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6777825, 13555687, 20333551, 27111417, 33889285, 40667155?\nAnswer: 47445027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54202 - 24*n - 22*n - 54202.\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 (base 6) in base 7?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54848 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.75 - 47.75. Let y = k + 46.35. Let w = -0.65000066 - y. Round w to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/600 - n**5\/50 + n**4\/15 + 10*n**2. Factor z(q).\nAnswer: q*(q - 4)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/(171\/198)*(-12)\/(-3). Suppose 42*y + u = 64*y. Solve -20 = y*f, -3*c + 22 = -f - 4*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87 - 200?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 31 = -3*d, -3*w + 24 = -0*w - 3*d. Calculate the remainder when 27 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3479\/52 + 876\/13. Find the common denominator of t and 13\/84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4\/11, 5, 6\/11, -50?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6650*r + 4206*r - 353784 - 707772 = -193076 for r.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 54*h - 600. Calculate the least common multiple of h and 370.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07173 minus 21924362423?\nAnswer: -21924362423.07173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 1, h: 1, i: 1, l: 2}. What is prob of sequence gh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187558313\/1894 + -198055\/2. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let s = 467 - 28019\/60. Let j(v) be the third derivative of 0*v**4 + 0*v - v**2 + 0 + s*v**5 + 0*v**3. Give w(j(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c026 (base 14) in base 9?\nAnswer: 50184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 261\/(-58) + (-3)\/(-6). Let f = -54 - -53. Put 5, 8, f, v in increasing order.\nAnswer: v, f, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 17 + 6 = 9. Solve -2 = -p + g for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 5*j**2 + 5*j - 65. Calculate y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -478 (base 10) to base 8\nAnswer: -736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15228, 15220, 15206, 15186?\nAnswer: 15160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose -h = -s - 2. Suppose 0 = 5*u + 5*o - 15, o - 14 = -s*u + 3*o. Solve -u + 1 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 150*b - 2546. Let x be a(17). Let m(p) be the first derivative of -6*p**3 - 5\/2*p**4 - x*p + 26 - 7*p**2 - 2\/5*p**5. Factor m(w).\nAnswer: -2*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:51 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 + 65*u + 236. Calculate h(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4749 - -5800. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p. Let c(o) = 3*o**2 + 35*o. What is c(h(y))?\nAnswer: 75*y**2 + 175*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2139 - 8*c**3 + 26*c**3 - 8*c + 2*c**2 - 2*c**2.\nAnswer: 18*c**3 - 8*c + 2139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.021331 (b) -2.8 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 - 39860*m**3 + 4811830*m**2 - 18728940*m + 13956975 = 0. Calculate m.\nAnswer: -8091, 1, 3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c. Let g(u) = u**3 + 5*u**2 + 2*u - 6. Let m(r) = -g(r) - 2*z(r). What are the prime factors of m(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 7*t**2 - 4*t - 8. Let i be q(6). Suppose -4*n - 6 = 2*k, 2*n + 6 = i*n + 4*k. Calculate the remainder when 2\/n + 71\/3 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4506 a factor of 11618295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404080912 divided by -9855632.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1552?\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 3 (c) -67\/3 (d) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*9\/(-36) + ((-2)\/(-6))\/((-23)\/(-483)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*s + 144*s - 276*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3*f + 2. Let x be h(3). Suppose 5*w = x*w + 951. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {e: 3, y: 4, z: 1, h: 2, f: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45616 + 40341 + 37208 - 92577)*(3*j**2 + 2*j**2 - 7*j**2).\nAnswer: -61176*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -0.2, 0.2882, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -213*s**2 + 130*s**2 + 150*s**2 + 1 + s. Calculate z(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.33 (b) 279 (c) -1\/4 (d) 0.2 (e) 0.1 (f) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.362 - 199.362. What is the smallest value in t, 0, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61099)\/(-8) + 18\/(-48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-12 + (-15 - -19))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**2 - 21771*r + 65302. What is i(3)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q - 2*q**4 - 2 - 5*q**2 + 5*q + 2*q**2 + 3*q**3 - 23*q in the form r*q + u*q**4 + a*q**3 + p*q**2 + v and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3520.95 + -3119. Let k = s + -402. Which is the nearest to -1? (a) -1\/2 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 3. Let i(o) = -6*o - 16. Let q(p) = -2*i(p) + 11*j(p). Let f(z) = z - 3. Let x(c) = -4. Let g(u) = -3*f(u) + 2*x(u). Determine -g(m) - q(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 26*r**2 - 23*r + 88. List the prime factors of u(14).\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*s + 106*s, 3*n - 1567671 = -3*s. Let c = -144273 + 71716. Let k = c + n. Round k to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.1 and 0.074.\nAnswer: -0.6734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h + 13 + 10 - 25 as v*h + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.10977 and 0.4.\nAnswer: 0.043908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - 111. Let p(b) = -22 + m + b. Let x(z) = -z**2 - z - 1. Let l(t) = -3*t**2 - 6*t - 6. Let y(g) = l(g) - 6*x(g). Give y(p(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or 0?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -41, -42, -43, -44, -45?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 10*o**2 + 11*o + 18. Let x be a(-9). Suppose -5*q + 1422 + 123 = x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -456 + -55866?\nAnswer: -56433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/95*(-22)\/11.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2699988036.\nAnswer: 2, 3, 3539, 63577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*w = -11, 227*d - 230*d + w = -8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33583 - a9?\nAnswer: -3364c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4 - (-4 + 6). Let n(p) = 3*p - 4*p - p - 1 + g*p**2 - 2. List the prime factors of n(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k + 15 = 0, 2*n + 1 = k. Is n\/(-5) - 4387\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 20*n + 124. What is d(7)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 574795579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*m - 4*r, -7*m + 6*m + 6*r - 11 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 - -1386?\nAnswer: 132a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 389.7443kg?\nAnswer: 389744300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -27. Suppose 7*y - 4*y + 5 = -5*g, -4*y = -5*g - 40. Suppose 3*i + y*p - 67 = 0, -u*p = -0*p - 6. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(76) + 2.\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d**2*z**4 - 3*d**2*z**3 + 12*d**2 - 2*d*z + 3*z**2 + 2*z wrt z?\nAnswer: -168*d**2*z**2 - 18*d**2*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 7. Let d = r - -12. Which is the second smallest value? (a) d (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191523 by -63841.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:50 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 24. What is the lowest common multiple of 8 and f(18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111741734*p**3*q + 51677625*p**3 - 2*p**2 with respect to q.\nAnswer: -111741734*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89.806 - -0.194. Let y = p - 92. Suppose 2*s = 5*j + 18, -4*s + 27 = -s + j. Which is the nearest to y? (a) s (b) -2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:44 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2.97, 0.5 in decreasing order.\nAnswer: 1, 0.5, -2.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(27))**2 + -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 53000?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.64 to one decimal place.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25091*t + 17545 = 25410*t for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2*z - 1. Let i(g) = -7*g - g**3 + 2 + 0*g**2 + 6*g**2 + 5. Let a be i(5). Calculate the remainder when 41 is divided by v(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 60*i. Let t(r) = 917*r + 2. What is -6*o(f) - t(f)?\nAnswer: -1277*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**3 - 2*m**2 - 35*m**3 + 64*m**3 to l*m**3 + g*m + w + y*m**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8.5, -332, -2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*(-3)\/6*2231\/97.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + (10 - 33) + 1 - -67) + -10.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -12. Let m = -0.01 + 0.11. Which is the nearest to m? (a) 1\/3 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(48) - (sqrt(3)*1 + sqrt(3) + -3 + sqrt(3) + sqrt(3)))**2 + (-3 + sqrt(12) + 4)**2 + 5 + 1.\nAnswer: 28*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2962625941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3711 (base 8) in base 12?\nAnswer: -11a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/6 - 5*w**2 - 2*w. Let l be a(-8). Let m be (l\/32)\/((-2)\/12). Put m, -2\/7, 4 in ascending order.\nAnswer: -2\/7, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705036991?\nAnswer: 705036991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 - -9?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*f**3 - 8*f**3 + 8*f**3 + 42*f**3 + f**2 + 48*f wrt f.\nAnswer: 366*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7609 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1681 - 1676. Solve 0 = -5*p - 4*o, -33*p - j*o = -34*p - 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (3 + 2 + -4). What are the prime factors of 13\/s - (-6)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 25 = 5*k. Let m be ((-3)\/4)\/((-7)\/140). Suppose -2*b + 5 = 2*q - b, q - 10 = -2*b. Solve q = -k*z + 4*z - m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2100*y**2 - 90894*y + 543346447 with respect to y.\nAnswer: -4200*y - 90894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let b(k) be the third derivative of k**7\/840 + k**4\/24 + 2*k**2. Let q(o) be the second derivative of b(o). Give q(c(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -1\/41, -458, -6?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941084402?\nAnswer: 2, 17, 19, 76673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -224 + 216 - (2 + -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0.01, 1 in decreasing order.\nAnswer: 1, 0.01, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -23. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**(-10)*w*w*w**6)**(-7\/5)*w**2*w*w\/(w**(2\/31)*w)*w**(-8)*w**(3\/8) assuming w is positive.\nAnswer: w**(-42271\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-63)\/54)*(-2)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 1\/5*f**4 - 12\/5*f**2 - 14\/5*f - 2\/5*f**3.\nAnswer: (f - 5)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -14. Suppose n = -5*h + 4. Let w(g) = -3*g**2 - 1. Let m be w(1). Sort h, m, -2 in decreasing order.\nAnswer: h, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8893\/35564 + -1\/17782. What is the fifth biggest value in 4, m, 17, -6\/11, 0.2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-35)*3)\/(267\/534*2\/(-3))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12238 (base 12) to base 15\nAnswer: 73ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(3\/16)\/(o\/(((o*o\/(o**(1\/5)\/o))\/o*o)\/o)*(o*o*o*o**(-2))\/o) assuming o is positive.\nAnswer: o**(59\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 8*i - 2017 = -2045, -32 = z - 5*i for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:37 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 2*c**3\/3 + 3*c**2\/2 - c. Suppose 4*u = -4*f + 8, 4*u + f + 5 = 1. Determine m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*y**3 - 2 + y**4 - 9*y**2 + 42*y**3 to the form j*y**3 + d + c*y + s*y**4 + o*y**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-25) + 58\/10. Let v(m) = 10 - m**2 - 4 - 11 + z*m. Let x be v(4). Solve -5*j - x*q - 13 = 0, 4 - 10 = 2*j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(6\/11))**(-6\/23)\/(s**(1\/29)\/s**(-24)) assuming s is positive.\nAnswer: s**(-177211\/7337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:02 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497?\nAnswer: 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201 - 4 + 297 + 76 - 2*x + 326 to the form j + h*x and give j.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by 28.\nAnswer: 47\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -371 (base 14) to base 3.\nAnswer: -221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -8. Let z = -0.54 + 0.04. Which is the closest to 1? (a) -2\/9 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 118556395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayg when three letters picked without replacement from yaagejggay?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 299 + -295. What is the highest common divisor of v and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 3*c**2 - 5*c**2)*(-3*c + 2*c + 3*c) + (6 + 8*c - 6)*(7*c**2 - 3*c**2 - 3*c**2) + 12*c**3 + 0*c**3 - c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110 (base 2) to base 9.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06677, -2\/7, -3\/2, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/35*(-49 - -14). Sort 3, p, 16.\nAnswer: p, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/2 (b) 5 (c) -5 (d) 9 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 340*a + 5. Let t be s(4). Suppose t = -11*u + 8350. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*b**2 + 71*b**2 - 282*b**2 + 73*b**2 + 67*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4540 (base 6) to base 16.\nAnswer: -42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -180248673962 - -5?\nAnswer: -180248673957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24 - 1 = 0. Suppose -h*r - 10 = 0, 0*i + i = 5*r + 27. Let p = 19 - i. What is the remainder when 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-1*3)\/(-3)). Let p be a\/(-21) + 16\/7. Suppose -p*g + 0 + 4 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 9*g**2 + 5603*g + 10*g**2 - 4066*g + g**3 to q*g**4 + j*g + z + k*g**2 + c*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 210*0.4\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 + 11 = 5*a, -2*m = -4*a - 2. Suppose 3*u = -5*b - 11 - 11, -20 = m*u + 5*b. Let r be 17\/5 - (u - (-6)\/(-10)). Solve g = -2*g + r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/4*(-581)\/166.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 6, -2 = r + i. Let q(k) = 2*k + 1. Give q(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31767 by 10589.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-2 - (-2 + 5)). Let f = 0 - -5. Put m, f, 3 in decreasing order.\nAnswer: f, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 5*p + 0*p in the form d*p + v and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13679 is divided by 282.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14114 times 880?\nAnswer: -12420320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48557\/2220 - 710\/37. Calculate the common denominator of -85\/12 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -12. Suppose -3*l - l = -t. What is the remainder when 23 is divided by 108\/20 + l\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68381903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48745500 divided by -1500?\nAnswer: -32497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 2*p - 4. Let h = 21 - 16. Suppose 0*m + 26 = -2*m - h*l, 0 = 4*l + 16. Give b(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2331.115 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 6*z**2 - 2*z + 3. Let m(s) = -2*s**3 - 5*s**2 + 3*s - 2. Let i(c) = 2*m(c) + 3*o(c). Find the first derivative of i(v) wrt v.\nAnswer: -3*v**2 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnkuukkuuuzkkkkukzu. What is prob of picking 1 n, 1 u, and 1 z?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 140\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1573132 (base 8) to base 11\nAnswer: 2918a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 47 (c) -0.3 (d) -186\/11 (e) -1\/301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/13 - 1)\/((-8584)\/111592).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2268, -2285, -2328, -2409, -2540, -2733, -3000?\n\"Answer: -2*i**3 - i**2 - 2265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*j**3 + 10*j - 18?\nAnswer: 798*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -2*n, 2*u - 5*n - 80 = 0. Solve -5*w - y + 6*y = u, -y = 4*w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.03190958 to two dps.\nAnswer: -6.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (40 - (0 + 3 + -22))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + f)*(5 - 2 + 6 - 3 + 1 + 1 + (2 + 1 - 1)*(-1 - 2 + 2) + (-89 + 175 - 83)*(4 + 2 - 5)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 79*g**2 + 1251*g**4 - 9*g**5 - 24*g + 5*g**2 - 102*g**3 - 1200*g**4 = 0. Calculate g.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 134 = t, -t + 106 = 5*h - 120. Calculate the highest common factor of h and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001682499 rounded to seven dps?\nAnswer: -0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:06 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 33. Let f be z(16). Let n = f - -104. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/25833996 and -45\/24398774.\nAnswer: 439177932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4166*0.4.\nAnswer: -1666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 79*w - 602. Calculate y(29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 55 and 59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1197750+-11\nAnswer: -1197761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 8*f**2 + 23*f - 62. Let h be j(10). What is the common denominator of -97\/16 and 458\/(-476) + 1\/((-56)\/h)?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5690*b**2 - 40*b + 7. Let p(y) = -2845*y**2 + 16*y - 3. What is 2*o(t) + 5*p(t)?\nAnswer: -2845*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -3) + 24 + (-30 - (5 - 16)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 11) to base 15\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -555914345 rounded to the nearest one million?\nAnswer: -556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0.063151645013?\nAnswer: 1.936848354987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1)*21\/(-175)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 7*k**2 - 2*k - 7. Let b be v(3). Suppose -b = -9*d - 14. Solve -d + 11 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -34*w**2 + 970*w - 50. Let u be v(38). Is -12285 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)*d)\/d)**(9\/5)*(d*d\/d**(-1\/6)*d)**(2\/67) assuming d is positive.\nAnswer: d**(1301\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*r - 1 = -0*r, -5*w + 2*r + 34 = 0. Let n(p) = 4*p + 1. Let z be n(1). Suppose z*q - 5 = 0, -3*v + w = q + 1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601452 is divided by 239?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4 + 66453*l**3 + 66456*l**2 = 0.\nAnswer: -1, 0, 22152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-99)\/3*3. Find the common denominator of -2*1 + q\/40 and -27\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3038*v + 3977.\nAnswer: 3038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:10 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/3 - 24*i**3 - 648*i**2 + 51*i - 72. Let d(w) be the first derivative of o(w). Factor d(s).\nAnswer: -4*(s + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -20. Let y = 9 - l. Let h be (0 + -1 - -3) + y. Sort h, -3, 1.\nAnswer: h, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d + 3. Let o(g) = g**3 + g + 2. Let p be o(0). Let k(s) = -4*s - 2*s**2 + 2 + 2*s + s**p. Determine k(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08344 + -117.28656. Round m to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-80)\/5*28\/(182\/13).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5796)\/(-621))\/((-4)\/6 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 167*q + 18. Let g be v(4). Suppose a = 3*a - g. Let c = a - 533. What is c rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 39*w + 6. Suppose x = 17 - 34. Let f be h(x). Round f to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*3\/(72\/8)*6\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 2*z + 4. Let q be c(9). Suppose q = 3*r + w, -w + 8 = -0*r + r. Suppose 2*s + r - 99 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, 25545\/14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 - (-45)\/(-84). Suppose -3*m + 4 + 5 = 0. Suppose 2*s + 3 = -m. Which is greater: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 421*p**3\/3 - 337*p**2\/2 + 2*p + 759. Find the second derivative of t(m) wrt m.\nAnswer: 842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7112, 14315, 21518, 28721, 35924, 43127?\n\"Answer: 7203*d - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/((-88)\/4536)*4*142500. What is d rounded to the nearest 1000000?\nAnswer: -323000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2173.8463 and 12.621.\nAnswer: -2161.2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-4 + -14 + 17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/1 + (-2)\/(-4). Suppose 0 = -2*n - 4*y + 12, -4*n = n + 2*y - 14. Solve -q*x - 1\/4*x**n + 0 = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = 5 - 77. Put f, 3, 2, -13 in increasing order.\nAnswer: -13, 2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + (-7)\/3. Suppose -25 = -3*t - g, -2*t - 2*g = -6*t + 30. What are the prime factors of b\/t + (-154)\/(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -1) + -11 + (-1 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23113.55 days?\nAnswer: 554725.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-14)*(-14)\/4*12. Let x = 2 - y. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 7*b - 3*b + b. Calculate s(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/9))**(-1\/5) assuming l is positive.\nAnswer: l**(-11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 96*d - 682. Let r be t(8). Calculate the greatest common factor of r and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1224 divide 25398000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449828?\nAnswer: 2, 3, 17, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {e: 7, g: 2, l: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 10) to base 5.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**3 + 7*p**2 + p - 11. Let y(n) = -5*n**3 + 6*n**2 + n - 10. Let o(u) = u**3 - 20*u**2 - 6. Let w be o(20). What is w*b(x) + 7*y(x)?\nAnswer: x**3 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9618*b + 725624 = -341974 for b.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 3, 68, -0.2, -0.3 in ascending order.\nAnswer: -0.3, -0.2, 1\/8, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**4 - 159*c**2*k - 4*c*k + 1739*k wrt c.\nAnswer: 4*c**3 - 318*c*k - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-1)\/4*1*5. Let h = -120.03 - -120. Sort p, 5, h, -0.1 in increasing order.\nAnswer: -0.1, h, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 96 = -n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 18*d = -126, -90*o + 85*o + 114 = -2*d for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154979 is divided by 1366?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1080908079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 11*n**2 + 2. Let w be c(11). Suppose -4 = -3*l + w. Is -1 - (l - (2 + 38)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u = -36*u - 152*u - 253*u - 9520 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4565 + 0.4\nAnswer: 4565.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g - 124. Let l = g + 31. Let t be 1*(l\/(-4) - 0). Solve 0*z - z + 5*f + 18 = t, 0 = -4*z + 3*f + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2540)\/43 + (-28950)\/(-414950)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 3*r**2 - 5*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -8. Let q be 3\/a*(-4)\/(-6). What is the second smallest value in q, 1, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19820 = -y + 6*y. Suppose 19*s - y = 15*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*a - 14, 0*a - 4*a = -5*n + 2. Suppose 3*j = -3*i + 819, -j + 187 + 74 = -a*i. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25821 + 38757. Is o a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.237 + 1.437. Let m = 77 + 23. Is a > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -443 + 275. What is the remainder when u*(0 + 7\/(-14)) is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*s - 9*s. Is -192\/11 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 32)\/(153\/((-1836)\/(-24))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - 104. What is the second biggest value in w, 78, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4*s - 10)*(6 + 13 - 14 + 159*s - 5).\nAnswer: -636*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4)\/v*v)**41)**39\/(v*(v\/(v**1*v))\/v*(v\/(v*v**(-2\/13)))\/v)**(-25) assuming v is positive.\nAnswer: v**(18387\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*-75*24\/(-9). Let o = 104 - h. Suppose -425 = -z - o*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 84.074. Let l = 48.256 + -48. Let m = l - u. Round m to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 8*a + 15*a**4 - 135*a**3 - 12*a**2 + 117*a**3 + 16*a - 3*a**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2093, -2095, -2105, -2129, -2173, -2243, -2345?\n\"Answer: -v**3 + 2*v**2 - v - 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**3 - 3*n - 2. Let i(s) = -s**3. Calculate 5*i(u) - q(u).\nAnswer: -u**3 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-159.\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + 2 + 26 + -48?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = r + 2234, -2*r + 2230 = -3*r - 4*z. Let l = r + 4379. Suppose 445 = -8*k + l. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*y = -402 + 385, -2 = -2*a + 4*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6989628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1137 + 5.4.\nAnswer: -1131.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 11*r**2 + 16*r - 23. Does 4 divide g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*a**2 + 171107*a**3 + 105147*a**3 + 77*a**2.\nAnswer: 276254*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l - 314. Determine u(-55).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 59*w - 129296 = -56*w, -2*w + 161643 = 5*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 + 110*c**2\/3 + 1886*c\/3 + 3174.\nAnswer: 2*(c + 9)*(c + 23)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 714971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4595, 9133, 13671, 18209, 22747?\nAnswer: 27285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 28. Let d(p) = -2*p**2 - 24*p + 5. Let r be d(-8). Let v = r + h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*h = -5*o - 502*h - 12, -22 = o + 9*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2576 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 103213330 divided by 946\nAnswer: 109105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-13 - -6) + -2 - 33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22b7 - -5?\nAnswer: 22bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h. Let v(f) be the first derivative of f**5\/120 + 2*f**3\/3 - 3. Let g(p) be the third derivative of v(p). Calculate b(g(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -3*y + 4\/5*y**5 + 0*y**3 + 0*y**2 + 0*y**4 + 66. What is the first derivative of w(g) wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-3)*(-10)\/15. Let v be (2\/(-4))\/((-1)\/24). Suppose 0*r + 3*r = -v. Sort a, r, 5.\nAnswer: r, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((225\/(-20))\/(-15))\/((-3)\/26))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - -1*sqrt(2299)*-3)*1*-6 + 1.\nAnswer: 1 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117166, 117160, 117142, 117106, 117046, 116956, 116830, 116662?\n\"Answer: -g**3 + g + 117166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 78874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axulalllauxloa. What is prob of sequence ua?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 - 2*b - 3. Give f(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-28) - (400\/(-64) + 4). Let k(i) = -i**2 + i. Let h(z) = -36*z**2 - 3*z. Calculate n*k(r) + h(r).\nAnswer: -38*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-3))\/(2\/6). Suppose -5*m = -3*b - 18953, m - 6231 = -q*b - 2418. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f + 6. Let i be x(2). Put 3, -5, i in increasing order.\nAnswer: i, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(42\/(-27))*-2. Solve s*b = 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -15*x + 5. Suppose 5*o - 21 - 46 = 4*a, a + 3 = 0. Let s(z) = 3*z - 1. Suppose -98 + 62 - 326 = -181*j. Give j*c(n) + o*s(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - k - 43233 + 2*k**4 + 3*k + 43228 - 3*k**4 - 186*k**3 as i*k**3 + o*k**2 + t*k + q*k**4 + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by -6\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q - 9. Let d be w(-2). Let l = d + 82. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13082 - -13075. Let n be (-3 + 2 - -2)*1. What is the fourth biggest value in 4, n, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 23*r - 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11977*j**3 + 90*j**2 - 60778*j wrt j?\nAnswer: 71862*j + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644443669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-2\/17)*t*t*t*t*(t*(t\/(t*t\/(t\/(t*t**(-1\/13)*t*t))))\/t)\/t*t*t**(1\/2)*t*(t*t**(-7))\/t assuming t is positive.\nAnswer: t**(-1565\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1268, -1781, -4830?\n\"Answer: -3049*h + 4317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 9*u - 18.\nAnswer: -(u - 6)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 828.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 147. Suppose p - 295 = -2*m. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 12. Let y be f(-7). Let i(b) = 7*b + 47. Let m be i(y). Suppose o - m + 5 = 0. What is the greatest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-50)\/52) + (-4)\/20. Do 0.1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o + 33*o = 3*a - 35, a - 2*o = -5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15241332 by -12.\nAnswer: -1270111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -114, 13422 in descending order.\nAnswer: 13422, -2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 538, 537, 536?\n\"Answer: -m + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 43.99. What is y rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(612) + sqrt(612) + 1 + sqrt(612))*1 + sqrt(612))**2 + 1*sqrt(119)\/(sqrt(7) - sqrt(14)\/sqrt(2)*-6).\nAnswer: 337*sqrt(17)\/7 + 9790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20 + 0)\/(-4)*-2. Find the second derivative of j*n**3 - 8*n**3 + 2*n + 2*n**3 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:44 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842305733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -40. Let b = -7 - h. Differentiate 7*p - 3 - 9*p - b*p + 6 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*r - r. Let p = 0.65 - 0.55. Put 27, p, -6\/11, r in ascending order.\nAnswer: r, -6\/11, p, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1287 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -362073, -724188, -1086303, -1448418, -1810533?\n\"Answer: -362115*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272778 divided by 2.\nAnswer: -136389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -176*c - 4 + 63*c + 6. Let y be l(-5). Suppose 0 = -3*s + 2*r + y, -6*r + 3*r - 373 = -2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 503557, 1005404, 1507251?\n\"Answer: 501847*b + 1710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 140 = -7. Let b be ((-2)\/42)\/(h\/(-84)). Factor 2\/7*m**5 + 8\/7*m**3 - 8\/7*m**4 + b*m**2 + 4\/7 - 10\/7*m.\nAnswer: 2*(m - 2)*(m - 1)**3*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/((-20)\/(-8)))\/11. Let n = -3.7 - 1.3. Let g = -3 - -3.3. What is the third biggest value in w, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 divided by 1165?\nAnswer: -571\/1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 - ((-406)\/(-98) - 14). Which is bigger: a or -11.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -1.5. Suppose 5*y = 15, -20*s + y = -18*s + 3. Which is the smallest value? (a) f (b) -0.05 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-60))\/((-9)\/(-529170)). Let k = g - 15663\/2. Find the common denominator of (2 - 83\/(-4))\/3 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 770\/975 + (-2)\/(-8). Let a = c - 18683\/2340. What is the common denominator of a and 0 - 2\/(48\/(-286))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.12398 rounded to three dps?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 8 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275237.61us in minutes?\nAnswer: 0.0045872935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + (-4 - -6))*-2. Let x = 44 + o. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/45)\/(10\/6). Factor s*f**2 + 1\/3*f**3 + 0*f + 0.\nAnswer: f**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 + 4 = 0. Let h be (-2*s\/(-4))\/1. What is the third derivative of 5*z**2 - h*z**2 - 3*z**3 + z - z wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:41 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 73. Suppose 0*k + 12 = -2*k. Let i(b) = -b**2 - 10*b - 2. Let a be i(k). Calculate the greatest common factor of a and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 + 7*k - 8. Does 9 divide h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -26. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -16.1. Let g = -10 - -10.07. Let m = g - -0.03. Which is the closest to m? (a) 2\/13 (b) t (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 28) + 1 + 17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -11 - 11. Sort y, 4, -4 in ascending order.\nAnswer: -4, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 484, 715?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 2}. Give prob of picking 2 c and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/40)\/(5661\/(-15725))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1199921 and -83\/65480?\nAnswer: 47996840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -806, -573, 74, 1345, 3450, 6599?\n\"Answer: 35*g**3 - 3*g**2 - 3*g - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z. Let l(i) = -2*i + 6 + 3*i + 2*i. Let g = -3504 + 3498. Let v(h) = -2*h - 5. Let b(a) = g*v(a) - 5*l(a). Give b(j(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + -2) + sqrt(17) + (sqrt(170)*1)\/sqrt(10) + sqrt(17))**2.\nAnswer: -216*sqrt(17) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-6) - -1 - 221\/(-78). Let b(z) be the first derivative of -d*z**2 + 4\/9*z + 2\/27*z**3 + 1. Factor b(x).\nAnswer: 2*(x - 2)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 11*d = 5660. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8821 is divided by 438?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sum 1.3 and 1443281.026.\nAnswer: 1443282.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 174*f**2 + 3525*f + 903. What is b(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/14)\/1 - (-4)\/(-28). Suppose 7*o = -i*o - 301. Let q = o - -2238. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0*x**3 + 0 + 3\/20*x**5 - 1\/4*x**4 - 3*x + 0*x**2. Find the third derivative of h(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50561599 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -196, -693, -1674, -3301?\n\"Answer: -27*v**3 + v**2 + 11*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -102063 divided by -41\nAnswer: 102063\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -57*d**5 - 5*d**2 + 5*d - 5. Let r(k) = 85*k**5 + 8*k**2 - 7*k + 8. Let j(f) = -8*q(f) - 5*r(f). What is the second derivative of j(w) wrt w?\nAnswer: 620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*r**3 - 9*o**3*r*w - o**3*w + 2*o*r**3 + 14*r**3 - 3*r**2*w - 2*r*w wrt o.\nAnswer: -12*o*r**3 - 54*o*r*w - 6*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)*h\/h**(-7)*h*(h\/h**0)**(-29))\/((((h**11*h)\/h)\/h)\/h*h**3\/h*h)**(11\/8) assuming h is positive.\nAnswer: h**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24376.15 micrograms to nanograms.\nAnswer: 24376150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 43*m = 40*m - 24, 2*o - 7*m + 40 = -12*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -0.4, 10\/9, 45?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 14?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -6, 5, -113, -51.\nAnswer: -113, -51, -6, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 6484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13634309*p**6 + p**2 - 384*p - 484 wrt p.\nAnswer: -1636117080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6846*p = 6864*p + 90 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-3)\/(-3) - -8. Suppose -w - 2*z - 25 = 0, -b*w - 2*z = -w + 100. Calculate the common denominator of w and 10\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 10. Suppose v = h - s + 6*s, 2*s - 7 = -h. Let f be (0 - h) + -32*1. Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 + 4)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -49*c**3 + 3*c**2 - 2*c - 1. Let w be s(2). Let d = 585 + w. Let j be (d\/(-24))\/(28\/12). Is j at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01460603 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100303*a**3 + 5*a**2 + 978*a.\nAnswer: 601818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*p - 3*z, 0*z = -2*p - 4*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -502.\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 - 5*j + 6. Let i be w(4). Suppose 0 = -m - k + 4 + i, k + 4 = m. What is the highest common factor of m and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477024 and 1248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2004*f*s**4 + f*s**3 + 96*f*s**2 - f - 76*s**4 - 2*s**3 - 166 wrt s?\nAnswer: -48096*f*s + 6*f - 1824*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -128 (b) -4 (c) 2 (d) -8\/7 (e) -1 (f) -0.11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 1350.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a. Let p(y) = -55*y**2. What is c(p(j))?\nAnswer: 275*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*k + 59 = 0, -2*x = 5*k - 50 - 64. Which is the nearest to -1\/3? (a) x (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5 - 12*t + 4 + t**3 - 4 + 3 + 2*t. Calculate r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*b + 5876, -4*m + 27264 = -5*b + 3767. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 6:50 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*k + 6, t - 12 - 16 = -5*k. Suppose 5*n = -3*a + 39 + 45, 0 = -n - t*a + 24. Solve 2*f + 3*f - n = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92711\/42 - -6632\/3. Find the common denominator of 33\/388 and c.\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h + 3. Let w(d) be the second derivative of -d**2\/2 + 570*d. Determine -t(r) + 2*w(r).\nAnswer: 7*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10*-3\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -668, -2638, -5918, -10508, -16408, -23618, -32138?\n\"Answer: -655*l**2 - 5*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(245) + (sqrt(245) + (sqrt(245) - (-2*sqrt(245)*-1 - sqrt(245))))**2 + sqrt(245) + (sqrt(245) - (3*(sqrt(245) + 0 + sqrt(245)))**2).\nAnswer: -8579 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -195.12 and 753?\nAnswer: -146925.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/6)\/p*p)\/(p\/p**(-5)))\/(p*p\/p**(7\/3)*p*p\/(p*p\/p**(4\/5))) assuming p is positive.\nAnswer: p**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a - 21. What is the remainder when 20 is divided by b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 2, -1, -16 in decreasing order.\nAnswer: 11, 3, 2, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 - 4*z**3 + 21*z**2 = 0?\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-18)*(-330)\/55*3\/14.\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 21.1. Let q = 0.2 - u. What is the nearest to q in -2\/11, -5, 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 5*u + 41. Let k(m) = m + 1. Give -5*k(p) - n(p).\nAnswer: -5*p**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34300*c - 17353.\nAnswer: 34300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k = 4*w - 47, k - 11 = -2*w. Let p(t) = 3*t**2 - 41*t - 11. Let j be p(14). Solve j*r = 2*r - w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10561 - -578. What are the prime factors of h?\nAnswer: 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17159 = -790*b - 2939 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is -3028980 >= -3028979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + 632623?\nAnswer: 632592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 4485 = -11525. Suppose -4*r - r + 85 = 0. Suppose -r*o + 12*o = -w. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -13 + 1*-1. Let c be (2\/(-16))\/((-3)\/w). Put 4, c, 5 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 - 23*r + 6*r**4 - r**4)*(r + r - 5*r).\nAnswer: -6*r**5 + 69*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*c = -21, -4*b + 3*c - 24 = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79852202 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/((-20)\/(-30)*3\/(-60))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 222266208\/1722368 - 3\/64\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9348 and 5028691?\nAnswer: 1146541548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37690 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022 - 200212120?\nAnswer: -200100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-8))\/((-4)\/(-134864)). Suppose -9*d + 34040 = -l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 15*g**2 + 9*g - 52. Let m be v(11). Suppose -x - 2*t - 1190 = -5*x, -t = -3*x + m. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t*(t*t**(-3)*t)\/t)*t))**(2\/15)*(t*t*t**4)**(-47) assuming t is positive.\nAnswer: t**(-4234\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4\/5 - 2056*p**3\/5 + 46296*p**2\/5 + 20160*p = 0.\nAnswer: -1050, -2, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 467096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 10*y**5 - y**4\/6 - 2*y**3 - y + 233. What is the third derivative of x(o) wrt o?\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7256*d**2*k**2 + 7198*d*k**2 - d*k - d wrt d.\nAnswer: -14512*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y**3 + 10*y**3 + 14*y**3 + y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 1226580?\nAnswer: 4906320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 42\/5*x - 3\/5*x**2.\nAnswer: -3*x*(x + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)\/(4\/8). What is the units digit of 4 + 0 - (b - 17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.975 + -7.89. What is s rounded to 2 decimal places?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53950 times -1244?\nAnswer: 67113800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 396, 12, -5 in decreasing order.\nAnswer: 396, 12, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p - 24 = 0. Suppose 10*x + 124 = p*x + 2*t, 2*t - 242 = -4*x. What are the prime factors of x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188*h**2 + 51*h**2 + 202 - 103 - 99.\nAnswer: 1239*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 7*o**2\/2 + 37*o + 27. Let k be l(-6). What is the closest to -1\/9 in 0.5, 1\/3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, 125, 76, -11, -148, -347?\n\"Answer: -2*k**3 - k**2 - 6*k + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 1:09 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369313295.\nAnswer: 3, 5, 7, 1129, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2591.0003879 - 2591. What is p rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 341*p - 342*p = -146, 2*u - 4*p - 268 = 0. Which is bigger: u or 132?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -9. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31158 divided by 4944?\nAnswer: 5193\/824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -6184816?\nAnswer: 27\/1546204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3 + 3 + 6*b - 2*b - 4. Suppose 3*r - 5*j = 73, 2*r - 38 - 14 = 5*j. What is the remainder when r is divided by k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -71 - 427*a - 85 + 1105*a + 5*a**2 - 524 - 3*a**2 = 0?\nAnswer: -340, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30278422 or -30278420?\nAnswer: -30278422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/8 - -6)*-1 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-22) - 510\/4488 - 171\/(-228)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*v + 100*v = -24 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 3019. What are the prime factors of u(108)?\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -423 + 422.9993875. What is x rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*c - 0*k + 3*k, 3*k + 166 = 5*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 741719673.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgonqqfofbbobfbbfq. Give prob of sequence nf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 smaller than -285733\/10853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 8*d**2 - 6*d + 10. Let q be b(4). Let a = 209 + q. List the prime factors of a.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/4, -19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + u - 1, f + 0*u - 1 = -u. Let p = 5 + -9. Let b be (-1 - 2) + 0\/(-2). Sort b, f, p in ascending order.\nAnswer: p, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7 - 15) + -10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(76) + (3*sqrt(76))**2 + 4 + sqrt(19) + (sqrt(475)*1)**2 + (sqrt(57)\/sqrt(3))**2*-4 + 0.\nAnswer: 3*sqrt(19) + 1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v + 1\/2*v**3 + 0*v**4 + 0*v**2 - 1\/8*v**5.\nAnswer: -v**3*(v - 2)*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000152029953 rounded to 7 dps?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 163013767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g*h*y**3 + 170*g*h*y - 6*h*y**3 - h - 24*y**3 wrt g?\nAnswer: 2*h*y**3 + 170*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33304.6 minus 2?\nAnswer: 33302.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 3, 5, -18 in decreasing order.\nAnswer: 33, 5, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 47 = -8*a + 3*l, 4*a - 4*l = 36. Let q = a - 8. Suppose -3*f + 36 = q*u, 0 = 4*u + 16 - 4. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -3, -13, -1\/7, -0.6 in descending order.\nAnswer: 2, -1\/7, -0.2, -0.6, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*i + 24 + 34, -i = 2. Solve 44*d = b*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458049726 to the power of 1\/2, to the nearest integer?\nAnswer: 21402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose x = a - 18 - 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3512344 rounded to the nearest 10000?\nAnswer: -3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39735 divided by 9.\nAnswer: 4415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109497*l - 125123?\nAnswer: -109497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from ddggggdggdgd.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*g**4 - 7500219*g**3 - 275*g**2 + 147875*g wrt g?\nAnswer: 1632*g - 45001314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 9) to base 7.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121134 (base 5) in base 7?\nAnswer: -112542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 577631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g)\/g*g*(g\/(g*g*g\/(g*g\/(g\/g**(-2\/9))*g)*g))\/g)**15 assuming g is positive.\nAnswer: g**(-145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 + 7. Suppose -2*x = -x - 4. Suppose x*a = -18 - 6. Give f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480339.\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-25) + 3\/(-5). Let x = r - 0. Is x less than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353 is divided by 212?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.048 (b) 3 (c) -10.6 (d) 5 (e) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + (6*(sqrt(95) + -1*sqrt(95)*3))\/(sqrt(720) - 2*1*sqrt(720)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1541 - -13281. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17602378 and 8?\nAnswer: 70409512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -7. What is the fourth smallest value in 5, 0.01, s, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(5 - 0) + (-56)\/(-20). Suppose d - 649 = 2*g, -4*g + v*d - 1295 = -2*d. Let p = 456 + g. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71301*k**3 + 2*k + 53 wrt k.\nAnswer: 427806*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 169 + 14 - s**2.\nAnswer: -s**2 + 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5864085 and 3624.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 938.8572ns in microseconds?\nAnswer: 0.9388572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*q - 10 = 5*q, 0 = i - q - 2. Suppose -i*f - 5 = 3*f. Is f\/(-2) - (-101)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 + -287. Suppose 0*g**3 - 4\/9*g**2 + 2\/9*g**5 + w + 4\/9*g**4 - 2\/9*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*h + 7705 = 0, 5125 = 126*i - 124*i + h. Calculate the highest common divisor of i and 2432.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 65, -656, -4, -1?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, o: 4, h: 1, y: 1, q: 5}. What is prob of picking 1 o and 1 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-18) + 1 + -173 + 7689888\/44064\nAnswer: 22\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10137 (base 12) in base 10?\nAnswer: -20923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.10837 and 4?\nAnswer: -0.43348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39746555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*(-968)\/(-4356)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in 11, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**6\/q)\/q)*q*q)\/(q*q\/(q\/((q\/(q**7\/q))\/q*q*q*q))))\/(q\/q**1*q)**47)**(-25) assuming q is positive.\nAnswer: q**1150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + h)*(h - h + h) + 0*h**2 - h**2 + 2*h**2 + (8 - 11 - 1)*(2*h**2 - 3*h**2 + 3*h**2).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17908*l - 4494936. Determine x(-251).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*y - 9 = 0, 2*r - 3*y + 11 = 2. Let n be r\/2 - (-2 + -58). Suppose 4*s + s = -l - 10, 5*l = -3*s + n. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2814920864.\nAnswer: 2, 7, 3023, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + n = 7079, 57*d + 5*n = 61*d - 9464. Suppose -29*b + 15614 = d. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l - 32. Let m be p(-4). Suppose m = -5*g - 2*d + 65, 4*g - 3*g - 31 = -4*d. Suppose -767 - 498 = -g*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8685*x**3 + 8729*x**3 + 42258*x**2 + 0 - 1 - 42258*x**2.\nAnswer: 44*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 99 + -81 + 5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*z - 30, -3*t - 2*z + z + 43 = 0. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -109300, -109501, -109702, -109903?\n\"Answer: -201*b - 109099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 9. Let n(z) = -4*z**3 - 17*z**2 + 15. Let q(l) = -2*l**3 - 9*l**2 + 8. Let d(h) = p*q(h) + 6*n(h). Let a be d(-2). Solve -v = 2*v - a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 75 - s**5 - 1\/3*s**3 + 1\/4*s**4 + 0*s**2 + 21*s. Find the third derivative of n(t) wrt t.\nAnswer: -120*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9612)\/(-18))\/(-1) - (1 - -5)\/(-2). Which is the closest to m? (a) 0.2 (b) -4 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5617435 or 0.4?\nAnswer: -5617435","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/5)\/((-1)\/5). Let o be ((-10)\/(-20))\/(10\/960). What is the greatest common divisor of o and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let f = s + -8. Let n be f\/27 - (-40)\/99. Is -1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + w - 5 = -3, -5*w = -3*r - 34 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -7*r**5\/6 - 7*r**2. Let l(o) = -o. Determine l(j(g)).\nAnswer: 70*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2 - 7*m + 273 wrt m?\nAnswer: -4*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-13 + (28 - 62))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6333, 12784, 19773, 27570, 36445?\n\"Answer: 45*k**3 - k**2 + 6139*k + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkffmmmmfuuhuhumfuf. Give prob of sequence mfh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2780 and 160.\nAnswer: 22240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)*-2)\/(sqrt(704)*4) + 2.\nAnswer: -5*sqrt(3)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 42 = 2*b + 2, 4*o + 9 = -3*b. Do -5 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 - o - 28. Let m be w(-6). Let u = m + 720. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -984*j**2 - 89*j. Let m(g) = -g + 11. Give q(m(i)).\nAnswer: -984*i**2 + 21737*i - 120043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-147 + 146 - (1 + -8)) + -22\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-931))\/((-2544)\/(-1007))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263431208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1234411 and 23\/129938?\nAnswer: 2468822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 64 - 7*o**3 - 3*o**2.\nAnswer: -7*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1383*g*h**2 + 12256*g*h + 4681*h**2 + 12131 wrt g?\nAnswer: 1383*h**2 + 12256*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.06 and -76681\/201 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 2, -1, -1\/2, -641?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -z - 10, 29*w = 34*w - 2*z - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.16942 kilometers to meters.\nAnswer: 64169.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + -26b4?\nAnswer: -2680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*d - 214, 4*x - 2*d - 205 = 3*d. Suppose 0 = 3*y - 5 - x. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -271.\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4290360656.\nAnswer: 2, 139, 1929119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:01 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4249936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364071900 rounded to the nearest 1000000?\nAnswer: 4364000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 7*u**2 - 9*u - 15. Let p be l(-6). Factor -4*f**4 - 11*f**5 - 3*f**4 - 22*f**2 + 10*f**5 - 24*f**p - 3*f**4 - 7*f.\nAnswer: -f*(f + 1)**3*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 1*sqrt(98)*-3.\nAnswer: -21*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2125 - 1015. Is ((-1)\/((-2)\/c))\/2 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 4:43 AM and 12:29 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 10. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + u = 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7119\/3775?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*a. Suppose -2*f + 8 = -a*f. What is the second derivative of v - 2*v**f + 0*v**3 + 0*v**3 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**3 + 56*d**2 + 7*d + 15. Let l(n) = -2*n**3 - 18*n**2 - 2*n - 5. What is 7*l(m) + 2*t(m)?\nAnswer: -2*m**3 - 14*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 883163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537174 is divided by 8167?\nAnswer: 6319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -d + 4, -4*h + d + 13 = 17. Solve -3*t + 4*u = 2, 3*t + h*t + 5 = u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = 45*g - 227695. Is 31 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by 2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2.6, -0.05, 17, -0.146, 2, -5?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 j when four letters picked without replacement from rjjjjjjr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, v: 1, k: 4, r: 1}. Give prob of sequence kk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825321 to the power of 1\/2, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7 + 59706\/4494?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8355, -11623, -14895, -18171?\nAnswer: -21451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/483, -0.9, -18 in ascending order.\nAnswer: -18, -0.9, 2\/483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 10}. What is prob of sequence yoo?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (51\/850)\/((-51)\/(-5100))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**4\/4 - 40*t**3 + 127*t**2 + 7*t + 1. Let x(y) = -y**2 - 60*y + 64. Let f(l) = 6*p(l) - 22*x(l). Factor f(s).\nAnswer: 4*(s - 29)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 22 = 5*x, x = 4*x - 3*f - 6. Solve 5*q + 15 = -b, -3*b = -x*b + 3*q + 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to 4120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 320301304 (base 5) in base 16?\nAnswer: 146968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**3 - 13035*u**2 - 26055*u - 13025 = 0.\nAnswer: -2605, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvzj when four letters picked without replacement from vvvhvjazhjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1263 (base 15) to base 16\nAnswer: f4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119782 is divided by 218?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.42 - 15.42. Let d = -0.08 - -5.08. Which is the closest to d? (a) -3 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:48 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 53*b - 209. Let t be w(4). Solve 10*v - 7*v - 9 = -t*o, 0 = 5*o - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2000, 2207, 2414, 2621?\nAnswer: 2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12477, 12486, 12497, 12510, 12525?\n\"Answer: j**2 + 6*j + 12470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 + 193329*t**2 + 3097495080*t - 554330069100 = 0?\nAnswer: -32310, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57732960 + 3*l**2 + 28866475 + 28866508.\nAnswer: 3*l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 735, 758, 797, 858, 947, 1070, 1233?\n\"Answer: o**3 + 2*o**2 + 10*o + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 162 + -2 + -3 + 1. Let q be (-8)\/k*(-28)\/8. Which is the nearest to -0.2? (a) 2\/15 (b) q (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(((-40)\/15)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-839*y + 82*y**3 - 178*y**3 + 95*y**3)*(-2*y - 1 + 1) in the form z + n*y + d*y**3 + i*y**4 + j*y**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -24. Suppose f - 4*o = 9, 2*f - 7*f - x = -3*o. Let v = -8 - f. Is -3 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40433151.58 - -40799941. Let d = -366778.4199972 + t. Let m = -11 + d. Round m to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.1 (c) 1\/6 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**3 + 2*q**2 - 2*q - 2. Let g be -7 - 4*(-8)\/16. Let s(y) = 5*y**2 - 6*y**3 - 7*y**3 - 5 + 0*y**3 - 5*y. Calculate g*w(f) + 2*s(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 432. Let y(q) = -q**2 - 144. Determine -6*u(l) + 17*y(l).\nAnswer: l**2 + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 + 4. Suppose -p - 4*o = 18, 17 = -2*p + 3*p - 3*o. Suppose 5*n - p*k = -16, 5*n - 2*k = -k - 18. Calculate g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-43)\/(-2) + (-2)\/(-6)*5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66404 divided by 6.\nAnswer: -33202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1991130 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 22 - 33 - (4 - 8 - 42).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231650889?\nAnswer: 3, 3019, 25577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0 - 9. Let c be ((-6)\/(-4))\/(y\/(-16)). Let o = c - 1. Calculate the highest common divisor of o and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31788438572749 + 31788521803351.6999882. Let l = 83230588 - w. Let s = l + 14.7. Round s to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/5 - 274*k**3 - 2174*k**2 - 5150*k - 16248\/5 = 0.\nAnswer: -677, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 - 4\/18. Let v be (5\/20)\/((-3)\/(-4)). Let y = 0.7 + 0.3. What is the nearest to v in o, 2, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**2 + 5*u - 22. Let c(r) = r**3 + 14*r**2 - 10*r + 43. Let h(x) = 4*c(x) + 7*l(x). What is the tens digit of h(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -167, -280, -197, 190, 989?\n\"Answer: 18*u**3 - 10*u**2 - 209*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3349*a + 429595 - 238702 = 0 for a.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 3060*v**2 - 9145*v - 6090.\nAnswer: -5*(v + 1)*(v + 2)*(v + 609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289607829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -5*u + 35. Is u greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 + 2*q**2 - 5\/3*q**3 + 1\/3*q**4 + 4\/3*q.\nAnswer: (q - 2)**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 8:20 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2328*m - 36 = -2326*m, 3*m = -3*i - 0*m + 27 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 3\/2*j**3 + 15*j + 0*j**2 + 0 + j**4 + 3\/20*j**5. Factor q(b).\nAnswer: 3*b*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 0*m + 3*m + 0*m - m + 2*m + (5*m - 13*m - 8*m)*(-2 + 1 - 1).\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**4 - 2*q**2 - q - 1. Let z(y) = -11*y**4 - 22*y**3 - 13*y**2 - 181*y - 6. Let j(w) = 6*a(w) - z(w). What is the third derivative of j(i) wrt i?\nAnswer: -24*i + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w - 1 + 0)*(-52 + 52 + 21*w**2 - w**2 - w**2 + w**2 + (-4*w + w + 5*w)*(w - w - 2*w) + 1 - 1 - 2*w**2 + 0*w**2 + 0*w**2 + w**2 + 2*w**2 - w + w).\nAnswer: 17*w**3 + 34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*x - 1 + 19*x**3 - 152*x as p*x**2 + c*x**3 + s + z*x and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1201, 2403, 3605?\n\"Answer: 1202*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(15\/90). Suppose 6 = 2*w + 5*z, -4*w - q*z + 0*z = 2. Let t be 3\/w - (-221)\/130. Put -3\/4, 2, t in ascending order.\nAnswer: -3\/4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = -4*q - 18*s - 35, s + 6*s = -q + 10*s + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 573870041?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.8 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*p = -n + 1, 0 = 2*n + 5*p + 2. Sort n, -4, 0.3.\nAnswer: -4, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19164413 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -62. Let z be (-8)\/(-14)*m\/(-54). Let p = 9.053 + -0.053. Which is the closest to p? (a) 1\/3 (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -979 (b) -2\/13 (c) -2\/5 (d) 3\/7 (e) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/2 + 1149*r\/2 + 1737 = 0.\nAnswer: -3, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -9. Is 115 + 16\/((-4)\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -344 and 944130700484.\nAnswer: 944130700140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.089 - 81.089. Let g = f + 82. Which is the closest to 3\/4? (a) 0 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Let b(k) = -17*k**2 - 15*k - 19. Let w(g) = -b(g) - 6*z(g). Let o(f) = -8*f**2 - 7*f + 49 + 43 - 98. What is -13*o(n) - 6*w(n)?\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2567.2 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25764*4.\nAnswer: 103056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/14084 and 145\/84?\nAnswer: 42252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 5*b + 5, -2*c + 0 = -5*b - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3900 is divided by 1948.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 196181701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:57 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -20) + (-4)\/4. Let f = -10 + n. What is the units digit of ((-1)\/4 - -1)*f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/48125 and 104\/2625?\nAnswer: 144375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 147\/(-84) + (2 - 1). Let c be 15*3\/((-9)\/1). What is the second biggest value in c, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 131 + 337 = -390. What is the remainder when 1634 is divided by b?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8)*(-16)\/18. Which is the closest to 0.1? (a) p (b) -2\/19 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/14 - 4\/(-14). Let t(a) = a**3 + a**2 - a + 2. Let f be t(d). Let o = -25 - f. What is the greatest common factor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -7*q**4\/8 - 167*q**3\/2 + 5*q**2 + 506*q. What is s(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-116)\/(-12) + (-8)\/(-6). Let h = q + -5. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2348888.\nAnswer: 2, 89, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*f + 84129015, -2*u - 28043006 = 10*f - 11*f. What is f rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 p when four letters picked without replacement from nppeenene?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y + 2. Let h be d(-2). Let k(i) = i**3 + 28*i**2 - 66*i - 169. Let f be k(-30). Suppose 0 = f*c - h*c - 5453. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*y = -9*r - 1300, 3*r + 1003 = 4*y. Let v = -263 - r. Is 67 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 3, 10 in descending order.\nAnswer: 10, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luyy when four letters picked without replacement from ydelyeyddud?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16*1 - ((0 - -18) + -27)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205891195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*l + 196 = 0, -76*l + 16 = -72*l. What is the remainder when 246 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+772.206\nAnswer: 772.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b621c - -6?\nAnswer: b6222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*x + 229, 4*x = -5*t + 82 - 345. Let u = t + 50. Is 3396\/30 + 1\/u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3119 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = -24. Suppose 158*y = -7 + 43 + 122. Put 4, 3, b, y in increasing order.\nAnswer: b, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3 + 0 + 8 + 80 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y + 2*y + 1 - 4 - y. Let h be v(3). Let k be -1*-1*(0 + h). Solve d + k = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102011 + -2000?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4 + 9*d**3 + 2*d**2 - 84*d + 72 = 0?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-346*s + 674*s - 345*s)*(-1 + 4*s + 1) + 4*s**2 + 2*s**2 - 5*s**2.\nAnswer: -67*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 104.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -215081.9 rounded to the nearest 100?\nAnswer: -215100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2115*j - 193203 + 43038 = 0 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 3*r**4\/4 + 21*r**3 + 27*r**2 - 120*r + 44. Factor n(f).\nAnswer: 3*(f - 1)*(f + 2)*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from np. Give prob of sequence np.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 830 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 136. Let d = s + -90. Let g be 20\/d + 1 - -8. Solve -g + 1 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*g + 10, 234*r + 7 = g + 237*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35397 is divided by 355.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98622 and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/15441244 and 107\/15441244.\nAnswer: 15441244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -25. Suppose -5*f - m = 5*o, 0 = -f + o - 0*o + 6. What is the highest common factor of 4 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - s = -4*s + 9*i - 7, 5*s + 3 = -2*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2. What is the tens digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:24 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19064072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4 + 84*m**3 + 396*m**2 - 484*m = 0 for m.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Is 28493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(2\/9)*q**(-1) assuming q is positive.\nAnswer: q**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44421, 44320, 44051, 43530, 42673, 41396, 39615, 37246?\n\"Answer: -14*j**3 - 3*j + 44438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:16 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - 3a6?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:32 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -6, 3*x - 8 = -4*h + 3*h. Calculate the remainder when 31 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4978.3 + 4978. Which is the closest to -0.2? (a) -2\/3 (b) -1 (c) f (d) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -101746669?\nAnswer: -2\/101746669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iag when three letters picked without replacement from ggaggggggiigaagaaa?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x - 8. Let s be c(-5). Let v = -0.11 + 4.11. Let o = -6\/13 - 1\/26. What is the third smallest value in s, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9741 + -2.951353. What is q rounded to 4 decimal places?\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1410284*d + 32520. Let z(t) = 1084*t + 25. Let j(f) = 5*i(f) - 6504*z(f). Let r(m) = 3*m**2. What is r(j(n))?\nAnswer: 3525168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 21*p**2\/2 - 15*p - 61. Let n(x) = 3*x - 2. Calculate 30*n(j) - 4*z(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -61.7. Which is the second smallest value? (a) q (b) 0.5 (c) -1\/2 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**4 - 1056*q**3 - 5756*q**2 - 16802*q + 5323?\nAnswer: -48*q**2 - 6336*q - 11512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001896495 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*f - 16362 + 16375, 2*c - 2 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/51))\/r**31)\/(r**(-29\/3)*r**(-7\/5)) assuming r is positive.\nAnswer: r**(-4838\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2938.175ml?\nAnswer: 2.938175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**2. Let f(r) = 41*r. Calculate m(f(a)).\nAnswer: -16810*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:03 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 22*n**2 - 21*n + 25. Let b = -6121 + 6098. What is a(b)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 46. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**30*c*c)*c**19)\/((c**3*c)\/c)**(-5\/3) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8062 + -4898923.\nAnswer: -4890861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130875 is divided by 5451?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035158956 rounded to six dps?\nAnswer: 0.003516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2. Let q = -19 + 28. Let n be 4\/((-12)\/q) - -6. Let b(h) = -n*h**2 - 3*h**2 - h**2. Determine k(b(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isasci. Give prob of sequence iis.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(4 - -2). Suppose -b*p = -2*p. Solve p = -6*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-78 - (-20 - 34)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11000 is divided by 3641.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248035 is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n**2 + 21*n**2 + 28*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 11. Give i(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(2 + 8\/(-6)). Suppose 0 = -2*y - v + 8. Let n(z) = z + 10. Let h be n(-8). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4452.871 litres?\nAnswer: 4452871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1850.283032799 + 0.4.\nAnswer: 1850.683032799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*b**4 - 8*b**2 - 134?\nAnswer: -256*b**3 - 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 37*z - 85. Let j(v) = 109*v - 255. Let w(o) = -11*h(o) + 4*j(o). What are the prime factors of w(21)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.17919 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Let u = z + -2. What is the third derivative of -2*r**5 - r**u + 3*r**2 - r**2 wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 6\/367, 218, 0?\nAnswer: 6\/367","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 140\/21 - (-6)\/(-9). Let x be -1 - (-8)\/o - (-440)\/165. Solve 0*v + x*v = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 - 1. Suppose -4*l + 2*s - 2 - 6 = 0, 8 = -2*l + 3*s. Let t be j(l). What is the units digit of 1 - 10\/t*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6689?\nAnswer: 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 189, 2, -5, 4.\nAnswer: -5, 1, 2, 4, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*p**4 - 2 + (-3*p**2 + p**2 - 3*p**2)*(-1 + 4 - 1)*(0*p**2 - 3*p**2 + 5*p**2 - 2*p + 2*p - p**2 + (-1 - p + 1)*(p + p + 0*p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.961 - 64. Let d = c - -0.0390002. Round d to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 12*a**2 + a**2 + 351 - 351.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 80 = -3*h. Is -66\/7 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1306, -5227, -11774, -20953, -32770?\n\"Answer: -y**3 - 1307*y**2 + 7*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 11}. What is prob of sequence uff?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfub. Give prob of sequence bf.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4137448691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 43 - 16)*(17*t - 4*t - t).\nAnswer: -1044*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 64*d + 76. Let m be s(-31). Solve -o + 9 = r, 2*o + 209*r - 208*r = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 43294.6 meters?\nAnswer: 43294600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 14) + 6 - (18 - (23 - 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from ggr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -263\nAnswer: 19\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5799 - -46449\/8. What is the common denominator of d and 69\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -20*w**2 - 23*w - 8. Let b(x) = 7*x**2 + 8*x + 3. Let c(d) = -17*b(d) - 6*m(d). Give c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1179*r - 524. Let n(p) = -3*p + 2. Give b(h) + 262*n(h).\nAnswer: 393*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + b + 2 + 0*b.\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:24 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49143668*0.6.\nAnswer: 29486200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-5))\/((-2)\/40). Let k = 94 - f. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -21, 1303\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565269 by -4009.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 2*u - u - 3. Let y(j) = 4*j + 0*j - 1 - 3*j. What is -2*b(n) + 6*y(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -84, -160, -258?\n\"Answer: -11*x**2 - 21*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (8571\/(-11) - 20\/(-110)). Let y = 193 - x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -4, -27, -0.01, -0.25.\nAnswer: -27, -4, -1.5, -0.25, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepefwwwwpgppl. What is prob of picking 2 e and 1 g?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 + -1.0590098.\nAnswer: 14.9409902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78, 190, 304, 420, 538, 658?\n\"Answer: l**2 + 109*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (86\/(-6) - 18\/(-54)). What is the tens digit of (1 + 0)\/(h\/(-1130)) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 4\/(-2) - 0. Let m(h) = 3*h - 1 - 4*h + 9*h - 7*h**2. Let w(f) = f**2 - f. Let u(v) = x*m(v) - 6*w(v). Factor u(g).\nAnswer: (g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -k + 57. Calculate the highest common divisor of 24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -13. Suppose q + a = 4*q. Factor 0 + 14\/5*r**q + 6\/5*r**4 + 16\/5*r**3 + 4\/5*r.\nAnswer: 2*r*(r + 1)**2*(3*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. What is the units digit of (1 - 0) + n\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, -11\/6, -503 in ascending order.\nAnswer: -503, -11\/6, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7690 + 3090. What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j + 4 + 34*j**2 - 17*j - 16*j**2 - 8*j**2 - 7*j**2. Determine y(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - (-3 + -2))*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + b + 8. Let h be f(-5). Let o = -27 - h. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5073982 tonnes to grams.\nAnswer: 507398.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -56. Let h = 9 + t. Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1040, -3\/2, 1\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*p + 12835 wrt p?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9685 + 36.0315. Which is the nearest to m? (a) 3\/4 (b) 1 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 2. Let p(b) = 36*b**2 - 5*b + 7. Determine 3*j(z) - p(z).\nAnswer: -36*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 14. Let c be f(-10). What is the third derivative of 0*l**5 + 5*l**5 - c*l**5 + l**2 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 6655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 5*u - 226, w + 5*u - 82 = 0. Let z be (-2 - 0)*(-4)\/w. Is z >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.4 - -5. Let q = 7.4 + -11. Let d = 3.8 + q. Which is the biggest value? (a) r (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 5, -3650 in increasing order.\nAnswer: -3650, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*x - 4*r, -r + 441 = 5*x + 462 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 3*r + 2 - 11*r + 11*r to the form g*r + l + p*r**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 244878132 and -8?\nAnswer: 244878140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**4 + r**3 + r**2. Let k(n) = 6*n**4 - 3*n**3 + 1 + 0*n**2 + 2 + 5 - 3*n**2. Let t(a) = -3*d(a) - k(a). Differentiate t(c) with respect to c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -96253, -384993, -866227, -1539949, -2406153?\n\"Answer: i**3 - 96253*i**2 + 12*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -289c - -1?\nAnswer: -289b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)*(-11 + 3573\/(-117)) + 114\/(-247)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135499.2kg in grams?\nAnswer: 135499200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5216385 divided by 3?\nAnswer: -1738795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 530*z - 550*z. Let l(r) = 15*r + 11 - 4*r**2 + 3*r**2 - 3*r. Let v be l(z). What is the greatest common factor of v and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 9*c**2 - 9*c - 4. Calculate the least common multiple of 34 and d(-6).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3669815661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 + 2*g**5 + 3*g**5 + (0 + 0 + 2*g**4)*(13 - 13 + 10*g).\nAnswer: 21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1054\/6 - (-1)\/3. Does 29 divide (-11)\/33 - k\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231917264 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000146 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.4 or -9629?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4789, -19164, -43141, -76720, -119901, -172684?\n\"Answer: -4801*q**2 + 28*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3 - 5 + 3190*u - 3185*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1732067, 1732427, 1732787?\n\"Answer: 360*b + 1731707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779366522 to the power of 1\/2, to the nearest integer?\nAnswer: 52720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 12*n**2 - 11*n - 6. Let y be f(11). Does 10 divide (7 + y)*10\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -119\/4, -2, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.05, -99?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212.9 - 212. What is the closest to 0.02 in -2, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 0.03775.\nAnswer: 0.0003775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:47 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 27\nAnswer: 68\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10.5. Suppose -3*s + 6 = -w, -4*s - 5 = 4*w - w. Which is the closest to s? (a) 0.3 (b) -1.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -43\/2280, -8, -1\/21.\nAnswer: -8, -1\/21, -43\/2280, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-11\/6)*p)\/p**24)**(-4) assuming p is positive.\nAnswer: p**(242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 0.1, -5, 2, 16\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (4 + 3 + 23 + -1)) + 2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/100026 and -133\/33342.\nAnswer: 100026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*r + 58 = 0, -3*r - 30 = -2*m - 0*m. What is the remainder when 106\/3 - 1\/3 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*y + 28*y + 25*y)*(5 - 5 + 4*y) to s + o*y + a*y**2 and give a.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 7*c + 10. Let s(b) = -5*b**2 + 5*b - 7. Let a be 11\/44*-21 - (-1)\/4. Suppose -30*h = -h + 203. Determine a*k(f) + h*s(f).\nAnswer: -5*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2*s + 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - 353 + 353.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 481.9176 from 0.2.\nAnswer: -481.7176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -230, -206, -160, -86, 22, 170, 364?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(2205\/10))\/(12\/(-42)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - u + 0 - 11 + 10. Let d(z) = -1 - z + 3 - 1 + 4. What is -d(f) - 5*k(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a - 30. Let v = -7853 + 7845. Give m(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. What are the prime factors of 36\/5 + r\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107858414 is divided by 17285.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v + 1. Let u be l(-1). Let g be 4\/u - (-64)\/28. Which is the closest to 2\/3? (a) -2\/19 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*t**2 + 2348*t**2 - 2430*t**2.\nAnswer: 76*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 6*v - 51.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61458 - -116973. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 112*h = 19*h + 1819 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 - 55 = 0. Let s be ((-240)\/36)\/((-4)\/i). Let g = s - -112. What is g rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*x = 41, z - 14*x = -11*x + 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 422424321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(63)*-1*6 - sqrt(63)) + (sqrt(42)\/(sqrt(6) + sqrt(6)*1) - (sqrt(847) - (sqrt(847) - sqrt(847)*-1))))**2.\nAnswer: 2547\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s - 64 + 34 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7430 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-11*g**4 + 16*g**4 + 17*g**4).\nAnswer: 44*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3233 + 193993\/60. Are r and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:39 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 42*m**2 + 4*m + 14. Let w(f) = -2*f + 33. Let n be w(6). What is the units digit of q(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121498 is divided by 12146.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/3 - 56*t**4\/3 + 566*t**3\/3 - 2320*t**2\/3 + 2176*t\/3 + 5120\/3 = 0.\nAnswer: -1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.73 + -21. Let s = v - 0.25. What is s rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119650921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 11 - 10. Suppose 3*w - u = i, -2*w + 6*w + u = 11. Suppose 11 + 3 = 2*c. Solve -c = -v - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4522, 1812, -824, -3386, -5874?\n\"Answer: 37*y**2 - 2821*y + 7306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*i - p, -5*i + i + 3*p + 2 = 0. Factor -6*b**i - 9*b**3 - 3*b - b**2 + 8*b**2 + 8*b**2 + 3*b**4.\nAnswer: 3*b*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 263278801 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790778326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 951*p**2 - 5*p + 685*p**2 + 0*p + 867*p**2. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1048413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - d - 16 = 0, -k - 57231 = d - 57218 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-5)\/u)*u*u**(-4\/3)*u*u**(3\/11)*u*u**1)**(-12\/19) assuming u is positive.\nAnswer: u**(-1312\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 6*a + 39*a - 15*a - 19*a - 11*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2765690506 to the nearest integer?\nAnswer: 52590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255466160 to the nearest integer?\nAnswer: 15983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q**3 + 9*q**2 - 5*q. Let w(u) = -8*u**3 - 8*u**2 + 4*u. Determine 5*a(j) + 6*w(j).\nAnswer: 2*j**3 - 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*(sqrt(13)*2 - sqrt(13)))**2 + sqrt(13)*1 + -5).\nAnswer: 5*sqrt(13) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -99 (c) -19.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 38 = 2*p, 5*p - 9 + 80 = 2*s. Let l = p - -24. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24889795225*v**2\/6 + 1893180*v + 216 = 0 for v.\nAnswer: -36\/157765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 - 4) + -1)*-1. Let g be (28\/(-21))\/(t\/(-72)). Suppose x = -x + g. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13841.075 rounded to the nearest ten?\nAnswer: 13840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2484 and 919?\nAnswer: -2282796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/19)\/(-1*(-4)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, 4, -3 in decreasing order.\nAnswer: 12, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * 13615666.\nAnswer: 490163976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11658325*t**4 - 55722336*t**2?\nAnswer: 279799800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-6 - -10 - -17) + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(42619\/(-46))\/(-109)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/55? (a) 7 (b) -294 (c) 277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-571343)\/(-5) - (-148)\/370 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + n)*(-2 + 4 - 1)*(31 - 4 - 4).\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from uearednr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 10088?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -26. Let i be (-714)\/v - (-1)\/(-5). Suppose i*a = 2*a + 648. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*((-60)\/(-432))\/((-20)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-2) - (11187\/996)\/((-69)\/(-92)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -485243*k**3 + 425152*k**2.\nAnswer: -2911458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0 + -8)\/(8 - 7). Let u be ((-2)\/q)\/(3\/27). Find the second derivative of -u*m**2 + 4*m**2 + 6*m**2 - 6*m**2 - 6*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 + -203. What is the biggest value in 5\/6, -0.05, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 84877562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l**(-5))**(-38)\/((l**(1\/3))**33\/(l**(4\/5)*l\/(l*l**6))) assuming l is positive.\nAnswer: l**(299\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 - -167. Suppose 4*i - r - 383 - 909 = 0, u*i = 4*r + 982. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p + 2. Let o be t(2). Let n = o + -2. What is the remainder when 10 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 24*w + 4*w = -24*w + 2704 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 4*c)*(2*c + 0*c - c + (33*c + 6*c - 8*c)*(18 + 20 - 42) + c - c + 2*c).\nAnswer: -363*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 321593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 20?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196613114?\nAnswer: 2, 43, 2286199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 4*d + 0*d)*(1 - 1 - 2*d + (-4*d - 2*d + 4*d)*(0 + 4 - 2) - 21*d + 11*d - 32*d + d + 4*d - 4*d) as q + a*d + w*d**2 and give w.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6013 times -0.21?\nAnswer: -1262.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - (-30)\/(-7). Let u = 0 - t. Suppose -k + u*k = 0. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.27 (b) 14 (c) -4 (d) 122 (e) -0.3 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and 0.3?\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11581 (base 12) to base 2.\nAnswer: -101101011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g - 6*g + 3*g)*(-2 + 2 - 4) + 0*g + 2*g + g)*(29*g**3 + 5*g**3 - 26*g**3).\nAnswer: 56*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/4, -3, 3, 60?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5)\/(6820\/62434 + (-3)\/57)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41820 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)\/k)\/k*k**20 assuming k is positive.\nAnswer: k**(164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n - 6. Let u(v) = -v**2 + 5. Let c(z) = 4*g(z) + 5*u(z). Let s be c(-3). Solve -s*x = x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -268*f + 26. Suppose -22 = -218*p + 229*p. Is i(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 41 = 4*y, 15 = -5*h + 4*y + 148. Let n = -26 + h. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -407, -134.9, 1\/5, -3, 2\/17 in decreasing order.\nAnswer: 1\/5, 2\/17, -3, -134.9, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-74)\/(-42)*268)\/1. Let s = d + -472. Let h = s + -1\/3. Are h and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -801, -0.5, 10, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7 + 0*v + 4 + v + 2*v**2 - 2*v. Let g be -1*4\/2 + -1. Let c(z) = 7 + 2 - 5*z**2 - 2 + 2*z. What is g*c(h) - 7*i(h)?\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-6)\/u)\/u)*u*u*u\/(u\/(u*u**(1\/4)\/u)))**(-45) assuming u is positive.\nAnswer: u**(-1845\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 616, 2019, 4752, 9259, 15984, 25371?\n\"Answer: 74*g**3 - g**2 + 2*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 - -2. Let g = 3.89 - -0.11. What is the closest to -0.2 in g, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = f + 4, 11*j - 10 = -5*f + 16*j. Suppose 3*b + 10 = 1. Put f, b, 2, 5 in increasing order.\nAnswer: b, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 1\/28, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -3.363004.\nAnswer: 3.363004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8 or 20.67?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)\/z)\/(z*z*z\/(z\/(z*z*(z\/((z\/(z**(-1)\/z))\/z))\/z))*z)*(z**(-1\/2)*z)**(-3) assuming z is positive.\nAnswer: z**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/9)\/4)\/(325\/(-30))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {f: 1, d: 1, i: 4, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 126*a - 117480. What is the greatest common factor of 190 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.037 - 91.913. Let k = 92 + f. Let y = 1 - 2. What is the smallest value in k, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 7 - (8 + -4 + -25)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + (-1 - -10) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 0*m = 5*w + 54 - 24, 2*m = 4*w + 36 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 50*m + 30. Let h be c(15). Is (2\/(-3))\/(0 - 8\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1533*p + 24990 - 48938 - 21584 - 40316 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let w(v) = -v**3 - 6*v**2 + 7*v + 4. Let n(g) = 4*g + 29 - 65 + 37 - 3*g. Let x(t) = s*n(t) + w(t). Calculate x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(4) - ((2*sqrt(80))**2 + sqrt(80)).\nAnswer: -320 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032, -1031, -1030, -1029?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3470 is divided by 151.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akk. What is prob of sequence kk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -2, -6.\nAnswer: -8, -6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 3*f + 2. Let w be g(4). Let z(c) = 4*c + 4 - w*c**3 + c + 4*c**2 + 5*c**3. What is the units digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233368, 233379, 233398, 233425, 233460, 233503?\nAnswer: 233554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -84*c - 1222. What is u(-15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 6 = 2*x, -6*l - 5*x + 37 = 35 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(13)*-2*-1.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26db3 + -1?\nAnswer: 26db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -9. Which is the closest to -2\/7? (a) 3 (b) -8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338644333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -239. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:45 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7298 smaller than 2.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 751361\/24 - 31313. Find the common denominator of -50\/9 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + 22\/(-3). Let t be j\/36 - (-6)\/27. Let z be 2 + (0 - (-7)\/(-3)). Is z at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2605232 and -27\/560.\nAnswer: 13026160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 8 + 16 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 212907\/4 bigger than 53226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3038*g. Let q(p) = -2*p**2 + 2887*p + 2. Determine v(q(h)).\nAnswer: 6076*h**2 - 8770706*h - 6076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*j = 17*j + 342 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 take away -0.2459311493?\nAnswer: -100.7540688507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 7*v = 8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 11296776?\nAnswer: 11296776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 478. Determine u(-7).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -18, 29, 114, 249?\n\"Answer: 2*q**3 + q**2 + 4*q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -642920*h**2*o + 9823339*h**2 - 5*o wrt o?\nAnswer: -642920*h**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/211 in 3\/5, -2, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227632, -455262, -682892, -910522, -1138152?\nAnswer: -1365782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2*j - 84 + 92, -3*g = -5*j - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7917762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10125 and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -988 - -1010. Calculate the remainder when 71 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -158\/5. Which is smaller: 15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 g, and 1 s when four letters picked without replacement from slscpgsasaagcaccgg.\nAnswer: 8\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1102.4 and -0.3?\nAnswer: -330.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 87*q**2 + 614*q + 121. Calculate j(34).\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3075*f**2. Let m(v) = -v. Determine j(m(x)).\nAnswer: 3075*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*a + 10, 2*a + 2*s = -3*s + 11. Suppose -a*m + 52 = -2*z, 0*m - 77 = -4*m - 5*z. What is the greatest common divisor of m and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3298?\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02324567 rounded to five decimal places?\nAnswer: -0.02325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**41*(d*d*(d\/(d*d**(2\/5)*d))\/d*d)**(-2\/27)*((d**(1\/2)*d*d)**(-22))**(-33) assuming d is positive.\nAnswer: d**(568021\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34249 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millimeter in micrometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 4*o. What is the units digit of o - (-4)\/((-2)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*20\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 4:41 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*i - 9*f, -11 = -212*i + 217*i + 4*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28691 and 4.\nAnswer: 114764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 6*c**2 + 17096*c - 68359. Calculate r(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001111111011 + 100001100?\nAnswer: 1011010100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwwv when four letters picked without replacement from {i: 3, m: 3, v: 2, u: 3, z: 1, w: 2}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -7.3, 8 in descending order.\nAnswer: 8, 0.3, -2, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -10. Let p = h + 4. Which is the nearest to 2? (a) 1\/4 (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498770 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -699*q + 434*q + 30210. Solve q = -72*m + 53*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-7) + -1 + 2 - (-1518)\/322. Let p(m) = m**2 + 7*m - 5. Let w be p(-8). Solve -o + 20 = -4*u, 0*o - d = u - w*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - 6. Let n be (w\/65)\/(18\/(-8) - -3). Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 6*q**4 + (-q + 0*q - 5*q)*(-q**3 + 3*q**3 + 0*q**3) - 164*q**4 - 73*q**4 - 19*q**4.\nAnswer: -262*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -108. Suppose -3*s + k = -0*s + 4*g, -s + 48 = -3*g. Calculate the greatest common factor of 324 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 31. Put -1, -2\/13, o in increasing order.\nAnswer: -1, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670552.\nAnswer: 2, 3, 29, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**5\/60 + a**4\/4 + 2*a**3\/3 + 9*a**2\/2 + 19*a. Let k(v) be the first derivative of m(v). What is k(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20910281.\nAnswer: 7, 71, 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -3*u**5\/20 + u**2. Let h = -20 + 25. Let q(x) = 0*x - h*x + 6*x. Calculate q(d(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3237686*n**2*s**2 - n**2 - 2*n - 4871479*s**2 wrt n?\nAnswer: 6475372*n*s**2 - 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:32 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1196 - -1415.\nAnswer: 1418.1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/(42\/(-2940)*2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwgwgrglgccrgg. What is prob of sequence rc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5 + i**4\/12 - i**3\/2 - 7*i**2\/2 + 4*i. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43554 - -53?\nAnswer: 44051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 2, z: 5}. What is prob of sequence fzvv?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 369993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 7)*-15634*3\/2. Let a = -15244 - f. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2809 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 3, o: 5, w: 5, g: 2}. What is prob of picking 1 o, 1 s, and 1 g?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*u + 1)*(11323 - 21832 + 2677 - 25485 - 18050 - 36517) in the form p + y*u and give y.\nAnswer: 175768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3057146?\nAnswer: 2, 53, 151, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**2 + 3*y**2 - 10*y**2 + 26*y**2 as r + w*y + b*y**2 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 441291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -122, -330, -542, -758, -978, -1202, -1430?\n\"Answer: -2*t**2 - 202*t + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2010 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6992 divided by -8?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30*v - 25. Let r be q(-2). Let m = r + -39. Which is the smallest value? (a) 2 (b) 6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0210987 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16 = -4*k, 5*k + 0*v = 5*v + 15. What is the fourth biggest value in -9, -2, k, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134523007 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-918)\/(-119))\/(-9))\/(70\/2695)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*(p*p**(9\/10))\/p*p)*p\/((p*(p\/(p**22*p))\/p)\/p*p) assuming p is positive.\nAnswer: p**(211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 81, 109, 137?\n\"Answer: 28*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 3 (c) 2\/15 (d) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/7 - 327*r**3 - 777648*r**2\/7 + 2549699*r\/7 - 588786\/7 = 0. Calculate r.\nAnswer: -242, 1\/4, 3, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1398 times 0.8\nAnswer: 1118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = 3*x, -3*t - 4*x + 20 = x. Suppose m = -1 + t. Suppose m*o = -4, -l - 119 = -3*l + o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129900246*r**2 - 129900246*r**2 + 169*r**3 - 12 in the form s*r**2 + h*r**3 + k*r + n and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x + 20. Give v(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*d*k - 3*b**2*d - 26*b**2*k**2 - 2*b**2 - 424*b*d*k**2 - 10*b*k**2 + b wrt b.\nAnswer: -2*d*k - 6*d - 52*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -2.06. Let p be (-2)\/7*8319\/(-6). Let x = -396 + p. What is the closest to 2\/19 in f, 2\/13, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364024291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:24 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -2*x - 2*y, 521*y - 519*y = 4*x + 96 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -313 or -323?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*a + 11. Let f = 6 + -6. Suppose f*t = -4*t + a. Solve -1 = -t*z + 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(3267) + 0) - -2*sqrt(2700))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhy when three letters picked without replacement from {y: 9, h: 4, r: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-932)\/(-31) - (-572)\/(-8866)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3889 or 5372?\nAnswer: 3889","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve r - 24 = 5*z, -4*r = -5*z + 24 - 45 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-360)\/42)\/(6*3*(-4)\/252)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - 3) - (-2 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36\/45 - (-529)\/(-230)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*t + 58, 36 = 5*t + 15*h - 13*h. Factor 3\/5*v**t - 3\/5*v - 18\/5.\nAnswer: 3*(v - 3)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) - (-3*sqrt(1216) + -5)))**2 + (sqrt(1216) - (-5 + sqrt(1216) + -3)) + -2.\nAnswer: 240*sqrt(19) + 10975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454.06807*0.6.\nAnswer: -272.440842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3957 by -17.\nAnswer: -3957\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -10*q + 12*q - 4*x, -2*x + 4 = q. Solve -15 = n - q*g, 5 = 4*n - 5*g + 2*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23176*z**3 - 33379*z**2?\nAnswer: -139056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -486, -139, 73 in descending order.\nAnswer: 73, -3, -139, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 5, 0, 0.5, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, 2, 10, -8, -2, -3, -7.\nAnswer: -8, -7, -3, -2, 2, 10, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -248 + 0?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 - ((-12)\/(-9) + -3). Put -1, 4, -2, d in decreasing order.\nAnswer: 4, d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjhj when four letters picked without replacement from {j: 4, h: 4, o: 9}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Suppose w + t - 13 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b**3 - 32*b**2 + 38*b - 1. Let s(q) be the first derivative of -5*q**4\/4 + 11*q**3\/3 - 13*q**2\/2 - 2. Let z(f) = 4*p(f) + 11*s(f). Give z(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*n + n = -5, 0 = 4*o - 3*n - 10. Is (-2)\/(-4) - (o - 5545\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 10, -3, -1 in decreasing order.\nAnswer: 10, -1, -3, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -33*k + 99. What is the units digit of a(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57927 is divided by 1756?\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 49*w**2 - 4*w + 7. Let q be m(2). Let g = -92 + q. What are the prime factors of g?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*q - 1697 = 6950 + 1419 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/504*-4)\/((-1)\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:36 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 4 = -x - 2*m, 4*x - 3*m = 3. Let g(u) = u**3 + 2*u - 8*u**2 + 4*u - 3 + 9 + x*u. Let z be g(7). Is z less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:45 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r. Let o = -14 - -15. Let g(j) = -12*j**2 + 6*j + 3. Let i(s) = o*g(s) - 6*z(s). Find the first derivative of i(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/120 - 7*k**5\/60 - k**4\/3 - 3*k**3\/2 + 13*k**2. Let u be h(-6). Solve 0*n - n = -u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/21 - -1\/3. Let i = -484\/2097 + 2\/233. Sort -2\/11, 1, o, i in descending order.\nAnswer: 1, o, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 13 = v, 3*v + 8 + 2 = -c. Let h(m) = m**3 + 9*m**2 + 9*m - 1. Let u(f) = 6*f. Calculate the remainder when h(c) is divided by u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 62804207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -5*v**7\/1008 + v**6\/720 - 2*v**5\/15 - v**3\/6 - 123*v**2. Let n(m) be the third derivative of x(m). Give n(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, -10, -45, -114, -229?\n\"Answer: -2*k**3 + k**2 - 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-206960)\/(-32) + 15)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254092.5 litres to millilitres.\nAnswer: 254092500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 2*c**3\/3 - 7*c - 6. Differentiate g(m) with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 - 3. Let i = r + -0.4. Let o = -0.1012 + i. What is o rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19102385 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**5 + m**5 - 4*m**5)*(0 - 3 + 1)*(-4 + 4 - 1).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*n**2\/7 - 36154*n\/7 + 83808.\nAnswer: -2*(n - 16)*(16*n + 18333)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m - 4*c, 22*m - 17*m = -c - 1. Suppose -r - 4 = -m*r + 2*y, y - 8 = -3*r. Solve 0 = -4*l - r + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 - 18*v - 14. What are the prime factors of y(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 0, -0.00398, -3?\nAnswer: -0.00398","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6920 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j - 8. Let h be r(-8). Suppose 2*y - h = 54. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 18*o - 174354 = 0. Let y = o + -18849. Round y to the nearest 100.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574176232.\nAnswer: 2, 196772029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395419 divided by -3.\nAnswer: -395419\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Let m = y + 2. Let q(h) = -6*h**3 - 4*h**2 - 1 - h**2 + h**3. Let a(c) = -4*c**3 - 4*c**2. Give m*q(n) - 3*a(n).\nAnswer: 2*n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28101 from -0.099591.\nAnswer: 28100.900409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17352, 69351, 155892, 276873, 432192, 621747, 845436?\nAnswer: 1103157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:03 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59773*v**3 + 119509*v**3 - 59756*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*o**2 + 692*o**2 - 1874*o**2 - 3*o**3.\nAnswer: -3*o**3 - 1579*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {y: 1, l: 6, m: 3, r: 1, q: 1, d: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dniioaa. What is prob of sequence ndi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -46702 (base 8) to base 3\nAnswer: -1000022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/3, -4, -51, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9619\/22 - 1180\/11. Let n = -38099\/70 - o. Do -1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 13767\nAnswer: 2753.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 5338 (c) 12605 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/30 + v**4\/6 + v**3\/2 - 10*v**2. Let j(y) = 8*y**3 - 7*y - 5. What is 3*j(c) + 5*w(c)?\nAnswer: 4*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/6 - v**3\/3 + v**2. Suppose 4*g = -h + 14, 0*h + h + 14 = 3*g. Let o(d) = -d. Determine h*o(z) + a(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -367, -724, -1071, -1402, -1711?\n\"Answer: b**3 - b**2 - 361*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 26*m**3 - 3*m**2 + m - 9. Let t(c) = -13*c**3 + 2*c**2 + 5. Let o(g) = 5*t(g) + 3*u(g). What is the units digit of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140530 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86132 (base 12) to base 2.\nAnswer: -101011000100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3572 and 233016.\nAnswer: 10951752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, 5, -5, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**2\/2 - 5*s - 6. Suppose 5*y - 1 = 24. Give c(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.72 and 157966011.\nAnswer: 157966010.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1 - 1 + 17*u**2 + 14*u**2 + u. What is the units digit of l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3)*2)\/((-10160)\/27432)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -2\/1113, 31, -4\/7?\nAnswer: -2\/1113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6982341 to the nearest integer?\nAnswer: 2642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 4. Let p(j) = -j + 11. Let y be p(x). Solve 0*z = z - y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2937*b**5 - b**4 + 16*b**3 + 12306969*b**2?\nAnswer: -176220*b**2 - 24*b + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3212011 (base 4) to base 3.\nAnswer: 202012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 19, 1, 3, -4, 24 in descending order.\nAnswer: 24, 19, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 92. Let g(b) be the first derivative of -3*b**2\/2 + 422. Determine g(p(k)).\nAnswer: -3*k + 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79849456 to the nearest integer?\nAnswer: 8936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2538 and 19938150.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(1\/(-4)). Let i be b + -1 - -5 - -2. Suppose m = i + 1. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-6*4 + sqrt(18)\/(sqrt(6)*-4).\nAnswer: -97*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 917a + 0?\nAnswer: 917a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -105*y**3 - y**2 - 696*y - 693. Give r(-1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 70*a**2 + 110*a + 120. What is the units digit of c(70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**3 - 4*v - 15. Let i(y) = -y - 8 - 3*y**3 - y - 2*y**3 + 0*y. Calculate 11*i(u) - 6*p(u).\nAnswer: -u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 11:17 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1712 (base 9) to base 4.\nAnswer: -110123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 * -209.693.\nAnswer: 71.29562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1028 + -4?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbbz when four letters picked without replacement from zbzbzzbzzzb.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249\/13 - 4239\/260. Find the common denominator of c and -1\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -12*g - 2. Which is greater: 7\/16 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*w = -58, 8*a - 4*a + w - 60 = 0. Calculate the remainder when 19 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 17. What is the closest to -1 in 3, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(-3*h + 3*h + h + (-4*h - 3*h + 0*h)*(15 - 14 + 10)).\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4726083.\nAnswer: 3, 107, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(1\/22)))\/s)\/s)\/s*s**(-1\/3) assuming s is positive.\nAnswer: s**(-217\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-3\/4)*s*s*s**(-10))\/(s*s\/(s*s\/(s*(s\/(s*s**1*s))\/s))*s)**24 assuming s is positive.\nAnswer: s**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75281 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -11\/120*f**6 + 1\/60*f**5 + 0*f**3 + 20 + 2*f**2 + 5\/4*f**4 + 0*f. What is the third derivative of i(y) wrt y?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -155249984.\nAnswer: -155249984.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -23. Let j(c) be the first derivative of -5*c + 4*c**2 - 65 + 1\/4*c**4 - 3*c**3. What is j(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (12 + (-15 - -6) + 0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - 19*c**3 + 12*c**3 + 2*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45162026871 less than -0.458?\nAnswer: -45162026871.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757913 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 21.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from ozzooozzowow?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 92. Let v be (n - (0 - 5))\/(2\/3). Factor 0 - 2\/5*d**v + 0*d - 4\/5*d**2 + 2\/5*d**4.\nAnswer: 2*d**2*(d - 2)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 3*j**2 + 2*j**2 + 5*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-2 + 0 + sqrt(5) + (sqrt(10)\/(-2*sqrt(2)))**2 - ((-1*sqrt(405) - sqrt(405))*2)**2.\nAnswer: -25915\/4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 74252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from bzzzmbzzdmdm?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/20 and -79\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)\/(w*w*w\/w**(10\/9))*w\/w**(4\/3)*w\/(w**(-7\/3)*w) assuming w is positive.\nAnswer: w**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1208317.\nAnswer: -7\/1208317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2.6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -4*g. Let t = 3 + 0. Suppose 15 = 5*h + 2*a + t*a, -2*a - 2 = h. What is the smallest common multiple of h and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 834 - 830. Let q(m) = m**3 + m**2 + 2*m + 3. Let f be q(0). What is the biggest value in f, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 at most as big as 1087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 9*f**2 + f - 7. Suppose 5*o - 16 - 29 = 0. Let d be j(o). Solve 14 - d = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.82 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -997696 divided by -3668?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-36)*-4)\/18. Which is the nearest to 0? (a) 4 (b) -3\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*j - 2*n, -j + 26 = j - 5*n. Suppose 0 = j*l - 4*l + 4*w + 14, l = w + 14. Let z(g) = -g - 7. Let v be z(-12). Solve v*h - l = 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7414, -14829, -22254, -29695, -37158?\n\"Answer: -v**3 + v**2 - 7411*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -73. Let w = 43 + k. Let r = -6 - -18. What is the remainder when w is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -5*(sqrt(980) + sqrt(980) + 0))*3 - (-3 + sqrt(980) + sqrt(980) + -3*sqrt(980) + sqrt(980) + sqrt(980)*-3 + 0))**2.\nAnswer: -4536*sqrt(5) + 714456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h + 1. Let p(j) be the first derivative of -2 - 1\/2*j**2 + 0*j - 1\/3*j**6 + 0*j**3 + 0*j**5 + 0*j**h. Find the second derivative of p(r) wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -2\/3 (c) -1\/3 (d) 0.08 (e) -17\/8 (f) -0.1 (g) -0.6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -892 + 888. Which is the nearest to -1\/7? (a) 3 (b) -0.1 (c) n (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 11:00 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 5*x - 1. Let z be l(6). Suppose 3*h + 1 = -s, 4*s + 2*h - 39 + 3 = 0. Suppose -s + 7 = -g. Solve g*i - 6 = i, 0 = -4*y + z*i - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2674 divide 62751103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -254*((1 - 11\/2) + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -32*r - 125. Let q be c(-4). Let z(d) = -2*d - 3. Suppose 0 = -t + 11 + 1. Let f(k) = 9 - 12 + 1 + t + 6*k. Determine q*f(h) + 10*z(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (133\/76)\/(2\/144). Let r = 151 - c. What is the highest common factor of 225 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 6. What is the smallest common multiple of 66 and v(0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51216*o**3 - 1 - 29 - 51214*o**3.\nAnswer: 2*o**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u = 110*u - 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58, -119, -180, -241, -302?\n\"Answer: -61*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -93*h + 4202. Calculate n(45).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Let s(v) = 3*v**2 - 5*v - 1. Let a be s(m). Let x = a + -35. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17243 + -0.13757. What is the closest to q in -5, 3, 1\/11, 0.1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 10. Let i be k(-6). Suppose -34 + i = -2*q. What is the first derivative of -11*f**q + 2 - 2*f**4 + 1 wrt f?\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2528 divided by 19\nAnswer: -2528\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 203644, 203319, 202994, 202669, 202344, 202019?\n\"Answer: -325*t + 203969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(-3*(-15)\/90)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 10. Calculate the highest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/5059815 and -19\/80.\nAnswer: 80957040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 - 175*h**2 + 1621*h - 1451. Let j(o) = -100*o**3 - 2450*o**2 + 22695*o - 20315. Let b(y) = -85*a(y) + 6*j(y). Suppose b(n) = 0. Calculate n.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**4\/7 + 5721*v**3\/7 - 411120*v**2 + 141172404*v\/7 + 20579424 = 0.\nAnswer: -1, 56, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + j = 14. Solve 11 = -3*g + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -372865*u. Let c(b) = -90*b. Calculate c(j(r)).\nAnswer: 33557850*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -242.96 + 247. Let m = c - 4. Let o = 1.04 - m. What is the nearest to o in 0.2, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + p**2 - 4*p + 7*p as j + i*p + u*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-15)*(-85)\/34?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9*(0 - 9). Let o be (-1 - 2)*4\/q. Factor f**3 - 3 + 4*f**4 + 17*f**3 + f**5 - 22*f**2 - 17*f**o + 13*f + 6*f**4.\nAnswer: (f - 3)*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -8 - (3 + 1 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*j + 176, 6*x - 4*x - 176 = 2*j. Let n be 3*-1 + (-256)\/j. Is -0.3 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 4. Suppose 3 = 4*k - 5. What are the prime factors of k\/(-5) + (-114)\/d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17810 is divided by 164.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -988486+-297.91\nAnswer: -988783.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**3 + 6*l**2 - 49*l + 6. Let u(k) = -15*k**3 - 11*k**2 + 98*k - 11. Calculate -6*u(r) - 11*x(r).\nAnswer: 2*r**3 - 49*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 44. Let i = d - 9. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45304 times 0.5312?\nAnswer: 24065.4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*f = 51*f + 1056. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14352 - -23857. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/3 - 14*o**3 - 21*o**2 + 2218*o\/3 + 1456 = 0 for o.\nAnswer: -39, -8, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 14277*f + 1329240 = 0. What is f?\nAnswer: 95, 4664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -893*p**2 + 1053 + 1368 - 127 - 4*p**4 + 3057 with respect to p.\nAnswer: -16*p**3 - 1786*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 - 5 - 5)*((-369)\/(-54))\/41?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + y + 2. Suppose 0 = 2*u - 3*u + 5*x + 27, u + 4*x + 18 = 0. Let p be h(u). Solve p - 4 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8194 times 0.354?\nAnswer: 0.2900676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -112111010210 (base 3) to base 2\nAnswer: -1000101100111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 183 = -8*t. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:37 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073089 is divided by 964?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/295 in 3\/31, -3\/2, -1, -5, 0.2, 4?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 1, c: 2}. What is prob of picking 2 h, 1 c, and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**3 + 5*s + 29. Let u be r(-4). Let k = u + 1237. List the prime factors of k.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 93. Determine v(-20).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3291261*a - 4917. Let p(w) = -1339*w - 2. Give 2*d(c) - 4917*p(c).\nAnswer: 1341*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -14*a**3 - a**2 + 1. Let d be k(1). Let p be d\/21 - (-4)\/6. Let z = p - -1. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 + 236.122. Let z = -1.993703 + 2.1156959. Let j = z - c. Round j to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3561 (b) 0.5 (c) 2604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*m + 5 = 0, 16 - 1 = -3*w - 4*m. Let r = 7\/4 - 2. Let y = -3440 + 3442. What is the second smallest value in w, y, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w**3 + 4*w**3)*(2*w - 4*w + 0*w) - 4*w**4 + 4*w**4 - 2*w**4 - 6*w**4 + 0*w**4 + 4*w**4.\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 1 - 40 - -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24112210 (base 6) in base 3?\nAnswer: -1102102010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2. Let r(b) be the second derivative of -7*b**3\/6 - 9*b**2\/2 - 13*b. Let x(t) = -3*t - 4. Let v(w) = -4*r(w) + 9*x(w). Calculate v(l(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 30 = 8. Solve f = y*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3249 or 3254?\nAnswer: 3249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 10*d**2 + 23*d + 22. Give m(-9).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/376134 and -97\/1003024?\nAnswer: 3009072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32033 + -2324?\nAnswer: 25305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14509\/43 at most as big as -338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26968 - 26970. Let o be 19\/36 - 2\/(-9). Put l, o, 5 in decreasing order.\nAnswer: 5, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 6 - (7 + -6 + -7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6447*b - 35278*b - 1902846 = 0 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 162.3, 0.3, -1\/5, -0.5 in decreasing order.\nAnswer: 162.3, 2, 0.3, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -817 (base 13) to base 16.\nAnswer: -55c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2685 * -24.\nAnswer: -64440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s. Suppose -2*m + s*k - 3*k = -15, 0 = -2*m + 2*k. Solve -5*j - z - 4 = 0, -m*z - 2 + 1 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 22*u**4 - 820*u**3 + 820*u**3 + (-4 + 3 - 1)*(3*u**4 - 3*u**4 - 2*u**4) as q*u**2 + f*u**4 + j + l*u + p*u**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 56*x - 4*x**2 + 56*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 0.5 (c) 0.2 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)*47535\/110. Let g = l - 866. Calculate the common denominator of 57\/2 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15410797 to the nearest integer?\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2406706 - 16903. Let r = 1619803 - d. What is r rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5273590 - -182099.07?\nAnswer: -5091490.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 83*m = 114*m - 5985 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -56, -192, -456, -890?\n\"Answer: -7*x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 - k**2)*(-k**2 - k**2 + 3*k**2) + 2*k - 5*k + 0*k**4 + 3*k**4 + (-185 + 251*k**2 + 185)*(-k**2 + 4*k**2 - k**2).\nAnswer: 504*k**4 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c + 3*c + 2*c**2 + (-5 - 2 + 5 + (0 + 4 - 1)*(0 + 4 - 5) + 3 - 2 + 1)*(8*c**2 - c**2 - 2*c**2) in the form w*c + d*c**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 13*n - 20 = -31 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 23*g - 5. What is v(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 1, 12, 23, 34, 45?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/28 and (-24)\/(-24) + (-6)\/8*1284\/854.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -1763\nAnswer: -38\/1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.083388 and 158?\nAnswer: -13.175304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43537\/4 - -10804. Let l = x - -102. What is the common denominator of l and -2 + 101\/8 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/9 + 328*d**2\/9 + 1661*d\/9 + 148.\nAnswer: -(d - 333)*(d + 1)*(d + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 50 = 5*l + 2*v, -5 = l - 2*v. Suppose 3*k = -l*b + 440, 0*b + 3*k = -b + 100. What are the prime factors of b?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*l**4 + 0*l**2 - 2*l**4 - 3*l**2 + 3*l + l**3 + 8*l**2 to the form t + x*l**4 + q*l**3 + r*l + y*l**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 2*r)*(-3 - 1 - 3)*(-1 + 1 - 2*r**2).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6040 + 6042. Let u(n) be the first derivative of 0*n**2 - 1\/8*n**4 + 10 - 1\/2*n**3 + o*n. Find h, given that u(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.411657 litres?\nAnswer: 3411.657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/5)*v))\/v*v\/((v*v\/v**(-2)*v)\/v)*v*v**(-2)*v*v**8\/v assuming v is positive.\nAnswer: v**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + b813603?\nAnswer: b813602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s**2 + s - 1. Let h be g(1). Let z(m) = m + 7. Let k be z(h). Find the common denominator of k\/(-54)*678\/4 and 87\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/90 + b**5\/5 + 3*b**4\/2 - b**3\/3 - 3*b**2. Let l(p) be the first derivative of y(p). Factor l(t).\nAnswer: 4*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-3) - 82\/123?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13691 is divided by 81.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 8. Let x be d(6). Let b = 0 - x. Let a = -0.17 + 0.27. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and -1554.\nAnswer: 5594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*w**3 + 1019*w**3 + 893*w**3 - 2854*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6380082 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*g + 2 = 2*a, 4*a = -g - 11. Let i(t) = 5*t - 57. Let s be i(12). Let j be a\/16 + s\/28. Sort j, -2\/7, -0.08.\nAnswer: -2\/7, j, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/20*(-18 - -40). Calculate the highest common divisor of 2211 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(432) - (-5*(0 + sqrt(432)) + sqrt(432)))**2 + ((sqrt(3) + -1)*-4*-2)**2 + -2.\nAnswer: -128*sqrt(3) + 11059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6265 (base 12) in base 14?\nAnswer: 3ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18400\/(-122 + 237)*((-132)\/140 - -1)?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13361*k + 13357*k + 88 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-2)\/20*2\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mggggggmcgmcgdccmfkd. Give prob of sequence ddm.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.605094ug in nanograms?\nAnswer: 4605.094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + 12. What is the greatest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let p(w) = 2 - 6 + 2 - w + 3. Let k(v) = -2*v**2 + 5*v - 5. What is s*k(g) - 5*p(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 2*n**4 + 3*n + 78 - 79 - 2*n**2 + n**3 + 3*n**3 to the form s + a*n**4 + l*n + j*n**3 + o*n**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 4*d. Let v be l(3). Suppose w = 5*u - 15, 0*u - v*w - 17 = -u. Suppose -3*z + 3*q + 0 = -6, 0 = u*q - 10. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 2}. What is prob of sequence eec?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36667 - -2170. Is 157 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x - 3. Let w be s(7). Solve -p - p = -w*d - 8, -5*d - 15 = -5*p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6376953, -12753950, -19130945, -25507938?\n\"Answer: h**2 - 6377000*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgaw when four letters picked without replacement from {a: 3, p: 1, w: 8, g: 6}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 6*m - 2. Let r be (-20)\/(-4) - (3 + -4). Determine t(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0 + 6. Solve 3*p + 2*i + 2 = -2, -5*p + b = -i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 - 14*d + d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/120 + 3*c**5\/20 - 2*c**3\/3 + 4321*c**2. Give n(8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.64 + 0.64. Let l = -54\/5 - -11. Which is the smallest value? (a) l (b) -1\/5 (c) -0.4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 10, -1, -5, 9 in increasing order.\nAnswer: -5, -1, 4, 5, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - w**2 - 15. Let q(u) = 3*u**3 - 1. Let p be q(1). Suppose -11*m - p*m = 0. Give f(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1501931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 14, 0.3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f - 106. Calculate a(-14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 11287 = -4*g - g + 11343, g - 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025 - -1.8.\nAnswer: 1.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -187868633116 + -0.06?\nAnswer: -187868633116.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + z**2 + 5 + 3*z**2 in the form p + q*z**2 + s*z and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 a when three letters picked without replacement from {a: 10, o: 5, s: 4}.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31556 - 31?\nAnswer: -31620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 - 2*s + 3. Suppose -r = 3 - 0. Let b be g(r). Suppose n + 3*q = -b*q + 6, 0 = n + 2*q - 3. Sort -0.2, -4, n in ascending order.\nAnswer: -4, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4792650844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0*i - 107\/24*i**4 + 0*i**3 + 0 - 49*i**2 + 0*i**6 + 44\/105*i**7 + 0*i**5. What is the second derivative of b(j) wrt j?\nAnswer: 1056*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.045 (b) -0.7 (c) -2\/5 (d) 376 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 14 - 14)*(j**3 + 2*j**3 + 0*j**3 + (j**3 + 3*j**3 - 2*j**3)*(4 - 3 - 3)).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + -3 + -9 + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*q + 26, -2*q + 9 = -2*s + 27. Suppose -v + 4*n + 109 = -51, 0 = -3*v - s*n + 448. Suppose -293 - v = -y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5929, 23736, 53425, 94996?\nAnswer: 148449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 769761*b - 453967 wrt b?\nAnswer: 769761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 + 24 + 4 + 3*i**2 - 2*i**4 + 30*i - 31 + 3*i**3 to t + y*i**2 + d*i + l*i**4 + v*i**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 11*w - 12. Let o be m(-4). Let z(q) = -q**2 - 11*q - 16. What is z(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 481876 or 481878?\nAnswer: 481878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -3, 3, -0.1 in ascending order.\nAnswer: -3, -3\/2, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*y**3 - 5\/3*y**2 + 2\/3*y - 1\/3*y**4 + 0.\nAnswer: -y*(y - 2)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Let l(x) = -3 - x + 2 - 4*x. Let u(v) = -2*v - 2. Let c(r) = -3*r - 3. Let b(t) = -3*c(t) + 5*u(t). Let y(h) = b(h) - l(h). Calculate y(f(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 15*t**2 - 26 - 38*t**2 + 24*t**2 + 5*t + 6*t**2 - t**3 + 9*t**2. Does 15 divide o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735303?\nAnswer: 3, 131, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**5\/9 - 4063*u**4\/9 + 1631*u**3\/9 + 4063*u**2\/9 - 542*u\/3 = 0?\nAnswer: -813, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*n = -n - 40, 4*q - 2267859*n = -2267863*n + 32 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*l + 30*l + 30*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/((-1)\/(-865)). Let y = -3425\/4 - d. Let l = -5465 + 109337\/20. Find the common denominator of l and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 40*x - 34. Let y(c) = -4*c**2 + 15. Let z be y(3). Let a be b(z). Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3259.955 + -3260. What is the nearest to 1 in 1, -1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 15*s**3 + 3*s**2 + 8*s - 1. What is the units digit of c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*f = -52*f - 52. Solve -15 = f*y + y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -187, -2, 46, 2, 14 in descending order.\nAnswer: 46, 14, 2, -1, -2, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d**(2\/5)*d**(-5\/3)\/(d\/d**(-4\/3)))**(-37) assuming d is positive.\nAnswer: d**(666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 2, k: 6}. What is prob of sequence xx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 870744305 minus -22.481?\nAnswer: 870744327.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - (1*sqrt(209) + sqrt(209))))\/sqrt(11) + (sqrt(114)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 - 2*t**2 + 4*t + 2. Let k(f) = 4*f - 108 - f**3 + 39 + 45*f**2 - 48*f**2 + 72 + 4*f**3. What is 2*k(r) - 3*q(r)?\nAnswer: -6*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -76 - 56. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 547\/21546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1) + 20\/(-6) + 195510\/4410?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59960674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*107.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f + 1. Let z be g(-2). Calculate the remainder when 43 is divided by (-16 - z)\/(1\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2\/17 - 50662*s\/17 - 50664\/17 = 0.\nAnswer: -1, 25332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27316 - -1?\nAnswer: -27315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14135570 is divided by 336561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22355 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 2. Let h(v) = v**2 - v + 1. Let t be ((-6)\/3 - -24) + -8. Let w(n) = -n + 15. Let g be w(t). What is g*q(b) - h(b)?\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h - 124. Let p be l(13). Let s be (18\/4)\/((-3)\/(-2)). Sort s, -4, p in descending order.\nAnswer: s, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:36 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 1. Let p(j) = 5*j + 30. Let c(a) = p(a) - 2*w(a). List the prime factors of c(6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91174*l**5 - 2*l**2 - 41997*l?\nAnswer: -1823480*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223.57 + -226. Let l = 8.17 + t. Let i = 0.34 - l. Round i to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2880 - 2878. Solve 5*z = a*f + 6, 24*z - 22*z - 9 = 3*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9*4*((-369981)\/(-9230))\/579?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, -1.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -323*(-3)\/504 - (-66)\/231 and -61\/560.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (158 + -89 - -163) + -125.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 320*f - 2. Let h(v) = -25*v. Calculate s(h(o)).\nAnswer: -8000*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/16777 (c) 44\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) 0 (c) -182 (d) 4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2493*f - 628178. Determine s(-252).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 714 divided by -12930\nAnswer: -119\/2155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 12*l**2 + 2*l + 28. Let p be m(-12). What is o in -10\/3*o - 2\/3*o**2 - p = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (-7 + 1 - (4 - 3)) + 51?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3203767 (base 8) to base 12.\nAnswer: 352273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 794235920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -14711, 19, 0.5, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2ba7 (base 13) to base 15\nAnswer: -1d60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - 4*x**2 + x + 4. Let t be o(4). Let n(i) = -i + 32. Let p be n(-15). Suppose 3*g + t = 2*s, 0 = -3*s + 4*g + p + 60. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -299210, -594284, -889358, -1184432, -1479506, -1774580?\n\"Answer: -295074*b - 4136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164564.\nAnswer: 2, 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -153 + 348*o**3 + 155 - 42*o**3 + (2 - 2*o - 2)*(4*o**2 - 2*o**2 - 4*o**2) + 2*o**3 - 4*o**3 + 0*o**3.\nAnswer: 308*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20468)\/(-21930))\/((-49)\/(-2730)*6).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-12065)\/(-6023) - 2) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(140\/(-12))\/7. Suppose s = 2*s. Sort n, s, -3 in decreasing order.\nAnswer: s, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36652 and 15246154.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*n - 119036, 3*k - 119027 = -163*n + 159*n. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -385*q. Let j(s) = 72*s**2 + 5. Let v(u) = -16*u**2 - 1. Let z(f) = -2*j(f) - 10*v(f). Determine z(m(i)).\nAnswer: 2371600*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8 - 0. Let x be 0\/(2\/1) + -21. Let j = x - -23. Solve j*p - 4 = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 1. Let t(d) = d - 1. Determine 5*a(b) - 5*t(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631629, 631631, 631635, 631641, 631649, 631659, 631671?\nAnswer: 631685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 1.03. What is the nearest to x in 4\/5, -2, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**11\/1164240 - y**9\/211680 - y**5\/20 + 2*y**2. Let j(d) be the third derivative of n(d). Let j(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m + 5. Suppose -2*z - 30 = -m*l + z, 3*l = z + 18. Let q = l + -6. Solve q = -3*c + c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6245, -25567, -57777, -102881, -160885, -231795, -315617?\n\"Answer: -d**3 - 6438*d**2 - d + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5265 - 5261. Solve -8 = 4*w, -s*q + 0*q + 3*w = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 + -0.5.\nAnswer: -0.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-590)\/(-25) + (2 - 32\/20). Suppose 0 = -74*k + 68*k - g. Suppose -5*f - 2 = 4*h - 22, 0 = 5*f + 5*h - 20. Sort f, k, -1 in ascending order.\nAnswer: k, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317720 is divided by 800?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -15, -22, -21, -6, 29?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 19*k**2 + 40*k + 491. Determine h(-18).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0344 - -1.6325967?\nAnswer: 1.5981967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -10 (c) 1\/16 (d) -3 (e) 3.5 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4800107 - 2.48. Round g to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1498, -3212, -4938, -6682, -8450, -10248, -12082, -13958?\nAnswer: -15882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5302.6 to the nearest ten.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**7\/2520 + b**5\/360 + b**3\/3 - 2. Let a(c) be the third derivative of k(c). Factor a(u).\nAnswer: -u*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(294)*1)\/(sqrt(8)\/(sqrt(4)*3)))**2 + 2.\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**4\/7 - 220*t**3\/7 + 636*t**2\/7 + 3780*t = 0?\nAnswer: -9, 0, 15, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 38102 = -37550 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3445 - 3454. Let l(i) = 4*i**2 - i - 6. Let y(h) = 7*h**2 - 2*h - 13. Calculate k*l(q) + 4*y(q).\nAnswer: -8*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1772301 divided by -59\nAnswer: -30039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33597 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 2. What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4772*b**3 + 2319*b**3 + 2259*b**3.\nAnswer: -194*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3*m + 0)*(-2 + 3 - 2) - 3*m - 20*m + 2*m)*(2*m + 2*m + 3*m)*(2 + 2 - 5) in the form t*m + o + h*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*w - 16*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3699 is divided by 630.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 193 + -213 - -34 - (76 + 0)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + -67 - ((2 - 0) + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 30 = -684. Let x(i) = -i. Let z(h) = -7*h. Determine g*x(o) - 6*z(o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.413 + 1.713. What is the second biggest value in 1\/11, -7\/3, a, -11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5 + 1628*p**4\/5 + 22144*p**3\/5 + 35596*p**2\/5 + 11222*p\/5 - 3848\/5 = 0 for p.\nAnswer: -148, -13, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 73. What is the highest common factor of i and 454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.12639225 and -9915705.3?\nAnswer: 9915705.42639225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2*d**2 + 0 + 1\/24*d**4 + 0*d**3 + 10*d. Let y(m) be the first derivative of r(m). Let u(i) = -5*i. Give u(a) + 4*y(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 865667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.2. Let u be (-20865)\/227953 + 10\/(-115). Let y = 3\/901 - u. Which is the smallest value? (a) q (b) 1 (c) y (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 55055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a**2 + 12*a**2 + 44*a**2 - 5*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**2 - 24*a**2 - 2*a**2 + 11*a.\nAnswer: -12*a**2 + 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 388666181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z + 5*z)*(-14 - 12 - 2) in the form u*z + k and give u.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 0.1471, 2 in decreasing order.\nAnswer: 10, 2, 1, 0.1471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (43 - 62)) + -65 - -39?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 13\/6*n**6 + 1\/10*n**5 + 0*n**4 + 5 - 2*n + 0*n**2 - 25\/2*n**3. What is the second derivative of t(j) wrt j?\nAnswer: 780*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.41 and -4.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*h - 17 - 10 = 0, -5*h + 10 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*54\/(-12)*16*7\/84.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19769702 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3 (c) -199 (d) 1 (e) 31 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18302778 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -340?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 + 3*t**2 + 5*t**2 + (-t**2 + 3*t**2 - 3*t**2)*(-3 - 3 + 7) to z*t**2 + d + g*t and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 824318 - 24699.\nAnswer: 799619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213.15 - 213.09. Which is the nearest to 18? (a) 1\/3 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 23071731.\nAnswer: 46143462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2097, 943, -211, -1365, -2519, -3673?\nAnswer: -4827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3 = 2*d, -23 = 18*d - 16*d - 5*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 151.734238+0.4\nAnswer: 152.134238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 - 2*z - 4. Let b be q(-2). Let k be -1 - (-4 + (9 - b)). Let o(x) = -x**2 - 2*x - 3. What is o(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170.945 + 171. Let l = w + -0.05500269. What is l rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38803 is divided by 3525.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7668767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 268*u + 19. Let h(b) = 537*b + 43. Calculate -4*h(f) + 9*j(f).\nAnswer: 264*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089793 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(-42) + 258\/216 and 47\/66.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*m = 4 + 10, -m = v - 6. Let z be (14 - v)\/((-1)\/(-4)). Suppose o + 3*o = z. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: c6 (base 13) to base 8\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/70*(-7490)\/428?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32331, 64661, 96991, 129321?\nAnswer: 161651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/308 and -87\/224728?\nAnswer: 2472008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 4, r: 11, m: 1, e: 1}. What is prob of sequence zrr?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -3, -309, -8, -9.\nAnswer: -309, -9, -8, -3, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -22*o + 0*o**3 - 40 - o**3 + 3*o - 13*o**2 - 4*o**2. Let y be a(-16). Solve -2*d - 2 = 0, 3*d = -3*m - 26 + y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 99c43 - 2?\nAnswer: 99c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 23. What is the second derivative of -8*j**4 - 3*j**4 - f*j - 7*j - 3*j**4 wrt j?\nAnswer: -168*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 - 71 = -42*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/(-28) + (-8)\/56.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p + 2. Let u(c) = 3 - 2 - 3 - 190*c + 181*c. What is -3*u(l) - 2*z(l)?\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29452 - 5452. What is w rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124016, -248218, -372420?\nAnswer: -496622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*a = 16, 28*g = 26*g + 8*a - 66 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 3*r**2 - 3*r - 5*r**2 as m*r**2 + i + x*r and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 4. Let t = l - -10.055. Let x = t + -0.05499961. Round x to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 3:40 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 97386*w = 97384*w + 48, 8*d - 5*w = -120 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 1 - (-2 + -26). What is the highest common divisor of 78 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 divided by -46?\nAnswer: -313\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41310457543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107 and 1284.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.13 - -0.98. Let w = c - -1.59. Let o = w + -4.8. Round o to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1.3419 (b) 4 (c) -0.2 (d) 0.4 (e) 3\/4 (f) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54752 and 5024?\nAnswer: 8596064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 5, 0, 3, -46, -748 in decreasing order.\nAnswer: 5, 3, 0, -46, -69, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kksk. Give prob of sequence kkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, 1 in decreasing order.\nAnswer: 1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67273170?\nAnswer: 2, 3, 5, 127, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**3\/4 - 579*a**2\/4 - 6009*a - 26520 = 0.\nAnswer: -136, -52, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 43. Let v be 9\/(-27) - (k\/(-3) + -1). Suppose -v*u + 20 = 8. Calculate the least common multiple of 14 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 264*q - 256*q - 544. What is the lowest common multiple of q and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9208075 to the nearest integer?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -3, 0.3, -2.7, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-18) - (4 + -2). Let s = 19 - 20.8. Let l = -0.2 + s. Which is the nearest to 0? (a) l (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26 - -18) + 10 + (-4)\/2. Solve 22*i - 24*i - 4*a + 18 = u, -3*i = a - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 35335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + 0 + 4 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + -2.6. Let h = -92\/5 - -18. Which is the closest to 1? (a) q (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdddddddbbdddd. Give prob of sequence db.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3409671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 14 + 25 = 0. Is -12\/5 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0925381015 to four dps.\nAnswer: -0.0925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3 - 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 3*p - 11. Let d be v(-6). Let f = -10 + d. Let c(n) = -n**3 - 3*n**2 + 2*n + 2. Determine c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5723 is divided by 1319.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Factor -7*s**2 + 4*s**4 - 3*s**g + 10*s**2 + s**5.\nAnswer: s**4*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n, 5*v + 0*n - 751 = 4*n. Let b(i) = -i**3 - 5*i**2 + 2*i - 3. Let g be b(-6). Calculate the highest common divisor of g and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -321, -749, -1363, -2169?\nAnswer: -3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -78, -130, -196, -282, -394?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.11394 rounded to 1 dp?\nAnswer: 37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 52 = 2*f - 4*f, f - 26 = p. Let k = 179 + -125. Let c = k - f. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 12210?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*v - 175 = 2*w, 2*w + 2*v = 70. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232215 (base 6) to base 4\nAnswer: -10313303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -558, -1113, -1668, -2223, -2778?\nAnswer: -3333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -20976338?\nAnswer: -3\/20976338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42219.04 millennia to decades.\nAnswer: 4221904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-180)*(-18 + 14). Which is the nearest to -47? (a) -0.4 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 313 + -179. List the prime factors of x.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1816 = 2*o + 3*g - g, -4540 = 5*o - 2*g. Is 26 a factor of 2\/(16\/2470) - (-681)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i, 4*v = 2*i + 7 + 3. Let b(m) = 14*m**2 + 7*m**2 - 16*m**v. Let x(d) = d. Calculate x(b(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7024 (base 8) in base 16?\nAnswer: -e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2707 is divided by 540.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000076791916 to 7 dps.\nAnswer: 0.0000768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 6142?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.3. Let k = 36 + -126. Let r = 89 + k. Which is the closest to -2\/3? (a) -2\/3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 136. Suppose -5*c + 575 = 2*b + b, -n*c = -8. List the prime factors of b.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -930 - -1311. Suppose -18*c + 21*c = x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5040436699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/4 + 4*t**3 - 3*t**2\/2 - 18*t + 6322. Calculate l(11).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -397.9 - 0.2.\nAnswer: -398.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6564215, -13128435, -19692655?\nAnswer: -26256875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a - a**2 + (2 - 1 - 3)*(-13*a - a**2 + 13*a))*(-2 - a**3 + 2).\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -30*s**2 + 12*s + 12. Let j be -1 - ((-3)\/2 - (-1232)\/(-32)). Let d(y) = 19 + 25 - 12*y**2 - j + 5*y. Calculate -5*b(r) + 12*d(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5217821.059 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70904959 to the nearest integer?\nAnswer: 8421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 13*c**2 + 2*c - 15. Let z be b(-6). Suppose -3*g = -z - 21. Calculate the remainder when 42 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = -93*u - 80*u + 266*u - 96*u - 20*o, o = -11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**4 - 17*r**3 + 53*r**2 - 17*r. Let j(m) = -2*m**4 + 6*m**3 - 18*m**2 + 6*m. Let d(g) = 17*j(g) + 6*n(g). Find the third derivative of d(k) wrt k.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 45 = -2*r. Let z = -4 + r. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/8, 52, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70466 divided by 1?\nAnswer: 70466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 38 - 54. Differentiate 180 + 178 - 264 - 6*s + c*s**3 with respect to s.\nAnswer: 12*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(42\/(-30)) + 5. Suppose a - 4*r + 5*r - 527 = v, 2*r = 2*a - 1054. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27286801.\nAnswer: 1129, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*2850002)\/(10\/15). Suppose p = 3*q - 3*k, -4*k - 8550008 = -3*q - 0*k. Round q to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8337015.\nAnswer: 3, 5, 185267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 19*w**2 - 79*w + 11. Determine o(-9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-40)*10\/12*-321*36\/54\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1013\/5 + 203. Factor -1\/5 - 1\/5*s**2 - u*s.\nAnswer: -(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - z - 17, -3*p + 2*z = 4 - 17. Let s = p - 0. Find the second derivative of -12*w - 4*w**3 + w**s + w**3 + w**3 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 13 = j, -2*j + 16 = -2*y + 2*j. Let p be (-1)\/y - 45\/(-6). Suppose -n + p - 2 = m, 0 = 5*n - 2*m - 16. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -39. Is -4*l\/((-80)\/(-24748)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/5)\/(r\/((r**(-10)*r)\/r)*r)*(r\/r**(-2))**41 assuming r is positive.\nAnswer: r**(557\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 152. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 3 in descending order.\nAnswer: 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 121. Suppose 0 = -j + a + o, -4*j + 4*a - 9*a + 341 = 0. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95464132*m**4 + 112977954?\nAnswer: 381856528*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1869, 2\/11, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 10 = 5*o - 0*o, -5*o + 2*k = -15. Let b(l) = l**2 + l. Let d(m) = -10*m**2 + 6*m - 4. Let n(w) = o*d(w) + 4*b(w). Factor n(x).\nAnswer: -2*(x - 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110011 - 1?\nAnswer: -110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2577551856 to the nearest integer?\nAnswer: 50770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.2, 656\/7, 2\/21?\nAnswer: 656\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 + 6*g + 3. Let y be u(6). Let l(c) = 0*c + 0 - c - y. What are the prime factors of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(-5*(sqrt(891) + -3) + 3 + -3))**2.\nAnswer: -5400*sqrt(11) + 90002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 1*-3) + 4. Suppose n*w - 131 = 854. Let u = 362 - w. What is the highest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-11)*(-402)\/201?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6*r + 5. Let o be b(-5). Let q(a) = a**3 - a**2 - a + 13. Let v = -14 + 14. Let f be q(v). Solve 3*m - f = 5*w, 4*m + o = -3*w - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**20\/i**5)\/(i**(-2\/5)\/(i\/((((i*i**(-2\/5)*i)\/i)\/i)\/i*i))))**(-2\/11) assuming i is positive.\nAnswer: i**(-168\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 8*q**2 + 2*q - 12. Let c be k(8). Solve l - 5 = -c*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183740228845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367434209 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 582 by 5.\nAnswer: 582\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160875.\nAnswer: 5, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*y**2 + 36*y - 22*y - 16*y to s*y + x + o*y**2 and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*t**3 + 2775*i**3*t - 358*i**3 - 75*i**2*t**3 + 112*i**2 - 2*t**3 - 19*t**2 wrt i?\nAnswer: 6*t**3 + 16650*t - 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6992 + 15072 = -4*t, 5512 = -r - 2*t. Is (-9)\/(-6)*r\/(-72) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m - m)*(2*m**2 - 3*m**2 + 2*m**2)*(83*m - 55*m + 56*m).\nAnswer: 168*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6002*c**4*u + 9*c**3*u**2 + 4*c**2*u**2 - 161*c**2 + 107*u wrt c.\nAnswer: -144048*c*u + 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(-3*k + 4*k - 2*k) + (28192 - 28192 - 309*k)*(-1 + 0 + 2 + (0 + 0 + 2)*(0 + 2 + 0)))*(-k**3 - 2 + 2).\nAnswer: 1547*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2532 and 7512.\nAnswer: 1585032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 11*w - 17*w + 4*w + 601*w**2 + 139*w**2 as g*w + f*w**2 + c and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.85 + -13. Let l = x + -0.25. Put -5, 0.3, l in descending order.\nAnswer: 0.3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - s + 65 = 11*o + 38, 5*o = 24 - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 + -3 - -1) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -65\/7. Let j = -0.2 + 0.5. Suppose f + 4 = -3*m - 0, 5*f + 9 = -4*m. Which is the second smallest value? (a) g (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12210 and -0.03.\nAnswer: -12210.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h - 30 = 0. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-3 + -2) + 0 + -3. Let c(s) = -s**2 - 7*s + 2. Let v be c(-7). Sort v, 0, k, 1 in ascending order.\nAnswer: k, 0, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 0*u - 26 = 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/60 + x**4\/8 + 5*x**3\/6 + 7*x**2. Let z be q(-4). Calculate the greatest common factor of 99 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, q: 1, u: 2, r: 2, x: 5}. What is prob of picking 1 u, 1 x, and 1 q?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3795 and 31020.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2\/3*-2. Let n = -0.40229 + -0.09771. What is the biggest value in n, w, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 52. Let d be 8\/(-2) + y + 71599988. Suppose -c = c + 3*g - d, -c = -4*g - 35800016. Round c to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2070, 2341, 2684, 3129, 3706, 4445?\n\"Answer: 5*o**3 + 6*o**2 + 218*o + 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136810 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376 (base 9) to base 2.\nAnswer: 100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 3. Let l(q) = -4*q + 7. Let x(h) = 4*l(h) + 7*n(h). Differentiate x(j) with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -244, -246, -248, -250?\n\"Answer: -2*k - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 37*q**2 + 414*q**3 - 413*q**3 as y*q + p*q**3 + a + f*q**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17051, -17237, -17423, -17609?\nAnswer: -17795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 486\/6 + -2 + 0. Let s = h - 44. Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -17*n - 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/3 - 11207*m**4\/3 - 31167919*m**3\/3 + 1300054759*m**2\/3 + 9137189072*m\/3 - 10406064704\/3 = 0?\nAnswer: -5624, -7, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5733 - 28356\/5. Let s = r + -62. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/121 + 12\/(-22). Suppose d*i - 3*i - 10*i = 0. Solve 6*a - a - 4*s = 24, i = -4*s - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 + -3 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -1\/60*n**5 + n**2 + 0*n + 1\/6*n**3 + 0 - 5\/24*n**4. Let o = 6 + -10. Give i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 55*w**3 - 9*w**2 + 5*w - 2. Let q(d) = 28*d**3 - 4*d**2 + 2*d - 1. Calculate -2*b(j) + 5*q(j).\nAnswer: 30*j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3942 and 9198.\nAnswer: 27594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 116 = -5*l - 17*l. Which is the smallest value? (a) 3 (b) l (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -24, 3, -4, 0, 1 in decreasing order.\nAnswer: 3, 1, 0, -4, -14, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fflflflf. Give prob of picking 2 f.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1087, -2106, -3125?\n\"Answer: -1019*c - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 15*a = -18. Put 4, -4, -2, a in descending order.\nAnswer: 4, -2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2512, 0, 3, -9\/7 in increasing order.\nAnswer: -9\/7, -0.1, 0, 3, 2512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(2\/7)*h)\/h*h)\/h)\/h)**(-22)\/(h\/(h\/h**0))**(-49)*(h\/(h**(-1\/4)\/h)*h)**38\/(h*h*(h*h**0)\/h*h**6) assuming h is positive.\nAnswer: h**(1705\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, 26, -16?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 <= -22276327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqufqsoouqeoooq. What is prob of picking 2 q and 1 o?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 4*x**2 + 3*x + 13*x**2 as o*x**2 + i*x + f and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*g**2 - 29*g**2 + 49*g**2.\nAnswer: 68*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6*k + k = -20, -2*k + 16 = 2*y. Suppose -y*g = -g - 116. Let n = 225 + -215. Calculate the remainder when g is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*c + 39, f = 2*f - 2*c - 12. Let l be 22\/4 - 9\/f. Suppose z - 24 = -4*z + l*h, 0 = 4*z + h - 36. Solve -z = -2*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) -2\/7 (b) -3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5 - 1 = -3*h, 5*h + 3*u = 25 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2\/3)*g)\/(g\/((g*g**1*g*g)\/g)))**(1\/7) assuming g is positive.\nAnswer: g**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129519 and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9075\/15869 - 1\/2267. What is the smallest value in i, 2\/31, 1\/4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36458, -36592, -36954, -37658, -38818, -40548?\n\"Answer: -19*a**3 - a - 36438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 299. Let f be n(-59). Solve -f*m + 16 = -67*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57186 at most as big as -1640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219532 is divided by 246614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -51 (c) 895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48309153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 22*o**2 + 58*o - 21. Determine h(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -26 - 52. Let p = -22 - z. Solve 0 = -2*b - 5*u + 23, 3*u - p = -4*b + 6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 44445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 141, 139, 137, 135, 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/3*j**3 + 2*j**2 + 7*j + 0 - 9\/20*j**6 - 7\/12*j**4 + 1\/60*j**5. What is the second derivative of u(s) wrt s?\nAnswer: -324*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 3, f: 13, n: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxoyaaw. Give prob of picking 1 w and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/(-13))\/((-4)\/(-6)). Let s be (q\/6)\/(2\/(-24)). Suppose -i + s = 4. Solve -i*l + 6 = 2*u - 2, 0 = -4*l + 2*u - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2011 - -2013. Solve -3*r = b*l - 0*r - 17, 5*l = -4*r + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 23*y**9\/504 - 19*y**5\/60 + 12*y**2. What is the third derivative of a(l) wrt l?\nAnswer: 2760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-5)*30\/12. Suppose -h + 4 = 4*q, -m*q = 4*h + h - 110. Solve 5*u = k, 0*u + h = u - 5*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -26*a**2 - 30*a + 56. Let x(n) = -5*n**2 - 6*n + 11. Let f(z) = -3*w(z) + 16*x(z). Suppose f(y) = 0. What is y?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) + 3*sqrt(152)*-3 - sqrt(152)))\/sqrt(8) - sqrt(38)\/(4*sqrt(72) + sqrt(72) + sqrt(2)).\nAnswer: 309*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 3*w - 5*w**2 + w**3 - 3 - 1. Let y be c(4). Suppose 10 + y = 2*s. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 19642539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:17 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2927484 and 2772?\nAnswer: 32202324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1224 (b) 39 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004344 to seven dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2864 = -6*n - 79424. Round n to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -3572 (c) 128 (d) -4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 + 79 = 5*i. Suppose 26 = -4*z + i. What is the units digit of (12\/10)\/(3\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8154498271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 5. Suppose -o = -n - 4, 0 = -0*o - 4*o - 2*n + 40. Let z be g(o). Sort 1, z, -2.\nAnswer: z, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17.7 in 7, -14, 0.01, 0.4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-10))\/((-6)\/8). Let w be 6 + (-12)\/8*f. Sort -4, 0, w in descending order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 3 + 1 + 12 - 5 - 3 + 10*x.\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + t = 6, 0 = -2*w + 2*t - 3 - 1. Let s = w + 22. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 5*q + 4*q)*(-3*q + 4 - 4)*(-2*q**2 + q**2 - q**2)*(-2 - 2 + 3).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1639)\/149 + 75\/7)\/(16\/(-98)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from dyysssyddf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 148742733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:55 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**3 - 5*o**3 + 3*o**3)*(15091*o + 385*o + 1793*o + 13397*o) to j + z*o + m*o**2 + r*o**4 + d*o**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 11*x**5 + 3*x + (-4*x**3 + 2*x**3 + 0*x**3)*(-3*x**2 - 5*x**2 + 4*x**2) + (1 + 4 - 3)*(-2*x**5 + x**4 - x**4).\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -149095 and 1747.\nAnswer: -260468965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/2*7\/126*(-48)\/(-180).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 0, 19, 16 in increasing order.\nAnswer: -5, 0, 5, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1240720 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 4 (c) 0.0434 (d) -0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + u**4 + 7 - 134 + 474795*u**2 + 0*u + u**3 - 474797*u**2 to s*u**2 + y + b*u**4 + q*u**3 + d*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + (25 - 28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*m - 2, m + 2*t = -3*t - 7. Let k = -2 + 2. Suppose k = -s - r + 11, 0 = r - m + 8. Solve 5*x = -2*u + 7, 5*x - x = u + s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 3*m**2 + 4*m**2 + (m**2 - 5*m**2 - 3*m**2)*(1 + 1 - 1)*(-1 + 1 + 10).\nAnswer: -67*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*-2 - sqrt(450))*4)\/(sqrt(10) - -2*sqrt(360))*-6 + 1.\nAnswer: 1 + 216*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 778*k**3 + 21*k - 771*k**3 + 21*k - 42*k.\nAnswer: 7*k**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000111010 - -100?\nAnswer: -1111000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - f + 10055 = 5*m, -5*m - 4*f + 10070 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 10:21 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 128, 292, 522, 818, 1180, 1608?\n\"Answer: 33*j**2 - j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109649 or 109651?\nAnswer: 109651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -695?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {f: 1, g: 3, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 44700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1748 + 4309. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, y: 5}. What is prob of sequence ddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 3978065?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + 2)\/(1\/3) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 2, j: 3, q: 1, d: 3, b: 2}. What is prob of sequence qd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19962870 divided by -5?\nAnswer: -3992574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 79\/(-4))*16\/12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740 divided by 96?\nAnswer: -185\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*r = 10, -5*r + 60 = 4*m - r. Solve 3*h = 7*h + m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10887 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4244 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70414*r**3 - 244638 wrt r?\nAnswer: -211242*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.2. Let j = 0.23 - -0.17. Which is the third smallest value? (a) j (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -36*m + 6. Let z(k) = k. Let g(u) = -f(u) + 12*z(u). Suppose -5 = 2*d + 4*y + 3, -4*d - 7 = 5*y. List the prime factors of g(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 143 = -103. Suppose -26*n + 234 = 13*n. What is the least common multiple of n and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 37. Let n be ((12\/(-14))\/((-56)\/(-98)))\/3. What is the fourth biggest value in d, -4, n, -7\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = 26 + 28 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43865.76 hours?\nAnswer: 157916736000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9984 by 656.\nAnswer: 624\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -218669.0868 minus -6?\nAnswer: -218663.0868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*r + 5*s, 2*r = -4*s - s + 11. Suppose -r*j + 6 = -3. What is the third derivative of 0*i**4 + j*i**2 + 0*i**4 + 15*i**4 wrt i?\nAnswer: 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 - 103*f**3 - 56*f**2.\nAnswer: -60*f**2 - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/24*(-28)\/21.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*r - 75, -37248865*r - 30 = 9*t - 37248867*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmiiiiiiimmmmimi?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20 + -17 + (-2)\/2. Solve 25*i = 27*i - v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 + 13*s - 30. Let l be t(-6). Find r such that -10\/13*r**3 + 24\/13*r**5 + 8\/13*r**4 + l*r + 0 - 4\/13*r**2 = 0.\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q - 1. Let y(b) = 3*b**2 - 6*b - 4. Let g(u) = -11*t(u) + 4*y(u). Calculate g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000761857 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-4)*88\/11 - -61.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-10))\/(-1))\/(6\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-11)\/44*12\/(-9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33272 and 324402?\nAnswer: 1297608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 4. Let d be 4\/(128\/24) - (-1605)\/(-12). Let c = 134 + d. Let m(b) = b - 1. What is c*y(q) + m(q)?\nAnswer: 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-36))**(11\/5)\/(i**33\/i)**(-6\/11))**(11\/5) assuming i is positive.\nAnswer: i**(-3396\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*k + 19, 3*k - 4*y - 1 = -3*y. Suppose g + k = 5. Let w(h) = -h**3 + 2*h**2 + 4*h + 1. Calculate w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 32248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + ((-1 + sqrt(833))*2 + -4)*-6)*5*2)**2.\nAnswer: -596400*sqrt(17) + 12121225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, 239, 4\/5, -5 in decreasing order.\nAnswer: 239, 4\/5, 2\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 9862011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 289, 314, 349, 394, 449, 514?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30616124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11325255.\nAnswer: 3, 5, 857, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f**3 + 30*f**2 + 16*f - 6 = 0.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1\/6, 33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 20 + 2*i + 0*i.\nAnswer: 2*i - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 18*t - 20. Let x be r(-8). Let p(s) = 252 + 28*s**2 - x. Let z(l) = l**2. Determine z(p(b)).\nAnswer: 784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhj when three letters picked without replacement from jjjtthtevjjejejjjv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/18)\/49 - 48\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -7 - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 5195*x**2 + 2640*x**2 + 2575*x**2.\nAnswer: 20*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -305030 divided by 5170\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1)\/((-25)\/(-125)). Sort p, -2, 8, -4 in ascending order.\nAnswer: p, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -11. Find the common denominator of 326\/40 - o\/5 and (9\/2)\/(6\/14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137115?\nAnswer: 3, 5, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 819868 - 819874.79882. Let s = 6.8 + w. Round s to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 10:47 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Which is smaller: 8\/3 or m?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 9}. Give prob of sequence aaa.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r**2 + 9*r. Let o = -13 - -7. Suppose 4*q = 9*q - 10. Let h(j) = 1 + 4*j - 1 + 7*j**q. Calculate o*n(u) + 13*h(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 92 = -1355. Let s = 266 + f. Let l = 236 + s. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - b = 31, 5*b = 4*l + 2*b - 63. Let n be l\/(-10 + 5) - 64\/(-8). Solve 2 = 2*h - 2*p, -45 = 2*h - 7*h - n*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 5\/(-1) - -5. Suppose 73 = -c + y*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*s**2 + 69*s**2 - 421*s**2 + 6*s**2.\nAnswer: -612*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1564460)\/(-2904454) - ((-36)\/(-14) + -2).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233720 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 m(c) be the third derivative of c**5\/10 - 13*c**4\/24 - 7*c**3\/6 + 9*c**2. What is the units digit of m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132\/233 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*-6*((sqrt(187) + -2*sqrt(187))\/sqrt(11) + (sqrt(17) + 1)*2 + (sqrt(17) - sqrt(425)*2) + 3))**2.\nAnswer: -2163672 + 155520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*v + 4145, 0*t = -2*v - t + 1658. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Solve 0 = -3*g + a*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*17\/(-255)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21302, -42610, -63924, -85244, -106570, -127902?\nAnswer: -149240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1113031031 (base 4) to base 9\nAnswer: -603875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 take away -1.06?\nAnswer: 1.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + -0.049993. Round v to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5606 - 984. List the prime factors of u.\nAnswer: 2, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-8) - (-9 + 4). Let u be 11*33\/9 + 0. Let w = u + -41. Which is the second smallest value? (a) w (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 14. Do 2\/19 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f - a?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*m - 30 = -154*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/11 - 9892888*y\/11 - 19785768\/11 = 0?\nAnswer: -4946442, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = 4*x - 0, 16 = 2*k + 4*x. Let d(b) = 2*b**2 - 5*b + 1. What is the tens digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose 0 = -0*g - g + 273. Let l be -2 + (-7)\/(g\/(-72)). Is q < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let u(k) = 488*k**2 - 4*k - 2. Determine 4*g(m) + u(m).\nAnswer: 488*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666.524 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 150 = -18. Calculate the remainder when g is divided by 2\/(-3) + (-1026)\/(-81).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45248*f - 35916 = 45740*f for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*c - 22 = 0, 0*j + j - 4*c = -40. Let s = -12 - j. Let w = 166 - 69. Calculate the remainder when w is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*d - 20, l + 2 = -d + 4. Solve 5 = l*g + 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -4 - 3\/((-36)\/1020). Calculate the greatest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 47, 146, 329, 632?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 - -112.9166. Let f = g - -0.07351. Round f to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 - 17*t - 12. What is b(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-15) - (-3)\/(-5). Let f(d) = 4*d - 4. Let g(u) = 3*u - 12 + 8 - 1. Let l(h) = p*g(h) + 3*f(h). Differentiate l(q) with respect to q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxkm. What is prob of sequence mo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748487581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 14, 3*g - g - 11*i + 246716 = 246874 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**5 + 7*q**4 + 9*q**3 - 16*q**2 + 17*q - 9. Let j(t) = 2*t**4 + 2*t**3 - 4*t**2 + 4*t - 2. Let z(h) = -2*b(h) + 9*j(h). Factor z(v).\nAnswer: -2*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 762406 - 330542 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57 + (-3*2)\/2. Suppose 0 = 3*a - u. What is the remainder when 70 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29149991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31730 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00103326 rounded to 5 dps?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440041 = 5*h + 615014. Let t = 170193 - h. Suppose -4*n + 78796 = -t. What is n rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-81) - ((-56)\/(-9) - 2). Let x be d\/(-7) + 11\/(-7). Which is the closest to -0.1? (a) -2 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -693 by 63.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - (4 + 1) - (-10 - -13))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34589411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 37*g**2 + 32*g - 375. Does 20 divide r(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -454624\/55 - -8267. Let g = -12887 + 579866\/45. What is the common denominator of q and g?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a**4 - 3\/2*a**3 - 1\/10*a**5 + 0 + 10*a**2 + 0*a. What is the first derivative of w(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -146*n**3 - 938*n**2 + 7*n + 14121. Let g(v) = -65*v**3 - 469*v**2 + 3*v + 7060. Let p(q) = 9*g(q) - 4*u(q). Find the first derivative of p(s) wrt s.\nAnswer: -3*s**2 - 938*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6567470 - 6069735 = -156*u - 3707921. What is the ten thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404070333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61322465 is divided by 140.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 7*b**4 - 3*b**2 + 4*b**4 - b**4 + b**2 - 1 as q*b**3 + m*b + f*b**4 + n + g*b**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -4)*4776\/(-40)?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8*z + 10768, 2*z - 5*z + 8067 = 3*k. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3063 - -3108. Let l be 6\/(-4)*4\/(-3). Find the third derivative of h*p**l - 3*p**2 - 17*p**6 + 28*p**6 + 5*p**6 wrt p.\nAnswer: 1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3\/12 + q**2\/2 - q + 5. Factor x(r).\nAnswer: -(r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 22*y**2 + 4. Suppose 2*d = -c + 6*c + 63, 2*c + 26 = d. What is the units digit of t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 58279, 26, 2, 1 in descending order.\nAnswer: 58279, 26, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12188, -23082, -33976?\nAnswer: -44870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkg when three letters picked without replacement from kkgkkkkkggg.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 14 = -3*c. Let f(a) = a**2 - 5*a - 8. Let i be f(c). Let g(y) = y - 4. What is the units digit of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(19) + sqrt(19))**2 - (0 + sqrt(76)\/sqrt(4))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 6*c**2 + c - c. Let g(n) = 22*n**2. Calculate g(s(v)).\nAnswer: 22*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f**2*p*u - 112*f**2*u - 10*f*p*u wrt p?\nAnswer: -4*f**2*u - 10*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -512 + 1?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68527 + 68526.8. Let s = -54 - -94. Suppose -2*f + 52 = 3*w, -4*f + 0*f = -3*w + s. Are o and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2974553*o - 17847347. What is s(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21977 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 2*i + 0*i + 1. Let b(n) = 2*n - 8. Suppose 0 = 4*r + 3*c - 22, 0 = -r - 3*r + 2*c + 32. Let p be b(r). Let x(v) = -v. What is p*x(k) + u(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -8, -2, -2\/15, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.013 in -0.5, 3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -244 - -424. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + -57. Let l = -185 - -200. Suppose l*m - k = 2216. What is the remainder when m is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(1 - 1 - i) - 2*i + 0 + 0 + 186 + 185 - 370 + 28*i + (0 + 0 - 2)*(1 - i - 1) + 0*i + 3*i - i.\nAnswer: 33*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4371.02 to the nearest ten.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -377*r + 27*r - 530*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1*(-3)\/9). Let s be 62480008\/44 - 2*g\/(-33). Round s to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 4)*(2*h**3 - 5*h**3 + 2*h**3)*(13 - 2 - 4)*(0*h - 4*h + h).\nAnswer: -105*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - 12 - 5*t - 5998*t**3 - 2*t**4 - t**2 + 6006*t**3 to the form v*t**3 + o*t**2 + a*t**4 + d*t + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74\/2145 + 8\/165. Let m be (-2)\/4 - (-2)\/(-4). Is m equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 4\/113, 1\/141?\nAnswer: 4\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 3:31 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277 - -836\/3. Let y(w) be the third derivative of 6*w**2 + 0 + 0*w + 7\/24*w**4 - s*w**3. What is the derivative of y(m) wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1657 + 21543\/13. Sort q, -18, -4, -2\/19, 0.2.\nAnswer: -18, -4, -2\/19, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*b + 3*b. Suppose -b = -5*s + 14. Let y(m) = -12*m - 91. Let o be y(-8). Solve -2*h + s*h = -o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let m(u) = u**2. What is m(v(w))?\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n. Let o(r) = 2*r. Let y(h) = 6*o(h) + 5*z(h). Let m(a) be the first derivative of 110*a**3\/3 + 1916. Determine y(m(u)).\nAnswer: 220*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-322632)\/(-5) + (-6)\/15. Suppose -4*z - 616831 = -5*h, -5*h - c = 3*z + 398106. Let p = z + 228209. Round p to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -24*g**2 - 3*g - 3. Let b be n(2). Let a be b\/(-56)*52\/65. Factor 0*q - 3\/2 + a*q**2.\nAnswer: 3*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 + 5*u + 2. Let h = 75 + -74. Let d(w) = 27*w - 2*w**2 - 60*w + 35*w + h. Give 5*d(l) - 2*s(l).\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728913*v + 10075 = 728510*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 792 = -13*a. Suppose 0 = -l + 3*l + 44. Let q = l + a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 10 (c) -1\/21 (d) 1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (6 - -1 - 4) + (-3 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1030 in -2, -1, 2\/13, -1.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5003 + 5120. Calculate the highest common divisor of 65 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19715\/4 - (1\/(-36) - (-134)\/(-603)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + -4 + (-2 - -3) - -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (638*x - 6 - 647*x + 0)*(2 + 2 - 6) + (-x + 0*x + 0*x)*(2 + 15 - 6) - 2 + 2 + 2*x to the form h*x + z and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 1. Let c be l(-2). Suppose -s = c*s. Suppose w + w = -3*p + 151, s = p - w - 57. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-98)*3\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -22*x + 95. Let p be 10\/(-55) + (-285)\/(-55). What is i(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2919 + -740. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*h - 8 = -3*h, 5*h + 20 = 0. Suppose -q = a*q + 15. Let w = -0.2 - -0.5. What is the second smallest value in -1\/6, w, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y - 32*y - 20 = 0, -2 = b - 2*y for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 8*x**2 + 11. Determine s(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 404*f = -408*f - 12, 4*a + 15 = -5*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 84. Let o be ((-2)\/q)\/((-3)\/(-18)). Let n = 2.03 - 0.03. What is the third biggest value in o, n, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-50)\/(-30))\/((4\/2)\/6). Suppose -c*s = 4*s - 675. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 5. Let g(f) = 12 + 4 + 10*f - 4*f. Let a(l) = -16*d(l) + 5*g(l). Let o(c) = 32*c**2. Calculate o(a(q)).\nAnswer: 128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -91605, -91604, -91603?\n\"Answer: u - 91606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3105 + 3075.14. Round m to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**3 + 2*k**3 - k**3)*(-1415 + 203 - 1698 - 2412) to the form b + o*k**2 + p*k + h*k**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g**3 + 3*g)*(2604*g - 2091*g + 1454*g).\nAnswer: 1967*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z - 14*z)*(-115 + 236 - 93)*(-z**3 + z**3 - z**3).\nAnswer: 252*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13166 - -7392. List the prime factors of j.\nAnswer: 2, 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*b = -20, -26 = 4*l - 58828*b + 58823*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5633*d + 5610*d - 276 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a**(-2\/13))**37 assuming a is positive.\nAnswer: a**(-1184\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 3, w: 4, i: 2, t: 1}. Give prob of sequence tgx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(3\/4)))\/x)**(-2\/23) assuming x is positive.\nAnswer: x**(1\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2509, -6, -46, -1, 4 in increasing order.\nAnswer: -2509, -46, -6, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 0.016 (b) 1 (c) -7\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 0.05. Let l be 1*(0 + 3)\/3. Let w = -0.2 - -0.1. Which is the nearest to f? (a) 2\/23 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((7 - 6) + 0)*24. Suppose -39*t = -w*t - 360. Calculate the lowest common multiple of t and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -9. Calculate the smallest common multiple of 14 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 513313775 - 513313832.99999832. Let i = 58 + a. What is i rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 26*y - 79. Calculate the remainder when d(12) is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 + 2*k + 1. Let q be z(-1). Suppose m = -4*o, -q*o = -o + 2*m + 4. Let g be 1 - 2\/1 - 6\/(-3). Solve -o = s + g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 + 173 - (-9)\/(-9). Let z = 67 + -58. Calculate the highest common divisor of r and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 210*15*30\/100.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297 - 282.9. Does c = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4 + 2. Let t(o) = o - o - 3*o. Let k be t(q). Solve 0 = 5*h + k - 28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2901, 0.4, -0.18, -6?\nAnswer: -2901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s - 141 = -3*w, -4*w - 4 = 0. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(10\/(-70))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -3 + 0*s + 12*s**3 + 9\/2*s**4 + 3\/5*s**5 + 12*s**2. Factor k(a).\nAnswer: 3*a*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -29, -56, -93, -140, -197, -264?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224386040 and 3440?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/9 (b) 5 (c) 0.4 (d) 5\/116 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 1059529?\nAnswer: 1059527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886085 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/14 - (-17)\/(238\/154)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123 + 5?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 143. Let r = f + -117. What is the second biggest value in -1, 5, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171)*-2 + sqrt(171)) - sqrt(171) - sqrt(171))\/sqrt(9) + sqrt(171)\/(sqrt(18)\/sqrt(2)*-4).\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/14)\/((-178)\/(-14) + -13) - 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*q - 10*c + 10, 0 = 5*c. What is the second derivative of -92*f**5 + 3027*f + 7*f**q - 2 - 2995*f wrt f?\nAnswer: -1700*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7962 times -4?\nAnswer: -3.1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 3*q + 3. Let c(g) = -5*g + 0 + 2 + 4*g**2 - 5*g**2 + 3*g. Let y(z) = 3*c(z) - 2*w(z). Let i(x) = -4 + 4 - 3*x**2. Give i(y(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -0.3, -0.16?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/420)\/(252\/(-378)) - (-572)\/(-7)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 18, 3.\nAnswer: -38, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1664 = 5*x + 2*y - 640, 0 = 5*x + 5*y + 1030. Let m = x - -206. Solve -d + 0*d + 14 = -2*a, m*a + 10 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.821532 nanometers?\nAnswer: 0.0000004821532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p + 70 = 27*p. Suppose -10 = -5*w + n + 4*n, -p = -3*w - n. Solve 4*h + 24 = -w*t, 4*h = -t - 10 - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 - 241.117. Round k to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-2 - 11) - (1 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b0ee5 (base 15) in base 12?\nAnswer: 1256038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/49 in -4, -0.3, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 13579.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1728 - 1675. Is 2\/571 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -211, -2\/9, -2, 49 in increasing order.\nAnswer: -211, -2, -2\/9, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*6)\/(sqrt(16)*1 - sqrt(4)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or 2\/1829?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*q + 52 = 0, v - 3*q = 1 + 28. Let b(s) = 2*s**2 - s + 1. Let i be b(1). What is the lowest common multiple of v and 1 + -4 - (i + -17)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.7 - 16. Let h = 1.7 - i. Which is the nearest to -3? (a) h (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-210) - ((-30552)\/(-2160))\/(-19)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 729*w**2 + 1488*w + 60 = 0.\nAnswer: -2, -10\/243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 34256808.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -4.2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a factor of 25309276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Suppose 0 = t*w + 4*g + 90 + 38, -w + 2*g - 26 = 0. Calculate the common denominator of ((-10)\/(-25))\/((-12)\/(-33)) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-16)*(-2)\/5\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99485 is divided by 33158.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 8:08 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10599 - -14553. What is the highest common divisor of 30 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**5 - 55*h**4 + 215*h**3 - 345*h**2 + 180*h.\nAnswer: 5*h*(h - 4)*(h - 3)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + c = -44, 6*u - u - c = 70. What is the remainder when 46 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 + -7 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 24. Let p = o - 19.6. What is the nearest to -1 in 0.1, p, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 20246157?\nAnswer: 13\/20246157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114988 = -5*h - 2*q - 8423, 2*q = 4*h - 85234. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -125 - 95 + 6*p + 186 - 5*p. What is r(0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38699\/10 + 3866. Let j be (-224)\/(-21) + 2\/(-3). Calculate the common denominator of j\/4*120\/(-625) and o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a4 + c?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a + 1. Suppose -n = 2*s - 4 - 3, -4*n + 6 = -3*s. Suppose 4 - s = l. What is the units digit of r(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.52 - -0.02. Let j be (-3 - 0) + 3\/3. Which is the third biggest value? (a) k (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1878759 days to minutes.\nAnswer: 270.541296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 47229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587155?\nAnswer: 5, 317431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 7, s: 1, t: 8}. Give prob of sequence qtt.\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*106)\/(-7 - -9). Suppose -3*f + 17 = g. Let c be (-5)\/2*f\/15. Solve 0 = -c*u + 5*a - 7, 2*u - 6*u - 3*a - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + k - 22933, 12*q - 16*q + 3*k + 22913 = 0. What are the prime factors of q?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528 + -271. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 622.6804 and -0.131.\nAnswer: 622.5494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -41*j. Let k(i) = i**2 + 9*i + 10. Let a be k(-9). Suppose 2*x = -5*r + 3 - 23, 5*r = -a. Is f(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38734525937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 + 14597*l\/3 - 29192\/3.\nAnswer: -(l - 29192)*(l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 9:29 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 4*a)*(2 + 0 + 0) - 2*a - 3 + 3 + 5*a - 2*a - 2*a + (-3 + 3 - 2*a)*(-2 + 0 + 0) + 54 - 4*a - 54 - 2*a + 4*a - 4*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2784 = -5567*x - 6570 - 159168 - 120963 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3350366 - 3350131.9769. Let z = -234 + o. Round z to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v + 12. Let z be (104\/(-65))\/((-1)\/20*1). Suppose v*u - z = 25. Solve -3*x + 7 = u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/4433 and -30\/6851.\nAnswer: 75361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, c: 4, g: 4}. Give prob of picking 2 g.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -171, -1991, -5023, -9267, -14723?\n\"Answer: -606*j**2 - 2*j + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3446267*v*x**3 + 5*v*x**2 + 1809*v + 31*x**2 wrt x?\nAnswer: 20677602*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((0 - 7) + (-19 - -8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13 - 3 + 7*d - 2*d**2 + d**2 - 6. Let j be u(8). Do j and -4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2677921 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9833.6 and -5.\nAnswer: -49168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34797c + -6?\nAnswer: -347984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 0, -5*c = 3*y - 254 - 119. Calculate the least common multiple of y and 44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbupubzwuuu. Give prob of picking 1 z and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 1, z: 4, a: 3, b: 2, f: 4}. Give prob of picking 3 f and 1 b.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 33 - 3. Let v be 2 - a*(-10)\/(-15). Suppose 5*j + 11 = v*j. Solve j = o - 2*z, o + z - 1 = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451700 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5303, -3, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1432, 2878, 4342, 5824?\n\"Answer: 9*u**2 + 1419*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -30631 = -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12862\/(-7021) - 16\/(-136)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66 less than -374?\nAnswer: -372.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32491, 31996, 31507, 31024?\nAnswer: 30547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*w + 4*y, -5*w + 3*y = -140 - 4. Suppose 5*a - a = 1020. Suppose -4*r = -12, 3*b + r = 3*r + a. Calculate the remainder when b is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/47)*x*x)\/x)\/((x*x\/x**(2\/69))\/x))\/(x\/(x\/x**(-19)))**18 assuming x is positive.\nAnswer: x**(1112374\/3243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870583161 to the power of 1\/2, to the nearest integer?\nAnswer: 43250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424006 divided by -5.\nAnswer: -424006\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1016 or 1012?\nAnswer: 1016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56960081?\nAnswer: 17, 19, 176347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-7 + -7)) + 2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1025948 and 1958628.\nAnswer: 21544908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -22 (b) 1 (c) 83 (d) -5289\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkzkbbkkpebmzp. What is prob of picking 1 m and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n + 37. Let d = 1 - n. Suppose 3*r = -0*w - w + 15, -4*r + d = -w. Solve -r*k = -0*k + 4*v - 19, -2*k = -v - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 8*w + 8*w + (5 - 5 + 6*w**5)*(-1 - 4 + 1 + (3 - 1 + 0)*(-2 + 4 - 1) + 1 - 1 - 2).\nAnswer: -25*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 890 + -905.51. Round m to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-470*h**3 - 1 + 65520*h - 131024*h + 65506*h - 8*h**2)*(3 - 7 + 0) to the form x + p*h**3 + d*h**2 + k*h and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14.3661 * -0.07243\nAnswer: 1.040536623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -737212 less than 17036?\nAnswer: 754248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*i = 1, 0 = 2*i + 6 - 0. Let h be (k + -2 + 1)\/(-2). Suppose -57*x + 118 = 61. Solve 0 = 2*c - 4*z + 18, h*z - x = 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30, -5, 41 in decreasing order.\nAnswer: 41, 30, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16638933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96399 is divided by 1691.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15320092 times 2\nAnswer: -30640184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*v + 78, -j - 3*v - 32 = 2*v. Let f = j + 15. Let s be f + 0 - (-28)\/14. Does -6 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 - -2. Let d be ((-99624)\/(-4752) - 21)*8\/(-42). Which is the second smallest value? (a) -0.5 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002184865188 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 - 5. Suppose -3*y = 3*b + 51, 5*y = -504*b + 505*b - 127. What is the third smallest value in j, -0.5, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 13. Let z be a(-11). Suppose n = 4 - z. Suppose 3*y - 73 = -n*s, -2*s - 32 = 5*y - 151. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -703*g - 737*g + 1439*g + 17. Let s(i) = -1. Calculate -j(o) - s(o).\nAnswer: o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54230*r**5*s**3 + 29*r**5 + 2453*r**2*s**3 + 14*r**2 + 4*r*s**3 - 3*r - s**3 + 2*s wrt r?\nAnswer: -3253800*r**2*s**3 + 1740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704493649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 11*n + 78, n + 3*n + 12 = 3*n - 2*q for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*z**3 - 20*z**2 + 2101*z - 3?\nAnswer: -252*z - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*h - 31, 8*h - 11*h - 21 = -l. Suppose -3*i + 68 = j, 8*i - 3*j - l = 6*i. What is the remainder when 104 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 0*h**2 + h**2)*(-h - 3*h + 6*h) + 0*h**3 + h**3 + 0*h**3 + 43 - h**3 - 47 + 3*h**3 to z*h**3 + g + t*h + j*h**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -1011111001100110101?\nAnswer: 1011111001100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1460126 (base 7) to base 6\nAnswer: -4134532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00164509 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -11)*4\/(-48)*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6608700 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -18. Let p = -67.01408998 + 0.01381998. Let q = y - p. Round q to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 1\/8*t**6 + 0*t**3 + 0*t - 5\/8*t**4 + 0 - 1\/70*t**7 + 1\/20*t**5 - 3*t**2. Factor s(g).\nAnswer: -3*g*(g - 5)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 72 - 191 = 400 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 4*h + 9. Let s be z(-5). Let v be (s + -3)*3\/6. Suppose -v = 2*g - 303. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-92 - (-26620)\/275) + (-28)\/10. Suppose -2*x = -5*d - 0*x - 75, -3*d + 5*x = 64. Let c = 18 + d. Solve 0 = -5*z - 5*m + 5, z + c*m = 11 - a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 893 and 2869?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 85*p**3 + 33*p**3 + 42*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2227 is divided by 1096.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13\/6, 1, -0.2, 1.3, -1\/3, 230.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -13. Suppose 6 = -5*s - d, 2 = -2*s - s + d. Which is the second biggest value? (a) n (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5331435 - 24055?\nAnswer: -5355534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*k**3*t**2 + 35*d**2*k**3*t - d**2*k**2*t + 15894*d*k**3*t**2 + 2*d*k**2*t + 3*k**3 + 6*t wrt t.\nAnswer: 2*d**2*k**3 + 31788*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7*a**3 - 6)*(-6*a**2 + 4*a**2 + 5*a**2) + (10 - 2*a**3 - 5 + 3*a**3)*(-24*a**2 + 65*a**2 + 30*a**2).\nAnswer: 50*a**5 + 355*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) - (sqrt(88)*-1 - sqrt(88) - sqrt(88) - sqrt(88))) + -5*(1*sqrt(88) + sqrt(88)))\/(sqrt(16)\/(6*sqrt(2)*2))*3.\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let r(o) = 11 + 16 - 7*o - 15. Let j(a) = -12*a + 22. Let h(z) = -6*j(z) + 11*r(z). Give c(h(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/4)\/((-6)\/(-9)). Suppose -5 = -c - 3*l, -3*c - c - t*l + 38 = 0. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 1318. Let h be t(0). Let i = 1875 + h. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.052158 + 9.059558. Let h = -0.0074 + m. What is the closest to 0 in 1, 0, -2, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 928, 925, 920, 913?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6874026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.94 to one dp.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 48*a - 7. Let k(f) = f**2 + f - 1. What is -i(p) + 6*k(p)?\nAnswer: 2*p**2 - 42*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b - 76. Let d = b + 42. Calculate the highest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 2. Let r = -11 + q. Let z(v) = -2*v**3 - 3*v**2. Let u(m) = -3*m**3 - 4*m**2. Give r*u(l) + 4*z(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**8\/112 + o**5\/30 + o**2\/2 + 2. Let d(h) be the second derivative of l(h). Find the third derivative of d(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288593*a*o**2 - 1834990*a*o + 3*a + 3*o**2 - 2 wrt o.\nAnswer: 577186*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 - -214. What is the remainder when 69 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -25 - g**3 - 21*g + 2*g**3 + 57 - 28 + 4*g**2. Let i be l(-7). What is the units digit of -1*2 - (4 - i - 92)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 95*d**3 - 297570*d**2 - 3190475*d + 1037190 = 0?\nAnswer: -11, 6\/19, 3143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 0.1, -0.2, 0.0508, 2\/55, 27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s - 12. Let z(i) = 6*i - 18. Calculate -8*w(x) + 5*z(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**4 - 2*v**3 - 183 wrt v.\nAnswer: -8*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2834 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -463.1 (b) -2\/13 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 162\/6 + 0 - (-5 - -1). What is the derivative of 107*n**2 + 2*n**3 - b + n**3 - 107*n**2 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9715, -38765, -87169, -154939, -242087?\n\"Answer: -2*c**3 - 9665*c**2 - 41*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from okekeekkeww.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1226055774\/7757263 - 3\/408277. Suppose 158 = -4*c + 5*c. Let a = b + c. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/8, 1\/4, -697, -3\/4, -0.02?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Let r = w - 0. Let g = 5 + -5.3. What is the third biggest value in r, g, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 5, 2.\nAnswer: -7, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*b**2 + 4 - b + 109*b**5 + 128*b**5 + 70*b**2 + 8*b wrt b?\nAnswer: 4740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 4 + sqrt(176) + -5 + 5 + sqrt(176) + -1)**2 + -1.\nAnswer: 72*sqrt(11) + 1592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3\/4 + 23*j**2\/4 - 35*j\/4 + 9\/4 = 0 for j.\nAnswer: -9, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 19*f**2 - 18*f + 4. Let z be 728\/(-40) + 1\/5. Let l be u(z). Solve l - 1 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/3, -33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 - -244. Let n = -121 + o. Let p = 0.3 - 0.2. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*f - 67012 = -66176 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 28*f**2 + 34*f - 26. Let v be g(-26). Suppose -17*r = -4*r - v. What is the remainder when r is divided by ((-12)\/(-5))\/(2\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*j = 225*j + 583 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**30 assuming t is positive.\nAnswer: t**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 divided by 114?\nAnswer: 244\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:34 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 15, -2, -58\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ihhg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 16. Suppose 3*c = -4*z + 29, 8 = 5*z - 3*c - 35. Let m(g) = 3 - 3*g**3 + g**2 - 4 + z*g**3. Calculate m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 43*d**2 - 68*d + 56. Calculate a(23).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9109*o**2 + 9106*o**2 + 9110*o**2 - 80*o**3 + 9106*o**2 - 36431*o**2.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -454 or 145?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 814827 and 1326.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14545 + -6445. Suppose a = -5*h + 8*h. Suppose 0 = -5*k - 625 + h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31060 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96757 + 0.3.\nAnswer: -96756.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 - 1. Suppose 1378 + 494 = -9*p. Let o = 206 + p. Let d(r) = -r**2 - 1. What is o*a(u) + 2*d(u)?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -329 - -599. Suppose 28*b = 23*b + u. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**2 - 84 + 29 + 27 + 11 + 23*y + 19 to the form k*y + z + r*y**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-35))\/1 - 42\/105. What is the closest to -2\/7 in -1, s, 4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -4*y - 50. Let d be 26\/y - (-20)\/50. What is the units digit of -2 + (-2 + d)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 82761822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 divided by 23024?\nAnswer: 3087\/23024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(8\/(768\/90)). Which is the second biggest value? (a) i (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15951.01 + -15950. Which is smaller: -1\/14 or l?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 5*b - 3. Suppose 2*s - 25 - 105 = 0. Calculate the remainder when s is divided by i(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(1*sqrt(21)\/sqrt(3) + (sqrt(63)\/(sqrt(27)\/sqrt(3)))**2).\nAnswer: -29 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)\/(sqrt(40)\/sqrt(4)))\/(sqrt(567) + sqrt(7)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(4 + -6*(sqrt(684) - (sqrt(684) + 2)) + 1)*-2)**2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:42 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.7, 0.4, -1\/5, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.69 (b) 6\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 166397?\nAnswer: 166397.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 9.894?\nAnswer: -1.9788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6244325166 rounded to four decimal places?\nAnswer: 0.6244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 618\/7 - 24088\/273. Put t, 1, -1, 5 in decreasing order.\nAnswer: 5, 1, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 87.29035mm?\nAnswer: 8.729035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 5. Let j(s) = 3*s**2 - s - 1. Give -3*j(m) - v(m).\nAnswer: -9*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6)\/((-2)\/(-16)). Let j(m) = -m**3 - 4*m**2 + 2. Let z be j(i). Solve -z*q - 4 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 - 6 = 0. Let l = 11 - u. Solve -3*f = -4 + l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*q - 56*q - 147*q + 4*q + 20*q to m*q + u and give m.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = f, f + 0 = -q + 1. Let n be (-3 - q)*6\/4. Do n and -3\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 204 and 640.\nAnswer: 130560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140561.200165 - -140562. Let m = 0.8 - k. What is m rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31235639 and 67811.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {n: 5, z: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0184919 * 18.\nAnswer: -0.3328542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 5, -5, 11, 356, -1 in decreasing order.\nAnswer: 356, 11, 5, 2, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33267\/22 + 1514. Let g(r) = -12*r**2 + 5*r - 16. Let p be g(-12). Let s = 14349\/8 + p. Calculate the common denominator of f and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1819*s**3 + 19*s**2 - s + 386. Let a be t(-26). Round a to the nearest one hundred thousand.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2052 divided by -15.\nAnswer: -684\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/9727 - -87547\/19454. Factor -o*i**3 - 3\/4*i**4 - 15\/2*i - 9\/4 - 9*i**2.\nAnswer: -3*(i + 1)**3*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12888*d + 6466*d + 6448*d)*(2 - 2 + 4*d**2)*(0*d + 0*d + 3*d).\nAnswer: 312*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o - 5 = 0. Suppose -3*n = -2*n - 3*d + 7, -5 = n - d. What is the nearest to -1\/2 in o, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 3328.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396) - (sqrt(396) + sqrt(396)*2) - sqrt(110)\/(sqrt(640) - sqrt(10))).\nAnswer: -85*sqrt(11)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - 3*v)*(1 - 6 + 3)*(-4 + 5 + 2).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7920) + sqrt(7920)*1)*2)\/(sqrt(110)\/(-4*sqrt(360))).\nAnswer: -1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -5*i**4\/8 - 2*i**3 - 9*i**2\/4 - i + 35. Solve c(y) = 0 for y.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -11, 15, 49, 91, 141?\n\"Answer: 4*o**2 + 6*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 25, 17, -9, -59, -139, -255?\n\"Answer: -o**3 + 11*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1998*m - 6995*m - 6*m**2 + m**2 + 3*m**2 - 7446*m.\nAnswer: -2*m**2 - 16439*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 23737 = 2*c, -4*c + 65456 - 17972 = -4*u. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1701894*g**3*s*v + 126*g**3*s + 22*g**2*s*v - 9*g**2 + 2*g*s + 3*s + 1004 wrt v?\nAnswer: -1701894*g**3*s + 22*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/7)\/(6\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z - 3*k - 24, 3*k - 18 = 4*z. Let a be (-4 - 5)\/(3\/(-2)). Let s(o) = -6*o + 4*o + o + a. Let x(b) = b - 5. Calculate z*s(w) - 7*x(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1503 + 6059. What are the prime factors of q?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let s be k(-1). Let x be (2\/5)\/(6\/60). Suppose -x*b + 60 = -s*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67128034549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 527944441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 828000.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 813354 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264788 is divided by 917.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17150059 to the power of 1\/2, to the nearest integer?\nAnswer: 4141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24.15 times -155774\nAnswer: 3761942.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11053279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -34, -42, -52, -64, -78, -94?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -24*j**4 - 62*j**3 - 18*j**2 - j - 40. Let p(k) = -2*k**4 - 3*k. Let d(b) = 2*m(b) - 58*p(b). Factor d(r).\nAnswer: 4*(r - 1)**3*(17*r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523141 = -13332*a + 1250015 for a.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 + 138c?\nAnswer: 13b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence non when three letters picked without replacement from {n: 5, q: 1, c: 2, o: 8}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -843663 and 185638?\nAnswer: 1029301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 2*h - 1. Let x(s) = s**2 + 2*s - 2. Let g(z) = -5*x(z) + 4*y(z). Determine g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:07 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62392456387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2093, 8463, 19105, 34025, 53229, 76723, 104513, 136605?\n\"Answer: n**3 + 2130*n**2 - 27*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iliiigligiiggr. What is prob of picking 1 r and 2 l?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**2*g**3*o**3 - 2*c**2*g**2*o**2 + 2*c**2*o**2 - 5022*c*g**3*o**3 - 93*c*g**2*o**2 - 23*c*o**3 - 2*g**2*o wrt g.\nAnswer: 30*c**2*o**3 - 30132*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let h(v) be the first derivative of -6*v**3 + v**2\/2 - 6. What is h(s(u))?\nAnswer: -18*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**7\/4620 + 2*g**6\/495 - g**5\/60 - 3*g**4\/22 - 94*g**3\/3 + 128. Let f(v) be the third derivative of n(v). Solve f(s) = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*u = 367*u + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (0 - 0) + -15. Let k be (2\/b)\/((-2)\/(-4)). Let w = 116 - 116. What is the closest to k in -5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a (base 13) to base 5.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - ((6 - 1) + -16)) + -16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s. Let w(q) = -6*q - 10*q**2 - q**3 - 9*q - 10 + 5*q. Let p be w(-9). Let z be g(p). Solve 0 = -d - l + 3 - 0, -z*d = l - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/1)\/(1\/(-4)). Suppose -3*p + p + 6 = 0. Suppose 3*d = -i*g + p*g + 604, -d + 2*g + 213 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 5*j + 21 = -46*y, -17 = -5*y - 3*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 11*u**6\/120 - 4*u**3\/3 + 5*u**2 + 7*u. Let z(w) be the first derivative of f(w). Find the first derivative of z(k) wrt k.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*y - 306*y - 24010 = -5845 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b + 1028 - 1028 + 25*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7697*k**2 - 3823*k**2 + 21*k - 3841*k**2 to y + g*k**2 + n*k and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:54 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 24067?\nAnswer: -24061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/m)**(-2\/13)\/(m**(-2\/5)\/m)**(1\/29) assuming m is positive.\nAnswer: m**(2411\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 15\/4*w**3 + 0*w - 21\/4*w**4 + 3\/2*w**2.\nAnswer: -3*w**2*(w - 1)*(7*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683903363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75214 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46348 - 46348. Factor -9\/7*b - 18\/7*b**4 - 36\/7*b**3 - 3\/7*b**5 + v - 30\/7*b**2.\nAnswer: -3*b*(b + 1)**3*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180409996.\nAnswer: 2, 3, 181700833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 7}. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 450458, 450653, 450848?\n\"Answer: 195*n + 450263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + 1*(sqrt(325) + 0 + sqrt(325)))**2.\nAnswer: -180*sqrt(13) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/((z*z**(-3\/2)*z)\/z)))*z**(6\/17))\/(z**(-15\/2)\/(z\/z**(-1\/52)*z)) assuming z is positive.\nAnswer: z**(10053\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100372541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202011100 - 11?\nAnswer: -1202011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 24*r + 19. Let b be y(14). Is b > -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 125*r**2 + 1949*r + 18. What are the prime factors of s(-19)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63098 rounded to the nearest one thousand?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -7*i + 46. Let k(t) = -i*t**2 + 48*t**2 - 13*t**2 - 14*t**2. Let v(m) be the first derivative of -39*m**2\/2 + 2. Determine k(v(y)).\nAnswer: -3042*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2336 and 3?\nAnswer: 7008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68081265 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-268 + 42*s + s**2 - 3*s**2 + 270)*(0 + 0 + 2*s).\nAnswer: -4*s**3 + 84*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932656 is divided by 310881.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 11*d**2 - 11*d + 34*d**2 - 46*d**2 to the form s + t*d + a*d**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 6, b: 3, l: 3}. Give prob of picking 1 b and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 0*l**2 + 5\/4*l**4 - 1 + 3*l + 0*l**3. Differentiate y(p) with respect to p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -428*f**2 + 397*f**2 + 7 - 5*f + 3*f to d*f**2 + y + o*f and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 + y. Let h be v(-1). Suppose 2*t = -2*r + h*r - 342, 3*r + 5*t = 250. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8288*o**2 - 12*o - 6. Let g(n) = -n**2 + 2*n + 1. Determine 6*g(a) + q(a).\nAnswer: -8294*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10*g - 10 = 0. Solve 0*n + 5*n - g*t = -9, -5*t + 12 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*o = 127389, 203*o - 101912 = -4*i + 205*o. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -9, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -4 + 0 + (7 - (8 - -27)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 30004.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 + -0.1. Let f = r + 0.12. What is f rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**3 + 53*j - 5. Let g(i) = -6*i**3 + 53*i - 6. Give 6*g(w) - 7*s(w).\nAnswer: -w**3 - 53*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/5 - 5*g**4\/12 + 29*g**2. What is the second derivative of a(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 289, 1027, 2217, 3865, 5977?\n\"Answer: b**3 + 220*b**2 + 71*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4684*3.\nAnswer: 1.4052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5519159 (base 11) in base 2?\nAnswer: 100100111101101100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(95 + 9) + 4316\/32. What is the highest common factor of i and 3942?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 22*u**3\/9 - 836810*u**2\/9 - 3499756*u\/9 - 608656\/9 = 0.\nAnswer: -4, -2\/11, 38041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**5\/20 - 5*p**4\/12 + 2*p**3\/3 + 10*p**2 - p - 61. Is 40 a factor of i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 0.154?\nAnswer: 5.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087162678 rounded to 5 decimal places?\nAnswer: -0.08716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 9*d**2 - 9*d - 4. Determine w(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + -1 + 1\/1 - -1102. What is the highest common divisor of 6279 and t?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*o**2 + 196*o**2 + 175*o**2.\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 42*x + 16. Let d be 7\/7 + (-8)\/(2\/(-1)). What is the units digit of p(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*m + 15 + 4, 9 = -3*m. Let a(i) = -i**2 + 8*i - 5. Let n be a(p). Suppose n*l - 4 = 2. Solve 6*h = 4*x + l*h + 22, h = x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.87484 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**2 + 29*v**2 - 62*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1970\/1519 - -75\/31. What is the common denominator of j and 21\/16?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 3, -2, 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 130 + 43. Let x = k - 20. What is the remainder when 35 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 0, 2*b + 663 = -7*y + 8*y. What are the prime factors of y?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -5, 2, -0.7, -3\/4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from wvwvwvwwwvbwbwwvwww?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 2*v**2 - v**2 + (4 + 435*v - 730*v - 5)*(2*v - 3*v + 2*v).\nAnswer: -294*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 1, 3\/32, -7\/2 in descending order.\nAnswer: 1, 3\/32, -0.3, -1, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*p**3 + 0*p + p + p - 2*p**2.\nAnswer: 134*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32241 - 21809. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 7485958*c - 14009891794441.\nAnswer: -(c + 3742979)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*v + 23 + 11, 3*v = 4*g - 29. Suppose a = -4, 2*d + 0*a - g*a = 10. Let y(n) = 2*n - 1 - 2 - 2 - n. Give y(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by ((-30)\/4)\/((-2)\/(-4) - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 3*d - 10 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/((-3)\/8). Suppose -4*x = -v*q + 16, -x - 8 + 2 = -2*q. Suppose 4*t - 2 = -g, -3*g = 3*t - q*t - 61. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -11359*m**5\/60 - 10885*m**4\/24 - 4373*m**2 + 2. Find the second derivative of w(c) wrt c.\nAnswer: -22718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -4*o + 29. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -139.\nAnswer: 5\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**4 + 746735*h**3 - 60*h**2 - 8960900*h - 11947760 = 0.\nAnswer: -149347, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkhewkkkwhkkkkkkkkx. What is prob of sequence xww?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5926.79652 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 623*n**2*q**6 + n**2 + 2*n*q**6 - 203*q**2 + 2 wrt q.\nAnswer: 74760*n**2*q**3 + 240*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1071.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 39 = 5*n, -5*n + 18 - 3 = 0. What is the remainder when 179 + h\/(-6) + 2 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26150, -5, 6 in increasing order.\nAnswer: -5, 6, 26150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7122 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3867150 or -3867154?\nAnswer: -3867150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 7. Let l = 3 - t. Sort 0, l, 2 in increasing order.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = l, l - 22 = -14*w + 10*w. Factor 31\/2*c**l + 0 - 2*c - 8*c**4 - 28*c**3.\nAnswer: -c*(c + 4)*(4*c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20120101 (base 3) in base 4?\nAnswer: -1022311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 671 = 4*n + 4*c, 4*n = -5*c - 535. Let d be (4 + 0)\/(5 + -6) + -62. Let j = d - n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2224 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.059 - -0.241. Let y = -21 + 34. Let k = y + -13.5. Put w, k, -2 in descending order.\nAnswer: w, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/9)\/((x\/x**4)\/x)*(x*x*x**6*x*x)\/(x\/((x**1*x*x*x)\/x*x))*((x**(-1\/2))**(-2\/11))**(11\/5) assuming x is positive.\nAnswer: x**(779\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 0*p + 0*p. Let z(b) = -6*b + 2. Let r be (26\/(-130))\/(((-4)\/(-10))\/(-2)). What is r*z(y) - 5*m(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - 33. Let u = r - -45. Determine c so that -7 + 1 + 8*c**3 + u + 8*c**2 - 8*c + 2*c**4 - 4*c**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -170. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927918454.\nAnswer: 2, 71, 1721, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20.2. What is the nearest to 1 in -0.1, -0.07, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, u: 1, b: 5}. What is prob of picking 1 b and 1 u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1087700902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*t = 91*t - 40. Which is the second smallest value? (a) t (b) 0.14 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:15 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 47 + 20*v)*(0*v + 3*v + 4*v)*(1 - 1 - v**3).\nAnswer: -140*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*y - 2196 = 0, 0*y - 2*y + 3695 = 5*w. Suppose -5*z + w - 3232 = 5*l, 4*z + 2494 = -5*l. Round l to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -6. What is the common denominator of 109\/2*p\/(-70) and (2\/10)\/(154\/(-715))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -5*p + 3*l, 1 = -3*p - 2*l. Suppose 6*x = p*x + 36. Let y be (-27)\/(-6)*x\/9. Solve 0 = -4*i + 2 + y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17157 and -0.4.\nAnswer: -6862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 9*h + 7*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0575 to three dps.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 4. Let q(f) = -9*f - 13. Give 2*q(o) - 7*x(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 + 0)*(1 - 1 + g) + 0*g + 2*g - g - 2*g + 0*g + g - 2*g + g + 0*g)*(1 + 4 - 3).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 8360889*s**2\/4 + 17476112037135*s\/4 + 17476120398025\/4.\nAnswer: (s - 4180445)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 813 - 494. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/16, 0.5, 6\/7, 7, -664, -1\/7?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, s: 6, f: 4}. What is prob of sequence jff?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 88 = 5*p, w = -p - p + 30. Solve -14*g = 2 + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c - 3*c)*(-7 + 7 - c)*(-4 - 3 + 0).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*k + 22012 = 0, -3*i + 2*k - 9280 + 75272 = 0. What is i rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7281482263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 6*s**2 + 4*s + 4. Let l be u(6). Let t = 402 - l. Suppose -t - 24 = -2*p. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363573\/12 + -1 - -1 - (-48)\/(-64) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = -0. Suppose -4*n - 24 = 5*y, 5*y - j*n + 14 = -3. Let s be 2\/((-1)\/((-10)\/(-4))). Is y greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/27)*k)\/(k*k\/(k*(k\/(k\/(k\/(k*k*k*k*k**(12\/13)*k))*k)*k)\/k*k)))\/((k\/(k**(3\/2)\/k*k))\/((k*k**(3\/7))\/k)))**(1\/5) assuming k is positive.\nAnswer: k**(-3853\/4914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d - 6. Suppose -15 = -3*o + 3*g, -5 = -5*o + 3*g + 14. Let q be (-5)\/o*(0 + 5 + -7). What is r(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274 + 320. Suppose h = -5*m - 579. Is -124 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -111, 3\/2, 2\/5, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6343899 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*v**3)*(2*v**2 + 0*v + 0*v) - 81*v**3 + 6*v**5 - 4*v**5 + 40*v**3 - 1 + v**5 - 3*v**5 + 0*v**5 + (-v**3 - v**3 + v**3)*(3*v**2 - 1 + 1).\nAnswer: -11*v**5 - 41*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079346693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 34 = 5*g. Suppose 0 = g*l + 2 + 1, -490 = -4*c - 2*l. Suppose c*o - 127*o = -200. What is the greatest common divisor of o and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:24 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -112213 or -111940?\nAnswer: -111940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 15*r - 21. Let m(i) = i**2 + 8*i - 11. Let o(x) = -11*m(x) + 6*s(x). Suppose 15 = 5*p + 35. What is o(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2401, -148, -2697, -5246?\nAnswer: -7795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.0013908, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/9 - 43*-1. Suppose 0 = -5*h - 11 + a. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*p**5 + 2*p**3 - 28*p**2 + 13*p wrt p?\nAnswer: -3540*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6598, 39715, 94910, 172183?\n\"Answer: 11039*u**2 - 4441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbubbbsbubububbusbb.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*-3)\/(sqrt(7) - (-2*sqrt(49))\/sqrt(7)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -50*s**3 + 11*s**2 + 5*s - 5. Let t = 340 + -335. Let a(b) = -b**3 + b**2 + b - 1. Let w(h) = t*a(h) - n(h). Find the third derivative of w(o) wrt o.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)*m**(2\/9)*m*m**(1\/5)*m*m*m**(2\/5)*m assuming m is positive.\nAnswer: m**(-278\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwfwwwffwwfwwwwfwwww. What is prob of picking 2 w and 2 f?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = 2*b - 26*c, 0 = 5*c - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46053 and 3096?\nAnswer: 368424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/8)\/((-1)\/42). Let m = d + 33. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 106*b - 1453. Calculate the remainder when 80 is divided by a(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91828214 - 91828245.5944652. Let r = a - -28.59447. Let h = r - -3. Round h to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 2*l - 43)*(867 - 867 + l**2 - 27*l) - 3*l**3 + 4*l**3 + 2*l**3.\nAnswer: l**3 + 54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/8)\/((-252)\/1008). Put -124, 0, s in descending order.\nAnswer: s, 0, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462663, -925380, -1388097, -1850814?\nAnswer: -2313531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. What is the third smallest value in 1\/5, t, 0.11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/9))\/(b*b*b*b*(b**(7\/4)*b)\/b*b))\/(b*b*b**(-24))**48 assuming b is positive.\nAnswer: b**(37817\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1560 (b) -2\/17 (c) 0.3 (d) -1 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(1584) + 0)**2 + 2.\nAnswer: 24*sqrt(11) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -25*p - 45. Give d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -49*f**3 + 5*f**2 - 5. Let k(h) = -25*h**3 + 3*h**2 - 3. Give 5*k(i) - 3*x(i).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -464 - -464.7. Which is the nearest to t? (a) 0.3 (b) -1\/2 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k**2 + 53745599. Let b be a(0). Suppose 121287340 - 86598484 = 7*w - 112630337. Let s = w - b. What is s rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21863, -21878, -21903, -21938, -21983, -22038, -22103?\n\"Answer: -5*l**2 - 21858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/22 (b) -12 (c) -0.3 (d) 0.5 (e) 12\/11 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 277 (b) -3\/4 (c) -5 (d) -13\/7 (e) 0.3 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8054778\/(-11950) - 1\/(-25). Which is bigger: t or -673?\nAnswer: -673","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -17489100\nAnswer: 17489100.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -12739\/6, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.726 in 2, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w + 12. Let b = w - -9. Solve 0*v + 6 = -2*v + o, -b*o = 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 79*h - 12. Determine w(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5 + 0*u - 2*u + 3*u. Let k be o(6). Which is smaller: 1\/2 or k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/5, 3, 1\/9 in descending order.\nAnswer: 3, 1\/9, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44824368 rounded to 3 dps?\nAnswer: 0.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2. Let b(w) = w**2 + 2*w. Let y(l) = -5*l - 6*l - 3*l**2 - 3*l**2. Let u(g) = 11*b(g) + 2*y(g). Give u(n(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 31*f - 17*f)*(69*f**4 - 43*f**4 - 36*f**4).\nAnswer: 410*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 3*y**4\/4 + y**3\/3 - y**2\/2 + 3*y + 30. Let n be x(3). Suppose 4*b - n = -b. What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 + 122046*o\/7 + 1241268843\/7.\nAnswer: 3*(o + 20341)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 4. Let h be w(15). Suppose -h = -i + 4*d, 0 = -3*d - 0*d - 6. Suppose -3*j = -2*q - q - 4389, 0 = -i*j - 4*q + 4403. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 19*w - 61. What is i(-21)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -19*s**2 - 263*s + 17. What is the lowest common multiple of 24 and j(-13)?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 1207*q + 3612 = 0. What is q?\nAnswer: 3, 1204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -17*k**4\/12 + 419*k. Let r(o) = 3*o - 5. Calculate v(r(z)).\nAnswer: -153*z**2 + 510*z - 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-20))\/(46\/((-4416)\/180))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -0.02. Let p = 0 - j. Which is the smallest value? (a) -1\/4 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 167*l**6\/5 - 3413*l**5\/60 - 779*l**2. Find the third derivative of f(w) wrt w.\nAnswer: 24048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3173.3625 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -h - 3*x, -119*h = -121*h - 5*x + 31 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:43 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 2*x + 8. Suppose -x*n = 2 - 0. Let h = 2 + n. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8232, -33792, -76682, -136902, -214452, -309332, -421542?\n\"Answer: -8665*n**2 + 435*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45, 53.3153, 3\/7?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.031 and -383567.97591?\nAnswer: 383568.00691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrr. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -91*f**3 - 11*f**2 - 3*f + 138. Let w(z) = 31*z**3 + 4*z**2 + z - 46. Let q(b) = -4*v(b) - 11*w(b). Differentiate q(l) with respect to l.\nAnswer: 69*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 4 + (-6 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Suppose -b*m = -6*m + 4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**3 - 6*k - 6*k**3 - 5 + 9*k**2 - 6. Suppose -8*z + 4*z + 32 = 0. What is n(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 39730413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 + 5*m - 7. Let v(j) = -j**2 - 1. Let h(c) = -l(c) + 5*v(c). Determine h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-2\/15))**(-2) assuming a is positive.\nAnswer: a**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 53282.2?\nAnswer: 639386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 60114956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-9))\/1*(-10)\/25\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2. Let z(c) = 12079*c + 47. Let p(r) = -755*r - 3. Let t(i) = 47*p(i) + 3*z(i). What is d(t(l))?\nAnswer: -1131008*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 100*g**2 - 55*g + 55. Let q(j) = 11*j**2 - 6*j + 6. Suppose -4*w + 2*b + 214 = 0, 102 = 3*w + 3*b - 72. Calculate w*q(c) - 6*z(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - 2*n**3 + 2*n**3 + (3*n + 0*n - 2*n)*(n**2 + 7*n**2 + 3*n**2) to w*n + z*n**2 + h + m*n**3 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.06, -1.149327, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*j - 7, -5*o = 2*j + 25. Let d be (6\/20)\/(o\/(-4)). What is the nearest to d in -0.4, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 4, 41, 5, 3, 2.\nAnswer: -3, 2, 3, 4, 5, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 28 = 133. Let f = 1539 + -1495. Let t(h) = -f*h + 27*h**2 + 34*h**2 - 56*h**2 - 47*h + 97*h. Let j(n) = 30*n**2 + 35*n. Give v*t(i) + 6*j(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 346*q**3 + 5*q**4 - 40 - 20*q - 16*q**4 + 116*q**4 + 79*q**3 + 430*q**2 = 0.\nAnswer: -2, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y + 23. Let n be u(-4). Suppose 10*w - 7 = 5*o + 11*w, -2*o + n*w - 13 = 0. What is the units digit of ((-632 - o)\/10)\/(1*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02459621858 to six dps.\nAnswer: 0.024596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413112 and 7672?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2870)\/(-20))\/7)\/(((-3)\/6)\/(12\/12))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/4355 + 8731\/30485. What is the closest to s in 17\/3, -3, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1)*s*s)**41\/((s**1*s)\/(s**(-14\/9)\/s)) assuming s is positive.\nAnswer: s**(1066\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -41*c + 67. Determine b(0).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, 4, -1 in decreasing order.\nAnswer: 16, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 + 43*p**3\/4 - 161*p**2\/4 + 197*p\/4 - 39\/2.\nAnswer: -(p - 39)*(p - 2)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1306040 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 2. Let c(o) = -1. Suppose -5*f + 7 = 12. Let z(w) = f*g(w) - 2*c(w). Let s(i) = -4*i**2. Give s(z(y)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -179\/3. Factor 4\/9*q + h + 2\/9*q**4 - 4\/9*q**3 - 8\/9*q**2.\nAnswer: 2*(q - 3)*(q - 1)*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113959259*f - 174158563 wrt f?\nAnswer: -113959259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618079 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1497208, -2994411, -4491614?\nAnswer: -5988817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10766 - 2*a - 3*a**2 + 7191 - 4164 + (0*a + 3*a - 4*a)*(4*a - 2*a + 0*a).\nAnswer: -5*a**2 - 2*a + 13793","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2125.7 in 0.2, -6, 1, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101111001 + -11?\nAnswer: -1100101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 527?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uddgk. Give prob of sequence kdu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*d = 10534, -324*d + 320*d = 4*a - 14044. Is 3512 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6706 divide 878204112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 40580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/120 - 17*m**5\/60 - 35*m**4\/24 + 5*m**3\/3 - 26*m**2. Calculate the remainder when i(-17) is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Let n = -4 + h. Let u(z) = -2*z - n - 3 - 3 + 7*z. Let p(d) = d - 1. Determine -6*p(l) + u(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21140 is divided by 1849?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -9\/2*g**2 - g + 1\/3*g**3 - 5. What is t(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-3)*1\/(14\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-924)\/6160*32\/42*5*1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2268\/143766*(-224)\/(-288)?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2172*c**4 - 12956*c**3 + 25608*c**2 - 16464*c - 608 = 0.\nAnswer: -19\/543, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**3 + 4*l**3 - 49*l**2 + 10*l**3.\nAnswer: l**3 - 49*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(sqrt(225)\/(sqrt(5)*3))\/(sqrt(81)*-5))**2.\nAnswer: 136\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*a = 4*a + 132, -5*p + 640 = -5*a. Suppose -m = m - p. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 + 2*i + 4 - 9 + 4 + 0 in the form b + y*i**2 + q*i and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 49\/120*k**6 + 0 + 0*k**3 + k**2 + 7\/24*k**4 - 1\/15*k**5 + 9*k. Find the third derivative of c(q) wrt q.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 814 and 14045306?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 - c**2\/2 - 1591*c. Let h(w) = -w**2 - 2. Calculate -3*h(z) + 6*o(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 3. Suppose -54 = -20*b + 66. Calculate y(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (719 - 1371 + 380)*(-1 + 0 - 1)*(-1 + 2 - g + 1) in the form d*g + v and give d.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20201 - 101011210?\nAnswer: -101102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080318 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/25)\/(((-75383)\/(-3630))\/623).\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -223?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-5) + (-1952)\/(-10)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11184.13 days?\nAnswer: 268419.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9966, -21608, -33250, -44892, -56534?\n\"Answer: -11642*l + 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14121 is divided by 925.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**3 + 35*g**2 - g - 1. Calculate q(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 18 = 5*w, 3*w + 49 = -3*u + 31 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (-1 + (sqrt(162) - sqrt(162)*2))*-1 + 1 + 2 + -4))**2.\nAnswer: 72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p + 4 = 2*d, 3*p + 3*d - 24 = 0. Find the second derivative of 2*x - x + p*x**4 - 4*x**4 + 4*x**4 wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 2*u**2 + u + (0*u + 0*u - 2*u)*(4 - 2*u - 4) - 357*u**2 - 91540*u + 91540*u.\nAnswer: -351*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -1, -3, 4, 35 in decreasing order.\nAnswer: 35, 4, -1, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 15, 17, 15, 9?\n\"Answer: -2*s**2 + 12*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*k - 2524*k + 38984 = 0 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 671*j + 17. Let i be t(13). Suppose 0*f = -5*f + i. Calculate the common denominator of 15\/4 and (-2)\/(-13) + f\/(-208).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144.7 - -122.7. Let p = 364692369.4 + -364692347.399999672. Let f = p + l. What is f rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49901?\nAnswer: 139, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**14)**(2\/39)*(f**8)**(7\/5) assuming f is positive.\nAnswer: f**(2324\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7846168)\/(-33)*162\/4. Let u = r + 4370612. What is u rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from pnopjjojn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 12*s**2 + 6*s + 20.\nAnswer: 2*(s - 5)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 22 = 15*s + 5*n, 2*s - 14 = 3*n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.26.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*m + 31 = -263*m + 2*w + 17, -12*w - 6 = -3*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 9) to base 8\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 - 0.1034.\nAnswer: -0.0834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050206223 rounded to five decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2467 (base 9) to base 15\nAnswer: -82d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44800 (base 9) in base 3?\nAnswer: -1111220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/5 + 74*h\/5 + 272 = 0. Calculate h.\nAnswer: -40, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/(-40) + 2 + 1551\/(-7304) and -133\/996.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2181 - 3579 = 437*y + 7170 + 8483 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 18*n - 443. Calculate t(10).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 24. Let t be 5\/k*(-8)\/10. Solve -12 = 4*s + y + 5, -t*y - 14 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 (base 5) to base 6\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*s + 60*s - 84 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 2, q: 2}. What is prob of sequence ppq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41014744.\nAnswer: 2, 17, 301579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.836 + -429.836. Let w = -438 - p. Let a = -13 + 8. Put a, -4\/3, w in decreasing order.\nAnswer: -4\/3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*x - 4378 = 0, 4*q + 5*x + 97 = 4479. Does 99 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-54)*51)\/(15\/(-180)). Are -2994\/11 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + 3*(-21)\/7. Solve w*c = 8*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -139*z**7\/42 + 13*z**4\/4 - 36*z - 2. Find the third derivative of u(f) wrt f.\nAnswer: -8340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4251, 4255, 4261, 4269, 4279, 4291, 4305?\n\"Answer: j**2 + j + 4249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 27*g**4\/7 + 24*g**3\/7 + 8*g**2\/7 - 17*g. What is s in n(s) = 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:52 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a - 9*a - 15*a)*(38*a + 34 - 37*a - 14) to the form l + w*a**2 + c*a and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31827 and -8264384.\nAnswer: -8232557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 159*s - 53*s + 9*s**2 - 51*s - 52*s - 18 - s**3. What is r(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32009, -128030, -288077, -512150, -800249, -1152374, -1568525?\n\"Answer: -32013*x**2 + 18*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 - -20.6. Let t = c - 17.999988. Round t to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 10*p + 2122 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36159.\nAnswer: 3, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 32. Let v be b(15). Suppose v*y = h + 3*y - 869, -y - 869 = -h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 0*n + n + (-4 + 2 + 3)*(-1 + n + 1) + 2*n + 0*n + 0*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)*z)\/(z*z*z\/z**8))**48 assuming z is positive.\nAnswer: z**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -80901253 * -0.06\nAnswer: 4854075.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x + 1. Calculate the remainder when ((-57)\/(-5))\/(1\/5) is divided by i(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3 - 95875*h**2 + 5573365*h - 80874765 = 0.\nAnswer: -19233, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + 5*o. Let d(c) = 9*c**3 - c**2 - 13*c. Let q(j) = 8*a(j) + 3*d(j). Give q(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3 in ascending order.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 20*g**2 - 20*g + 22. Let b = -4 - -8. What is the remainder when b is divided by k(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, 3069, -3, 23 in increasing order.\nAnswer: -18, -3, 5, 23, 3069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6 (b) -0.4 (c) 28 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 3*k**2 - 3*k + 6. Let j be ((-6)\/10)\/((-13)\/65). Let f(y) = y**3 - 4*y**2 + 5*y - 2. Let u be f(j). Give n(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, l: 3, q: 1, a: 3}. What is prob of sequence klal?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 7*w + 12. Let u be f(9). Let m(r) = -r**2 - 8*r - 4. Calculate the least common multiple of m(u) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 27. Give d(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110301030 + 13?\nAnswer: -110301011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131\/3 in -0.5, 3, 1\/13, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d = 92*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5 - 2 + 5 - o + 10. Let v = 1 - -3. Calculate the remainder when q(7) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -42. Solve 0 = t + i*a - 15, 4*a = -5*t + a + 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 6, o: 11}. Give prob of picking 1 r, 1 o, and 1 w.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33.8 or -8?\nAnswer: -33.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000326392 to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 396*s**4 - 193*s**4 - 499 + 408*s**4 + 327*s**4 wrt s?\nAnswer: 3752*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6899 - 2032?\nAnswer: -8931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 908*r**2 + 153446*r - 1015. Give d(-169).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 12:52 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -38, -4, -0.02, -20, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 5*p + 6. Let u be w(-6). Suppose 3*a + u = 6. Suppose 6 = a*t, -7 = 3*c - 5*t - 79. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17144178869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36886 = 57*y + 10267. Calculate the remainder when y is divided by 103.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.6, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.44908 - 0.45. What is v rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 6:07 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*b = 622*b - 5673931 + 393101. What are the prime factors of b?\nAnswer: 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266.500001111 + 266.5. Round y to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + a)*(2*a + 0*a - 4*a) + (-32 + 26 + 27)*(-2 + 2*a**2 + 2).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 336\/(-32)*44\/3. What is m rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*r - 3, 34 = 4*k + 3*r + 2*r. Let f(v) = v**2 + v + 121. Let i be f(0). Calculate the greatest common factor of i and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 76 = -14*a, -a = -31*d + 28*d + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 98 = -3*w, 27 = -p + 2*w - 0*w. Let n = p - -26. Let y be 4\/14 - 33\/(-7). Solve -n = -2*u - 4*v + 13, 16 = y*u + 2*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffpjfnupuuf. Give prob of picking 3 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147880509 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 20201?\nAnswer: -21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/108*(-1)\/3*(-20)\/6?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*o - o + 603, -3*o - 3*g = -357. Suppose 3*d = 2*t + 3*t + 23, 4*d = -2*t + 48. What is the highest common factor of d and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80327 by 2171.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 73. Let j be c(25). Let r = 56 + j. Let v be -2*(-2)\/r*4\/2. Solve -h = 1 + v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1280 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5982 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-9))\/(103\/(-927)). Solve -10*h + 32 = -t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1287 and 107\/107822.\nAnswer: 970398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74, -1100, -2812, -5210, -8294, -12064, -16520?\n\"Answer: -343*c**2 + 3*c + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18783, -73453, -164569, -292131, -456139, -656593?\n\"Answer: -18223*w**2 - w - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/10*105\/126?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.324 rounded to 0 decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 350399 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 166*l - 3343. Let q be u(37). What is the closest to 1 in q, 2\/11, 14.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.4 + -6.4. Let o = s - 16.00022. What is o rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4509092*t - 4509083*t - 45*t**2 + 9018175*t + 65*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4129157119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-24)*c**22*((c*c\/c**(-13\/5))\/c*c)\/(c\/(c**(-14)*c)) assuming c is positive.\nAnswer: c**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*m**3*z**2 - 432*m**3*z - 26*m**3 + m**2*z - 100*m**2 - 462727*m*z**3 wrt z?\nAnswer: 288*m**3 - 2776362*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069 times 33667?\nAnswer: -2323.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -86 + 37. Let v be 27 - (7 - 12) - f. Solve 0 = -3*c + v - 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 240.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Calculate the lowest common multiple of 3\/(-2)*64\/(-6) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 + -22 + (-131)\/(-19). Which is the closest to 1? (a) r (b) -7 (c) 17 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2695355?\nAnswer: 5, 13, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 3*r - 3. Let n be (-9 - -17)*(-1)\/(-2). Calculate f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 20*q + 83. Let y be t(-4). What is the thousands digit of 16467\/15 - (-4 + y\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 209*s - 219*s + 51320, 5*s = -5*i + 25660. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2190275*a**6*s + 8*a**6 - a**2*s + 7*a**2 - 2*a*s - 3409*s + 27 wrt a.\nAnswer: -262833000*a**3*s + 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 41, 27\/4?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -0.3 (c) 1 (d) -2 (e) 22 (f) 1\/3 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 469*q - 15494. Determine u(33).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -526774 (base 9) to base 10.\nAnswer: -313375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 266833*y - 266829*y + 4.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 bigger than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + 4*s - 1. Let a be (-1)\/(-4) - 136\/32. Let o be (-47)\/5 - (-14)\/35. Let m(c) = -7*c**2 - 9*c + 2. Determine a*m(g) + o*r(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57362?\nAnswer: 2, 23, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184343\/15 + -12294. What is the common denominator of 90\/(-32)*(20\/(-25))\/2 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616 + 3021 = -1232*g - 30859 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 23649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 + 13)*-1*(-4)\/38. What is the smallest value in 1\/284, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 13*w + 14. Calculate y(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 558811978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 403 and 8.5?\nAnswer: 394.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -1\/3, -2\/17, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1100)\/(-9240))\/(3\/((-36)\/(-15))). Put 3, n, 5, 42\/13, -5 in descending order.\nAnswer: 5, 42\/13, 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1487 + n**3 - 2*n**3 - 1487.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 877146.7068 rounded to the nearest one thousand?\nAnswer: 877000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s**(-2\/3))\/(s*s*(s*s\/s**(-1\/4))\/s*s*s*s)**20*((s\/(s*s\/((s\/(s*s**5))\/s)*s))\/s)\/s**4*(s\/((s*s**(1\/4))\/s))**(1\/29) assuming s is positive.\nAnswer: s**(-47725\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 5*i - 2. Let m be o(-4). Let v(b) = b**2 + 5*b + b**2 - b**2 + 4. What is the remainder when 18 is divided by v(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13578133 to the nearest integer?\nAnswer: 3685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/2 - 9*i + 11. Differentiate d(z) wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h - h - 4*z, -h - 3*z = 2. Sort 1, -6\/11, h in descending order.\nAnswer: h, 1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1 - 1) - -2. Let a(p) = p**2 + 7*p + 8. Let s be a(-7). Suppose -s + 93 = 5*l. Solve -f*v + 5*q - 16 = -3, -q = 3*v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17678 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 1, q: 1, b: 1}. What is prob of sequence qx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {g: 2, l: 2, z: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11737064431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 91*k + 165 + 164 - 493 + 159.\nAnswer: -94*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 10. Let k be b\/(-2)*(-12)\/(-9). Suppose -u = t + t - 6, -3*t + 2 = -k*u. Solve -3*y - a = 4*a - 19, 0 = -t*y + 3*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111.335 and -0.14?\nAnswer: 15.5869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292.200059928 + -292.2. Round g to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 982174*a**6 + 3*a**2 + 24*a + 2229 wrt a.\nAnswer: 117860880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3960446992?\nAnswer: 2, 12577, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68134757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833963?\nAnswer: 11, 53, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107\/6 - 35\/2. What is the biggest value in 0.2, y, 0, 0.05?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5066 (base 7) to base 9\nAnswer: -2368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = k + 3, -21 = -6*w + w - 2*k. Let l = -2 + 6. Find the third derivative of w*j**l - 2*j**4 - 2*j**2 + 3*j**2 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, -1, -6 in decreasing order.\nAnswer: 4, -1, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/14511494 and 59\/7.\nAnswer: 101580458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0, -41, 604.2 in decreasing order.\nAnswer: 604.2, 4\/7, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 4)*(-2 + h**4 + 2) + h**4 + h**3 - h**3 + (-4 + 2 + 3)*(4*h**4 + 4*h**4 - 6*h**4))*(0 - 1 + 2 + (-2 + 1 - 4)*(2 + 4 - 3))*(-2 - 2 + 3).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249 or -480893\/1934?\nAnswer: -480893\/1934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 1 + 7*d**2 + 2*d - 5*d**2. Let c be u(1). Suppose 0 = 5*l - 0*l - c. Let m(a) = -8*a**2. Determine m(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170625 and 24375.\nAnswer: 170625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 23 - 25)*(3 - 5 + 0)*(-733*c**3 - 18*c**5 + 733*c**3).\nAnswer: 936*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-48)*-9)\/((-54)\/9)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004078236 rounded to six dps?\nAnswer: -0.000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -4, 2\/9, -31\/3, 20?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-8) + -6 + (-47)\/(-4). Suppose -y*w + b = -675 + 48, 5*b = -2*w + 240. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-123)\/(-11316))*7\/21*-15.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 14 = -a - 2, 3*a - 15 = 5*b. Suppose 2*w = c - 12 - a, -19 = -2*c + 3*w. Suppose 3*j = c*r - 41, j + 5 = 4*r - 52. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let u(r) = -r**3 - r**2 - 3. Let x(b) = 4*f(b) + u(b). Suppose -15 = -0*p + 5*p. Is 7 a factor of x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 37*a + 1131. Give p(-30).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.173 - 0.473. What is the third smallest value in 0.5, 4, -4\/7, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3959.\nAnswer: 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -15. Let x = 23 - o. Calculate the least common multiple of x and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407194003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*v - 316*v**3 + 314*v**3 - 5 - 18*v + (6 - 2 - 2)*(-v**3 - 3*v**3 + 3*v**3) in the form p*v**3 + y*v + l + k*v**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11934*a - 79 - a**3 + 11934*a.\nAnswer: -a**3 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -26*a**2 - 142*a + 111. Let i be z(-6). What is the nearest to -0.5 in 4, 2\/7, -1\/7, i?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvkkvvvvvvfvv. Give prob of picking 1 k, 1 v, and 1 f.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5\/3 + 2870*f**4\/3 + 178555*f**3 + 10773660*f**2 + 10596060*f = 0. What is f?\nAnswer: -222, -129, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68003 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 23*u - 1. Let g(p) be the second derivative of 43*p**3\/6 - p**2 - 14*p + 208. Determine g(b(k)).\nAnswer: 989*k - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.64 + 16.77. Put -2\/13, 4, o in descending order.\nAnswer: 4, o, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3807803, 3807806, 3807809?\nAnswer: 3807812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 360 = -6*f. Let d be (-8)\/6*270\/f. Suppose 0*a - 4*a - 12 = 0, 3*u = -d*a + 3. Let w(v) = v**3 - 5*v**2 + 2*v + 4. Give w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -655, -1480, -2635, -4120, -5935, -8080?\nAnswer: -10555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*h**4 + 260*h**3 + 33*h**2 - 1403007*h wrt h?\nAnswer: 804*h**2 + 1560*h + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9))**(-1\/7)\/(y**6*y*y**(-4)) assuming y is positive.\nAnswer: y**(-191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -109, -1593, -626, 2?\nAnswer: -1593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 + b**3 - b**2 + 2 - 2*b**2 - 7. Let j be d(8). Let c(t) = t**2 + 5*t + 3. Calculate c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 - 132. What is the hundreds digit of (-2)\/(-4 - 7\/(-2)) - d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9 - 15. Suppose 0 = 3*y - h*y. Suppose 0 = -y*v + v - 5500. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**3 - z**2 + z + 1. Let p = 2 - 6. Let i(j) = -j - 1. Let k be i(p). Suppose 1 = 6*d - 2*d - q, 8 = -k*d - q. Give y(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -1075178?\nAnswer: -30\/537589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8958 - -8961. Let j(n) be the first derivative of 16 + 1\/3*n**d + 0*n + n**2. Determine j(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 3*m + 0*m**3 + 0*m**5 + m**2 + 89\/30*m**6 + 13\/3*m**4 + 13. Find the third derivative of u(g) wrt g.\nAnswer: 2136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188\/3*t + 580\/3*t**3 - 4*t**4 + 0 - 252*t**2 = 0. What is t?\nAnswer: 0, 1\/3, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(55) + 2*sqrt(6655))\/((sqrt(15)*-3)\/sqrt(3)))**2*-2.\nAnswer: -11611\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.14. Let u = 0.04 - z. Put u, 4, -2 in descending order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 2*t + 45. Suppose -7*r + 10*r = 0. What is the tens digit of x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10067809 at most 10067808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 7*q**2 - 6*q. Let y(u) = 4*u**2 - 4*u + 3. Let h be y(2). Suppose -5*v + 41 = h. Give d(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6864 = 6*r. Suppose -13*h = -2*h - r. Let y = h - 109. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 129. Suppose b = i*b + 316. Let a = b + 122. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*p - 35, -2*p + 6*w - 3*w + 23 = 0. Calculate the remainder when 217 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.08 (b) -45 (c) 0 (d) 4 (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 7, 48, -4.\nAnswer: -4, -2, 1, 7, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**3 + 7*c**2 - 7*c - 2. Let n be (-1 + (-4)\/6)*((-588)\/(-210) - 7). Let w(k) = -6*k**3 + 3*k**2 - 3*k - 1. What is n*w(s) - 3*h(s)?\nAnswer: -3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5099.06 millilitres?\nAnswer: 5.09906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -363, -559, -753, -945?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44351354 and 44679.\nAnswer: 133054062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5*z + 911*t**3*z - 10972*t*z - 2*t wrt t?\nAnswer: -40*t**3*z + 5466*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 4*p**3 - p**3 + (p**2 + 2*p**2 - 4*p**2)*(p - p - p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3 + 3)) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/62426 and -79\/11258975?\nAnswer: 157625650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2. Let h(u) = -9*u - 8. Calculate f(h(r)).\nAnswer: -324*r**2 - 576*r - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -924491, -924488, -924483, -924476, -924467, -924456?\n\"Answer: p**2 - 924492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:19 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(539) + -2*sqrt(539))*-1*-3 + ((-2*sqrt(88)*1)\/(3*1*sqrt(8)))**2 + 5.\nAnswer: -21*sqrt(11) + 89\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -394*i**2 + 5931*i + 22. What is z(15)?\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-3 - -9) + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -76964 < -76965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2 + sqrt(102))*3 - (6*4*sqrt(102) - sqrt(102)))\/((3*sqrt(270)\/sqrt(5))\/(sqrt(1089) - sqrt(1089)*2)).\nAnswer: 154*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 661*y**6\/6 + 94*y**3 + y**2 + 538. Find the third derivative of f(r) wrt r.\nAnswer: 39660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouuo when four letters picked without replacement from uoouoooouoo?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4275)\/36)\/(6 + (-870)\/120).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.55.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*u + 4 = 17, 4081*p + 7*u = 4082*p + 36 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/16 - (-33)\/2*(-38 + 5382\/143)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 + 90. Let i be (-2)\/((12\/21)\/(5*2)). Let g = i - s. Calculate the remainder when g is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*y - 20 = 0, 0 = 23*l - 20*l + 3*y - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 less than or equal to -4030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1411153 - -10?\nAnswer: 1411203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3 - 9 - 283*z**2 - 355*z**2 in the form g*z + b*z**2 + d and give b.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 4) in base 7?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 + 3 + 7) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 3 - 10 - 2*q**4 - 2*q**2 in the form c + t*q**3 + n*q + f*q**4 + i*q**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/7 + 11960*j\/7 + 6493962\/7 = 0.\nAnswer: -501, 6481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-8)*(-14773)\/7821.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 + 75*f**4 + 4*f - 96*f**4 - 86*f**4 - 531*f**3 + 515*f**3 wrt f?\nAnswer: -1284*f**2 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-10)\/(-4455)*9?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1868.245722 seconds to weeks.\nAnswer: 0.003089030625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o**4 + 37*o - 37*o)*(-3*o + 4 + 0*o + 8*o) + 14*o**5 + o**4 - 16*o**5 - 7 - 2.\nAnswer: 63*o**5 + 53*o**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c**2 + 20*c - 320. What is the remainder when b(7) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 20*r - 37. Let o be (-236)\/(-12) - -1*2\/6. Suppose 8*l + o = 12*l, -j + 4*l + 2 = 0. Let d be u(j). Solve -13 = 5*q + d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 2410739.\nAnswer: 21696651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*l = 530735, -2*x - 5*l + 265370 = -9*l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 426 in -0.11, 3, 1\/3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 6:26 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**6\/6 - 7*r**5 - 429*r**4\/4 - 2057*r**3\/3 - 1331*r**2 + 1179. Let y(x) = 0. What is x?\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 5 (c) 16.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*7254\/(-9672).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 56 = 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 16805*i = 16807*i + 38, 8*l - 5*i = -113 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 18*g. Let a be 28\/(-3 + -1) + (-3)\/(6\/(-2)). Determine n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14637.\nAnswer: 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 33 = -939. Let k = -322 + o. Solve 5*l - k*q + 20 = 0, l + 4*q = -2 - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -204, 186, 1246, 3312, 6720, 11806?\n\"Answer: 56*t**3 - t**2 + t - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) - sqrt(1872)*-2)*-2 + 0)*-4)**2.\nAnswer: 1078272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 11*h - 16. Suppose -4*l + h = -0*l. Suppose j - a - 10 = a, -l*j + 3*a = -45. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 4*y + 65, 4*y = -35847 + 35863 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 696*g + 170 + 697*g - 46 - 1415*g to a + r*g and give a.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055868284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1242 (base 6) to base 14\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21200946 <= 21200936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8613, 34060, 76449, 135774, 212029, 305208, 415305?\nAnswer: 542314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12491226.\nAnswer: 2, 3, 11, 17, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -3819.\nAnswer: -49647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m = -45*m + 102685. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2\/5 (b) -1\/2 (c) -7.5 (d) 261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 3 - 2)*(1 - 6 - 1)*(4*t + 0*t - 2*t) as q*t + u and give q.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.4? (a) -0.02 (b) -1\/7 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 2*f - 37 = 0, 262*f - 258*f = 5*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2412987 or -2412967?\nAnswer: -2412987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 9*t - 82*t**2 - 129*t**2 - 3*t**3.\nAnswer: -3*t**3 - 211*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 770.04 to 0 decimal places.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*l + 2*r, 3*r - 7 + 4 = 0. Let n(j) = j**3 + 6*j**2 + 4*j - 3. Let x be n(-5). Let s(q) = x*q + 2*q + 0*q + q**2. Calculate s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 87*s**2 - 171*s**2 - 10 + 40*s**2 + 43*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23264*-5.\nAnswer: 116320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2553225, -2553223, -2553219, -2553213, -2553205?\n\"Answer: x**2 - x - 2553225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + g**2)*(0*g**2 - 3*g**2 + 2*g**2) + (2*g - 2*g**3 - 2*g)*(0*g + 3*g - g) + 3*g**4 - 4*g**4 + 2*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1078 + -1063. Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46630.96 years in months?\nAnswer: 559571.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3116226 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77.55 - 77. Let k = g + -2.55. Let c = 1.06 - 0.96. Sort k, 2, c, -0.4 in descending order.\nAnswer: 2, c, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 430*u**3 + 86*u**2 - 43*u + 215. Let i(k) = -2*k**2 + k - 5. Determine -43*i(h) - n(h).\nAnswer: -430*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-2142))\/((-1)\/14*2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 14266 = -11*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. Let u = -4.6 + 4.7. What is the smallest value in u, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Suppose 3 = -t + 7. Suppose 0 = -t*i + 5*o - 7, 0 = -o + 1 + 2. Let a(j) = j - 2*j + i*j. Determine a(x(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/300*-10)\/(8320\/(-4800))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*m*w**4 + 5*m*w**3 + 3*m*w**2 + m*w + 3*w wrt w?\nAnswer: 720*m*w + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g. Suppose 6 + g = 2*m. Suppose -2*q = m*q + 2*x - 249, 104 = 2*q + 3*x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1096, 2249, 3402, 4555, 5708?\nAnswer: 6861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -41, -306, 4 in ascending order.\nAnswer: -306, -41, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.25671378 to 4 decimal places.\nAnswer: 2.2567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/4, 3.9, 0, -27, 2\/5.\nAnswer: -27, -21\/4, 0, 2\/5, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 1576\/4 + 1. Let h = k + -188. Suppose 6*n - h = 2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336*b**5 + 132725*b**4 - 12549799*b**2 wrt b.\nAnswer: -20160*b**2 + 3185400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = -2*y, 2*v - 12 = -2*y + 4*y. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umn when three letters picked without replacement from {u: 2, t: 3, n: 6, m: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.8882l in millilitres?\nAnswer: 155888.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -1\/10124, 2.2, -0.5.\nAnswer: -7, -0.5, -1\/10124, 2, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10089 is divided by 277.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 16*z - 58. Calculate h(-20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.521, 60.8, -14, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-404)\/(-101)*6\/3*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3162040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:15 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 2\/5, -4\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(21\/(-3330002)) - (-4)\/(-6). What is n rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -1\/4, -4, 0.1 in descending order.\nAnswer: 0.1, 0.09, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*q - 6, -22*a + 17 = 2*q - 25*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/12)\/((-1)\/(-249)). Let z = s - 579\/7. What is the closest to -0.1 in 0.07, z, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 174. Put 2\/7, b, -1\/4, 3 in ascending order.\nAnswer: -1\/4, 2\/7, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13022568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31324 + -44?\nAnswer: 31260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 6, -1, -8, -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -506, -505, -504, -503?\n\"Answer: x - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 - 8140*t - 106665 = 0.\nAnswer: -13, 1641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from srurrrruuccuruusrusd.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.098154372 to four decimal places.\nAnswer: 0.0982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16287*s - 113880. What is t(7)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 3. Let n(l) = 0*l + l + 140 - 140. Determine 4*n(q) - p(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6981 is divided by 235.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, -3, 1\/31, -0.4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1917 - -1916.9. What is the nearest to 3\/13 in 1\/22, 2\/9, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + -1 + sqrt(11)).\nAnswer: -16 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 173 - 34. Let t = c + 217. Calculate the greatest common divisor of t and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = k - 7*r - 17, -5*r = -3*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 190.9008cm?\nAnswer: 1.909008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -5 + 13*1. Let g = q + 11. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = 5*p, 0 = 2*p + p - 4*j + 10. Let q be (p\/(-4))\/(2\/(-100)). What is q rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:43 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4613?\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*j = -217065, -94595 = -4*y - 5*j + 79057. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007855 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5500 and 229690.\nAnswer: 126329500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 2, t: 5}. Give prob of sequence ttvr.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 26. Let x(i) = 2*i + 9. Let b(d) = -3*m(d) - 8*x(d). Let t be b(0). What is the remainder when t*24\/9 - 2 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 2, x: 1, k: 12, v: 2}. What is prob of sequence xvv?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -42*a**2 + 640*a - 43. Calculate t(13).\nAnswer: 1179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210210002 - 2221101?\nAnswer: 200211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3677991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:41 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 + -7.4. Let c = 3 + i. Let p be (33\/22)\/((-2)\/4). What is the nearest to c in p, -0.2, -3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-52)\/(-1105))*(-10)\/(-4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 14. Let d be (-2)\/(-8)*2*(112 + j). Let a = d - 25. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 - ((179 - 56) + -2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4613 - 2?\nAnswer: -4615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, f: 6}. What is prob of picking 1 n and 1 f?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*q = -2 - 2, 0 = -3*q - 12. Let j be (-2)\/6 - f\/12. Suppose -5*m + 19 = -2*d, 1 = -5*d + 16. Solve -5*z + j = -m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.96 + 0.04. Let a = 3.999945 - q. Round a to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 511600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2938?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 132 = 84. Suppose r*g + 438 = 1458. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1644534 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:23 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - (sqrt(88) + -2*-3*sqrt(88))) - 2*2*sqrt(88))\/(5*-2*sqrt(8) - -4*sqrt(32)\/sqrt(4)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29548.\nAnswer: 2, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**3 - 9*f**2 + 8*f + 4. Let g(l) = l**3 - l**2 + l + 1. Let n(s) = 6*g(s) - t(s). Suppose 5*i = -7 + 17. What is the units digit of n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131647 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 20*a**2 + 14*a - 36.\nAnswer: 2*(a - 1)*(a + 2)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 176\/6 + (-4)\/(-36)*-3. Let a = n + -9. Solve -6*z - 5*y = -2*z - a, 0 = -2*z + 4*y + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10534 + 10541. What is the lowest common multiple of s and 6329?\nAnswer: 44303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0730202 + 0.073. What is s rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, 1\/4, 810?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2188*i**4 - 8*i**3 - 8*i**2 + 40*i - 674. Let t(h) = -2*h**4 + h**3 + h**2 - 5*h. Let x(d) = -a(d) - 8*t(d). What is the derivative of x(n) wrt n?\nAnswer: -8688*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from jkdxbyjx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5812991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 49*w**2 + 2*w - 1. Let l(a) = -a**2. Let o(m) = -4*l(m) + n(m). 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*m - 7 = b + 5, 0*m - 15*b = -m + 2 + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*o**4 - 3*o**5 + 84*o**4 + 4*o wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**3 + 2*t**2 - 78*t + 5. Let y(r) = -4*r**3 - r**2 + 40*r - 2. Calculate -3*u(k) - 7*y(k).\nAnswer: k**3 + k**2 - 46*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281351 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19141 - -19143. What is the closest to b in 2\/3, -3, 0.087?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116283301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w - 2. Let f be (-6 + 7)*(2 - w*2). Suppose -2*x = 4*d - 546, -488 = -f*d - 3*x + 63. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 166 = 4*u + u, -m = u - 34. Let l = u + -9. Suppose 4*z - 8*z = -l. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-3 + sqrt(153) + -3 - (2 + sqrt(1377) + -3)**2.\nAnswer: -1381 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/5)\/((v*v**(2\/21))\/v*v*v)*(v*v**(-4)*v)\/(v\/(v\/v**(3\/2)))*((v**0*v)**(-37))**(-1\/25) assuming v is positive.\nAnswer: v**(-3901\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/4 + 4*s**3\/3 - 3*s**2 - s + 11. Let y be h(-5). Factor -n**5 - 2*n**2 + 3*n**3 - y*n**2 + 4*n**2.\nAnswer: -n**2*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:12 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33166357.\nAnswer: 7, 149, 31799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f + 1068*f**3 - f**2 - 551*f**3 - 526*f**3.\nAnswer: -9*f**3 - f**2 - 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**2*c**3 - 7*a**2*c**2 - 6*a**2*c*g - 3*a**2*g + 366*a*c**4*g - 2*a*c**2*g + a*c - c**5 wrt c.\nAnswer: 30*a**2 + 8784*a*c*g - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -869, -6, -47 in increasing order.\nAnswer: -869, -47, -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*w - 572*w = 255*w - 370*w + 69540 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Let k = -1.92 + -0.08. What is the closest to k in c, 8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*z + 12, 7*m - 5*m + 16 = 4*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101238910*k**2*z**3 + 1299*k*z**3 + 26*k*z**2 + 2*k*z - 2*k - 4*z**3 + 2 wrt k.\nAnswer: 202477820*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 56 + 34 = -3*r, 5*r - 50 = -5*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z. Let x(y) = -1396965*y. Give x(p(g)).\nAnswer: -6984825*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4680\/300*1*10\/(-6)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 10:36 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + 2*z)*(6 - 3 - 1) - 3*z - z + 3*z + (3 - 1 - 4)*(62*z - 9*z - 22*z) - 3*z - 2*z + 3*z.\nAnswer: -69*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392*k - 507*k - 830*k - 338*k to the form l + x*k and give x.\nAnswer: -1283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 14080.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -3\/8, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 4. Suppose 3*t + 36 = 57. Let d(r) = 0 - 6 - r + 1. Give t*j(v) + 6*d(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20 = 5*y, 5*o + 20 = 8*o - y. Suppose 0 = 6*b + 4*b + o*b. Which is smaller: -8\/13 or b?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392\/795 - -17\/159. Which is the third biggest value? (a) u (b) -14\/25 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h - 2 + 1 - 87*h to l*h + q and give l.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bybwcyylccwwcywy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 413, 933, 1661?\nAnswer: 2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -586*(2\/(-292))\/1. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f + 3*f)*(9*f**3 + 3*f**3 + 4*f**3) + 0*f**4 + f**4 - 3*f**4 + f**3 - 2*f**4 - f**3.\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -54, -101, -166?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -230339?\nAnswer: -230334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h**3 - 3*h**3 + 0*h**3)*(-6*h + h + 3*h)*(-497 - 272 + 54 + 118).\nAnswer: -25074*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -34*k**2 + 8 + 23*k**2 - 7*k + 1 + 59*k**3 + 16*k**2 + 21. Is i(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46611 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 35*q - 11*q - 36 + 36.\nAnswer: -q**2 - 46*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527502117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 6. Let v be t(3). What is the remainder when 66 is divided by 104\/3 + 1\/v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 + 6*x**2 + 73*x**2 - 208 + 35*x**2 - 165.\nAnswer: 114*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101178\/10950 - (34\/8 - 4)*36.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 396723, 396433, 395651, 394131, 391627, 387893, 382683?\n\"Answer: -41*z**3 - 3*z + 396767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 5*l + 2*l)*(11*l - 2*l - 6*l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = 4*o + 23, -5*c - 4*o = -78. What is the remainder when 53 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (44 - 67) - 31.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 735.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-60)\/183)*(-6 + 2). Let r = y - -65. Solve i + r*x - 24 = -7, 4*i - 17 = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 116, -34, 1\/7, -0.02, -0.093?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 1\/2, -1\/2 in descending order.\nAnswer: 1\/2, 0, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1000, 5091, 12282, 22573, 35964, 52455?\n\"Answer: 1550*f**2 - 559*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -162. Let w = -88 - d. Which is the closest to 2? (a) -1\/3 (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/20 - 2\/(-10). Suppose y*k = k + 5. Is 3 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18)\/sqrt(6) + 5 + (sqrt(48) - sqrt(3) - sqrt(3)).\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:08 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from qvqhqvvhvvqdhqqqv?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 1119974.\nAnswer: 12319714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136519 - -77163. Let d = l - -92356. Round d to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -42. Let a be -6*16\/g*-3. Suppose 0 = -a*b + 3*b + 110. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 - s. Let l be (-15)\/(-10) + (-23)\/2. Let c = -14 - l. Give z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 448740\nAnswer: 852606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(4\/3))*j*j*j)\/j**(-1) assuming j is positive.\nAnswer: j**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22145, 49486, 76827?\n\"Answer: 27341*b - 5196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 5*w**2 - 3*w + 4. Let o be h(-3). Which is the second biggest value? (a) 3\/53 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = -18. Suppose 4*y - 25 = r*l + 33, 0 = 2*y - 3*l - 30. What are the prime factors of y?\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 195982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-15 + -3 + 11 + -8 + 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 0.1. Let a = 2.157 + -1.157. Put a, 0.3, i in increasing order.\nAnswer: i, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 + 88 - 46 + y**3 + 4*y - 42. Give t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4671 = 3*u - 3*a, 5*a + 1033 = -2*u + 4161. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 16880*t + 14246720 = 0.\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u - 140 = 4*s, 20 = -4*s. Solve -3*h - u = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a + 9. Let v(t) = -2*t**3 - 3*t**2 - 3*t - 1. Let i be v(-2). Let f be z(i). Calculate the greatest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f\/(f**11\/f)*f)\/f*f*f**(-2) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 14. Let j = -3 - n. Let v be 9\/63 - j\/(-77). Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5067*o. Let b(r) = 3*r. Determine l(b(q)).\nAnswer: 15201*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15711, -15634, -15573, -15534, -15523?\n\"Answer: -g**3 - 2*g**2 + 90*g - 15798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.2 (b) -2 (c) 2\/3 (d) -17623 (e) 4\/9 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {m: 2, a: 1, v: 7, u: 1, y: 5, k: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 13, q: 1}. Give prob of picking 2 n and 1 i.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 - 2. Let x be n(2). Suppose -d + 3 = -x*f + 10, -5*d = f + 13. Is 820\/25 - f\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 2*r**5 + r**2 + (2 - 11 + 3)*(0*r**3 - 2*r**5 + 0*r**3).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3336826, 6673651, 10010476, 13347301, 16684126, 20020951?\nAnswer: 23357776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 6*s**3 + 14*s**3)*(3 - 2 - 19).\nAnswer: -342*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**8\/112 - q**4\/24 - 7*q**2. What is the second derivative of u(z) wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167 and 48931.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 5062, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054740463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11835183 - -4?\nAnswer: -11835178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 114 = -2*h. Let z = -29 - h. Factor 25*u + 33*u**2 - 5*u - 4 - z*u**2 + 24.\nAnswer: 5*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/170 and -73\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439, -316, -157, 56, 341, 716, 1199, 1808?\nAnswer: 2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 2 (c) -4 (d) -2\/803\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 135, 150, 181, 234, 315?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 + 5*n + 4*n + 2*n - 5*n + (2*n + 0*n - 4*n)*(-2 + 5 - 5) + 2 - 2 + n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20507 is divided by 820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*c + 90 = 0. Calculate the remainder when 41 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 6*s**2 - 8*s + 9. Suppose 4*j = 8*j - 28. What is g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 - 48*y**2 - 140*y = 0.\nAnswer: -7, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2192 + 2192. Let a(v) be the third derivative of m*v + 0*v**4 - 6*v**2 + 0 + 8\/3*v**3 - 1\/60*v**5. Differentiate a(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 163. Give q(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 6221\/2 in increasing order.\nAnswer: -1, 0, 6221\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*p - 15, 0 = p + 5*j + 1 - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2\/7 + 17300*h\/7 + 345200\/7 = 0.\nAnswer: -8630, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14672.7 kilometers to millimeters.\nAnswer: 14672700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448183 and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((26\/((-260)\/1))\/(-1*7\/7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**5*u)\/u)\/u*u)\/(u**(-6\/11)\/u)*(u**1)**(-3\/17) assuming u is positive.\nAnswer: u**(1191\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10336 - -10346. Calculate the remainder when 3028 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 40. Let t = k + -27.1. Let s = -0.02 - 1.98. Sort t, 2\/11, s.\nAnswer: s, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/28*84\/18)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 29 + 26 - 135 + 27 + 40*r in the form a + z*r and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9734429, 53, 5 in descending order.\nAnswer: 9734429, 53, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56874253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 495079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*m + k + 172, m - 20 = -3*k. Let u(n) = 3 + n**2 + 62*n - 34*n - m*n. Give u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3430*p**2*x**2 + 24681929*p**2 + 37373*p*x**5 + p*x + 2*x**2 wrt x?\nAnswer: -6860*p**2 + 747460*p*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**3 - 257*v**2 - 22*v + 1. Let r be o(37). Calculate the highest common factor of 44 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 589770 and 1887264?\nAnswer: 9436320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/3))\/s**4)\/(((s\/s**(-2\/3))\/s)\/(s\/(s*s**(2\/7)\/s*s))))\/(s**(-3)*s\/s**3*(s**(2\/9)\/s)\/(s\/((s**6*s)\/s))) assuming s is positive.\nAnswer: s**(-179\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -100011011 (base 2) to base 15\nAnswer: -13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308729539?\nAnswer: 83, 3719633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/25*-720*(-2)\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -20, -78, -166, -290, -456, -670, -938?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 202*z**2 - 78*z - 28. Calculate v(-1).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2\/2 + 45. Let g(z) = -31*z. Calculate g(d(x)).\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 19*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7625 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -9)\/(0 + -1). Suppose -4*w = 3*q - 7*w - 9, -4*w - 4 = 0. Let s be (-6)\/10 + 5*(-8)\/100. Put q, s, u, -5 in ascending order.\nAnswer: u, -5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -42.1. Let h = -8.39 - -7.99. Sort 5, h, m, -2.\nAnswer: m, -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -34 - 255354\/(-4558)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgzkkgez. What is prob of sequence ze?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -95*u**5 + 10\/3*u**6 + 6830\/3*u**3 + 560*u**4 + 845*u + 6 + 2470*u**2. Determine n, given that s(n) = 0.\nAnswer: -1, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/592 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c - 43. Is d(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1787429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 64*z**2 + 292*z + 146. Calculate o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 751595661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*b + 5 = -5, b - 2 = -n. Let x(q) = 25*q + 19*q - 30*q + q**2 + n. Let t(a) = 3*a**2 + 41*a + 14. Let d(z) = -4*t(z) + 11*x(z). Calculate d(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13256 = s + 13258 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*c + 2 = -4, -3*q - 3*c = -18. Let u = q + -5. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -12. Let m = -1 - x. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1907, -3817, -5727?\nAnswer: -7637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-84)*(-8)\/70?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/63033 and -44\/27?\nAnswer: 567297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 982817 and -0.4.\nAnswer: -393126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and (-5)\/525*(-2920)\/1648?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 2043392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = z + 8, -13*v + 2 = -12*v - 3*z. Let l(c) = -3*c**2 - 2*c - 1. Let y be l(-1). Let u be y + -1 - (0 + -9). Solve 0 = v*m - u*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 781*r**4 + 2*r**3 + 2*r**2 + 16*r + 29 wrt r.\nAnswer: 18744*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t - 6 = 0. Suppose -2*j + j + 4 = 0. Suppose -j*l + 12 = -0*l. Solve l*r = 4*r - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-6*(-3)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 9*b + 26 = 0. Suppose f = 90 - b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 432 = 55*r, -2*p + 4*r - 17 = -0*r - 41 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6855020 and 109\/5830?\nAnswer: 75405220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:51 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4013, -2, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.34 + -0.34. What is the closest to -1.1 in f, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 5) in base 8?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/5)\/((266\/(-931))\/((-8)\/(-42)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 * -14530\nAnswer: 334.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, 59, 374, 875, 1562, 2435, 3494?\n\"Answer: 93*m**2 - 150*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44236*y**2 - 72710?\nAnswer: 88472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -119 (b) 1\/6 (c) 5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.4, -4, -12, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 1529151, -2 in decreasing order.\nAnswer: 1529151, -0.14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209661 - 0.16.\nAnswer: 209660.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1107\/(-9))\/41*(-5)\/345?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64682990 and 8530.\nAnswer: 8530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3138 + 3140. Let z(i) = i**3 + 8*i**2 + 5*i + 2. Let l be z(-7). Solve -b + 3*j = -3, -f*b - 2*j = 3*j + l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, t: 2}. What is prob of sequence rrrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.32 - -65.68. Let c = -15 - p. Put -0.4, -5, c in descending order.\nAnswer: -0.4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 1. Let f = 209 + -217. What is o(f)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z**3 - 3*z**2 - 4*z - 4. Let q = 4682 + -4686. Let r(f) = -23*f**3 - 7*f**2 - 9*f - 9. Calculate q*r(i) + 9*d(i).\nAnswer: -16*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -4\/9, 156\/37, -2718 in ascending order.\nAnswer: -2718, -23, -4\/9, 156\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/11873942 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4463.0979 - 819.0347\nAnswer: 3644.0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 106.3. Let h = 118.3 + k. Is -1\/4 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1480*w - 2953*w + 0*w**3 + 2*w**3 + 1473*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 10:51 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*f - 8 - 0, 2*f - 3*u = 19. Calculate the remainder when 62 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305691 rounded to the nearest 1000?\nAnswer: 2306000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*u - 14, -5*o + u = 7 - 45. Let y(z) = z + 1. What is the units digit of y(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230985596.\nAnswer: 2, 17, 23, 147689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 - 123. Let k be -1 - -48 - 1*-1. Suppose n + k = 3*y. What is the least common multiple of 11 and y?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440 (base 15) to base 8.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x + 1. Let d be 4\/(-26) + (-296)\/104. What is the smallest value in 2\/5, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0 (c) 2\/13 (d) -18\/17 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/9 + 2978*l**4\/9 - 283316*l**3\/9 + 1362592*l**2\/3 - 1088192*l = 0. Calculate l.\nAnswer: 0, 3, 14, 84, 1388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30396 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:02 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13458647 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-512)\/45 - 2\/9. Let x = n + 227\/20. Which is the closest to x? (a) -1 (b) -5\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 23*x - 214. Let p(t) = -59*t + 423. Determine -2*p(w) - 5*r(w).\nAnswer: 3*w + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40311.98ml to litres.\nAnswer: 40.31198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 5. Let a be q(0). Let r be (2 - -3)*(-21)\/a. Solve l - 7*t + r = -3*t, -3*t + 32 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 13 - 28 + 1 - 5 + 1 + (-2 - 1 + 1)*(-1 - 2 + 2))*(-h + 0*h + 1 + 1) as f*h + i and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 744053826 divided by -2\nAnswer: -372026913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Let u(q) = -q**3 + 6*q**2 + 7*q - 7. Let i be u(d). What is the third derivative of -i + 2*k**2 + 6*k**3 + 53 wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 19975 = 3*t, -f + 24084 = 5*t - 9238. Is t a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:44 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30416 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 - 22491250*b**3 = 0. What is b?\nAnswer: 0, 4498250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(102) + sqrt(102)*-4 + sqrt(102))*-6)\/(-3*sqrt(726)))**2.\nAnswer: -32*sqrt(17)\/11 + 2208\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 20*s**2 + 4*s - 3. Let o be z(3). Suppose 3*q = -941 + 1004. What is the greatest common factor of q and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 966 divide 26505108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 0.5, 5\/2, -1\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.31 - -43.41. Which is the nearest to 1\/5? (a) -1.7 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1632 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*a - 34, -122*a + 2 = -123*a - 2*y. Let h(p) = 2*p - 8. Calculate h(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -42*w + 2. Let k be (32 - 31)\/((-4)\/(-52)) + -8. Let o(c) = 42*c - 2. Give k*o(j) + 6*l(j).\nAnswer: -42*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31*(0 - -2)*2. Let v = 88 - x. What is the common denominator of (-12045)\/(-990)*2\/3 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 18 - 12)*(2 - 3 + 2)*((-3 + 4 - 3)*(17 - 9 - 9) + 3 - 4 + 2)*(k + 0 + 0).\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697 and 284427?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13584 = 35*l - 4721. Let g = l + -291. Suppose 4*n = -c + 120, -3*n + 3*c + 67 = -2*c. Calculate the highest common divisor of g and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwiwwrmmvrxxxvxwiii. Give prob of sequence wmw.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196235 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, 1\/76, 1, -57\/2, -2, 5.\nAnswer: -57\/2, -2, 1\/76, 0.16, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -59756*p + 9. Let s be i(8). Let t = 341039 + s. Round t to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 2. Let m be w(4). Suppose m*x - 3*i + 6803 = -0*i, -5*x = -5*i + 17005. What is x rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w**2 - 17*w + 15. Let z be h(8). Suppose -m = y + 62, 8*m - z*m - y = -58. Let k = 31 - m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 7*t + 5. Which is the nearest to -2\/3? (a) 0.2 (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(36))\/sqrt(12) + 3.\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3118600 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117369 and 2576.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*d + 5. Suppose -34 = 3*a - 4*w, -2*a - w = -6*a - 41. List the prime factors of (-2)\/d + (-78)\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + o + 2)*(-3*o - 2*o + 6*o)*(244*o + 11351 - 11351).\nAnswer: 244*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/14)*h*h\/(h*h**(2\/21)\/h))\/(h**16)**5 assuming h is positive.\nAnswer: h**(-3271\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.077 (b) 61 (c) 0.4 (d) -1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -9\/4, -3, -37218, -1\/3 in increasing order.\nAnswer: -37218, -3, -9\/4, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 1:36 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 33\/(-15))\/(-35 + 34)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*w = -178, 3*w + w = -4*l + 136. What is the second derivative of -4*r + 9*r**5 + 3*r**5 - 38 + l wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5093668 is divided by 4548?\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/10)\/((-1)\/110). Suppose k = 2*f + f. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (4*(sqrt(220)*-2 - sqrt(220)))\/(sqrt(77)\/(sqrt(7) - -6*(sqrt(7) - sqrt(28)))))*3)**2.\nAnswer: -6480*sqrt(5) + 648081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/15 + (-248)\/(-20). Suppose -l = -3*g - 0*g. Let f(x) = x**3 - 37*x**2 - 43*x + 194. Let h be f(38). Solve -h = -b + q + 1, -g*b - 4*q = 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 12. Let b(j) = 8*j**2 - j - 7*j**3 + 4*j + 6*j**3 - 12. What is the remainder when q is divided by b(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 = 2*n, -3*n + 2*q + q + 9 = 0. Suppose n*l = 7*l - 108. Suppose -2*x - 72 = -10*x. What is the highest common divisor of x and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6293, -6730, -7559, -8774, -10369, -12338, -14675?\n\"Answer: k**3 - 202*k**2 + 162*k - 6254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -445 + 448. Sort 13, -5, c, 4.\nAnswer: -5, c, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -13*g - 59. Let p(x) = -19*x - 88. Let r(v) = 7*c(v) - 5*p(v). Calculate the remainder when 11 is divided by r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k + i - 97, 5*k = -2*i + 485. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/10 and (518\/76 + -4)\/(-1)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4836.14 litres in millilitres?\nAnswer: 4836140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5 - 2 + 3*l**2 + 2*l - 2*l**2 + 4*l. Let j be y(-7). Suppose j = -0*o + o + 1. Are -1 and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**9*a**(-17) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -821398, -3285670, -7392786, -13142746, -20535550, -29571198?\n\"Answer: -821422*n**2 - 6*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.2, 0.5, 1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-30) - ((-12)\/15 - -1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206 + 259.2. Let s = y + -46. Which is bigger: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*m - 55 = 192*m. Suppose a + 5*b = b - m, -3*b = 2*a + 2. Suppose a*l + 283 + 526 = 4*d, -2*d = -l - 403. What are the prime factors of d?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -138\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59141*c**4 - 21*c - 4125827.\nAnswer: -236564*c**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**3 - 14*x. Let c(q) = 2*q**3 + 5*q. Let p(h) = -h**3 + 10*h**2 - 12*h + 15. Let t be p(8). Let u = -42 + t. Calculate u*y(z) + 14*c(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 12*y**2 - 11*y. Let x be w(11). Suppose x = -0*d + d - 20. Suppose 5*f + 55 = -5*b, -d = 5*b - 0*b. Put 3, f, -1 in decreasing order.\nAnswer: 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p - p)*(5 - 18 - 31).\nAnswer: 220*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 8*j**2 + 12*j - 14. Determine w(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 73\/(-7) - (9 + (-396)\/42). Let v = 55 - 55. Sort o, 2, v, 4 in ascending order.\nAnswer: o, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.059507 rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maaammaamcomamoka. Give prob of picking 2 o and 1 c.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -111, -188, -265, -342?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 + 648 = 6*q. What is the closest to -1 in 0, q, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - 28b71?\nAnswer: -28b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/30 - z**4\/12 - 2*z**3\/3 + 15*z**2. Calculate the remainder when 223 is divided by a(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 6*z**2 - 5*z + 8. Let r be v(-7). Let p(h) = h - 3*h - 9 - 4 + 4. What is p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4734 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -12 (b) 5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50 - 81?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 1. Let j = 1607 + -1602. Let x(l) = 9*l - 2. Calculate j*q(y) - 3*x(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*o - 35 = 222*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 5}. Give prob of picking 1 s and 2 o.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w**2 + 5*w - 9. Let d = 585 + -590. Let g(c) = -5*c**2 - 3*c + 5. Let a(s) = s**3 + 10*s**2 - s - 13. Let z be a(-10). Calculate d*g(n) + z*i(n).\nAnswer: -5*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d + 2)*(2*d**4 + 0*d**2 + 0*d**2) + d**2 - d**2 - d**3 - 6*d**5.\nAnswer: -4*d**5 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.6922 rounded to zero dps?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(726) + sqrt(726) + 3*sqrt(726)).\nAnswer: sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6 + 2*s**2 - 2*s + 1 + 3. Let y(f) = f**2 - 9*f - 4. Let j = 0 + 9. Let z be y(j). Let i(t) = -t**2 + 2*t + 1. Calculate z*i(x) - 3*h(x).\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 320 + 3546. Suppose 3*q - 4*x = q + n, -4*q = -3*x - 7757. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 651886*h**4*m - h**4 + 3*h*m + 31885875*m wrt h.\nAnswer: 2607544*h**3*m - 4*h**3 + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10484*p**2 - 7*p - 5. Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -29 + 8 + 11 - y + 5 + 6. Let g(o) = 35*o**3 + 14*o - 14. What is -g(s) - 14*i(s)?\nAnswer: -35*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 577*4\/(-20)*-5. Round t to the nearest 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -370.51 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101134 + -100343?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 x when three letters picked without replacement from hxkhxhsxxhxxxxx.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -8808.224.\nAnswer: -2642.4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 19*t + 8691. Let i be j(84). Calculate the highest common factor of i and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798 a factor of 417367779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5188548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r - 23 - 27 + 51 in the form s + u*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-28)\/(-20) - -1. Let b = -0.07 + 5.07. Let s be ((-1)\/(-2))\/((-3)\/18). Sort w, b, s.\nAnswer: s, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34228 and 7562?\nAnswer: 650332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -150084, -300179, -450292, -600423, -750572, -900739?\n\"Answer: -9*m**2 - 150068*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -91524 and -0.3.\nAnswer: -91524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*f - 0*f - 14, -20 = -5*p. Suppose f*j = -3*c + 472 + 381, 0 = -3*c + 9. What are the prime factors of j?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.1721 + 0.8279. Suppose 0 = -0*q - q - 4*o + 2, q - 2*o - 2 = 0. Let f be 1*-2*q\/(-12). Which is the second smallest value? (a) g (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + 0 - (2 + -3). Suppose -t = v - 3*t - r, -2*v - 4*t - 12 = 0. Suppose -13*s = -83 + 26 - 8. Solve 0*z + 24 = 4*z + 4*q, -26 = -s*z - v*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/4 - 135*v**2\/4 + 48. Factor q(c).\nAnswer: -3*c*(c + 90)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*d - 0*z + 5*z, 0 = 3*d + 5*z + 15. Is 14\/27 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 0 - (-2)\/(-3)*(2 - 26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -48 in ascending order.\nAnswer: -48, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -40*b + 159. Let q be u(4). Sort -3, q, 20.\nAnswer: -3, q, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/d**(1\/13))\/(d**26*d\/d**(-30)) assuming d is positive.\nAnswer: d**(-612\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**5 - 23*v - 31*v + 20*v - 16*v**5 wrt v.\nAnswer: -300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 6*h**2 + 6*h - 7. Let f(j) = -3*j - 16. Let o be f(-6). Let n(u) = 2 + 0*u**o + 4 - 5*u - 2*u**3 - 5*u**2. Calculate -5*k(l) - 6*n(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)\/y)**(-3\/17)*y**(9\/5)\/(y\/y**(9\/4)) assuming y is positive.\nAnswer: y**(1177\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + 73. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 - 1.27. Let q = w + 1. Let o = 3.89 - q. What is o rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-22)\/(s\/s**(10\/13)))\/((s**(-8)\/s)\/s)**(-1\/5) assuming s is positive.\nAnswer: s**(-315\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 1178?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.99 + 4. Let o = -1.8885 - 0.1115. What is the closest to d in 0, o, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14229.78968 to the nearest 10.\nAnswer: -14230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, 1 w, and 1 v when four letters picked without replacement from ywrqqvvzqqqrvzz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106970141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2483*g - 2524. Let m(s) = 1238*s - 1261. Let w(h) = -5*m(h) + 3*n(h). Differentiate w(l) with respect to l.\nAnswer: 1259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59.2 + 58.2. Let n = 0.06 - -7.94. Let w = -4 + n. Sort w, c, -3 in decreasing order.\nAnswer: w, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -15, 269, 555, 843?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83455, 333704, 750751, 1334596, 2085239, 3002680?\n\"Answer: 83399*f**2 + 52*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31669.14 litres to millilitres.\nAnswer: 31669140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 2*r**6\/3 - 376*r**5\/5 + 2881*r**4 - 106880*r**3\/3 - 124928*r**2 - 131072*r + 326. Determine z so that c(z) = 0.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 307.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56472509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 1, -3, 1\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:02 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 2*a + 3*n, 5*a - n = 30. Is a\/15 - 1758\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 7*h**2\/4 - h + 3.\nAnswer: -(h - 1)*(h + 2)*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + a)*(7 - 7 + 6*a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*x**3 + 72*x**3 + 13*x**5 + x**5 + 2*x**5 - x**5 + x**5 + 0*x**5 - 4*x**5 + (-2 + 2 + x**2)*(-3*x**3 + 6*x**3 - x**3).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 188023937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times -257458\nAnswer: -360441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 26*g**3 + 3*g**2 - 14*g + 5. Let w(z) = -9*z**3 - z**2 + 5*z - 2. Give -3*n(t) - 8*w(t).\nAnswer: -6*t**3 - t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 1 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23198 smaller than 23108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -38 + 4*k + 8 + 2 + 19 - 6*k. Suppose 4 - 1 = -o. Let v be m(o). Which is bigger: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -6, -19, -38, -63?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2\/11*k**2 - 2\/11*k**4 + 0 + 10\/11*k**3 - 10\/11*k = 0?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222310 + 78958 = -24*r. List the prime factors of r.\nAnswer: 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (1 + -1 - 0). Suppose -2*o + 15 = o + x*r, 2*o - 4*r = 4. Suppose o*b = -0*b + 32. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) 2\/21 (c) -2\/75 (d) -23\/3 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(88))\/(sqrt(99)*4).\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 7)*(-3*l + 2*l + 3*l + (-5*l + l + 6*l)*(4 - 2 - 4) + 0 + 0 - 2*l + l - 2*l + 3*l) to a*l + c and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6446 = -2*s, 2*p - 5*s = 2110 + 460. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4989*z. Let l(w) = -3*w**2. Calculate h(l(g)).\nAnswer: 14967*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4210.23026 + 0.3\nAnswer: 4210.53026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 c, and 1 y when four letters picked without replacement from {y: 4, c: 1, u: 2, n: 1, b: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312272 - 113569. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*f + 3*f + 4*f)*(17 + 12 - 14) - 33 - 3*f + 31*f + 36)*(-3 + 4 + 0).\nAnswer: 58*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16794 less than or equal to 16611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - -5) + 11 + -12 - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(sqrt(245) - (sqrt(245) + -1 + sqrt(245) + -1))**2*-2)*-4 + 4.\nAnswer: -896*sqrt(5) + 7968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 67*l - 782 - 38 = r - 0*r, 2*r - 2*l - 32 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 8*z - 3*z. Let i be 45\/(-75) - (-5)\/((-225)\/18) - -6. Which is the closest to 1\/19? (a) -5 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131627448 divided by -4?\nAnswer: 32906862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 5*k - 61, -3*k = 3*x - 42. Solve -k = -3*v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/23)\/(y\/y**21))\/(y\/(y*y*y**(4\/7)*y))**(3\/28) assuming y is positive.\nAnswer: y**(45603\/2254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 646952861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-31\/2)*(m*m**(-5\/3)\/m)\/m*m**(-3\/5) assuming m is positive.\nAnswer: m**(-563\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32735 = 13*d + 29353. Let q = -3026 - d. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3895 - 210193\/54. Find the common denominator of -85\/576 and a.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7664 = -17761. Suppose -v = -10*r + 9805. Suppose 5*g = -r + 4044. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252732 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: Differentiate 252*d**2*r - 4879*d**2 - 4*d*r - 591*r - 255475 with respect to d.\nAnswer: 504*d*r - 9758*d - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5114\/11547 - 2\/1283. Let s(j) = -j**2 - 7*j - 1. Let f be s(-6). What is the third smallest value in f, 2, k, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29846489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -29*c**5\/2 + 287*c**4\/2 - 811*c**3\/2 + 493*c**2\/2 + 30*c = 0?\nAnswer: -3\/29, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 80\/30*9*(-1)\/(-4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4964516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/4)\/k**(-1\/5))\/(k*k**(-2\/9))**(-5\/3))\/((k**(-1)\/(k\/((k**(1\/10)\/k)\/k)))\/(k**(1\/11)*(k*k*k**(-1)*k*k)\/k)) assuming k is positive.\nAnswer: k**(40019\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-14)*((-150)\/(-250))\/(52\/130)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*j**3 - 290*j**3 + 876*j**3 - 286*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 12*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Let w be (-16)\/(1 - -1) + 2. Let h = 5 + w. Put 4, u, h in descending order.\nAnswer: 4, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44, -162, -294, -446, -624, -834, -1082, -1374?\n\"Answer: -t**3 - t**2 - 108*t + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Let l(a) be the second derivative of -21*a + 0*a**2 + 0*a**3 + 1\/12*a**4 + 0. Calculate 3*l(n) + p(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:46 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0 + 2\/1. Let f(n) = -2*n**2 + 48*n + 53. Let u be f(25). Is u at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5041 in 9, -22, 1, -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 17. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*g - 59344 = 0, -r + 2*g = -9059 - 10719. What are the prime factors of r?\nAnswer: 2, 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 - 3*k - 5. Give o(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8786589 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 509*h + 611 wrt h.\nAnswer: 509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 s when four letters picked without replacement from vsvvsisvvivvvivvivsv.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/x**(-5\/6)*(x*x\/x**(-1\/2))\/((x*x\/x**(-5))\/x))\/((x**(-2\/9)\/(x*x\/x**2))\/(x**0\/(x**(-4\/5)*x))) assuming x is positive.\nAnswer: x**(-344\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12660*t = 12563*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s + 118560 = -40*s. What is the highest common factor of s and 2145?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -9 - (6\/(-39) - (1035032\/13)\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 498\/3*(-3)\/(3*2). Let p = -76 - d. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17636*b - 88189. What is v(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9137, 18275, 27417, 36563?\nAnswer: 45713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 44, 196, 2 in descending order.\nAnswer: 196, 44, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4619 - 2863. What are the prime factors of q?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 17\/4 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 8*t - 21*t + 5*t + 5*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 4*f**4 - 5*f**4 + f**4 - 2 + 11*f**4 + f**3 + 2*f to r*f + t*f**2 + v + o*f**4 + s*f**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from japggggggaggjaag?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 17\/5 (c) 2 (d) 2\/9733\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2\/17, 7, -0.3 in descending order.\nAnswer: 27, 7, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 328 in -3\/4, -5, 0, -1.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101.5 - -101.5. What is the closest to -2\/7 in 5, 2, f, 51?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 + 3. Let a = -318 - -324. Let q(f) = -f**2 - 3*f. Let g be q(-3). Suppose -w + g = a. Let s(r) = 10*r**3 - 4. Give w*t(k) - 5*s(k).\nAnswer: 4*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1681 + -977. Let n = -1329\/2 + a. What is the common denominator of -81\/22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 + -82. Let d be (r\/(-5))\/6*4. Let h = 13 - 8. Which is the closest to -2? (a) -1\/3 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0*j**5 + 0*j**3 + 1\/15*j**6 + 0*j + 20*j**2 + 0 + 7\/12*j**4. What is the second derivative of u(w) wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17968 is divided by 443?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 38*f - 1. Let l be y(5). Suppose 4*q - q = l. Suppose 2*s = x + 98, 0*s + q = s + 3*x. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*q - 158*q + 3*q**4 + 53*q - 24*q**3 + q**3 + 53*q + 1 to b*q + y + t*q**4 + j*q**2 + v*q**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 j, and 1 w when four letters picked without replacement from jllwfwwfjwjj?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -11. Let x = -1 - t. Suppose 2*r - 39 = o, 4*r - x*o - 139 + 59 = 0. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1438 divide 41893254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 4:24 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-45) + 12\/36?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7052 divided by -164?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 4. Let v = -4 - h. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241 - -66. Let z = t - 164. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0484 and 10295?\nAnswer: -498.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59997312 times 0.01?\nAnswer: 599973.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = 0, -34*p + 4*l = -32*p - 10588. Is p a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 + (9 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 100010011101101000010010?\nAnswer: -100010011101101000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from {h: 4, v: 4, i: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-6)*(-356)\/3. Let b(z) = -z**3 + 44*z**2 - 41*z - 148. Let c be b(43). Let l = u + c. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -1. Suppose -3*k + 5 = 4*a - 0*k, 8 = 4*a + 4*k. Let b = -1500 - -2999\/2. What is the closest to b in a, 4, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/37, 4 in increasing order.\nAnswer: 2\/37, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2191*a**3 + 2189*a**3 + 3*a - 4*a - 2*a - 11.\nAnswer: -2*a**3 - 3*a - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -242338 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -308 - -326. Is 4\/j + 9\/((-729)\/(-374283)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:12 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/5 - 2910*u**3 + 1827264*u**2\/5 - 56883512*u\/5.\nAnswer: -2*u*(u - 62)**2*(u + 7399)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 - -0.4. Let q = -27 + 132. Suppose q*f = 109*f. Which is the closest to 0? (a) 0.2 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(8 - 8 + 3*t**2) - t**2 + t**2 - 2*t**2 - 89*t**2 + 31*t**2 + 32*t**2 as a + g*t + u*t**2 and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -549153395*r**2 + 865670114*r wrt r.\nAnswer: -1098306790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -631 - -635. Let u(l) = 3*l**2 - 5*l - 2. Give u(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 - 5*d - 2. Let g be y(-5). Suppose -t = l - 164, 0 = -5*l - 5*t + 3*t + 811. Let s = l + g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11398.2354 to the nearest integer.\nAnswer: 11398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**4 - 2*u**3 + 7*u**2 - 2*u.\nAnswer: -144*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 6240\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10362, -5, 3 in increasing order.\nAnswer: -5, 3, 10362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19022 by -5.\nAnswer: 19022\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 6*g**2 + 2*g**2)*(-6 + 2 + 2) + 4*g - 10*g**2 - 4*g - 15*g**2.\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333 - -1?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 - 0.06. What is the closest to 2\/7 in -4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Let g = -1002 - -1005. What is the closest to 3\/8 in 5, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-two fifths of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 250432*u - 7839523328.\nAnswer: -2*(u + 62608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15440804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:59 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 10:58 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 207112*s - 2680961284.\nAnswer: -4*(s - 25889)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 9, 2477\/23?\nAnswer: 2477\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1961*u. Let z(c) be the second derivative of -c**3\/3 - 53*c. Give z(f(a)).\nAnswer: 3922*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5, -2*x + f - 15 + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13*w + 312 = 0. What is the greatest common factor of 234 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)\/((-1)\/6). Let w = -5 - q. Suppose a - z + w = 2*a, -4*z = -a + 11. Solve -y = a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1836 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -1\/15*w**3 + 10*w - 49\/10*w**2 - 187. Let q(b) = 0. Calculate b.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 1. Let y(m) = m**3 - 8*m**2 + 6*m + 8. Let h be y(7). Let x(j) = -j**2 + 2*j. Let v be x(h). Give n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, 2, -6, 7 in descending order.\nAnswer: 7, 2, -3, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*r + 25. Let n = 66 + -48. Calculate the smallest common multiple of n and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9203 + 0.0797. What is the closest to 446 in y, 0.3, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 5*y + y + 9*y. Let i(d) = 2*d - 2*d + d. Calculate i(z(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2950 is divided by 2941.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.33 - -0.23. Let m = -2.1 + 2. Let y = m + t. Which is the smallest value? (a) y (b) 2\/17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412735*r**2 + 13*r + 14454992.\nAnswer: -825470*r + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/30 + 3*n**2\/2 - 2*n. Let q(b) be the first derivative of x(b). Let j(o) = -2*o + 2*o + 4*o**2. Calculate q(j(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f**4 - 84440*f**3 + 84440*f**3 + 106 wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22080 divided by 8.\nAnswer: -2760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -28*i. Let g be b(-2). Let a be 4\/((-99)\/21 - -5). Calculate the highest common divisor of g and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from bbbbbbbbbbxbx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -2*m**6\/5 + 11*m**4\/12 - 15*m. What is the third derivative of k(i) wrt i?\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) + 364\/70. Suppose -3*g + 1 - 7 = n, -4*n + c*g = -10. Suppose n = 3*o + 216 - 936. What is the greatest common factor of 30 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let r(p) = -p. Calculate 2*g(a) - 3*r(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 4*a - 2. Suppose -b = -v - 19, -2*v = v + 3*b + 33. Let y be 48\/v - (-2)\/10. What is q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 42*c + 66. Let a be s(0). What is the greatest common divisor of a and 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -181*q + 2 - 2*q**2 - 176*q + 366*q. What is p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 29 + 49 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67953.\nAnswer: 3, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13836861.\nAnswer: 3, 17, 90437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510503 (base 6) in base 4?\nAnswer: 200220213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-0.0045.\nAnswer: -0.000405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2323244 at most as big as -2323167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60421 in -49, -1\/8, 6?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/828410 and 13\/2786470.\nAnswer: 30651170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 11, n: 2, j: 7}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13893 + -14043.95. What is y rounded to the nearest integer?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -30. Let x = 8.7 + o. Let k = -9 - x. What is the third biggest value in -4\/3, -0.3, k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32b53 (base 12) in base 4?\nAnswer: -100123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-14) + 3972\/28. Suppose 0 = 4*o - 2*o - c. What is the lowest common multiple of 62 and (-4)\/(-16) + o\/4?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -6.3. Let i = l + -1.300002. What is i rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 15*h + 15*h - 10 - 27*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(10 + 12 + 9)*(3*g + 4*g - 12*g) to the form k + m*g and give m.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2227 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205 by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -56.697?\nAnswer: -283.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*i**2 + 1 + 2 - 1 + (-i**2 - i**2 + 0*i**2)*(-2 - 2 - 1))*(-5*i + 8*i + 8*i).\nAnswer: -77*i**3 + 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 16*m - 16. Let a be k(2). Suppose -s + 5*b - 6 = 0, s = -5*b - 2 + a. Solve -6*q + 2*q + s = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5404 + -0.0404. What is the nearest to b in 2\/9, -2, -3, -5\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/417864 and 45\/278576?\nAnswer: 835728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9\/(-7) - (-48)\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 348.76354931 and -5.\nAnswer: 343.76354931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 203*t + 348. Calculate the remainder when 1191 is divided by p(14).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 times 4.44\nAnswer: -395.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = 3*b - 33, 0 = 4*b + 5*k + 20. Suppose 3*w = -76 + 88. Suppose 4 = -w*i - b. Which is smaller: i or 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562871 (base 10) to base 11.\nAnswer: 354991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 18*w**2 + w - 1. Let c be t(1). Let f(i) = -i**3 + 19*i**2 - 14*i + 1. List the prime factors of f(c).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -667906240*d**3 - 4*d**2 + 900375*d + 25?\nAnswer: -4007437440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2403*b + 19218. Give h(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnyfrly. Give prob of sequence nyp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/68)\/(0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5415 + 5225 = 532*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*2013\/61?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 74912.8924 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53168.03 kilometers?\nAnswer: 53168030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 237765, 951014, 2139757, 3803994, 5943725, 8558950, 11649669?\n\"Answer: 237747*g**2 + 8*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 132. Let n = 31 - f. Let y = n - -22. Calculate the highest common divisor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2542454 is divided by 4324?\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - b = -40, 836*v - 282*v + 2*b - 72 = 275*v + 283*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391641.\nAnswer: 3, 130547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -598593, -1197211, -1795837, -2394471, -2993113, -3591763, -4190421?\n\"Answer: -4*r**2 - 598606*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-9 - (-62)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:38 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8749*a - 1314*a + 2563*a to x*a + w and give x.\nAnswer: 9998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -19*k + 13*k + 12*k - 3*k + 41. What is t(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 619.5 - 620. What is the second biggest value in -3\/4, -53, s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 2*a**2 + 1. Let t(u) = -14*u - 17. Let f(m) = -2*m - 2 - 4 - 3*m. Let w(q) = -17*f(q) + 6*t(q). Determine d(w(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*a + 24*a - 18*a in the form o + r*a and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19880 is divided by 641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -6\/83 (c) -1\/10 (d) 3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/1078)\/(6\/4)*(-1)\/((-9)\/(-21)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((-2 - 2) + 2). Let w = 6 + -11. What is the second smallest value in w, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 1. Let f(x) be the first derivative of -x**2 + x + 4. Let b be f(a). Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -27, -125, -259, -429, -635?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 + 1408*g**2\/3 - 6998*g\/3 + 1864.\nAnswer: -2*(g - 699)*(g - 4)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by -396841.\nAnswer: -260\/396841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.3. Let m(c) be the first derivative of c**3\/3 - 2*c**2 - 7*c - 4. Let s be m(5). Put s, 0.3, j in descending order.\nAnswer: 0.3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 147971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-2\/11)*n*n)\/n)**43*(n\/(n**17\/n))\/(n*(n**(1\/4)*n)\/n*n) assuming n is positive.\nAnswer: n**(4573\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3880512 divided by -1293504.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 124. Suppose 4 + 4 = -4*b + 4*j, j - 6 = 3*b. What is the smallest value in b, r, 0.08, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose u = 3*w + a - 1 - 10, 4*w + a = 16. What is the remainder when 17 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (1 - 0)*(1792 + 1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -185*d**2 + 1245*d + 350 = 0.\nAnswer: -10\/37, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9458739223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4 + 6 - 4*o**2 + 6*o**2 - o**3 - 4*o. Let n be j(3). Let c = n + 44. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -28 + 18\/(-3) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + -3 - (-6 + 11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4404)\/(-23121))\/((-16)\/6*1\/(-12))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1459 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25872*v**4 - 2*v**3 + 26*v**2 - 590*v wrt v?\nAnswer: 620928*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/22*231\/42. Let n be ((-15)\/(-235))\/(3\/(-4)). Which is the biggest value? (a) x (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 44 + 0*j - 52 - j. Let s be p(-3). Let f(g) = g**2 + 3*g - 2. Give f(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 291*l - 5272. Give w(18).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.87694 years to decades.\nAnswer: 1.087694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217190595 rounded to five dps?\nAnswer: 0.21719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzzwhzzzhzzwzwzzzw. Give prob of picking 4 z.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 1 + 1\/42*h**4 + 1\/7*h**2 + 2\/21*h**3 - h. Let o(u) be the first derivative of y(u). Factor o(k).\nAnswer: 2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q - 32*q + 88*q + 132 = 0. Calculate the greatest common factor of q and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 1201?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.386 rounded to 0 dps?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14428 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 4 + -3)\/1. Let z(s) = s**3 - 4*s**3 + 2*s**3. Let q(h) = 7*h**3. Determine p*q(w) + 6*z(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.42657 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546 + 3036*x - 278 - 3020*x - 268.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 2*q. Suppose -2*u + 17 = 11. Is 10 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1618 = 2*i - 7*f, -4*i + f + 3176 = 0. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (5 - (5 + (8 - 4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -2) + 72\/1. Suppose k + 18 = a. Suppose 2*t + 3*t = k. What is the remainder when 18 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42119057 to the nearest integer?\nAnswer: 6490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-276)*23 + -5\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 8, 2\/7, 11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, q: 2, s: 1, c: 1, h: 2}. Give prob of picking 1 c, 1 q, and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1716.322726887 and 11.\nAnswer: 1727.322726887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by 12568.\nAnswer: 114\/1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 1:31 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(-21) - (-8)\/28. Let u be -4 + (24\/(-30))\/(2\/(-40)). Suppose -4*p = 11*d - 15*d + u, -9 = -3*d. Solve -1 = -b*j - s, 3*s = j - p*s - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, 14, 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*l = 42, -3*l + 33 = 3*k + k. Suppose -6*s = -3*s + k. Is ((-785)\/s)\/(4\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -r - 2*c, 59*c - 54*c = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*y - 3. Let t(l) = l**3 + 7*l**2 + 4*l - 2. Let k be t(y). Let d be (k\/(-25))\/((-7)\/(-5)). Sort 5, d, -5.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*q - 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. Let i = r - -1.5. Let y = -0.7 - -0.7. Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*5*-4*574\/2870.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 10*j - 7. Let k be y(9). Suppose 4 = -k*s + 12. Suppose -2*c - 2 = -s*c. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 + 291585*o**3 - 4250653210*o**2 - 12754000800*o - 8503056000 = 0?\nAnswer: -2, -1, 29160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 9. Let v be a(7). Suppose 4*f - 10 = -s, -4*s - 12 - v = -2*f. Let y = 2 - 6. Sort 4, f, y in decreasing order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74827590 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + -4 - (sqrt(11) - sqrt(891)*-5)) + 3.\nAnswer: -45*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.145*0.1.\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -55.94. Let w = n + -0.06. Let r(z) = -z + 8. Let u be r(6). Which is the third smallest value? (a) u (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17895 divided by -5.\nAnswer: -3579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(180))\/(-4*sqrt(300)) + 5.\nAnswer: -sqrt(5)\/240 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*h - 228*h**4 - 59*h)*(-4*h + 3*h + 3*h).\nAnswer: -456*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 + 56 + 3 + (3 - 12)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000 (base 2) to base 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1792, 14309, 48292, 114475, 223592, 386377?\n\"Answer: 1789*z**3 - z**2 - 3*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2120339, -2120341, -2120343, -2120345, -2120347, -2120349?\nAnswer: -2120351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(108) - sqrt(108)*-1))*1 - (-2*sqrt(108) + -2)*-5)**2.\nAnswer: 960*sqrt(3) + 7012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267.5 - -268. Put f, 5, 2\/7 in ascending order.\nAnswer: 2\/7, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 713 = -3*x, 2*x = v - 2*v - 476. Let g = -62 - 301. Let p = x - g. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:47 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*u - 292, 3*s + 3*u - 2*u = 458. Suppose -s + 1070 = w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*79410.01.\nAnswer: 31764.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31136, -69847, -108572, -147317, -186088, -224891, -263732?\nAnswer: -302617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 161710, -1.\nAnswer: -1, 77, 161710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/19 + 6*p**3\/19 - 8*p**2\/19.\nAnswer: 2*p**2*(p - 1)*(p + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121421098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/9)\/4*-12. Suppose 5*y = c*y - 12. Suppose -s + 4*o - 5 = -y, s + 2*o = 5. Solve 2*q + s*q - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8552 is divided by 384.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2165 + 2169. Let o = -1 - -1.05. Which is the third smallest value? (a) 1 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = 2*s, -11 = -m - 0*s + 4*s. Find the second derivative of -m*a**2 + 3*a + 2*a**2 - 2*a**2 + 6*a**2 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:53 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.1. Let v = j - -0.3. Let t be (-39)\/(-36) - (-2510)\/(-6024). Which is the biggest value? (a) -3\/2 (b) t (c) v (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 5*v**4\/12 - 2*v**3\/3 - 3*v**2\/2 + 12*v. Let g(d) = -11*d**2 + 9*d + 7. Determine -6*g(o) - 13*q(o).\nAnswer: o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*k + 672 = 0, 5*x + k = -0*k + 678. What is the lowest common multiple of 408 and x?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 43, -24, 253, -1 in descending order.\nAnswer: 253, 43, -1, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 6*k**2 - 221*k - 1207. Determine u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.284 + 0.284. Let g = -47 - w. What is the third biggest value in -3\/8, 4\/9, g?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d + 3. Suppose 0 = q + 1 - 0. Let p be 1 + (-2)\/1 - q. What is w(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -559 - -563. Solve 2*q + 3*a = 12, -s*q + 23 = 4*a + 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9335323889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2071247830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 839077\/5 + -6823551\/40. Let p = h - -2783. Let t = 2\/127 + -897\/508. What is the common denominator of p and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9*s = 1516. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or -13?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43354 is divided by 138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 20529 (c) -3.8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -152, -241, -346, -473?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -9*d**6\/10 + 18*d**5\/5 - 11*d**4\/2 + 4*d**3 - 3*d**2\/2 + 14*d. Solve h(a) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v*v**(-1\/3))))**(1\/3)*v**(-1\/2)\/((v\/(v\/(v*v*(v**(-2\/15)*v)\/v*v)*v))\/v))**27 assuming v is positive.\nAnswer: v**(-219\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z + 15. Let n(u) = -2*u**3 - 2*u**2 + 2*u - 1. Let d be n(z). Which is the biggest value? (a) d (b) -0.11 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12702, 12658, 12588, 12492, 12370?\n\"Answer: -13*a**2 - 5*a + 12720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*l = 107*l + 27. What is the lowest common multiple of l and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - x - 43, -3*r = -4*x - 132. Suppose b - r = -4*b. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*f + 35*f + 24. Suppose -5*c = 3*d + 5, 5*d - f = -2*c + 5. Calculate the lowest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.005 - -0.105. Let w = t + -0.1. Put 3\/5, 1, w in increasing order.\nAnswer: w, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 92. Let b be (-22)\/77*(-1)\/w. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5809, 5811, 5813, 5815?\nAnswer: 5817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*104\/390?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 1426*g - 30421. Determine d(21).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 12.24?\nAnswer: 12.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1287027 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 27*u - 1. Let w be r(1). Let a be (9\/2)\/(1\/w). Suppose 4*z - z = a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 149*g - 54*g = 154. Solve 20 = -4*a + 4*v, -a + 16 - 22 = -g*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 26 = -2*o - 2*q, 4*o = -2*q - 44. Suppose -810 - 226 = 37*v. Let n = o - v. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7423958, -1\/4, 0.2 in increasing order.\nAnswer: -1\/4, 0.2, 7423958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-18)\/(-24) - 121\/156)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 104, 2\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 21*l**2 - 1. Does 9 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 11347*s + 1445606. Calculate y(126).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + j**2 - 7*j**2 + 8*j + 3*j**3 + 5. Let r be k(3). Solve -r*b = -2 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 22 + 546 + -581.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -8\/7, 1.845, -48?\nAnswer: 1.845","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:13 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*a**4*u**2 - 183*a**2*u + 2*a*u**2 + 242*a + 38*u**2 wrt a.\nAnswer: 1452*a**2*u**2 - 366*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*g + 33 - 27, 0 = -3*g - 12. What is the least common multiple of y and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*r + 5*d - 150, 150 = 5*r + 5*d. Does 10 divide (-4 + 3)\/((3\/r)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -3)*(-3)\/(-3). Let v be 1\/((0 - i)\/12). Is (-4 - 0)*597\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151599, -303214, -454835, -606456, -758071, -909674?\nAnswer: -1061259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5125122 is divided by 578.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + (sqrt(1152)*1 - sqrt(1152)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 5.6. Let n = z + -0.3. Let g = n - 3. What is the closest to -2\/7 in -0.3, g, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:16 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-720)*70\/(-12)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 + 0*z**2 - 5*z**2 - z**2 + 0*z**2 + 2*z**2 + (-z + 0*z + 3*z)*(5 - 5 - 7*z) to the form l*z + d*z**2 + s and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3466 - 19*g**3 - 1729 + 2*g**2 - 2*g - 1739. Let t(q) = q**3 - q**2 + q + 1. What is i(j) + 2*t(j)?\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249*j + 2252*j - 982*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 2. Let l = j + -3. Suppose 4*h = -5*v + 8, -l*v + 5*h = -0*h - 27. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/56851171?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -652*n + 652*n - 4*n**2 - 10*n**4 + (3*n - 4*n + 2*n)*(n**3 - 4*n**3 + 2*n**3).\nAnswer: -11*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 76806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (990\/44)\/(57\/(-38)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u - 96. Suppose 5*z - u = 52. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-5))\/((-6)\/40). Let x = 440 - 428. Solve u = -4*s - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 - 8*l + 14. Let x(p) be the third derivative of p**5\/15 + 7*p**4\/24 - 13*p**3\/6 - 543*p**2. Determine -5*i(b) - 6*x(b).\nAnswer: b**2 - 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/4 + 151*g**3\/3 - 5775*g**2\/2 + 5625*g - 392. Factor w(c).\nAnswer: -(c - 75)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58466362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m - 68. Determine s(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 + 7*r**4\/12 + r**3 - 16*r**2 + 295*r. Let t be v(6). Calculate the highest common divisor of t and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68863.96 rounded to the nearest 100?\nAnswer: -68900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12769 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595 - 1632.\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106 divided by -7.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1132, 1673, 2160, 2587, 2948, 3237, 3448, 3575?\n\"Answer: -f**3 - 21*f**2 + 611*f + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l. Let t(v) = 6646813*v**2 + 2. What is t(n(d))?\nAnswer: 239285268*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1269 times 0.05?\nAnswer: -63.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, c: 3, g: 2, y: 1}. What is prob of picking 2 g and 1 b?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = -y, -3*l - 2*y + 19 = 17. Let d(o) = -2*o**2 + 5*o - 1. Let q = 4 - 1. Let c(k) = 2*k**2 - 4*k + 1. Let f(h) = q*c(h) + 2*d(h). What is f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 + 59*v - 59*v + 2)*((2*v - 8*v + 7*v)*(-9 - 6 - 20) - v - 4*v + 3*v) in the form l*v**2 + a + z*v + n*v**3 and give n.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + 19 - (20 + (-5 - 13)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let h = f - 1. Let k = 3 - h. Do -1\/3 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 3 + 1 + 3 + (-2*z + 5*z - 6*z)*(1 - 3 + 1) + 14 + 11*z - 14 + (-4 + 2 + 3)*(-2*z + 0 + 0) to w*z + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 228927670 rounded to the nearest 10000?\nAnswer: 228930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 418 and (4 - 6)\/((-10)\/45)?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132235063 to the power of 1\/2, to the nearest integer?\nAnswer: 11499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60\/209 + -108473\/1463. Let q = m + 74. Which is the smallest value? (a) -1 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -9 - (-7 - (-6 - -4)) - 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19138373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 1134*v**3 - 3*v**2 + 410*v**3 - 4*v**2 - 2*v.\nAnswer: -724*v**3 - 7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 10 + 10. Let t(u) = 5*u + 25. Let i be t(n). Is (8 - 0)*(60\/8 + i) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470273971 to the power of 1\/3, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**23)\/((o**(-7\/4)\/o*o)\/o))\/(((o**(-25)*o*o)\/o)\/(o\/o**(1\/30))) assuming o is positive.\nAnswer: o**(3103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2) - 1)*(-22)\/11. Let k be 10*(-5)\/(-2)*1. What is the highest common factor of k and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, k: 9}. What is prob of picking 1 t and 2 k?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/23)*j**7)**(-2\/69)\/(j**6\/j**(-3\/5))**37 assuming j is positive.\nAnswer: j**(-646529\/2645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 62.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:51 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 - 9789*t + 58842 = 0.\nAnswer: -3269, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = 34*k + 289 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = 4*t, -t - 48*l = -50*l + 8. Put 2, -25, 5, t in decreasing order.\nAnswer: 5, 2, t, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*n - 1, -4*n + 5*y = -n - 37. Let r = -9542 + 9510. Sort 0.5, n, 5, r in descending order.\nAnswer: 5, n, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 5.08. Let y = -686.9 - -687. Which is the nearest to y? (a) -4 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(6*2*sqrt(637) - -2*sqrt(637)*-5)*-3.\nAnswer: -126*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 3*u**2 - 3*u - 3. Let m(p) = p**3 + p**2 - p - 1. Let h be m(-2). Let b be w(h). Calculate the greatest common divisor of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/12*36\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -284, -444, -626, -836, -1080, -1364, -1694?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -330.8 - -331.3. Which is the closest to 5\/48? (a) 4 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7884 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58, 63, 80, 115, 174, 263, 388, 555?\n\"Answer: v**3 - 2*v + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -156\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-2*sqrt(108)))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 1:24 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 18 = 3*c. Suppose 0*r + r = c. Suppose 0 = -l + 2*x - 6, 3*l - 5*x + 5 + r = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-277)\/(-99720)*660)\/(2\/3).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.28 - -2. Let i = 261.62 - 262. Let l = i - u. What is the closest to l in 1, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -477565*i**4 - 230*i**2 - 2*i - 1589?\nAnswer: -11461560*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2385445, -3, 11 in increasing order.\nAnswer: -3, 11, 2385445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 7*h - 736. Let v be z(32). Solve 0 = -5*w + v - 44 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - (1 - 9 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 17}. Give prob of sequence rrm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/(0 + 2\/4902). What is q rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/46)\/((-18)\/(-18)). Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.09 + -0.09. Let y = -3 + m. Is 3 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-501)\/(-15) - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 49803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxu when three letters picked without replacement from uxtwxxutxxatx.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - a**2 + 6 - 3*a + 1. Let v be 0 + -4 + 3\/3 + -3. What is b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-10)*w*w*w**(-2\/7))\/(w\/(w\/(w**0\/w)))**(-3) assuming w is positive.\nAnswer: w**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 4*u - 6. Let x(z) = -z**2 + z - 1. Let h(j) = v(j) - 2*x(j). Let l(p) = 4*p**2 + 7*p - 15. Calculate -22*h(o) + 6*l(o).\nAnswer: 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2013 (base 4) to base 3\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 2. Let x be l(-4). Let a be (-74)\/(-10) + 4\/x. Suppose z + 0*z = a. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 315 = -348. Let g = 13 - -17. Let i = c - g. Solve -5*d + i = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 3*h - 2*h)*(-1 + 1 - h) - h - 3*h - 969*h**2 + 975*h**2 to the form g*h**2 + x + j*h and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 720\/324*-1*(2 - -1)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.7567 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 737 = 4*y - 0*w, 4*w + 12 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1884 times 0.259\nAnswer: -487.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 3*v**2 + 2*v - 10. Let o be w(-4). What is the hundreds digit of ((2*238)\/o)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 0)*(-4*w**2 + 7*w**2 - 2*w**2) + 2 + 4 - 94*w**2 + 4*w**2 to d*w + r*w**2 + l and give r.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/241 (c) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*v*y + 71*c*y - 2822*c + v*y + 23031*v wrt v?\nAnswer: -3*c*y + y + 23031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (8 + 3 + -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (-2)\/(-1) - (3 - -5). Let c = v + 31. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8*q**2 + 3*q + 11. Let n be r(-8). Let m = n - -13. Which is bigger: m or -2\/31?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 2*i + 6. Suppose -42425*l + 42474*l - 3332 = 0. Calculate the remainder when l is divided by z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 3*j - 50. Give v(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 167575987?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-3 - ((5 - 17) + 2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 42 = -21*a + 214. Solve -5*f + 23 = -d, 0 = a*d - 22*d - 3*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 9 - (7 + 413\/(-7))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1)\/(6\/(-9)). Let m(c) = -c**3 - 4*c**2 - 2*c - 4. Let x be m(s). Let g = x - -16. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2945415 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 + 5*f - 8. Let y = -1 - 5. Determine z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 775247 + -2?\nAnswer: 775245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 2:43 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4447 = t + 816, 4*w = 3*t + 3619. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.759 - 1.3124\nAnswer: -22.0714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*d + 22 = -2*d, 0 = 4599*d - 4597*d - 60 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(0 - 2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 5 + 0*z + 1\/3*z**3 + 0*z**2. Let c(v) = -2*v**2 - 5. Let p(y) = -y**2 - 2. Let x(w) = 2*c(w) - 5*p(w). Give x(s(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2. Let v(w) = 0*w - 4*w - w. Let y(k) = -9*k - 4. Let c(g) = -2*g - 1. Let s(i) = -4*c(i) + y(i). Let m(j) = -2*s(j) + v(j). Calculate n(m(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 9*p + 11. What are the prime factors of x(-8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1854262, -1854261, -1854260, -1854259?\n\"Answer: t - 1854263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 81*b + 79. Let l(a) = -162*a - 156. Let u(g) = 2*l(g) + 5*n(g). What is the first derivative of u(y) wrt y?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124.2 - -125. Let m = l - -2.2. Which is the smallest value? (a) m (b) 1 (c) -8 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 9*f - 32. What is the remainder when 150 is divided by j(14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7323739.\nAnswer: 311, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 829*n - 141610. What is v(-588)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-95881)\/((63\/(-7))\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = 4*g + g, 3*r - 5*g = 31. Let s(y) = 3*y + 4 + 7 - y. Let c(k) = -k - 5. Determine r*c(z) + 3*s(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 501075 and 459.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/25 in -0.3, 0.5, 0.03, -0.43, 4, -7\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 5, 19\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let f(p) = -4*p**2. Let t be -3*(1 - 0)*-1. Let l be -2 + (t + 0 - -5). Let x(o) = -o**2. Let i(u) = l*x(u) - f(u). Determine i(b(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - y + 9. Let b(p) = -2. Let r = 4 - 6. Suppose -2*h - 34 = -4*i, -5*i - 2*h + 6 = -41. Let n = i - 18. Determine n*b(u) + r*q(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = -5*p + q, p + 3*q + 8 = 0. Let h be (-35)\/(-14) - (-1)\/p. Suppose -5*l = -r - 716, r = -5*l - h*r + 732. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n**3*r**2 - 273*n**3*s - 162*n**2*r**2*s + 3*n**2*s - n*r**2*s wrt n?\nAnswer: 48*r**2 - 1638*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -573295 rounded to the nearest ten thousand?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244220516 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700 divided by -1700?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.8, -45, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let w(v) be the first derivative of 44*v**3 + 54. Give w(a(n)).\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79716.65mg in micrograms?\nAnswer: 79716650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - 0.05. Let y = z + 0.46. Which is bigger: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -882 - 263*h**2 + 1758 - 877 in the form s + a*h**2 + p*h and give a.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from aaiddca.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 + 3*h + 9. Determine o(-7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 108 + 252. Let c = j - 28. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 42. Let h(s) = -41*s**2 - 30*s + 13. Let d(b) = 41*b**2 + 20*b - 9. Let p(i) = -3*d(i) - 2*h(i). What is p(v(n))?\nAnswer: -164*n**2 + 6888*n - 72323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 3. Let u be o(4). Let p be 1\/((-6)\/(-30)) + -6. Which is the nearest to u? (a) 2\/7 (b) -1\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 14 + -21 + -25 + -3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7.6. Let b = l - -0.4. Let k = 0.9 - b. What is the smallest value in 0.3, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -179, -270, -363, -458, -555, -654?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v + 10 + 11*v + 11 - 7*v - 27 in the form j + l*v and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3368937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.325821 millilitres in litres?\nAnswer: 0.006325821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 - 4*k**2 + 2*k + 2. Let y be f(1). Let b(d) = -6*d**2 + 15. Let v(m) = -2*m**2 + 5. Give y*b(g) + 8*v(g).\nAnswer: 2*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12471076 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(136) - (sqrt(136) + -1*sqrt(136))*2)\/(sqrt(72) + sqrt(72)*2 - sqrt(72)) - (-5*(-4*-2*sqrt(17) - sqrt(17)) + 2)).\nAnswer: -4 + 211*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487504763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69977 by -60.\nAnswer: -69977\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4000904?\nAnswer: 2, 500113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92614413?\nAnswer: 3, 4691, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2089265.829 to the nearest ten thousand.\nAnswer: 2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) - (-69)\/(-189). Let x = -0.25 - 0.05. Let l = 0.48 + -0.58. Which is the nearest to 0? (a) l (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.09593, 2\/3, 2 in increasing order.\nAnswer: 2\/3, 2, 3.09593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d**6*d)\/d)**(-36))**40)**(-12\/11))**(-1\/16) assuming d is positive.\nAnswer: d**(-7560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2212211022111 (base 3) to base 11\nAnswer: 9569a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 13004284?\nAnswer: -13004272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 287*v + 6988. Give z(22).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 1\/6, -0.1, 43, -0.76, 29 in descending order.\nAnswer: 43, 29, 4\/7, 1\/6, -0.1, -0.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 5*u**2 - u + 5. Suppose p = 9 - 4. Give j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 16*r**2 + 224*r + 512.\nAnswer: -2*(r - 16)*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/2 (b) -1\/8 (c) -0.3 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0032 (b) 12001 (c) 3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1)**2 + sqrt(11) + (sqrt(11) + sqrt(99)\/(sqrt(9) - sqrt(144)))**2.\nAnswer: 7*sqrt(11) + 944\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 65535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*f**2 - 32*f**2 + 4*f**2)*(3*f**2 - 2*f + 5*f**2 - 4*f**2) to the form c*f**3 + i*f**4 + y*f**2 + h + x*f and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 159*x - 173*x + 112. Suppose -x*s - 2684092 = -362492. Round s to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 67021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -229*r**4\/4 - 2747*r - 2807. Differentiate h(o) with respect to o.\nAnswer: -687*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 956 = 5*b, 4*m + 736 = -b + 5*b. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1552 and 1602052?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 - 12*y**2 - 9*y - 2. Let c be x(-21). Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 95 - 13 = 2*s, 3*j - 47 = 5*s. What are the prime factors of 126\/j*3640\/30?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 322*w + 278. Does 40 divide c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 211206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 7 + 7. Suppose -30 = -2*o + 4*k, -5*o + 2*k = m*k - 150. Calculate the greatest common factor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -825, 1, 3 in decreasing order.\nAnswer: 51, 3, 1, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = 5*v. Solve -v*q + 11 = 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1070*x - 10674. Let b be y(-10). Solve -2*p + 10 = 0, 2*a - p + b = 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - -10) + 27 + -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 23 = 5. Put 5, 121, f in decreasing order.\nAnswer: 121, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(15\/8)*c**(-12) assuming c is positive.\nAnswer: c**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850 and 23950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*s = 155, 0 = 5*d - 2*s - 1004 + 294. Let i = d + -99. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-44)\/(-660)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16983*p + 2*p**3 - 51551*p + 17398*p + 17037*p.\nAnswer: 2*p**3 - 133*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 10 = -5*l, 8*l - 3*l - 5*d = -20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79944095 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 7*b**2 - 27*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -727?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 28\/(-70)*(-3625)\/(-160)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378027 is divided by 322?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 92008102.\nAnswer: -368032408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:23 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 175 = -4*p. Suppose -2*g - 4*n - n = -56, 4*g = -3*n + 84. Calculate the remainder when p is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 185250968239849?\nAnswer: 185250968239848.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*l - 3*y, 2*l + 8 = -y + 5*y. Solve l*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 10. Suppose 5*s = l*s. Suppose 5*k = 5*x - 79 - 1, 4*k - 4 = s. Calculate the remainder when 50 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 691528337 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (135\/220)\/27*(-8)\/(-128)*16\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose -c*w = -3*w - 6. Let r(i) = i**3 + 6*i**2 - 1. Let o be r(w). Is o <= -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 122\/9 (b) 2 (c) 0 (d) 8 (e) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4464)\/624 + 8\/52?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + r + 2. Suppose -18*v = -140 - 2146. Let m = v - 125. What is q(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 1)*(-2 + (-10)\/6). Let w(d) = d**3 + 12*d**2 + 12*d - 8. Determine w(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164899 and -0.07.\nAnswer: 164898.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - r**2 - r**2 + 2*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*v + 115, 11*y + 8*v = 5*v - 25 + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 617205 and 163065561?\nAnswer: 815327805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11473613\/72 - 159360. Let a be (106\/32 + -3)\/((-2)\/(-28)). Let l = i + a. Is -1 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, i: 1, m: 8}. Give prob of picking 2 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 + (-29 - -12) + 10 + -1. Solve 0 = j*l - y + 8, -y = -5*l + 2*l - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)\/sqrt(16))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -869.75 times 2.6?\nAnswer: -2261.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1033755788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.1 - -14. Let p = -97 + 96.6. Which is the closest to t? (a) 3 (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 12*a + 3. Let o(z) = -z + 1. Let p(v) = 3*o(v) - y(v). Let n be 36\/8*(-8)\/(-4). Let u be p(n). Is u <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jqqjjjqjqjjjqj?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 5. Let q = 31 + -35. Let u be q\/18 - (-76)\/342. Calculate f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1926692 - 94*c + 1926692.\nAnswer: -94*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -61 + 89 + -130 - -87\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/4*(-116)\/(-12). Let i = m + -191\/28. Suppose 2*w = -4*l + 14, -3*w + 2*l - 9 = -2*w. What is the closest to w in 4, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14086 is divided by 306.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let r(k) = -44*k + 2. What is c(r(h))?\nAnswer: 88*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 11:50 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6576751 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4, -2*l + p = l + 61. Let s be (-102)\/(-10) + (-24)\/120. List the prime factors of l\/s + 32\/1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24322 - -43496. List the prime factors of u.\nAnswer: 2, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2424 + 60521?\nAnswer: 63145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 459?\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 4. Let d = -3123\/460 + 63\/23. Calculate the common denominator of (2\/v)\/((-40)\/70) and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 7*f**2 - 4*f - 11. Give g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*t + 410 = 365, 3*t = -5*n + 45. Let d(b) = 5*b - 9. Let v(f) = f - 2. Let q(u) = 4*d(u) - 18*v(u). Calculate q(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.05 + -1. Let u = -0.15 + p. Let w = 280.6 + -278.6. Which is the closest to 1? (a) w (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 28*n**3 - 7*n**2 + 6*n**2 - 3 + 3*n**2. Is i(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 15. Solve c - 4*c + 7 = -b, -b = -4*c + k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 191 = -2*l + 355, -4*i - 3*l + 1087 = 0. Let b = -2177\/8 + i. What is the common denominator of b and 71\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = -l, 3*l + u - 5 - 8 = 0. Suppose x + 16 = -4*h, -l*x - x - 2*h + 10 = 0. Suppose 9*d = x*d + 215. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*i + 7*i. Let f(w) = 22 + w**2 - 18 + 0*w**i. Let h be f(-3). Is 13 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38100, -76200, -114300?\n\"Answer: -38100*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d2 + -3fb1?\nAnswer: -3edf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -46. Suppose 0 = -4*b + 15 + v. What are the prime factors of 2062\/14 - b\/21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {s: 2, g: 1, x: 2, h: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-8)\/60*-15)\/(4\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 15*c**2 - 2*c. Let u(q) = -30*q**2 + 5*q. Give -15*b(n) - 6*u(n).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((21\/(-1820))\/(24*(-12)\/(-1440))).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -182 + 173. Is -3 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10569889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4.3. Let t = a + -1.6. Let r = -140 + 139. What is the closest to 1 in r, 4\/3, t?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/186615 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 7:20 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 174*q**2 + 1218*q + 2. Calculate c(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 11 = -s + 3*y, -5*y - 15 = 5*s. Let t be 2\/s + (-13)\/(-45). What is the nearest to 0.1 in 3, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunnunonuucuwnnounn. What is prob of picking 1 n and 1 w?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4\/7 + 94070*k**3 - 1316990*k**2\/7 - 94070*k + 1316988\/7 = 0.\nAnswer: -329247, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 7*r - 3. Let y be ((-30)\/(-8))\/((-3)\/(-4)). Give g(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + 45. Let n be (-6)\/(-9) + y\/6. Suppose o - 28 = -0. What is the highest common factor of n and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 155*x - 2. Let p(g) = -g. Calculate -n(u) - 6*p(u).\nAnswer: -149*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.963946 millimeters to meters.\nAnswer: 0.009963946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1627, 3211, 4795, 6379, 7963?\n\"Answer: 1584*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -30, -20, 32, 144?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 1:45 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.91708 years in centuries?\nAnswer: 0.6491708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -6*(sqrt(1377) + ((sqrt(1377) + -2 + sqrt(1377))*6 - sqrt(1377))))*-2)**2.\nAnswer: -368064*sqrt(17) + 28573636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + g)*((3 - 1 + 0)*(-5*g + 3*g + 3*g) + 4*g - g - g) - 18*g**2 + 5*g - 5*g.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-935106)\/(-2) + 1)*(-50)\/(-100) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, 5, 1.7, 32\/3, 3\/16 in increasing order.\nAnswer: -5, 3\/16, 0.2, 1.7, 5, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 less than or equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 2 (b) -2\/13 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 161 = 3*h, -30838*p = 3*h - 30871*p - 285 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(32 + 5 + 217 - t)*(0 - 1 - 1) + (-2 + 2 + 2*t)*(1 - 2 + 2) + 4*t - 3*t + 2*t.\nAnswer: 3*t + 508","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, 3, 27, 65, 117, 183?\n\"Answer: 7*j**2 - 11*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**2 + 32*i**2 - 103*i**2 + 33*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 73*z**2 - 390*z - 17. What is j(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 81 = 6*m - 7*m, 3*m + q = 223. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - l, 188*u - 184*u - 5*l + 11 = 0. Put u, 3, 52 in ascending order.\nAnswer: u, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53.8*-2539.\nAnswer: -136598.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.89 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10, 14 = w - 5*j - 1. Suppose 2*z - 7*z + w = 0. Solve 28 = -5*x + 4*i, -x = -z*i + 4*i + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1094 and 0.2.\nAnswer: -1093.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -998?\nAnswer: -7984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p - 26. Let z = -264 + 260. Let i be s(z). Solve i = -10*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - -84 - (5 + (4 - (31 - 1))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-18)*(-441)\/98 - 4\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783401 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: Let t = -0.16 - -0.46. Which is the second smallest value? (a) t (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/95, 0.4, 187017?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1197, 3041, 5653, 9033?\n\"Answer: 384*t**2 + 692*t + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 43, 97, 187, 325?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 + 54*f + 18. Let u be o(-7). What is the highest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfn when three letters picked without replacement from ufuccccvnncxcxxccc.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -22, 1292, 61 in decreasing order.\nAnswer: 1292, 61, 3\/7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z - 1. Let y = 20 - 19. Let q be b(y). Suppose 7*j = 10*j - q. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 47*c**3 + 30*c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 37*j - 2. Let a be x(1). Let q be a\/(-14)*1*-2. Solve q*i + 2 - 27 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 12*x - 6. Let f be w(-13). Suppose 17572 = -f*y + 11*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*q - 25, 0 = -q + 5*m - 39 + 12. Let c(i) = 3*i**2 + 4*i + 3. Let x be c(q). Solve 25 = -5*a, 3*a - x = 2*j - 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-16))\/(-3)*275\/125?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o - q - 1, -59*o = -51*o + 2*q - 42 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 756 = -20*y. What is the remainder when y is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010794483 to seven decimal places.\nAnswer: -0.0001079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-12)*(-10 + 18) + 12721?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 17666867\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:48 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10845, -21982, -33119, -44256, -55393, -66530?\nAnswer: -77667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1056388437087 + -1056383195371.00147. Let m = 5241692 - h. Let v = 24 + m. What is v rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:11 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732 at least 3728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4716 is divided by 493?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12022, -24043, -36064, -48085, -60106, -72127?\nAnswer: -84148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(448) - (1*sqrt(448) + -3 + sqrt(448)) - (sqrt(448) + sqrt(448) + -4 + sqrt(448))*3)**2.\nAnswer: -14400*sqrt(7) + 270150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:33 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -0.2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 41112 = -41274 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 26*h**2 + 1788*h + 15458. What is s(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 - 3*v + 8. Let j(n) = 5*n**2 + 5*n - 15. Determine -11*b(q) - 6*j(q).\nAnswer: 3*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 3*r**2 - 2. Let j be k(-3). Let p be (-1)\/j + 10\/4. Let z be (-3)\/(-6) - 1\/(-2). Which is the third smallest value? (a) 0.4 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*p = 296*p - 39 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -272*g**4 + 7*g**3 - 7*g**2 - 44. Let x(f) = -136*f**4 + 3*f**3 - 3*f**2 - 21. Let j(c) = -3*i(c) + 7*x(c). Differentiate j(b) with respect to b.\nAnswer: -544*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54443530669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 0.87 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -95 (b) 3 (c) 73 (d) 2890\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160\/11901919 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 + 8*v + 2. Let z(p) = -2*p**2 + p - 3. Let d(s) = j(s) + 4*z(s). Solve d(a) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 17*d**2 + 18*d + 10. Let y = 43 - 25. Is 2 a factor of z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h**2 + 37*h - 37. Let w be y(-5). Solve x - 8 = -4*a - 2, a = w*x - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**10\/2520 - v**6\/360 + v**3\/2 - v**2. Let g(s) be the first derivative of p(s). Find the third derivative of g(w) wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263863 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 12*n + 8*n - 2*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101932 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*b - 2 = 5, -4*i + 5*b = 41 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4005166*h**4 + h**3 + 42485988*h**2 + h + 2 wrt h?\nAnswer: -96123984*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - -4) + (-13 - (0 + -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107615771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 384\/37?\nAnswer: 384\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478985554?\nAnswer: 2, 19, 47, 268189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**4 + 454*w**3 + 1014*w**2 - 774*w.\nAnswer: 2*w*(w + 3)*(w + 43)*(5*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 5 + 0*z**2 - 2*z**2 - 1 + (-2 + 2 - z)*(-2*z + 6*z - 2*z) to y + b*z**2 + p*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1040691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -12*n - 36 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/4 of a millennium?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10427 - -10431. Suppose -4*l + 48 + 48 = 0. Let x = 0 - -4. Solve -q*a + 2*y = y - l, -x = y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5827348 years to millennia.\nAnswer: 0.0005827348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 - 7*a - 4. Suppose 10 = 5*b, i + 20*b - 17*b - 105 = 0. Calculate the remainder when i is divided by v(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2918.296.\nAnswer: -5836.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 5, -191, 140, -0.12, 1\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 10 = 105*o - 104*o, 0 = -3*u - o - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128655*f**3 + 128653*f**3 + 0*f**2 - 2*f**2 + 6 + 2*f**2.\nAnswer: -2*f**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 10*i**2 - 11*i + 20. Let n be f(9). Suppose 0 = 4*w, 2*l = -l + n*w + 198. Suppose 2*k = -0*u - 2*u + l, -5 = 5*u. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Suppose 0 = s*u - 42 - 828. Suppose -3*f + 39 = -u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t + 5. Suppose 5*d - 5 = 10. Suppose -5*a - 28 = -4*u, -2*a - u = 5 + 1. Let h be (a\/(-10))\/(2\/10). Let j(k) = 3*k - 4. What is d*j(x) + h*n(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 not equal to 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 0 - (-2 - 1). Suppose -t - s = -n - 13, 5*n + 37 = 4*t. Suppose 5*i - 37 = -2*p, 0 = t*i - 5*p - 21 + 5. Solve 2*c = -c - 6, -3*c - i = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m + 201*m + 6328 = -139*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/385)\/((-2)\/14)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -1372 (b) -4 (c) 5 (d) 1\/3 (e) -0.4 (f) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 238\/63) + (-20)\/(-351)*-3.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**4 - 420*v**3 - 4485*v**2 + 69270*v - 64368 = 0?\nAnswer: -18, 1, 8, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -879, -938, -1049, -1218, -1451, -1754, -2133, -2594?\n\"Answer: -b**3 - 20*b**2 + 8*b - 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128\/1955687 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22615433 is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*b = 424*b - 476 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003937880786 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -82195, -328761, -739711, -1315051, -2054787, -2958925, -4027471?\n\"Answer: -a**3 - 82186*a**2 - a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 - 122564152?\nAnswer: -122564241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8516547 to the nearest integer?\nAnswer: 2918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 4) + -4 + 2. Differentiate -8*d**f - 3 + 4*d**2 + 19*d**3 - 4*d**2 with respect to d.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0 - 1\/90*c**6 + 50*c**2 + 0*c - c**4 + 1\/6*c**3 + 1\/6*c**5. Let s(d) be the first derivative of i(d). Factor s(b).\nAnswer: -4*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -465*j + 10. Determine u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021924031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1 + 0\/(-9). Suppose -3*g + z*r + 35 = 0, 4*r + 39 = g + 14. Suppose -n + 2*l - 1 = 0, 0 - g = -3*l. Calculate the greatest common factor of 50 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146451959 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 2. Let t be l(-2). Let i = 6 - t. Suppose 2*v - 54 = -i*v + 2*g, 15 = 5*g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 5*w)*(-552*w**2 - 392*w + 392*w).\nAnswer: -1656*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28653.\nAnswer: 3, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 1778760?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = -0*m. Let c be ((-1)\/(-8))\/((-1)\/m). Sort 2\/11, c, -2.\nAnswer: -2, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028551063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l**5 + 2\/3*l**3 + 0*l**2 - 4\/3*l**6 + 0*l**4 + 1 + 0*l. Find the third derivative of n(g) wrt g.\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -3)*2*-5. Suppose 3*t - k = -2*t. Suppose 2*x - 42 = -10. Calculate the greatest common factor of x and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 - (-55 - -56)) + -46.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 7 = -3*h, -5*k - 2*h = -h - 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*x = 2 + 3, 5*x + 20 = 5*r. Which is the nearest to 0.1? (a) -2\/13 (b) 1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 2:09 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 409559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 12*i**2 + 14*i + 98. Give g(-12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 2*x - 133 = 0. Let j = x - -19. Suppose j*n = -2*n. Solve n = -5*g - 9 + 29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 278320 and -163?\nAnswer: -45366160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/4))**3\/(l*l**(1\/4))**35 assuming l is positive.\nAnswer: l**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2) + 7\/(70\/12). Let v be (-4)\/10*2*5. What is the second biggest value in v, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-15))\/((-3)\/(-11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -20*u**3 + 32*u**2 + u - 11. Let g(q) = 7*q**3 - 11*q**2 + 4. Let b(l) = 17*g(l) + 6*v(l). Let j(a) = -111*a - 3768. Let f be j(-34). Determine b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + 34. Let w be (3\/(-4) - -1) + d\/(-320). Suppose a + 3*b - 69 = w, -b + 26 = a - 35. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(130) - sqrt(130)*-1)*-1)\/(2*sqrt(120)\/(sqrt(48) - (sqrt(2352) - sqrt(48)))).\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 10\/13 (c) -5.1 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaxyyyaaaaaaaaaa. What is prob of sequence aa?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2224002 - -22?\nAnswer: -2223430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8690802*o + 8690802*o + 18*o**2.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 395552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let z = -1 + 0.9. Which is the nearest to y? (a) 6 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168157 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -10\/13, -1\/3, -0.4, -19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*w + 4, -4*b + 11 = -w + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 14*u**2 + 5*u + 259. Determine x(-15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 146?\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1136023512 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 169*a - 165*a - 1, 5*a = 3*k + 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1419*x - 584633. Give r(-412).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09933 and 19985?\nAnswer: -1985.11005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 35 = -5*n, -2*q + 5*n = -3*q - 19. Suppose -v + 2*u - 17 = 6*u, -2*u + 19 = -5*v. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1180 and 13\/860.\nAnswer: 50740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -30 - 18. Suppose -127*i = -133*i + u. Solve -12 = 6*y - i*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92023840, -92023835, -92023828, -92023819?\n\"Answer: l**2 + 2*l - 92023843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) 1\/959 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 5.4 (c) 2\/11 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1555 bigger than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -0.0801 (c) 0 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f - 9. Give a(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 885 and 20414?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11212002012022 (base 3) to base 15\nAnswer: 35e6ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 4.6, 541\/9, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Factor w - 4*w**3 + 2*w**y + w**3 - w**2 + w**4.\nAnswer: w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/2 - 4\/(-8). Suppose 13*g = 7*g + 24. Suppose b*t = g*t + 480. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 303 - 2?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 110*j - 236. Determine h(15).\nAnswer: 1414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = -66*b + 26*b + 252. Solve -b*u - 8 = -14*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3297, 3299, 3301, 3303?\nAnswer: 3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -7 (b) 11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 793417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/78)\/((-370)\/6660).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 969 (b) 1\/4 (c) 0.2 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56722047 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-34 + 24 - (1 + -3 + -2))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 2 (c) -3 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -997 - -747. Let g = r - -249.518. Round g to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (40 + (12 - 44)) - 32?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -5, -11, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -2.8.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27300596263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8260*g**3*s - 6511*g**3 wrt s?\nAnswer: -8260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-2))\/((18\/(-1072))\/9). Round y to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*y = -4*u + 2, 4*u - 2*y = 12. Suppose -3*i = -0*i - 27. What is the second derivative of 13*d**5 + u*d**5 + i*d - 7*d**5 wrt d?\nAnswer: 220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7106 and -8930 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 30*o + 1136. Let a be l(-38). Which is smaller: a or 310?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*h**2 + 57*h**2 - 80*h**2.\nAnswer: -124*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6285 - -6288. Solve 0 = 4*p - 7*b + 8*b - d, 15 = -5*p - 5*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 10*p - 10. Let g be f(-9). Let d(i) = i**2 + 16*i + 20. Suppose 2*s = 14 + 26. What is the remainder when d(g) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0649 - -4.1549. Let q = d - 0.09. Let g = 120961\/26 - 9305\/2. Which is the closest to g? (a) 1 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.11 and -83188.\nAnswer: 425090.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*a + 100, x + 2*x - 68 = 2*a. Let m = a - -43. Suppose -5*i - 33 = -253. Calculate the remainder when i is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + u**3 + 0*u**3 + 295*u**3 + 125*u**3 - 264*u**3 + 3*u - 3*u**3 - 3*u + (-2*u - 1 + 1)*(3*u**2 + u**2 - 3*u**2) + 2*u + u**3 - 2*u.\nAnswer: 155*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 4*w**2 + 6*w + 8. Let q be g(-5). What are the prime factors of (21\/q)\/(-7) + 71*1?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(5*b + 0*b - 3*b)*(23*b**3 + 48*b**3 + 51*b**3) to the form q*b**3 + d + w*b**2 + g*b**4 + j*b and give g.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -147504429, -147504422, -147504413, -147504402, -147504389, -147504374, -147504357?\n\"Answer: a**2 + 4*a - 147504434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 3, a: 1}. What is prob of sequence aeba?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*b + 91, -2*b = -5*u + 157 + 12. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/11)*t**4*(t**(-2\/11)\/t)\/(t*t\/t**(-1\/3)*t*t) assuming t is positive.\nAnswer: t**(-47\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**(-1\/4)*n))**(-3\/13)*(n\/n**(-1\/2))**(1\/39))**(1\/15) assuming n is positive.\nAnswer: n**(29\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 291fb?\nAnswer: -291f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*a**3 + 2\/13*a**5 + 0*a + 0 + 4\/13*a**4 + 0*a**2 = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**6 + 4092736*h**3 + 3750*h**2 + 2452*h - 1 wrt h?\nAnswer: 480*h**3 + 24556416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in 2\/83, 0.1, -0.2, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1310 + -44?\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-268125)\/(-110))\/(-75)*(-5)\/(25\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 57.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2184 and 3371368.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/93*-1 + 93672\/(-201655).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1190*k**3 + 951*k - 467*k - 484*k.\nAnswer: 1190*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15\/7, -0.3, 1, -3, 2\/15?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 413\/(4130\/(-120)) - -25?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:32 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 4. Suppose x - 2*g + 8 = 0, -5*x = -x - 3*g + 7. Let j be u(x). Let z = -0.7 - 0.2. Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/((66\/504)\/(-11)). Suppose 7*h - j = -0*h. Calculate the lowest common multiple of 4 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f - 7. Let d = -189 + 194. Suppose 0*w + 4*w - 72 = 4*i, 48 = 2*w - d*i. Let v(t) = -3*t - 2. Determine w*v(a) - 4*y(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 267 - 274. Put -5, h, -2, -25 in increasing order.\nAnswer: -25, -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 15*t**2 + t - 13. Let d be b(15). Suppose -24801001 = 5*i - 2*i + r, d*i + 16534003 = -3*r. What is i rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 125 = -19*m. Suppose 5*c = 2*d - m, -d - 3*d - 2*c - 10 = 0. Calculate the remainder when 23 is divided by (-2 + 20 + d)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -5, -6472066 in decreasing order.\nAnswer: -0.8, -5, -6472066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4\/7 - 33876*f**3\/7 - 67743*f**2\/7 - 33870*f\/7 = 0. Calculate f.\nAnswer: -11290, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/(-26))\/((-2)\/100). Let s be 7*m*(-10)\/(-175). Solve -4*a - 3*k - s + 0 = 0, 4*a = 4*k + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g - 20224 = -20312 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9096\/32 - (-6)\/8. Suppose -38*b = -39*b + g. Calculate the highest common divisor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727489 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w. Let a(y) be the third derivative of y**5\/60 - 5*y**4\/24 - y**2 + 26. Let q be -2*15\/(-10)*1. Suppose 3 = q*g + 6. What is g*a(k) + 3*n(k)?\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 3:13 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k. Let x be (-1)\/(-2*(-2)\/(-32)). Suppose 0 = c - 0*a - 4*a - 8, -4*a = x. Is k > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 46. Let n(q) = -2*q**2. Determine n(t(u)).\nAnswer: -2*u**2 - 184*u - 4232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 6*w - 6. Let z be y(-8). Suppose 6*g = -z + 82. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9 - 9530*d\/9 - 22705225\/9.\nAnswer: -(d + 4765)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634624 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 162 = 33. Calculate the remainder when 128 is divided by m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 63461472.\nAnswer: 1078845024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 29. Let k be u(10). Suppose 3 = 4*i - 13. What is the highest common divisor of k and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211189 divided by -10\nAnswer: -211189\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 810894*s + 54795756603.\nAnswer: 3*(s + 135149)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:54 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -142*m - 1. Let r(f) = -4*f**2 + 8*f - 9. Let i(n) = 3*n**2 - 9*n + 9. Let o(d) = -5*i(d) - 4*r(d). Let y be o(-13). Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 26. Let l = 23.9 + -3.9. Let o = l + a. Sort -0.2, o, -4\/9 in decreasing order.\nAnswer: -0.2, -4\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 5 (c) -2\/3 (d) -0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-2\/55)*(b**(-3\/7))**(24\/7) assuming b is positive.\nAnswer: b**(-4058\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4)\/(-4)*6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18)*-1)\/((-3)\/6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 + 319*n - 11 - 27*n + 6 as b*n + m and give b.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17545?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -39 + 108 - -1*7?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*s + s + 42, 4*s - 14 = -2*q. Suppose -3*v + q*v - 1300 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1342015 + 0?\nAnswer: 1342015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75335?\nAnswer: 5, 13, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let k(s) be the first derivative of 7*s**2\/2 + 2*s + 66. Determine k(d(g)).\nAnswer: 14*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p - 22. Let w be t(2). Let q = 66 + w. Find the second derivative of -48*b + 27*b**q + 31*b + 48*b wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/12*(15 - 1). Let m = 142 + q. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-3))\/((-3933)\/78660)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12d - -3?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 27) + 34 + -2 + 2 + 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32103918 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7308493962 to the power of 1\/3, to the nearest integer?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -7*p. Let y be 1\/((-4)\/(-2))*p. Is y < -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 692?\nAnswer: 55.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -39\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0 (b) -8 (c) -261\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8165104 and 6123828?\nAnswer: 24495312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 163 = -5*c, -5*o + 130 = 5*c - 253 + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 p when four letters picked without replacement from {h: 5, m: 4, p: 4, z: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 8245 (c) -4 (d) -0.4 (e) -2\/11 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.165 - 0.165. What is the nearest to y in 3, -0.2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/198 and 35\/684?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 9, 13, 1\/8.\nAnswer: 1\/8, 1\/4, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 2, m: 4, x: 3}. What is prob of sequence gmpg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10941*x**2 + 98499*x + 265. Calculate b(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 218569503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.56 + -47. Let y = -0.04 - v. Let q = 0.73 - 0.8. Which is the second biggest value? (a) y (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26 and 6289\/241 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-8694))\/3*24\/(24\/(-4)).\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -48*t + 129*t - 50*t - 47*t - 12. Let m(a) = -a - 1. Determine -2*j(r) + 28*m(r).\nAnswer: 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(448) + 2 - (3*sqrt(448) + 1))*1)**2.\nAnswer: -64*sqrt(7) + 7169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4227*f + 8457*f - 13*f**2 - 4230*f.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(90\/(-495)*572).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*-2 - sqrt(35)\/(sqrt(5)*-2))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 - t**4\/8 + t**3\/3 - 315*t**2. Let h = 4 + -4. Suppose n = -h*n - 4. Give v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 67.6. Let r = m + 63.6. What is the second biggest value in 4, r, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(44) + (sqrt(15)\/sqrt(3) + sqrt(5))*-3 - sqrt(30)\/(sqrt(54)\/sqrt(36))) + 4 + (sqrt(20)\/sqrt(4)*2)**2 + -1*(-1 + sqrt(20)).\nAnswer: -19*sqrt(5)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2*j**3\/3 - 25*j**2\/2 + 291*j + 709. Find the first derivative of l(u) wrt u.\nAnswer: -4*u - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 42. Is 5\/192 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 4, 1\/2, -67?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3696 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 48. Let h be k(0). Let i be (828\/(-5) - (-6)\/(-15))\/2. Let l = h - i. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.091 in -0.5, 4\/35, -4, -3\/151?\nAnswer: -3\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 755, -5, -3, -2, 7, -4 in descending order.\nAnswer: 755, 7, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3508.837 days in milliseconds?\nAnswer: 303163516800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 39 = 8*i. Suppose 4*n = 2*n + 4*q + 22, -i*n + 5*q = -26. Solve -5*a + 4 = -n*a + 2*g, -5*a + 1 = -4*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.14 (b) 0.2 (c) 6\/5 (d) -3\/8 (e) 3989 (f) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10512 + 10511. What is the closest to i in 15, 1, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97314517 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1589 * 534.\nAnswer: -848526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 54640.36 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 2 - 1)*(-2*a - 4 + 4) + a - 3*a + a - 6 + 6 + a as r + i*a and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3308450711.\nAnswer: 127, 26050793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 3. Let g = -8 - -11. Calculate the remainder when i(3) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 - -30. Let k be (-13)\/a + (-43)\/(-215). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 2)*(-1 - -1). Let q = -2 + d. Let n(y) = -y**2 + 32*y - 208. Let o be n(9). Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80969*v**2 - 9*v**3 + 473*v + 415*v + 80969*v**2 - 888*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 - 20*w**2 - 27*w**2 + 47*w**2.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7502 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 156, 320, 556, 870, 1268?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*g + 573*g = -48 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbbgmkob. What is prob of sequence om?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329468*u = -329541*u - 6205 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + 1.29. Let x = g + 1.01. Let q = -2.4 + x. What is q rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -420, 5, -0.5, 2.3, -0.04?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2898036 from 1.\nAnswer: 2898037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 22*t - 34. What is c(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/436295 and 93\/86030.\nAnswer: 6108130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 - f**3 + 2*f**3 + f**3 + 0*f**3 - 3*f**3 + 431*f - 431*f - 49*f**3 + (6*f**2 - 2*f**2 - 2*f**2)*(6*f - 3*f - 2*f))*(0*f + f - 2*f).\nAnswer: 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -6*c - 0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - 160. Let s = b - -69. Put 0.1, 2\/43, -2, s in descending order.\nAnswer: 0.1, 2\/43, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362356*v**3 + 357264?\nAnswer: -1087068*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769*o**2 - 5*o**3 + 769*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320194033 to the power of 1\/2, to the nearest integer?\nAnswer: 17894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -4. Suppose 11*n + a - 2*a + 22 = 0, 0 = 4*a - 44. Put n, t, 1\/12 in decreasing order.\nAnswer: 1\/12, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25081502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*d + 2*w, -40*d + 43*d = -3*w + 24. What is the smallest common multiple of d and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 428367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:23 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1879207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(1 - -13). Suppose 0 = -18*s + 12 - 12 + 108. Is b <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-70) + (-1 - (-1795)\/7). Suppose 80 = -5*o + d. Let a = 35 - o. Let w(j) = -j + 7. What is w(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62414 (base 10) in base 2?\nAnswer: -1111001111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((12\/(-16))\/(-3)) + 1526.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1005769, -1005767, -1005765, -1005763?\nAnswer: -1005761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 6, -1, 1 in increasing order.\nAnswer: -1, -0.15, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 5.7. Suppose -3*s = -u + 3, -s + 10 = -3*u - u. Let k be (u\/(-36))\/((-2)\/(-6)). Put k, -0.5, b in decreasing order.\nAnswer: k, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 315 = -3*w, -3*o - 19 = -w - 265. Calculate the greatest common divisor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktok when four letters picked without replacement from {k: 3, o: 3, t: 12}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/7)\/((-3)\/(-21)). Let h(i) = -2*i + u*i**3 - 4 + 0*i**3 + 3. Let x be h(-1). Put -5, x, -4 in ascending order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 20*f**3 - 4*f**3 + 25*f**3 + f**4 in the form h*f**2 + g*f**4 + l*f**3 + w + a*f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -895, -900, -907, -916, -927?\n\"Answer: -t**2 - 2*t - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274703856 to the nearest integer?\nAnswer: 16574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34621580, 34621582, 34621584?\n\"Answer: 2*x + 34621578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 13*u + 14. Let l(v) = -9*v + 6. Let x(p) = -5*p + 3. Give u*x(o) - 4*l(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1149*h + 92*h**3 + 1149*h - 2297*h + 2 as g*h + m*h**2 + y*h**3 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:49 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i**(12\/5)\/i*i)*i))**(-37) assuming i is positive.\nAnswer: i**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 744673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/5055 and -83\/11121?\nAnswer: 55605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) -2 (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/15 (b) 11 (c) 2\/33 (d) -2\/11 (e) -6 (f) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2*z**3 + 5*z + 1\/4*z**4 + 3 + 2*z**2. Calculate q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205437 is divided by 22809?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (20 - 60) - 74\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.36, -0.6, -18, 1\/2, -3, -0.5 in decreasing order.\nAnswer: 6.36, 1\/2, -0.5, -0.6, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 take away -1?\nAnswer: 0.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 + 14.65. Let y = -18 + j. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40326 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -61, -78, -113, -172, -261, -386, -553?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*w + 2*h, 0 = -6922*h + 6919*h + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432).\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2. Let s(n) be the third derivative of 271*n**5\/60 - 204*n**2 - n + 1. Calculate w(s(p)).\nAnswer: 220323*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-18)*(-4103)\/(-3730)*15\/33.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 4*g + 32. Let u be (6\/(-5))\/(108\/40 - 3). Is 21 a factor of x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 21*u**5\/20 - u**4\/6 + u**2\/2 + 95*u. What is the units digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15a3 (base 12) to base 7\nAnswer: -10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 193.644 (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -44*b + 52. Let h(n) = -19*n + 27. Calculate 2*c(w) - 5*h(w).\nAnswer: 7*w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/36 - (-2)\/(-18). Let k = 240 + -239. What is the third biggest value in 26\/7, -2, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1566\/12 + 1\/2. Suppose -5*d + 5*y + x = 4*y, 2*y + 73 = 3*d. Find the second derivative of r - 27 + d - 2*r**3 + 3*r**3 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 4. Let m be j(3). Put 5, 1, m in decreasing order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16993502 rounded to three decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10418869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-840*i**5 + 407*i**5 + 431*i**5 + 227*i**3 + i**4)*(3 - 2 - 2).\nAnswer: 2*i**5 - i**4 - 227*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 56844 - 7\nAnswer: 56837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 197243 from -0.457637.\nAnswer: -197243.457637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54384 divided by 412.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-223)\/(65116\/(-438))*8\/(-870)\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-10))\/(2\/(-6) - 292\/(-657)).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2)\/(4 - 5). Let p be 8\/k + (-3)\/(-1). Suppose -5*x - 3*d + 1 = -0*x, -2*d + 4 = 0. Sort 0, x, p in ascending order.\nAnswer: p, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(sqrt(5) + sqrt(25)\/sqrt(5) + sqrt(5) + sqrt(5))**2 + ((-1 + sqrt(5))*-5)**2 + -2*(sqrt(5) + (-2*sqrt(5))**2).\nAnswer: -1330 - 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/45)\/i**4 assuming i is positive.\nAnswer: i**(-178\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-199)\/(-995))\/((-26)\/30).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21464 is divided by 3576.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 9*f**2\/2 - 8*f + 2. Let x be g(7). Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1171368 and 89\/3837240?\nAnswer: 111279960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 35. Calculate the remainder when q is divided by (-2)\/(-3) + (-28)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14055551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.1, 1\/4, 4, 449?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799.4357 days to minutes.\nAnswer: 1151187.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11156604*a**2 - 4*a + 44663846?\nAnswer: -22313208*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 12 + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34579 divided by 393?\nAnswer: -34579\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 937815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/11 - 6430*h\/11 + 1504188\/11 = 0. Calculate h.\nAnswer: 254, 2961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**3 - 2*g**2 + 2. Suppose 23*p - 19*p = 28. Suppose 13 - p = 3*i. List the prime factors of c(i).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 102. Let y = g - -38. Solve y*i = v - 17, 7*i = 3*i + 5*v - 37 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 19. Let x(z) = z**3 + 5*z**2 - 4*z - 3. Let l(j) = -j**3 - 6*j**2 + 5*j + 4. Calculate m*l(a) + 4*x(a).\nAnswer: a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y*y*y*y**(-5\/6))*y*y**(-1\/6)*y*(y**(-3\/5))**(1\/58) assuming y is positive.\nAnswer: y**(2311\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122*w + 8505 = 1131*w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 0 + 6. Let s = 4 + a. Let r be (-20)\/(-4) + 65 + -61. What is the highest common factor of r and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-49) - (-33)\/7. Suppose 270 = -6*r + 16*r. Suppose -k*m = r + 23. Let c(l) = -l - 4. What is c(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 576443, 1152383, 1728323, 2304263, 2880203?\n\"Answer: 575940*j + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8979503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/(-26) + (-70)\/(-455). Suppose g*v = -2*q + 15, 5*v - 45 = -0*q - 5*q. Calculate the smallest common multiple of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 27*m**2 - 16. Let l(w) = 54*w. Determine o(l(a)).\nAnswer: 78732*a**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -2*sqrt(156))\/sqrt(4))\/((sqrt(3) - sqrt(9)\/sqrt(48)) + sqrt(3)).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1061, 1101, 1115, 1061, 897, 581, 71, -675?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((41 - 40) + 1 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 234 in 3\/7, -3\/25, 8, -87?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {h: 3, d: 6, k: 2, v: 1, c: 4, g: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let d(b) = 9*b + 3. Let j = 3 - -1. Let n(u) = j*q(u) + d(u). Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Let h(r) = -7849*r + 4. Calculate h(f(c)).\nAnswer: -15698*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88299942*p**3*w**3 + 31552498*p**3*w**2 + w**2 wrt w?\nAnswer: 529799652*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let y = -4 - -6. Let a = 6 - y. What is the nearest to -0.2 in a, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3168 and 230967?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 18. Let o be y(13). Put -3, o, -6, -4 in descending order.\nAnswer: -3, -4, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54828 or -60?\nAnswer: -54828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + 4) - (-4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7827193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 11552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from bebeeebbbeebeb?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnteontnentnnttteno. Give prob of sequence eone.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshhhzsshzhyzhs. What is prob of sequence zhh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 3. Let g be i(0). Suppose -5*m - 2*q + 1035 = -634, 5*m = g*q + 1684. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 (base 9) in base 16?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5109 and 26.\nAnswer: 10218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 765022704 divided by -6?\nAnswer: -127503784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 45*l**3 - 13*l**2 - 6*l + 13. Let i(p) = 22*p**3 - 6*p**2 - 3*p + 6. Give -13*i(w) + 6*n(w).\nAnswer: -16*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2*b - 9. Let s be x(-5). Calculate the remainder when -2*1*(-159)\/s is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149221513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(sqrt(405) + sqrt(405)*2)*-5*-6 + 1.\nAnswer: 1 + 6480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d - 97 = 74 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 989579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9639? (a) 0.0343 (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 47328.\nAnswer: 35\/47328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 71. Let a = 55 - n. Suppose -3*x - a*q = -7*x + 4544, 3*x - 4*q = 3405. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 297, 2531, 8571, 20313, 39653, 68487, 108711, 162221?\n\"Answer: 316*z**3 + 7*z**2 + z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1 (b) 33457 (c) 0.07 (d) 15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 68\/44335057 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7501 - 1515 + 3768 = -1585*f + 9017 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 921, -4, -32, -1352.\nAnswer: -1352, -32, -4, 921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -594*x - 221. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.6 + 53. Let m be 2\/(-1)*(-6)\/4. Let b = -0.034 + -0.266. Sort p, -0.1, m, b in ascending order.\nAnswer: b, -0.1, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 20610?\nAnswer: -20602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 11*p - 3. Suppose -144 - 109 = -23*v. Give u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -1, -4, 4, -5 in increasing order.\nAnswer: -106, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -329822 and 341.\nAnswer: -329481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*q - 5, 2*q + 8*o - 887 + 889 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -311+0.3\nAnswer: -310.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-23)\/(-3) - 1295\/(-777). Let z(a) = 5*a**2 + 4*a + 2. Let k(x) = -11*x**2 - 9*x - 5. Suppose -v - 56 = 3*v. Calculate l*k(r) + v*z(r).\nAnswer: -4*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 26 (b) 300 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-7)*5\/6*12\/80.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1472 and 45075584?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 65 = 1. Let m = -160133 + 160135. Solve -m*x - 14 = -w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -14*z + 2. Let d(k) be the first derivative of -5*k**2\/2 + k + 5. Let u(w) = -w**2 + 5*w - 3. Let n be u(2). Determine n*b(r) - 8*d(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33847070\/(-40))\/(2\/(-8)). Suppose v = 2*h - 2015293. Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:46 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253\/39 - 19\/3. What is the smallest value in 3\/4, m, 1\/139?\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 + 59288*k**2 + 1757889146*k + 21086133144.\nAnswer: (k + 12)*(k + 59282)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9062*k**3 + 3*k**2 + 424?\nAnswer: 54372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-81)\/12 + (-3)\/(-4). Let x = q + 10. What is the smallest common multiple of x and 16\/(2 - (0 - -1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 95*g + 7. Suppose 3*w = -3*w + 12. Let b be n(w). Suppose -3*m + 4*u = -b, -u = 4*m - 4*u - 258. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 29 - 3*m - 17 + (-3 + 2 - 1 + (0 + 0 - 1)*(-3 + 4 - 2) - 4 + 2 + 4 - 2 + 3 + 1)*(-4*m + 3*m + 4*m) to f + w*m and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m - 13. Let t = 10 + m. Suppose 3*w + 20 + 28 = t*x, 3*w = 12. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/55 in -0.2, 3, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -24 + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129708689?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43140\/(-70) - 6\/(-4)*-2. Let d = -625 - c. What is the common denominator of 70\/9 and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 4*i - i)*(3 - 8 - 10)*(-17*i - 72*i + 18*i - 37*i).\nAnswer: -1620*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 + 2 + -1. Let z(l) = 26*l**2 + 16*l - 16. Let r(p) be the second derivative of 3\/2*p**2 - 5\/12*p**4 - 1\/2*p**3 + 0 - 19*p. Give v*z(u) + 16*r(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/4970 and 31\/5467.\nAnswer: 54670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*w**4 - 11*a*w**3 + 4*a*w**2 + 19*a*w - 36*a + 478*w**4 - 3*w**3 + 2*w + 2 wrt w?\nAnswer: 48*a*w - 66*a + 11472*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 16.7. Which is the fourth smallest value? (a) 4 (b) 0.1 (c) -24 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*w = -26*w - 933 - 771. Let y(b) be the first derivative of 16*b - 22 + 9*b**4 + w*b**2 - 100\/3*b**3. Let y(g) = 0. What is g?\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516327 is divided by 929?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193351945.\nAnswer: 5, 38670389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.2915577083328 and 0.5.\nAnswer: -21.7915577083328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-936)\/48*12\/18. Which is bigger: b or -189?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5148*o + 115. Let t(q) = -481338*q - 10764. Let j(p) = 468*f(p) + 5*t(p). Let a(v) = -v. What is a(j(h))?\nAnswer: -2574*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 7*u**2\/2 + 5*u + 89. Let a(p) = -4*p**2. What is a(j(z))?\nAnswer: -196*z**2 - 280*z - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 841*f**4 - 15544*f**3 + 95749*f**2 - 196566*f.\nAnswer: f*(f - 6)*(29*f - 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 38*f + 131. Determine a(34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 55?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2240*k + 954*k - 612*k + 3625*k - 63*k as q + z*k and give z.\nAnswer: 6144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 + w + 483. Determine g(0).\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305 + 0*q**3 - 4*q**4 - 304 - 2*q**4 - 2*q + 2*q**3 to the form i*q**3 + f*q + x*q**2 + t + p*q**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 17 = -3*t - t, -15 = 3*u - 4*t. Let y = 3 - u. Suppose n + y*n - 100 = 0. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3932518797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24381501.\nAnswer: 3, 67, 101, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -41, 0.29, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.5, 0.233, -379, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3416 (b) 3 (c) -308 (d) 0 (e) -0.3 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + -5*sqrt(76)*2 - ((sqrt(76) - (sqrt(76) - (sqrt(76) + -2*sqrt(76)))) + sqrt(76) + sqrt(76) + -4))**2*-2.\nAnswer: -12344 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from hvbwbfjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 385 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + 23. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -235, -233, -231, -229?\n\"Answer: 2*u - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 4*y + 27. Let x(q) = 2*q**2 + 2*q - 2. What is -2*s(n) - 4*x(n)?\nAnswer: -16*n**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 46 + 9*h**2 - 5*h**2 + 18.\nAnswer: -2*h**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1499.9367 - 1500. Round h to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*z - 6*z. Solve 5*a = -5*y - z + 30, -y = 3*a - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 147*i + 78*i + 41*i.\nAnswer: 266*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 1193 = 41. Let h(r) = -r**3 - 11*r**2 + 5*r + 311. Let m be h(-11). What is the greatest common divisor of m and y?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295470 divided by 122\nAnswer: 147735\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 2*l + l)*(4*l + 0*l - 5*l) - l**2 - 3*l**2 + 5*l**2 to the form u + q*l + s*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2*(-3)\/(-2). Let x be b - (2 - 1) - -1. What is the derivative of 5 - 5*k**3 - 3 + 3*k**x wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000143 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70000 + -70000. Let d = 17.6 + -3.6. Let g = 10 - d. Which is the second biggest value? (a) -0.2 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -495649, -495644, -495637, -495628, -495617, -495604?\n\"Answer: n**2 + 2*n - 495652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 + 146. Is 2825\/k - (1 - 8\/24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/((-3888)\/(-180)))\/(2\/(-5)*250\/(-40))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -5, 10, -1 in decreasing order.\nAnswer: 10, 1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6 - 30*w - 4 + 36*w + 0.\nAnswer: 6*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 10880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v + 37 + 89 = 0. What is the nearest to v in 1, 7, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 56*n + 6730. What is h(-117)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 > 8179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -22*u + 12 + 19*u - 18*u. What are the prime factors of q(-5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 88 = -26*l + 21*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 2. Let p be v(-2). Let s(f) = 7*f + 33 + f - 6*f + 13. Let l be s(-23). Solve p = -l*d - d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-28 - -3)\/1*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26475501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136)*1 - 1*-1*sqrt(136))\/(sqrt(96)\/(1*sqrt(192))).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198348502 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7811748*a**2 + 7313730*a + 2 wrt a?\nAnswer: 15623496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2544 and 153341826.\nAnswer: 1226734608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765 and 50.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:39 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*4\/6*63. Suppose -4*o + 46 = t. Solve 12*d = 10*d - o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -28346, 0, 2 in decreasing order.\nAnswer: 13, 2, 0, -28346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53695726 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*b - 958*b + 2927*b - 1023*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n - 32. Let a be v(11). Differentiate -14 - 52*d - 10 - a with respect to d.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:41 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331398 and 1805?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 0) + (19 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038809 is divided by 6408.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1034450 and -53\/182550.\nAnswer: 3103350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5\/6, 4, 0.1, -8 in increasing order.\nAnswer: -11, -8, -5\/6, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) + 116\/(-20). Let i = 6 + h. Sort i, 1, -3 in ascending order.\nAnswer: -3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32157, 64401, 96645, 128889, 161133, 193377?\n\"Answer: 32244*s - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 467028 and 2120?\nAnswer: 247524840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 999 and 6?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 + 19 + -8. Let k = -3 + v. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002117877 to 7 dps.\nAnswer: 0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5 + 41*b**4 + 2*b**3 - 82*b**2 - b + 41 = 0.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 4 (b) 0.0703 (c) 10\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/453 and 7\/1257.\nAnswer: 189807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 488051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*2\/(-12)*(-7 - -4). Solve n + 2*c = -b - 5, n = c + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*p**2*z**3 - 2*f**3*p**2 - 2*f**3*p - 9*f**3*z**2 - 25*p**2*z**3 + 2*z**2 wrt z.\nAnswer: 12*f**3*p**2 - 150*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -66631554 (base 7) to base 16\nAnswer: -57d3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6618361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:10 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*o - 11, -2*o + 0*o = 2*h - 8. Let j(f) = f - 3. Suppose -b = 4 - 16. Suppose -2*l - b = -6*l. Let y(g) = -g + 5. What is l*y(x) + o*j(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14849\/2660 + 2\/1995. Calculate the common denominator of s and -73\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 515*d - 2910 = 0. Calculate d.\nAnswer: 6, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 9*y - 12*y + 10 + 2*y to o*y + d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/12 + (-78)\/4. Let s(i) = -2*i**2 - 37*i + 23. Let l be s(n). Solve -2*b + l*y = 8*y + 12, 0 = -3*b - 5*y - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 16*h**2 + 23*h - 1. What is q(18)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -891 (b) 0.2 (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 356*r - 4216. Determine g(107).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8632)\/(-6972))\/(4\/42))\/((-7)\/(-28)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*d + 2*r, 3*d + 2*r = 4*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrxrrdzzzdrbrrzzz. Give prob of picking 1 z, 1 x, and 2 d.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3760?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 44575*f + 133730. Give v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y - 207 + 6 - 64 = 8 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -3 (b) 1 (c) -2 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s + 5*i, -2*i = 2*i - 8. Factor 1 + 3*b - 13*b - 3 - 6*b**2 - s.\nAnswer: -2*(b + 1)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7372, -7384, -7404, -7432, -7468, -7512, -7564?\n\"Answer: -4*x**2 - 7368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*x - 4 + 40 = 0, 2*x + 12 = d. Solve u - d = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 12*f**2 - 12*f + 19. Let k be p(-13). Let r = -14 - -8. Let n = r + k. Solve n*h - 12 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753075 (base 8) to base 15.\nAnswer: 4e788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Suppose r - 3*r + h + 566 = 0, -3*h - 1128 = -4*r. Let k be (r\/38)\/((-2)\/(-4)). Let g(i) = -12*i**2. Give k*a(j) + g(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g**4 + 25*g**3 - 42*g**2 + 29*g - 11. Let k(b) = -4*b**4 + 12*b**3 - 21*b**2 + 15*b - 6. Let c(n) = -7*k(n) + 4*z(n). Solve c(w) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180060 divided by 6002.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g**2 - 5676*g + 1476 = 0. Calculate g.\nAnswer: 6\/23, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 - ((-4)\/(-4) - -2). Let u(l) = -32*l**3 - 1. Let f be u(-1). Let r = c + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 10 + (-69)\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47399.4 rounded to the nearest 1000?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77815 is divided by 1145.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 499374 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 15*k - 170. What is the remainder when 150 is divided by i(14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 9) + 6542\/18. Let s = g - 366. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*p - 93*p + 9*p + 14*p + 11*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 34, 12, -16, -56?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3719, 7412, 11045, 14618, 18131?\nAnswer: 21584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2012212?\nAnswer: -2012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 732674743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32340 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 15. Which is the nearest to -1? (a) f (b) -1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1) - (-2 + (-2)\/2). Suppose 0 = 4*o - 8, r + 7*o + 1254 = p*o. What is r rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and 486368349.\nAnswer: 486368349.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101883 + -101883.0000045269. Round y to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k - 5*i + 125, 5*k - i = 149. Suppose -3*b + k = -81. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185.5 * 1.42\nAnswer: 263.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(5 + sqrt(72) + (sqrt(72)*-4 - sqrt(72))) + (sqrt(72) - 4*(sqrt(72) + 2*sqrt(72))) + 1*sqrt(72) + -2)**2.\nAnswer: -230880*sqrt(2) + 1238704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6172232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2362674 from -7.22.\nAnswer: -2362681.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3119 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 61*x**3 + 9*x**2\/2 + 8*x + 44. What are the prime factors of q(-1)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -508.2.\nAnswer: 3049.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + -10)*(-2)\/(-4). What is the closest to p in -0.2, -1\/3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Suppose 0*u - s = u - i, 0 = 4*u + 3*i - 20. Suppose 0 = d - u*d + 7. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 12*g**2 + 16*g - 57. Give u(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.1. Let x = r - 0.6. Which is the biggest value? (a) -4 (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d**2 - 2*d**2 - 3*d**2)*(13*d - 43*d + 13*d) - 22*d**3 - 5*d + 5*d + 0*d in the form s*d + x + c*d**3 + m*d**2 and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -2) + -291 + 291.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 + 2. Let q = -877 + 873. Calculate u(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + ((-2910795)\/20500 - -132).\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -431240 (base 5) to base 11\nAnswer: -aa46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 212123011330 (base 4) to base 12\nAnswer: 3458b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4 + (-78 - -75).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -7 (b) -8 (c) -0.03 (d) -2\/275 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 7 = 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006001 to 6 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-42))\/6*7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -13. Suppose -5*i + 27 + 13 = 0. Suppose i*j + 4*k = 3*j + 44, h = 4*k. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/4 + 43122*v + 1380672 = 0. What is v?\nAnswer: -32, 57528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(637))**2 + -3 + sqrt(26)\/sqrt(2).\nAnswer: sqrt(13) + 634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.247 - -0.103. Round u to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/18)\/(2\/(-165)). Suppose 3*h = -2*h - c. Let r(x) = -17*x**2 + 11*x + 11. Let g(f) = 6*f**2 - 4*f - 4. What is h*g(b) - 4*r(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - -233. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33840690629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276 is divided by 1554?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 39 = -3*i + 47 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.071.\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -369442.8 to the nearest one hundred.\nAnswer: -369400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1824, 3697, 5570, 7443?\n\"Answer: 1873*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.02329 + -600492693\nAnswer: -600492693.02329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -26811 bigger than -26811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -187, -821, -1943, -3577, -5747, -8477, -11791, -15713?\n\"Answer: -4*k**3 - 220*k**2 + 54*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - 48*w + 18. Let y be b(10). What is the highest common factor of y and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = -10. Let l = 297 + -117. Suppose 5*y = 5*a + l, -4*y + 7*y + 3*a = 84. What is the highest common factor of u and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 194 - 4?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a**3 - 2*a - 9*a**3 - 4*a**3 + 7*a**2 + 4. What are the prime factors of m(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.2729 millennia in centuries?\nAnswer: 1222.729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2198*r = 2046*r - 1064 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*j**2 - 655*j**2 + 261*j**2 - 641*j**2.\nAnswer: -1257*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(8\/20 - (-9)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -8 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 84. Let y be z(7). Suppose -4*w = 0, -4*w - 99 = -5*v + 111. Calculate the highest common divisor of y and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*c*p - 6409*c*v - 5192*p*v - 6*p + 909*v wrt p.\nAnswer: 27*c - 5192*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722622 is divided by 156592.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3. Let v(r) = r + 5. Let x(a) = 5*n(a) + 3*v(a). Let p(t) be the third derivative of 0*t**3 - 130*t**2 + 0*t + 0 + 1\/2*t**4. What is x(p(c))?\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 391 = 5575. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 10. What is the nearest to -2\/5 in 4, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30835\/59748 + -5\/1532. Let h be (-462)\/(-418) - 11\/((-1672)\/(-16)). Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 102.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okv when three letters picked without replacement from {k: 3, o: 1, m: 3, s: 4, c: 2, v: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-325)\/(-45) - (-12 - -19). Let p = 2.08 - 2. Let a = 248 + -245. What is the second biggest value in -2\/15, u, p, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2039*f**3*q + 121620*f**3 + 2*f*q**4 + q**4 wrt q.\nAnswer: -2039*f**3 + 8*f*q**3 + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/12 - d**4\/6 - 7*d**3\/6 - d**2. Let b(h) = h**2 - h. Let u(k) = 6*b(k) - s(k). Is u(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 47*q**2 + 25*q - 20. Let a be f(24). Solve -w - a*w + 25 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.569 - 13.129. Let o = a + 15. What is o rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 19*d + 168 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1610822 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 3*d**3 - 2*d**3)*(-8 + 0 + 1)*(-3 + 19 - 3)*(1 - 1 + 1)*(3 - 2*d - 3).\nAnswer: 182*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090890 rounded to the nearest 10000?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76823747?\nAnswer: 7, 11, 13, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 9 - 1 - 8.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -143.09431 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1eb8d3 (base 16) to base 3.\nAnswer: 10210021212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 1582 + 1357 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1665, 1519, 1373?\n\"Answer: -146*b + 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4298 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-12 + -150)\/9). Sort 0.04, -0.79, -2, d in decreasing order.\nAnswer: d, 0.04, -0.79, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23012 is divided by 129.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -9, 11, 51, 117, 215, 351?\n\"Answer: h**3 + h**2 - 4*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -21120221021201?\nAnswer: 21120221022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 37*p**3 - 49*p**2 - 7. Let f(c) = -12*c**3 + 16*c**2 + 2. Let s(h) = -7*f(h) - 2*r(h). Find the third derivative of s(j) wrt j.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-6) + 10)\/((-2)\/(-104)). What is the highest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 471? (a) -0.3 (b) 2 (c) -22088 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 10:33 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxhooxxxox. What is prob of picking 1 x and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85262*l + 3094 = -85171*l for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -43\nAnswer: -170\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 16 = -21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (4\/3)\/((-1)\/(-3)). Solve -r*s + 4 - 3 = -v, 3*v = 2*s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -7, -1\/2, 17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -1.3 (c) -5 (d) -9 (e) 0.01 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*h**3 - 11060002*h**2 - 986482429031*h - 254575374152.\nAnswer: -(h + 178387)**2*(31*h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 - (31 - 155 - -143).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/70839 and 113\/48.\nAnswer: 1133424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 36. Let u = h - 26. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 587*x**3 + 2 - 28*x**2 + 25*x**2 + 1.\nAnswer: -587*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edeqddeddeqqqed. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/788 + -785\/2364. What is the closest to 2.84 in 3, 0.01, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*x**3 + 41*x**3 - 640*x**2 + 5*x**3 to the form c*x + n + u*x**2 + m*x**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-295*v + 211*v + 309*v).\nAnswer: -225*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a - 3 + a**2 - 1\/3*a**3. Determine p so that z(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 20815444 - 2*o + 20815438.\nAnswer: -2*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -85. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -10 + 1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*h - 13, -2*h = -4*d - d + 65. Suppose 0*g + d = g. Suppose 5*q - 17 = 4*r, r - q + g = 5*r. What is the greatest common factor of 16 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17a813 (base 11) to base 6\nAnswer: -5542130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2577129*n*q**2 + 2*n*q - 205*q**2 + 12017*q + 2 wrt n.\nAnswer: 2577129*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7307870.22 seconds to weeks.\nAnswer: 12.08311875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3123613*q**5 + q**4 + 2*q**2 - 3698861 wrt q.\nAnswer: 187416780*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 171, -3, -52, 5\/6, -1\/5, 11?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 208 = 8*g. Let y be (-2)\/13 + 84\/g. Which is the third smallest value? (a) y (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42200\/336)\/(-25) + 5\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 8:09 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3242 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -410890500 to the nearest one hundred thousand.\nAnswer: -410900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (-15 + 15 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169\/646 less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54, 93, 132, 171, 210?\n\"Answer: 39*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.9 * -0.32998.\nAnswer: -1.616902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and -2538781.\nAnswer: -88857335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 8 = 4. Let c be ((-12)\/36)\/(k\/12). Find the second derivative of 11*u - c*u - 9*u**3 + 2*u**3 wrt u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2220*s - 1158*s = 1165*s - 13487 + 303 for s.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13027167 divided by 993.\nAnswer: 13119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10\/p*p**(13\/5)*((p**(3\/5)\/p)\/p*p*p)**(2\/37))**(2\/81) assuming p is positive.\nAnswer: p**(4304\/14985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*c - 1)*(-c + 2 - 2) + 42*c**2 + 138*c**2 + 388*c**2 - 172*c**2 to the form x + u*c**2 + r*c and give u.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 60314 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -9*f - 34. Let v(d) = -20*d - 68. Let b(c) = -13*s(c) + 6*v(c). Let z be b(11). Which is smaller: 68 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6641688796.\nAnswer: 2, 727, 2283937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 7*j - 5. Let g(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/8 + b**3\/2 + 2*b**2. Let o be g(2). What is the tens digit of x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56718 and 32.\nAnswer: 907488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1838 and 0.5?\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/3 + -1\/6. Let t = 3 - 11\/3. Which is the closest to z? (a) -0.1 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 12) to base 7\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 + (179 - 59) + 0 + 29 - (1 - -130)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6121532 and -55\/6556712.\nAnswer: 1383466232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2293 - 759 - 771 - 763 - 18998*y in the form c + l*y and give l.\nAnswer: -18998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.800889 to two dps.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -8a231?\nAnswer: -8a22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223*w - 147*w + 106*w)*(4 - 1 - 2 + (0 + 0 - 2)*(-1 + 2 - 2)).\nAnswer: -792*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - -1 - ((-36 - 15) + 44).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026007 to seven dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 7*h - 45. Let n(j) = -j**3 - j**2 - j + 53. Let r be n(0). Suppose -3*x + r = 4*s, -h*s - x = -33 - 25. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 1)*(-2 + 5 + 0)*(5*z**2 + 151180*z + 2 - 151190*z - 19*z**2) in the form p + i*z**2 + x*z and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -26*p - 2. Let d(v) = -v**2 - 2*v - 1. Let u be d(0). Let h be b(u). Calculate the greatest common factor of h and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 + 30*l - 23. Let j be a(4). Sort 0, j, -407 in ascending order.\nAnswer: -407, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (1 - -11 - 2)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) + ((-28)\/48)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 16*a - 3 = 0. Let b be (-1)\/(a + (-34)\/35). Let p = b - -104. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4 and -29\/178.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1204)\/2709)\/(5\/(-27)). Let 2\/5 + g*i**2 + 2\/5*i**4 - 8\/5*i**3 - 8\/5*i = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + 3. Suppose 2*l - 3*s = l - 2, 5*s - 20 = 5*l. Is 14 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 4. Let n(t) = -t + 1. Let l(k) = -2*k**2 + 24*k + 50. Let o be l(-2). Give o*d(u) - 26*n(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2575075 by 12.\nAnswer: -2575075\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/6*((-141360)\/806)\/20\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/12 - (-6)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 40\/23 (b) 7732 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -12059\/4452?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8227879141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 15. Let z = -16 - 35. Let k = z - -57. Calculate the remainder when 32 is divided by f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9849 and 2640939?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -4, 1452?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-nine quarters of a week?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 81016.\nAnswer: 3\/40508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/43? (a) -2 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 28. Let x be b(10). Suppose 97 = x*o - 47. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*s + 53032 = -1207*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6225 = r - 23*l + 28*l, 4*r + l - 24805 = 0. What are the prime factors of r?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**5\/30 + i**4\/24 + i**2. Let m(p) = p**3 + p**2 - 2*p - 2. Let x be m(-2). Let b be z(x). Solve t - 15 = b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10603*r - 63. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*z - 130*z + 297. Calculate the lowest common multiple of 99 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -379ba + -57b?\nAnswer: -38379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16532 and 3084.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let v(f) = 74*f**2 + 1. Let c(y) = -v(y) + 4*z(y). Let n be c(1). List the prime factors of (3 - -1) + -2 - (n + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -0.1, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485652249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -5. Let t be 1 + (1 + 9)\/(-2). What is the closest to -1\/4 in p, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952832?\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265320247.\nAnswer: 265320247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.164380876 - 446.\nAnswer: -448.164380876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2 + sqrt(80))**2 + -3 + -3 + (sqrt(80)*-2 + 0 + -2)**2 + -3 + 4.\nAnswer: 32*sqrt(5) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 2\/9 (c) -20 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12 + 30\/(-24). Which is the third smallest value? (a) -3 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/219 and -23\/219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 31*f**2 + 199*f + 14. Determine o(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/7632 and -115\/33208848.\nAnswer: 1760068944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -63*n**2 - 54*n. Let u be (-3 - -4)\/(-3 + 2). Let x(s) = s**2 + s. Give u*c(f) - 54*x(f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*l**2 + 129*l**2 + 3*l**5 + 2*l**4 - l**5 wrt l.\nAnswer: 120*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3828 = 31*g - 53*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.636436 litres to millilitres.\nAnswer: 8636.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 5 - 6 + 22*i as c + v*i and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1\/(-1) - 6\/(-9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, -97, -324, -633, -1030, -1521, -2112, -2809?\n\"Answer: -j**3 - 32*j**2 - 48*j + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3883256 divided by 1?\nAnswer: -3883256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132608 = -4737*f + 4774*f. Is 128 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466829207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = -58*l + 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/744 and 154\/4 + -66 + 61.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:25 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:55 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289901356?\nAnswer: 2, 43, 1685473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/6*-2 - -214 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by 5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14495, -12315, -8689, -3623, 2877, 10805, 20155?\n\"Answer: -h**3 + 729*h**2 - 15223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - (-15)\/12. Let v be (5\/3)\/(b\/(-9)). Let t = -7 - v. Solve -t = 4*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -3\/2 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -119\/4 in -0.06, 4, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.4. Let d = -13 - -16. Let f = d + -6. What is the closest to z in f, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(40)\/(sqrt(80)\/sqrt(4)))\/(sqrt(324) + (-1*sqrt(324) - sqrt(324)) + sqrt(324) - (sqrt(64) + -2*sqrt(64))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17496 divided by -72\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 4*x)*(-63 + 9*x + 63)*(-1 - 1 + 1).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*q + 5 + 1, -5*k + 2*q = -23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**2)*n\/n**(-1\/3)*(n**2)**(-2\/35))**41 assuming n is positive.\nAnswer: n**(-3362\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-15))\/((-4)\/(-6)). Suppose -d + 4*b = 18, -b + u = -3*d + 3. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6))\/(3\/36). Suppose -2*b - 2*u + m = 0, -3*b + 0*u = -3*u. Let t be -2*(0\/2 + -2). Sort t, b, -1 in increasing order.\nAnswer: -1, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/(h*(h\/(h**(-14\/5)*h))\/h))\/h)*h)\/h**35 assuming h is positive.\nAnswer: h**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -445, 188, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/15, -8, 12, 6.52?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/18100 and 103\/27150.\nAnswer: 54300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*g - 291 + 281 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.5, 4, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10020300 + -1?\nAnswer: 10020233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 9. Let n be ((-42)\/(-9))\/(4\/(-6)). Let l be z(n). Put l, 1, 2 in decreasing order.\nAnswer: l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i + 1 + 0 - 6*i + 2*i. Suppose 4 + 1 = q. Calculate the lowest common multiple of q and m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9535 and 8680?\nAnswer: 16552760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(15\/(-5)*-1)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 10) in base 4?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 2 + 0 + 6. Find the second derivative of 3*w**2 - 2*w**2 + 8*w**2 - a*w + 4*w**2 wrt w.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2\/7 + 5780*n\/7 + 408342\/7 = 0.\nAnswer: -69, 2959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444291539.\nAnswer: 41, 67, 197, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.09 + -1.09. Which is the closest to 2? (a) s (b) -0.4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151489 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4314 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 107?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let u = 22 + -18.2. Let o = -3.84 + u. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/5671771 and 53\/4.\nAnswer: 22687084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44107 and 6301.\nAnswer: 44107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -27. Is 526\/10 + -3*4\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 63 - 12*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - z**2 - 4*z**2 + 0*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5084050 by 101681.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60485734*z**3 - 112104*z**2 + z - 316.\nAnswer: 362914404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l**0*l*l)*l)\/l)**2\/(l**(-2\/7)\/l)**(2\/31))**15)**(1\/2) assuming l is positive.\nAnswer: l**(-3120\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -683 + 677. What is the closest to -3\/17 in g, -0.4, 2, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4 - 4) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*p + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-28 - 1) - (1 - 9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ouuuoorrorouor?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 2820*l + 14225.\nAnswer: -5*(l - 569)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3379113?\nAnswer: 3, 375457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 11. Let k be y(-13). What are the prime factors of k*(92\/2 + -3)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62 - 347d?\nAnswer: -34df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -657114.5.\nAnswer: -1971343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 582 and 3282528.\nAnswer: 318405216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/40 - 2*j**3\/3 - 2*j. Let v(u) be the second derivative of l(u). Determine v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 19683?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - sqrt(1216)*2) + 2 - (sqrt(1216)*-2 + 3 + sqrt(1216)))**2*-5 + 3 + 4 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -7*j**3\/6 - j**2\/2 + 7*j. Suppose 0 = -2*u - c, -16*c + 19*c - 1 = -5*u. Calculate k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 74.65?\nAnswer: -68.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 4*l - 1. Suppose -3*v + 8*v + 15 = 0. Let b be z(v). Put 2, b, -1 in descending order.\nAnswer: 2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177129\/8 + 22141. Let g = -8.8 - -8. Let z = 0 + -5. What is the biggest value in i, g, z, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 + 10 + 2\/(-2). What is the smallest value in x, -2\/3, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -810585, 2, 1 in descending order.\nAnswer: 3, 2, 1, -810585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-273)\/18)\/(4\/(-24))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 213 + 3*m + 221 to h + s*m and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 45*q - 24. Let p(a) = -9*a + 5. Let d(j) = -5*n(j) - 24*p(j). Let f(o) = 2*o. Determine f(d(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -149, -223, -297, -371?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/8 + 4 + (6 - 4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 - 6*k + 5. Let r be j(4). Let d = 4157\/6 + -693. Which is the second smallest value? (a) -21 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -311, -2308, -5527, -9968, -15631?\n\"Answer: -611*j**2 - 164*j + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 0 + -13 + (51 + -53 - -24) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 18*j**2 + 3*j + 23. Give n(-18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -874, -1281, -1684?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*p + 402*p - 2*r = -0*r - 40, -2*p - 2*r = -24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -2107, -4840, -8947, -14590, -21931?\nAnswer: -31132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1447121 - -1447046.00124. Let f = -74.18 + -0.82. Let w = f - y. Round w to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 6\/7, 2, 173, -0.25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51356 to three decimal places.\nAnswer: -0.514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 19, 55, 127, 247, 427?\n\"Answer: 2*x**3 - 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.2 (c) 240\/23 (d) 3 (e) 0.1 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7313cd (base 14) in base 13?\nAnswer: a5c860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/30*(-1)\/5. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**5 - o**5 - 2*o**5 + 5*o**5 - 4*o**5 - 3*o**5 + (2 + 2 - 3)*(0*o**3 + 0*o**3 + o**5) - o**5 - 2 + 2*o**5 + o**5.\nAnswer: 5*o**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1 + z - 4 + 4. Let r(q) = -2*q**2 + 4*q + 2. Let m be 316\/36 + (-6)\/(-27). Let b be 1*(-3)\/m*3. Determine b*r(k) + 2*h(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 6*m + 4. Let q be s(-5). Let f be (q - (1 - 0))\/((-28)\/35). Factor 0 - f*z**3 + 0*z - z**2.\nAnswer: -z**2*(5*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 2 - 2)*(3*x + x - 2*x) + x + x - 3*x + 16*x - 4*x + 8*x)*(4 - 3 - 2) to the form h + p*x and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35147948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o. Let s(f) = -160*f + 14. Let a be s(-13). Suppose -j + a = 5*j. Let w(b) = 349 - b + 0*b - j. Calculate u(w(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.008, 1, 3723.\nAnswer: -0.008, 1, 3723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23650 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.015, 49\/74 in descending order.\nAnswer: 49\/74, -0.015, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/((-656)\/64) - 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 108*g + 111*g - 28, 5*w - 5*g + 154 = 154 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1071877632 rounded to five decimal places?\nAnswer: -0.10719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 44305400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a**3 + 4*a**2 + 3*a**3 - 4*a**2 - 5 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*k - 4233*k**3 - 76820*k**3 - 43*k.\nAnswer: -81053*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 - r + 2. Let l = -749 - -750. Determine n(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - u - 54 = u, 0 = 3*q - 5*u - 71. Let v = 142 - q. Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.02 - 0.02. Let t = i + -4.3. Let w be (10\/(-8))\/(11\/(-44)). What is the second smallest value in w, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 7*m - 42. Determine v(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308236 + 6469111\/21. Let j = -183 - u. Sort 2\/11, j, -13, 0.1 in ascending order.\nAnswer: -13, j, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**3 + 4*m - 9. Let f be z(2). Let s = 10 - 12. Is s bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1161?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/7, -2\/23, 11\/8 in increasing order.\nAnswer: -0.3, -2\/23, 2\/7, 11\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.012.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/10 + 228*w\/5 - 25992\/5.\nAnswer: -(w - 228)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 129176*o**3 + o**2 - 183740*o**3 + 17059*o**3.\nAnswer: -295857*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8938330*j. Let z(p) = -4*p. Give z(w(k)).\nAnswer: -35753320*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -3*u**7\/7 + u**4\/12 - 2*u. What is the third derivative of z(a) wrt a?\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-3) - 20\/(-30). Let w(l) be the first derivative of 4*l**3\/3 + 5*l**2\/2 - l - 16. Is 26 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 5*sqrt(85)*3 + sqrt(85))\/(sqrt(5) - 5*sqrt(15)\/sqrt(3)) + -3 + (sqrt(1088)*-2 - ((sqrt(1700) + 0)**2 - sqrt(1700))) + 0.\nAnswer: -1703 - 41*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-5)\/(-2))*4. Solve -4*b - 10 = 5*p - 3*b, -4 = -m*p - 2*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 15) to base 6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 4*s = -8*o - 12608, 2*o = 4*s + 5032. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -541, -253, 215, 863, 1691, 2699?\n\"Answer: 90*b**2 + 18*b - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -2 (c) 3 (d) 1560 (e) 0.2 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f - 2*z + 8, -4*z + 16 = -2*f. Suppose -9*g = -4*g + 3*v + 15, -v - 5 = f. Solve g = -5*t + 3 - 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2853 - -2888. Solve 3*t + f = 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let l be d(11). Let c = -3 - l. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - -151. Suppose c = 4*t - 3*z, -3*t - 5*z + 37 = -139. What is the remainder when 165 is divided by t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12556 + -0.18556. Which is the biggest value? (a) -337 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 440 = 27*r. What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -665, -1038, -1413, -1790?\nAnswer: -2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k - 10 = 0. Suppose 0 = -4*t + k*t + 26. Suppose -5 + t = 4*r. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)\/h*h**36 assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.008389.\nAnswer: 0.016778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k + 1. Let w(u) = -9*u + 2. Let c(l) = 7*s(l) - 3*w(l). Let b = 564 - 568. Let a(p) = -p**2 - 5*p + 4. Calculate b*c(x) + a(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 5*y**2 + y - 1. Suppose -3*s - v + 11 = -2*v, 0 = -4*s + 5*v. Let r be m(s). Let o = -1 + 7. What is the greatest common divisor of r and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (297 + -307)\/(-11 - -1)*52?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loi when three letters picked without replacement from lrlrcllilrillooll.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 - 22*j**2 + 2*j**2 to the form t + c*j + i*j**2 and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*u**5 - 108*u**4 + 147*u**3 + 48*u**2 - 60*u = 0. Calculate u.\nAnswer: -5, -2\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 3. Let i be 1*(-3 + -3) - -1. Give b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315802 is divided by 78910?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*o + 30*o - 78*o to the form u*o + p and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 86*g**3 - 5*g**2 - 13*g - 3. Let t(v) = -129*v**3 + 7*v**2 + 20*v + 4. Let p(w) = 7*m(w) + 5*t(w). Find the second derivative of p(c) wrt c.\nAnswer: -258*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1008))**2 + sqrt(1008) + (sqrt(343))**2 + -3.\nAnswer: 12*sqrt(7) + 16468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**2 - 3 - 2 + 9*c + 1 + c**3. Let d be a(9). Let t = -229 + d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 9:34 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11923*i*j**3*s**2 - i*j**3 + 6*i*j**2*s**2 + 2*i*j*s + 54*j**2 + 17*s**2 wrt j?\nAnswer: -71538*i*s**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 3*h - 2. Let c = 18 + -10. Let m(r) = -7*r + 58. Let k be m(c). Give o(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120031102033 + 330?\nAnswer: -120031101103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n - 62. Calculate q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/304 and 69\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -1267 and 2.\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416119770.\nAnswer: 2, 3, 5, 7, 53, 163, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:57 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at most as big as 118690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*x - r - 10, 2 = r. Find the common denominator of -85\/2 and 6\/20*(-100)\/x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -329.6.\nAnswer: -326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 + 11*v**3\/6 + 15*v**2\/2 - 4*v. Let m be ((-225)\/60*16\/6)\/1. Give a(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 15. Determine l(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 229442 take away -9?\nAnswer: 229451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 1, -159, -2 in decreasing order.\nAnswer: 1, -2, -19, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78.39056l?\nAnswer: 78390.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*u + 181. Suppose 0 = -3*q + u + 24. Calculate the highest common factor of 506 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**4 - 4*u**4 + 6*u**4 + u**4 - u**4 + 3*u**4 + (-2*u**2 + 0 + 0)*(-u**2 - 3*u + 3*u) + 4*u**4 + 0*u**4 - 2*u**4)*(-u + 5*u - 10*u).\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -699*4334\nAnswer: -3029466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 equal to 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/61 (b) 0.2 (c) -3\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 3749?\nAnswer: -26243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 17*x + 245. Let o = 9 + 11. Suppose -5*l + o = -10. Calculate the smallest common multiple of x and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264802 is divided by 631664?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*z + 0*z + 130 = 0, 3*z + 52 = 2*u. Solve 4*j + 25 = -3*i, -3*i - 5*j = -i + u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/10))**(-8\/11)*((d*d**(-2\/13))\/d)**47 assuming d is positive.\nAnswer: d**(-5222\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 374*w - 167. What are the prime factors of a(-61)?\nAnswer: 30089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 4, -7 in increasing order.\nAnswer: -7, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1150\/460*(-28)\/460*(-6)\/(-21)*-2.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - l + 78, 117 = -0*t - 3*t + 5*l. Let u = 117 + t. Let p = u + -45. What is the greatest common factor of 231 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*l + 4. Let n(r) = -115*r**3 + 14*r**2 + 44*r + 21. Let q be n(9). Is q\/(-84) + l\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 8*b. Let w(y) = 3*y. Suppose 17*v - 13*v - 12 = 0. Let o = -1 - -9. Calculate o*w(a) + v*l(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86266 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1379 divided by -1.\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 4*g - 5, 3*v + 9 = 0. Let l(c) = 27*c**2 + 1. What is the tens digit of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30482325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, d: 8, p: 2, u: 1, a: 3}. Give prob of sequence eu.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2, 49\/293, -0.1, 1\/44?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + sqrt(72) + 2 + -5)**2.\nAnswer: 24*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 11 = 2*i, -4*i + 3 = -2*m + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -174 + -b9b09?\nAnswer: -b9c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/3, -46, -4, -1.4, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156317 and 10549?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -16370 + 70622. Suppose -9*y + 13*y = z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(448) + -4 + sqrt(448) + 0 + sqrt(448))**2 + sqrt(448)) - ((sqrt(448)*-2)**2 + sqrt(448) + -1 + (sqrt(448) + -1 - sqrt(448))**2 + 5).\nAnswer: -5845 + 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -783 (base 9) in base 16?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 8. Calculate the least common multiple of ((-4)\/(16\/(-3)))\/(36\/384) and h(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a\/(a\/(a\/(a\/a**(3\/2))))*a)\/a))**(1\/11)*(a*a\/(a\/(a\/a**4)))**(-28) assuming a is positive.\nAnswer: a**(1229\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = h - 5*h + 108, -5*h = -3*j + 81. Suppose 0 = -f + 13 + 4. Calculate the remainder when j is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 8052?\nAnswer: 8052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-42))\/((-2)\/(-4) + 0). Let y = -13.5 - -13. What is the closest to a in -1\/7, y, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.2. Let y = -20 + 19.6. What is the third smallest value in y, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36200 and 3272.\nAnswer: 14805800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*i + 3 = 0, d = 120*i - 116*i + 1. Suppose 4*h - 25 + 9 = -4*v, -5*v = -5*h. Suppose 2*n - 3*n = -h. Is n >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 2:40 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -2 - (218 + -208)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 58\/113 (c) -1\/12 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 2*sqrt(180)*2 + sqrt(180))\/(6*(sqrt(16)*2)\/sqrt(4)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73894141 to the power of 1\/2, to the nearest integer?\nAnswer: 8596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 74*p = 198. List the prime factors of (-4 + p\/15)*360.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*a**2*o**5 + 2*a**2*o - 20*a*o**5 + 3*o + 19 wrt o?\nAnswer: 780*a**2*o**3 - 400*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37773.19ng?\nAnswer: 0.00000003777319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013455957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 = -25. Let c be (-18 + (-2 - a))*1. Let k = 30 + c. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 72*m - m**2 - 7 + 37*m + 3 + 34*m. Let z(v) = -20*v**2 - 25*v + 225. Let x(l) = 25*j(l) + z(l). Suppose x(q) = 0. Calculate q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 7*t**2 + 455*t + 3911. Give p(-9).\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -y - 4*y, -n - 1 = -4*y. Let m be ((-1)\/(-2))\/(n\/164). Is (-3)\/12 + m\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 5 + w**2 - 9 + 2*w**3 + 2 + (2*w**3 + 2*w**3 - 2*w**3)*(2 - 3 + 2) + 3*w**2 - w**3 - 3*w**2 in the form p*w**2 + k + v*w**3 + f*w and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 3163 = -5*f, 5*l = 2*f - 1249. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 65*l**2 + 2*l + 1. Let w be s(-1). Calculate the common denominator of 740\/3*2\/w + -2 and (-710)\/12*(-2)\/40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 33.\nAnswer: 62\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1213985475 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q + 5*m = -269, 3*q + 198 = -5*m. Let s = 152 + q. Suppose -31*r**2 - 125*r**3 - 105*r**4 + r**2 + s*r**5 - 21*r**5 - 10*r**5 = 0. Calculate r.\nAnswer: -1\/2, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 12*f**2 - 23*f - 164. Determine i(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 30\/7 (c) 1211280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14\/9, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 22. Let v = -0.0279 + -0.4721. Sort v, -5, -10\/3, c.\nAnswer: -5, -10\/3, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2772 + 30*x**3 - 2786 - 14*x**3 - 18*x**3 + 5558.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 10*c**2. Let g = -24 - -14. Let h be r(g). Solve 4*k + 16 = -3*l, -4*k + h*k = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 54*y + 103. Let l be k(-25). What is the second derivative of 2*n + 50 - l*n**5 - 19*n**4 - n**2 + 37*n**4 + 47 - 18*n**4 wrt n?\nAnswer: -60*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3713, 32, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*y - 243*y + 6*y**2 + 97*y - 3*y**2 as i + v*y**2 + q*y and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {x: 1, l: 2, g: 1, z: 2, w: 4, u: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12723290 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 771779.7 milligrams?\nAnswer: 0.0007717797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 119809 in decreasing order.\nAnswer: 119809, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*q + 20, 2*q + 0 = 5*k + 1. What is the closest to -1\/4 in q, -0.07, 0, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118 or -2121?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47.4715429 + 25.47154248. Let s = 22 + w. Round s to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l**2 + 1)*(4 - 4*l**2 - 4)*(0*l - 2*l + 3*l).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from rrrtrrrrrtrt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 4.6 (b) 0.5 (c) -2 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14542727.8 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - l - 2. Suppose 5*c = 2*o + 4, c + 0*o + 13 = 5*o. Let g be h(c). Solve g*r + r + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1381*t + 3590 - 3590 - 27*t to f + q*t and give q.\nAnswer: 1354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4509, 4495, 4459, 4389, 4273, 4099, 3855, 3529?\nAnswer: 3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/68*(-24293)\/10003?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(320) - 5*(sqrt(320) - (sqrt(320) + sqrt(320)*1)) - sqrt(320)) + sqrt(320) + -5*(sqrt(320) + -2*sqrt(320)))*-3*-2*2*-2)**2.\nAnswer: 22302723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 78*p + 42*p**2 - 3*p**3 + 62*p**2 - 71*p**2 = 0. Calculate p.\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*i + 3 = 1, 12 = -3*i. Let f(o) = -o - 3*o + 5*o. What is f(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 73973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 649100 to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4078095.\nAnswer: 3, 5, 7, 38839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15693584 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:33 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5987, -6016, -6049, -6074, -6079, -6052?\n\"Answer: 2*o**3 - 14*o**2 - o - 5974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1 + 4 + 37*c**2 - 12*c**2. Let o(i) = -24*i**2 - 6. Let b(v) = -4*o(v) - 3*r(v). What is the first derivative of b(n) wrt n?\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 + 44936586*i**4 - 12029324*i**2?\nAnswer: -60*i**2 + 1078478064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s**3 + s**2 + 2*s + 2. Let g be h(-1). What is the remainder when 126 is divided by 33 + 4\/g*2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + 3*h)*(39*h**2 + 11*h**2 - 12*h**2)*(2 - 1 + 1).\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1)*-2.\nAnswer: -18*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*h. Solve 2*r = -h*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19924797, -19924801, -19924805, -19924809, -19924813, -19924817?\nAnswer: -19924821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26686167\/32 greater than or equal to 833942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*m**5*x - 477*m**3*x - 2*m**2*x + 21506*m + 32*x wrt m?\nAnswer: 1640*m**3*x - 2862*m*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26597 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*b - 16, 5*b = 4*g - 6*g + 8. Suppose -g*t + 530 = t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4561+-258500464\nAnswer: -258495903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 + 120. Sort 2, -4, m in descending order.\nAnswer: m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + o + 0*o - 2*o + 0*o + o + (2 + 1 - 6)*(2*o + o - 2*o) + 3 - 3 - o - o - 4*o + 4*o + 0*o + o + 1 + 3.\nAnswer: -7*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 214273 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -88099 and -88088 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56737 is divided by 54860.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 186047 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -15. Suppose -7*h = 24 + 18. Let k(r) = -14*r + 4. Let g be k(h). What is the greatest common factor of c and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 2\/5, -3\/5035, 1\/3?\nAnswer: -3\/5035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*j = -23*j + 49140. Is -633 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 - 16 = 46*p - 48*p. Which is smaller: 60 or p?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 337 = -2593. Is v a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 20*q + 22*q + 60, 0 = -3*j - 4*q + 190. Suppose j = 2*g - 224. Calculate the highest common divisor of g and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6183 and 12389463.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z*z\/z**(-4\/5))*z)*z)\/((z\/(z*((z**1\/z)\/z*z)\/z))\/z)*z**(-8)\/z*z*z*z*z\/z**(3\/2)*z*((z\/(z**(-1)*z*z))**(-38))**(-20) assuming z is positive.\nAnswer: z**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.262584281 to 5 dps.\nAnswer: -0.26258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o + 20. Let m be (-318)\/(-42) - o\/(-7). What is the units digit of m*-3*(-10)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12110222 (base 3) to base 12.\nAnswer: -238b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42204932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 0 + 8 + 0 + -15.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 593, 562, 505, 410, 265?\n\"Answer: -2*c**3 - c**2 - 14*c + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (83 + -60 - (-2 - -10))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.138 (b) -3326\/25 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxll when four letters picked without replacement from luuuluxlulvlluull.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 293 in 119, 16, -4, -2\/7?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 30 = 5*r + b, 4*b = -r + 17. List the prime factors of (-414 - r)*1\/(-3).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33918 - 33933 + p**2 - 3*p**2.\nAnswer: -2*p**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -7326 and -7243 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -15462873?\nAnswer: 3092574.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 28 = -3*i, -2132933 = -2*q + 3*i - 2132901 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*p**2 + 95\/4*p + 25.\nAnswer: -5*(p - 20)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1171*s**5 - s**4 - s**3 + 27403*s wrt s?\nAnswer: -23420*s**3 - 12*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 14. Suppose -10*r + g*r = -8. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 170\/15 - 8\/(-12). Which is smaller: z or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -4.01. Let x = -13.22 + 0.22. Let m = x + 13.2. Which is the third smallest value? (a) i (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d9 + -4?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -10.6. Let j = -66 - 283. Let h = -339 - j. Which is the third biggest value? (a) w (b) h (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 + j - 3. Calculate z(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 6*b + 18. Let g(s) = 2*s**3 - 11*s**2 - 7*s + 12. Let n be g(b). Let q be (-477)\/(-53)*2\/n*1. Solve -q*z - 1 = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -53 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 328 - 333.41. Let h = -0.41 - g. Which is the closest to -1\/3? (a) h (b) 3 (c) -15 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by -22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(-2))\/(-21 - (-23645)\/1126). Is d not equal to -6194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8280)\/(-2208))\/((-15)\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/3 + 28*j**4\/3 - 635*j**3\/3 + 490*j**2\/3 + 2524*j\/3 - 2408\/3 = 0. Calculate j.\nAnswer: -43, -2, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 716811 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 29742858687*x + 0 - 29742858685*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7461 - -66.2539. What is the biggest value in l, 1, 2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.281 and -1?\nAnswer: 0.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99 - 8?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01449 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*m**3 + 2 - 6*m + m + 7*m to x*m**2 + a*m + k*m**3 + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*a**3 - 91*a wrt a.\nAnswer: -864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*v = -455, -4*h + v + 2*v - 360 = 0. Is h greater than or equal to -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 0 + 2 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 285.2891 litres?\nAnswer: 285289.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*d = 15921, -24*g - 4*d = -19*g - 11409. Calculate the greatest common factor of 198 and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2159394.23 rounded to the nearest 10000?\nAnswer: -2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 98 = 2*z, 201 = 5*g + 5*z + 41. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62197.13 centuries in months?\nAnswer: 74636556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 u, and 1 t when three letters picked without replacement from dukkbtf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6259.905 years?\nAnswer: 625.9905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/((-2675511)\/(-402)))\/(7*1\/3).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 5. Let r be o(4). Let j = -65 + 60. Sort j, -1, r in descending order.\nAnswer: -1, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16*j. Let g(v) = -141*v**2. Calculate o(g(x)).\nAnswer: 2256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338 - 333. Suppose 4*u + 3*t = 133028, -t + 222702 = r*u + 56417. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*x - 12, -5*q + 4*x = 2*x - 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -454*z - 183*z + 13811 + 2114 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(-3 - 3 + 4) - 3 + 11 + 3)*(-1 - 2*q + 1 + (-4 + 4 + q)*(0 + 2 - 1) - 2 + 2 + 2*q - 3*q + 4*q - 3*q + q - 2*q + 4*q).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 149741508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4 - 4)\/((-1)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20770, 20785, 20800, 20815, 20830, 20845?\nAnswer: 20860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184 + 98. Let n = o + 85.998. Let u = -2.002 - n. What is the fourth smallest value in -1\/3, u, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/12 - (-5)\/(-15). Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q**2 - 30*q + 6. Let v be w(-4). List the prime factors of (-97300)\/(-210) - v\/3.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - 3175*n + 946*n - 1699*n in the form y*n**2 + m*n + b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 11:44 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23287 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115.63 + 115. Let m = 0.6237 + n. Round m to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q**5 + 4 - 64*q**2 - 14*q + 80*q**2 - 4*q**4 - 4*q**3 = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/24 - 3*h**3\/2 + h**2. Let b(x) = -x**3 - 3*x**2 + 6*x - 6. Let k be b(-5). Suppose -268*l + 270*l - k = 0. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 - 4 + 6*k**3 + 4.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlfllfhllfnvnf. What is prob of picking 2 f, 1 n, and 1 l?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (28 + -11 - -2) - -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/91 - (-9)\/(-42)*2. Suppose 10*z - 14*z - 2*a + 4 = c, -z + 23 = -5*a. Calculate the smallest common multiple of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -734 + 731. Calculate the remainder when 279 is divided by x\/(-5)*(-470)\/(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 1, b: 2}. What is prob of picking 1 r and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320422312 + -12?\nAnswer: -320422324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 16*f**2 - 58*f - 19. Determine q(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/2, 61\/490, 3, -3?\nAnswer: 61\/490","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.6 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + x**2 + x. Let y(l) = -8*l**3 - 3*l**2 - 3*l - 12. Let k(f) = y(f) + 3*z(f). Differentiate k(r) wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(2*g + 3*g - 4*g + (1 - 1 + 2*g)*(0 - 2 + 0) - 39 - g + 39).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572137 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161260 is divided by 1536.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 9*s + 2*s - 3744811. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*(-6852)\/(-9707).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(2057)*-1 + 4.\nAnswer: -10*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57940001\/3700 + -391757\/25. Let f = -3\/148 - j. Find the common denominator of 3 + 192\/(-14) - -3 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213\/280 + 11\/14. Calculate the common denominator of -33\/56 and i.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 5*t + 3. Let l be f(5). Suppose -6 = -l*y, -4*z + 8*z - 5*y = 38. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*o**4 - 3*o + 4*o**4 - o**4 wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1675 - -2.1675. Let t = 3 + -3.2. What is the third smallest value in t, f, -2, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1582, 1583, 1584, 1585, 1586, 1587?\n\"Answer: i + 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -747*a**6 - 2*a**2 - 277*a wrt a?\nAnswer: -89640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-252)\/(-5))\/(3\/10). What is the greatest common factor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*d - 144333 + 138660 = -17*d for d.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/23)\/h**(-34))\/(h**(1\/26)*h*h*h)**(-3\/25) assuming h is positive.\nAnswer: h**(515051\/14950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-8)\/(-8) + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 24. Let j(i) = -6*i - 3. Let x be j(v). Solve -x*a - 3 = 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40238 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 2*i + 5. Let b = 85 + -89. Let l = 6 + b. Let y(h) = -4*h**2 + 4 - 4*h + h + l*h + 3*h**2. Determine 3*a(g) - 4*y(g).\nAnswer: -2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqop when four letters picked without replacement from cpcnqopccnpqonppqc.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/232847030 and -49\/18?\nAnswer: 2095623270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 5*s + 9*s. Let w be (s\/(-1))\/((-21 + 3)\/(-9)). Factor 4\/3*h - 4\/3*h**2 + w - 1\/3*h**3 + 1\/3*h**4.\nAnswer: h*(h - 2)*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k + 56. Let b(d) = -36940*d. What is x(b(j))?\nAnswer: -517160*j + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 182?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 less than -0.1341309834449?\nAnswer: -82.1341309834449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018195168 rounded to 4 decimal places?\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 + 48072*b**2 - 384432*b + 768768 = 0.\nAnswer: 4, 16016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3, 3*y + 87 = h - 94. Let d = 413 - h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8400 and -109\/2800.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1922*b**2. Let l(c) = 2*c + 1373. Calculate l(x(q)).\nAnswer: -3844*q**2 + 1373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-216)\/(-1152) + (-1261)\/(-16). Suppose -5*o + 0*o = -525. Let q = o - t. Calculate the remainder when 99 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56442 by 6.\nAnswer: -9407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 715\/4 or 178?\nAnswer: 715\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1224345541?\nAnswer: -1224345534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7820*m + 180 = -7840*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-399)\/(-28)*(-32)\/6. Let h = 105 + y. Calculate the greatest common divisor of h and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -55)\/4 - 4. Suppose 0 = -x*v + 2*v - 280. What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101124 + -101121. Let v = 0.6 + -12.6. Sort -0.9, v, n, 2\/7 in ascending order.\nAnswer: v, -0.9, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = 0, -5*b - 2 = -z - 6. Suppose 0 = -2*q + 4, l + b*l + q - 69 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 + -144. Let t = h - 167\/2. Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*i = 198*i. Let b(t) be the third derivative of i*t + 1\/120*t**4 - 1\/300*t**5 - 29*t**2 + 0*t**3 + 0. Find g such that b(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5354b5 (base 12) in base 3?\nAnswer: -2110211211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:37 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 - -0.48. Let d = -20 + 13. What is the fourth smallest value in d, -0.02, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 153 - w + 475 - 160.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3 + 543\/(-63) and 9\/(-2)*(-2)\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*r - 3489 = 104*r + 10652 + 5164 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 3*t**2 + 4*t + 4. Let w be q(4). Suppose 5*y + 5 = w*c, 2*y = 7*y - 15. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -824\/2743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-6) - (-2 + 0). Let v = -4 - -1. What is the third biggest value in -1\/8, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 1.28, -9?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = -3*h, 0 = 3*h + h + 4*g. Let i(c) = -c**3 + 4*c**2 + 2*c - 4. Let w be i(h). Solve r - 2*a = w, -4*r + 5*a - 3 = -35 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = -58*s + 61*s, 0 = -3*u - 12 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2834*m**4*u - 6*m**2*u**3 - 4*u**3 + 58281*u**2 wrt m?\nAnswer: -11336*m**3*u - 12*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 536, 738, 928, 1112, 1296, 1486?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -7*i**6\/1620 - i**5\/108 + i**4\/54 - 11*i**3\/2 - 12*i**2. Let h(a) be the first derivative of g(a). Factor h(n).\nAnswer: -2*(n + 1)*(7*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4496271\/17 - 264477. Factor 6\/17*x**2 - 90\/17*x + m + 2\/17*x**3.\nAnswer: 2*(x - 3)**2*(x + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 93872111*s. Let i(l) = 4*l**2. What is i(w(m))?\nAnswer: 35247892894385284*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = -3*t + 3, -g = -4*t - 26. Let u be 2\/(-3)*(-4 + 21\/t). Solve -u*v + 0 = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3132 and 3512160?\nAnswer: 101852640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306743 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50105181 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k**3 + 2*k**2 - 313*k + 2. Let z(x) = -26*x**3 - 4*x**2 + 622*x - 5. Calculate -5*d(w) - 2*z(w).\nAnswer: -3*w**3 - 2*w**2 + 321*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5590 + -3879. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 115, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(2 - 4 - (-1)\/(-2)). Let y be (-1)\/((2 - (-44)\/p) + 0). Suppose -y*w + 1285 = -0*g - 3*g, 0 = -5*w + g + 1275. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*l = -4, -55*l = -k - 68*l + 51. Let o(q) = -q**2 + 5*q + 3. Let w be o(5). Let i(u) = 9*u**3 + w*u**3 - 1 + 0. Give i(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4140 by -18.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -8*f**5 + 7094*f**4 + 10038*f**3 - 1029158*f**2 + 758066*f + 253968 = 0.\nAnswer: -13, -1\/4, 1, 11, 888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*m**5 - 92\/3*m**4 - 968*m + 548\/3*m**3 + 0 + 44\/3*m**2 = 0.\nAnswer: -2, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1552cd + 6?\nAnswer: 1552d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11865 - 11881.979. Let k = 79 + -62. Let h = k + c. Round h to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6167 and 0.79?\nAnswer: -4871.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*l + 183*l - 5278 = 92*l. Calculate the highest common divisor of l and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002100221211 + 1?\nAnswer: 1002100221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, m: 1, z: 4, t: 2}. What is prob of sequence zvtt?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -261\/1621?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -52*r + 12 + 5 + 73 + 106. Let z be c(6). Are z and -116 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-146209)\/(-2))\/(10\/(2 - -18)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtjyb. Give prob of sequence jd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 243146 in 0.2, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25558 or -11693?\nAnswer: -11693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-4)\/14 - 1. Let q = 205\/4 - 51. What is the closest to -2\/5 in s, -2, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1450562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 12:14 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 58, 43, -5, 5, 3.\nAnswer: -5, -1, 3, 5, 43, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1920 by 12.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*a + 30 - 59 + 29)*(-8*a + 3 - 3)*(0*a - 2*a + 0 + 4) as k*a**3 + j*a + d + c*a**2 and give k.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(2)*6)\/(sqrt(12)\/sqrt(96) + sqrt(2) + sqrt(8)*1).\nAnswer: 48*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(557634\/153))\/(3\/(-6)).\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, o: 3}. What is prob of picking 1 b and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = 4. Let z = k + 25. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 - m**3 - m**3)*(-4 + 22 + 5 - 4 - 3 + 6 + (3 - 5 + 3)*(-1 - 1 + 4)) in the form z*m + v*m**2 + y*m**3 + d and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((10 - -4) + -2)\/2. Solve -n*o = -4*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*f + 54656 - 21545 = -155*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0 - 40. Suppose -4*p + 60 = -o. Solve 0 = 5*c + p - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19155)\/(-9) - ((-100)\/15 + 6). Suppose -5*b + 10*b = -3*s + u, -3*s = -5*b + 2111. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15868068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bumwbummbwittm. What is prob of sequence wt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let y(b) = b**2 - 14973. What is y(n(a))?\nAnswer: a**4 - 14973","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 43.3. Let x = 3.3 - s. Which is the nearest to 2\/3? (a) x (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 64 = -10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 23*n**2. Let u(g) be the third derivative of 5*g**4\/12 - g**3\/6 + 23*g**2 + 30. Calculate i(u(b)).\nAnswer: 2300*b**2 - 460*b + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 66626435.\nAnswer: -1\/66626435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 69. Let z = -125\/4 + i. Let x = 3 + -3.1. Which is the closest to 0? (a) x (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*s + 1, -4*s + 2*n = -6 - 0. Is (-6)\/(-8)*4 - (-1531 - s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 566 = 128*l, -v + 64 = -8515*l + 8513*l - 6*v - 131 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6572 times -8645\nAnswer: 56814940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5. Let o(h) = -6*h**2 + 3. Let a(b) = b**2 - b + 1. Let s(k) = i*o(k) - 5*a(k). Calculate s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2962?\nAnswer: 14810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 0, 5*g - 9*g + 21*j + 0*j = 5*j + 44 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12551 (base 6) in base 2?\nAnswer: 11110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3\/4 + 6932135*l**2 + 13864265*l = 0 for l.\nAnswer: -5545706, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9534279 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l + 43. Let u be z(0). Let h be 1*(-1*17 - -2). Let i = u + h. Calculate the remainder when i is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101544 - 15*y**2 + 101544.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2163 and 7644.\nAnswer: 787332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 17. Suppose -5*c = 0, y - 4*c = 9 + 7. Calculate the remainder when y is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35077714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 17*n + 24 = 0. Is 12 + 2461 - n*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28937801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-96) + 4\/(-10) + 56\/(-160)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -12, 2*t - 654 = -2*f + 2976. What are the prime factors of t?\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**4 + 58*k - 58*k - 2)*(0*k - 3*k + 2*k).\nAnswer: 7*k**5 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c. Let k = 3 + -1. Let b(z) = -3*z**2 + k*z**2 - z**2 + z**2. What is s(b(m))?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -601 - 0?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/428706 and -127\/14076.\nAnswer: 19720476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 1183, 4064, 9695, 18994?\nAnswer: 32879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewww when four letters picked without replacement from jejejjjwwjjejjjjwj?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*s - 1 = 4*j, 4*s = -2*j. Let f(x) = x**j - 3*x + 3*x + 10. List the prime factors of f(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 21\/5*j - 1\/5*j**3 - 45 - 9\/5*j**2. Factor t(x).\nAnswer: -3*(x - 1)*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49945721 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -16664?\nAnswer: -20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3487, 4565, 6369, 8905, 12179, 16197, 20965, 26489?\n\"Answer: i**3 + 357*i**2 + 3129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 1. Let z(s) = -4*s**3 + 9*s**2 - 5. Give 5*r(v) + z(v).\nAnswer: 6*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 6. Let f(r) = -2*r - 6. Calculate 3*c(t) + 4*f(t).\nAnswer: -2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b + 32?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 = 9*x + 116. Calculate the remainder when 207 is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22796 and 227960?\nAnswer: 227960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from rrrrcurrrugrcgurcc?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 + -10 + (6 - 3) - 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((-8)\/(20 - 52)*1) - 76.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n - 2. Let u(z) = -9*z**2 + 39*z + 20. Let g(o) = 8*i(o) + u(o). Give g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2946000 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.0181l in millilitres?\nAnswer: 450018.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 5 = -12*v, 5*y - 182390 = v. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4 + 2440627*k**3 - 7143211*k**2 wrt k.\nAnswer: 24*k + 14643762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13554 + -343204?\nAnswer: -325210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18360 divided by -1020?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 709226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 31*p**2 - 5*p + 3. Let m(n) = -n**2 + 3*n. Give -3*m(l) + z(l).\nAnswer: 34*l**2 - 14*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*m + 14, -4 = 5*b + 4*m + 6. Let o be 2\/(-2) + (-21)\/(-7). Suppose -l - o = -b*l. Solve 0 = a - l*f - 10, -2 + 17 = -3*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-312)*-60 - (-26)\/(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4033072.\nAnswer: 2, 443, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2793 is divided by 539.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 2 + -6 + 12\/150. Which is the nearest to i? (a) 1\/4 (b) -0.2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 70. Let h(m) = -1. What is 6*h(f) - u(f)?\nAnswer: -f + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 17)*(22980\/1000 - 23)*-4.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 97 + 13)*(0*t - 4*t + 2*t + (-2*t + 5*t - t)*(2 - 1 + 1) + (6 - 3 - 1)*(0*t + 0*t - t) + 0*t + t - 2*t - t + 0*t + 3*t).\nAnswer: -111*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(7) + -3) - sqrt(7)) + -3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*y**3 + m**2*y + 14*m**2 + m*y**3 + m*y**2 + m*y - 132*y**2 - 66*y wrt y.\nAnswer: -6*m**2*y + 6*m*y + 2*m - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0 + 24*x**2 + 1\/8*x**4 + 7\/20*x**5 - 3*x + 32\/3*x**3. What is the derivative of c(m) wrt m?\nAnswer: 42*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 85. Suppose f = 5*a - m, -6*f = -a - f + 17. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h. Suppose 641*t - 30 = 671*t. Let p(x) = -4*x**2 + 10*x - 1. What is t*p(w) - 5*q(w)?\nAnswer: -w**2 - 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -9, 1, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1092072047.00000001 + -1092072040. Let g = -17 - -10. Let q = g + b. What is q rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32.9 in 3, 1\/32, 0.5?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2 - 16398010*p + 32796040 = 0. What is p?\nAnswer: -3279604, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48227924 is divided by 609?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 66242, 5 in descending order.\nAnswer: 66242, 5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -858 (base 12) to base 8.\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = 0, q = 6*q + 5*i + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + 11*x + 1. Let r = 154 + -157. Let y be g(r). Solve a = y*h + 2*a + 21, -2*h + 2*a = -2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 5. Suppose -i*v = -4*v + 14. What is the tens digit of 2\/(-2) - v*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 25\/4 + 10*(-15)\/840\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1568\/9 - 174. Let q = 1388 - 1419. Which is the nearest to q? (a) -0.1 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 71*a. Let q(o) = -142*o - 1058. Give q(i(d)).\nAnswer: -10082*d - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*v - 4, 0 = 5*s - 4*v - 4 + 2. Suppose -s*g - 15 = -5*g. Suppose g*d + 3*p + 16 = 0, 14 = -4*d - p - 2*p. Let y(f) = f - 2. Give y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 15*b**2 - 24*b - 25. Let n be k(10). Find the common denominator of -109\/18 and (n\/35 + -7)\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -27.6.\nAnswer: 27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.1 (b) -1 (c) -257.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6083, -12146, -18209, -24272?\n\"Answer: -6063*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:49 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12)*w**(5\/7)\/w)**(-36))**(-30) assuming w is positive.\nAnswer: w**(-92880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1303 + -1271. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = k + 4, -1015*w + 30 = -1005*w for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -1031, -2219, -3881, -6017, -8627?\nAnswer: -11711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25029029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 13) + -38 - -17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 21 - 47 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/91 in 0.2, 5, 45, 0.03, 0.52?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1\/72 (c) -1\/17 (d) -6 (e) -0.3 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020552539 rounded to 6 dps?\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/16506 and -115\/11004?\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015025 to four decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7318262*t - 2163929 wrt t.\nAnswer: 7318262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.161 + 7.619. Let w = d + -7.7481. Round w to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.186212 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/30 - 631*j**2 - 2. Let n(g) = 5752*g. Determine r(n(u)).\nAnswer: -66171008*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4254 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4, 3, -15, -6 in descending order.\nAnswer: 5, 4, 3, 0, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 102*h + 4696. Calculate t(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7089.2 - -0.4\nAnswer: -7088.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.762 + -0.762. What is the closest to a in 5, -2, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40777 is divided by 508.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6)**35\/(d**(-4))**(-42) assuming d is positive.\nAnswer: d**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -595 (b) 2\/3 (c) 4 (d) -630\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37976728.\nAnswer: 2, 4747091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49499\/224 - -1558\/7. Calculate the common denominator of 119\/10 and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 + 13 - (1 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a + 20 - 36*a - 11*a. Is d(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340587202.8 rounded to the nearest 100000?\nAnswer: 340600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, and 2 o when four letters picked without replacement from obboboovbobbooobb?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)\/sqrt(108))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3178 by -10360.\nAnswer: 227\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5 + -4.438. Let x = -65954.4620134 - -65954.4. Let k = n + x. Round k to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22.29? (a) -1 (b) -3 (c) -2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2102376540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2380 - 190*m**2 + 2380 + (-2*m - m + 5*m)*(0 - 2*m + 0) in the form x + g*m + h*m**2 and give h.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.5. Let z = -0.1 - u. Sort z, -3, 2\/3 in increasing order.\nAnswer: -3, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72027607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3105 divided by 23\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/3*(-4)\/(-6). Let y = -13 - v. List the prime factors of 15\/(-6)*(-9 - y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 + 66\/12)\/((-10)\/(-744)). Let c = -112 - b. Suppose 4*p = -5*w - 74, 0 = 5*w + 2*p + 53 + 19. Is w less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0072 + 0.0377. Let f = x + -0.052. What is f rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, -4, -22, -73, 2 in decreasing order.\nAnswer: 3, 2, -4, -19, -22, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443*d**2*k**5 + 2*d**2*k**2 - 12*d**2 - 2*d*k - 2*d wrt k?\nAnswer: 8860*d**2*k**3 + 4*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:27 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - 4*f + 4, 0 = 2*q + 4*f - 4. Let u be q\/(-4 - (-1 + -1)). Suppose u = -4*j + j + 27. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103.2 - -94. Let b = u - -9.724. Let g = b + -0.5. What is g rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u - 7. Suppose 13 = u*p + 5. Suppose 27 = -c - p*c. Which is smaller: c or -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 51*z - 2. Let k(x) = -2*x. What is d(o) - 2*k(o)?\nAnswer: 2*o**2 - 47*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3838576 divided by 28?\nAnswer: -137092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -16938.\nAnswer: -59\/16938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6207.7? (a) -3 (b) -0.06 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -858*o - 18826. What is y(-22)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 130 + 138. Suppose -c*d + 315 = 4*n - 3*d, d = -3. Let x = -142 - -155. What is the greatest common divisor of n and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7109*r - 604276. Calculate i(85).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -77 + (0 - (-1 - -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - t - 7 = 0, -4*t = 2*j - 5*t - 1. Let x be (-2194)\/(2 - (-1 - j)). Let m = 3263\/3 + x. Find the common denominator of m and 25\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2422142 - 3410?\nAnswer: 2413232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y + 5*y + 3*y - 9*y**2 - 4*y.\nAnswer: -3*y*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, f: 1, p: 2, b: 1}. What is prob of sequence ubu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -x - 7, -o - 4*x = -4*o + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152482377 to the power of 1\/2, to the nearest integer?\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 453373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - 3 - 5)) + (0 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7362717?\nAnswer: 3, 17, 31, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -4*t. Let b(v) = -v + 2*v - t*v - 1 - 2*v. Determine b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 7*m - 2*m)*(5141*m + 24 - 21 - 2*m**2 - 5149*m) + 5*m**3 - m**2 + 0*m**2 - 4*m**3.\nAnswer: -m**3 - 9*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/11 - 32*l**3\/11 - 32*l**2\/11 + 768*l\/11 = 0. What is l?\nAnswer: -12, -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.03, -1 in increasing order.\nAnswer: -1, -0.03, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**5 - 8*h**2 - 643*h wrt h?\nAnswer: 160*h**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.4 - -46. Which is the second biggest value? (a) 0 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1310 + -10021120?\nAnswer: -10023030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*h = -f + 47, 0 = -h + 3. Let k = 32 + f. What is the common denominator of 59\/2 and k\/(-28)*(-243)\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 34 - 35 + a + 4*a - 4*a. Let z be (((-4)\/(-2))\/(-2))\/1. Let x be z + (-1 - -1) - -7. Let p(f) = -7*f + 4. Determine x*y(c) + p(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/47, 11, 0, 10, 3\/5 in decreasing order.\nAnswer: 11, 10, 3\/5, 3\/47, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**3 + w**2. Let p be z(-1). Let m(j) = -j**2 + 8*j - 3. Let h be m(p). Suppose 142 = -h*v + 530. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -6, -27, -46, -57, -54, -31, 18?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/9 - (-120764)\/(-684))*((-22)\/(-6) + -4).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - 2*c)*(-9041 - 4974 + 6722 - 8278 - 3028 - 5991).\nAnswer: -49180*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294613 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*y - 35, y + 5 + 6 = 5*m. Let t = -19.3 + 8.3. Which is the nearest to 0.2? (a) t (b) 6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*((5*p + p - 2*p)*(2*p + p - 2 - 2*p) + (4*p + 0*p - 6*p)*(-46*p + 18*p + 25*p)) in the form o*p**2 + b*p + c and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3926 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 71*y**2 + 72*y + 120. Let k be t(-70). Put -3, k, 3, -2, 2 in descending order.\nAnswer: 3, 2, -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -0.32. Let y be (-11)\/22*(-3)\/(-12)*-2. Which is the closest to 0.5? (a) t (b) y (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 1 u when three letters picked without replacement from nutrunzluzlu?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041955 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 917, 1798, 2651, 3470, 4249, 4982?\n\"Answer: -f**3 - 8*f**2 + 912*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.23354 to zero decimal places.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -246*m**3 - 6*m**2 - 73*m + 28. Let r(k) = 36*k**3 + k**2 + 11*k - 4. Calculate -20*r(o) - 3*z(o).\nAnswer: 18*o**3 - 2*o**2 - o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 3, w: 4, d: 2, t: 3, q: 2}. What is prob of sequence wt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157954390 and 3617.\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*i - 51, -19*i + 20*i = 4*p + 1662 - 1653 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 54, 162, 366, 696, 1182?\n\"Answer: 5*h**3 + 3*h**2 - 2*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -9*r**2 + 3097. Let b(z) = 12*z**2 + 16*z**2 - 30*z**2. Give c(b(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (688832\/80608)\/((-2)\/(-11))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 665.000000341 + -665. What is c rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 430*v**4 - 17*v**3 + 28*v**2 - 4300*v - 475?\nAnswer: 5160*v**2 - 102*v + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 26 + 209. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(-4)\/((-4)\/1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -8*m + m. Solve -s + m = 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -12*i + 70. Suppose -2*o = -3*c - i, c + 3 = -2*o + 13. Let l be (7 - o) + -2 + 5. Solve -l = -0*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) - sqrt(204)*2))\/sqrt(12) - sqrt(2057)*-5) + (sqrt(153) + 4*sqrt(153)*1)\/((sqrt(729) - (sqrt(729) - 1*sqrt(729))) + sqrt(9)).\nAnswer: 115*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*t - t - 160 = 0, -227 = -5*z - 4*t. Suppose z = 5*g - 12. What is the third derivative of -g*o + 11*o - 2*o**6 + o**2 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 2*x + 9. Let n(d) = 9*d**2 - 3*d + 17. Suppose -4*s + 11 = -5*s. Let m(l) = s*u(l) + 6*n(l). Give m(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 61378 = 614678. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2 - 13*m + 113. Let v be k(-5). Solve -43 + 23 = -4*w + 4*j, -5*j = -v*w + 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 12. Let t(a) = a**2 + 8*a + 1. Is t(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 135?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -147, -150, -143, -120, -75, -2, 105?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480.73 centimeters in meters?\nAnswer: 64.8073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -950 and 108.6.\nAnswer: -103170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmlllalmaololal. What is prob of picking 2 l and 1 a?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 37\/3. Let y(h) be the first derivative of 2 - k*h**3 + 3\/2*h**2 - 2*h. Determine v, given that y(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4355*l - 8. Let s be i(-5). Suppose 0 = 13*f - s - 242. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + 1) - (-24 + 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -1.87\nAnswer: 14.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1467.157 + 1504.8. Let u = n - -0.087. Let p = u - 36. Round p to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (7 + -12 - (12 + -2 + -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2 - 17. Let z be 8\/(-2) + 2 - x. Let n be 0 - -1 - 3\/1. Sort n, z, -5 in increasing order.\nAnswer: -5, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 171151 + 17774?\nAnswer: 211145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19506*b + 27*b**2 + 39007*b - 19501*b.\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112211 - 2000?\nAnswer: -121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, w: 5, z: 8}. What is prob of sequence wiii?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*m**2 - 24*j**2 + 1982*j*m**3 - 18*j*m - 2*j wrt m.\nAnswer: -2*j**2 + 11892*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*b*c**4 - 3*b*c - 44*b - 174*c**4 - 4*c**2 wrt c?\nAnswer: 408*b*c - 4176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9930, -39614, -89086, -158346, -247394, -356230?\nAnswer: -484854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 105065535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29037 at most 28922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - f + 1. Let v(g) = g**2. Suppose 5 - 1 = 4*y. Suppose -z - 7 = -y. Give z*v(b) - 2*d(b).\nAnswer: 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -62*p**2 - 4*p. Let q be t(-3). Let d = 550 + q. Let v(c) = 3*c**2 + 2*c - 3. Let r(m) = 7*m**2 + 5*m - 7. Calculate d*r(u) - 10*v(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gys when three letters picked without replacement from segjeey?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1202?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - v - 480. Let l(m) = 20*m**3 - 20*m**2 + 20. Give l(a) + 20*w(a).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 78 = 8*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100 (base 2) in base 6?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2 - 939*z - 213788 = 0?\nAnswer: -551, -388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -771*r**5 + r**3 - 378*r - 3?\nAnswer: -15420*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h - 12 = 0. Let l be 0\/(-2 - 0 - h). Suppose -2*b = -4*z - 36, -4*b - z + 3*z + 42 = l. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44957494.84 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Let k = 5.01 - w. Let r = k + -0.0099994. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-132)*11)\/(131\/(-4061)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 18 + (0 + 4 - 17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 592 = -2*w, w - 236 = -280*j + 278*j. Let k be 30\/4*(13 + -11). Calculate the greatest common divisor of k and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1061*w - 166 + 166 - 1347*w in the form j + x*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060\/39701 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19472759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 821, 0.3, 3\/7, -7, -5, 3\/4, 10 in decreasing order.\nAnswer: 821, 10, 3\/4, 3\/7, 0.3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - 8*k**2)*(k**3 - k**3 - k**3) - 4*k**5 + 16*k**5 - 2*k**5 + (5*k**2 + k**2 - 4*k**2)*(2*k**3 - 3*k**3 - k**3).\nAnswer: 14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 6*l - 9. Calculate g(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:03 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70105km in nanometers?\nAnswer: 701050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 10*n**3 + 10*n**3. What is the lowest common multiple of 6 and i(1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67709 = -2*u - 4*y + 71541, 5*y = 3*u - 208798. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.4315 kilograms in milligrams?\nAnswer: 533431500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x + 51 = 23*x + k, 0 = 3*x + 5*k - 51. What is the third biggest value in 4, x, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 11*p**2 - p + 13. Give g(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-2 + 5 + 1). Let h = 8 + l. Let c(d) = -d**3 + 7*d**2 - 5*d - 2. Let s be c(h). Put -2, 8, s in descending order.\nAnswer: 8, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6519 (base 16) in base 6?\nAnswer: -315453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:54 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194 - 186 - 416*k**2 + 380 to b*k + c*k**2 + n and give c.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**6)**33)**(13\/5))**(-2\/51))**(-33) assuming a is positive.\nAnswer: a**(-9438\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 282095\/3968 and 71 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*2\/(-10)*15. Suppose -5*a + z = -4*a. Solve -4*i - v = -4, 3*v - a*v = i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1300) - (sqrt(1300) + 2)) + -1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -217479.4 rounded to the nearest one thousand?\nAnswer: -217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3298 and 2064.11.\nAnswer: -6807434.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((18048\/18)\/32)\/((-2)\/(-174))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/7)\/((-6)\/(-42)). Suppose 6*o = q + 204. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335906059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 86.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 9. Let a = m - -49. What is the lowest common multiple of a and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-28)*142\/(-10863)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145a1 (base 11) to base 4.\nAnswer: -11003021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s - 69*s - 20 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2928)\/15*53)\/(6\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24477355*o**3 - 33170585 wrt o?\nAnswer: 73432065*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6360 = 4*s, 3*u - 6264 = -3*s + 99. Suppose -18*m = 342 - u. Calculate the smallest common multiple of 143 and m.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/490 and 26\/385.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 4\/3 (b) 4 (c) 3201 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 28\/(-24)*43\/2064*64\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6986537087 - 96.3013476813. Let i = 97 + j. Round i to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v + 55*v - 528 = -44*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5 = 4*x, 0 = 3*k - 4*k + x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 1, 0.3, 0.1232, -17\/6 in increasing order.\nAnswer: -17\/6, -2\/15, 0.1232, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 336 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (0 - -1) - (-39 - -52). Let y = -14 - p. Solve -2*m + 3 = -3*b - 3, y = -2*m - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2353 or -105943\/45?\nAnswer: -2353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021726313 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12053839 by -61187.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*t - 14, 2*a + 3*t - 93 = -103. Let z be (0 + a - 1)\/(-2)*-1. Solve 0 = -x + p - 3*p - 3, z = -4*x - 2*p + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**4 + 24*t - 8. Let x(h) = -2*h**4 + 8*h - 3. Let p(q) = 3*o(q) - 8*x(q). What is the second derivative of p(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81762236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117)*-3 - sqrt(117))*-2)\/(sqrt(99)\/(3*sqrt(11)*3)).\nAnswer: 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 52. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*l + n - 18, -3 = -2*l + n. Let z = -6 + 12. What is the greatest common factor of l and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 428032.8 microseconds?\nAnswer: 0.000118898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6. Suppose g = o + o - 28. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = 36*s. Suppose 4*w - 750 - 406 = s. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10376 is divided by 136.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 216 - -136. Calculate the remainder when d is divided by 91.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -3.\nAnswer: -304\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 678 = -579 + 396 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/7, 0.2, -1.\nAnswer: -1, 1\/7, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1746749 divided by 1\nAnswer: 1746749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let a(u) = 602236*u**2 + 197*u. Give a(j(d)).\nAnswer: 2408944*d**2 + 394*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 7*o + 3. Let v be u(7). Find the second derivative of -5*t + 4*t - t**3 + v*t**3 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q**(-8\/9)\/q)))*q)\/(q\/(q*q*q**(-32)))*(q**(-36))**(-21) assuming q is positive.\nAnswer: q**(6560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*r + r + 4*h, -4*r = -5*h - 71. Suppose 0 = w - r - 27. What is the remainder when 162 is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + 2 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/64)\/((-7)\/91*(-2)\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxu when three letters picked without replacement from {x: 9, u: 5}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 166381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 2*g + 1. Let f be k(1). Suppose 5*s = -4*w + 9 - 59, 4*w + 20 = f. Let y be (-60)\/(-63) - s\/(-21). What is the nearest to y in 2, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a, -10165 = -5*s - 5*a. 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 -1274*j - 456*j**3 - 92*j**3 + 0*j**2 - j**2 + j**2 wrt j.\nAnswer: -3288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 5:21 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 10*d**2 - 23*d + 6. Suppose -n = 3*l + 15, -n = -5*l + 11 - 44. Let c be g(l). Let -2\/7*o**3 + c + 2\/7*o**4 + 0*o**2 + 0*o = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 166*v**3 - 137*v - 42129 with respect to v.\nAnswer: 498*v**2 - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.726 times -3\nAnswer: 2.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/63 and 97\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + (-2)\/6*3)\/(-4 + 5). Let h(b) = -b**3 + 3*b**2 + 6*b - 4. Let y be h(4). Suppose -4*j + 8 = -y. Solve k - 12 = -d*k, -3 = j*v - 3*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 0 + -5 - sqrt(76))**2 + (4 + sqrt(931) - sqrt(19))*3.\nAnswer: 37 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/43? (a) -0.0564 (b) 5 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 3. Calculate r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 452564.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 912117 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190330237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 7*c - 12, a - 5*c = -16. Suppose 5 = 2*m + 3*m. Let h = m - a. What is the least common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -29. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12766081 is divided by 6383035?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078550 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -45, -143, -337, -657, -1133, -1795, -2673?\n\"Answer: -5*s**3 - 3*s**2 + 12*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -900 - -6313\/7. Calculate the common denominator of 51\/5 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-11\/4)*q*q)**(-40))**(1\/6) assuming q is positive.\nAnswer: q**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-1) + 1 + -942 + 947?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 158*t + 71*t - 359*t - 2. Let h(w) = 6*w**2. What is o(h(x))?\nAnswer: -780*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3767*a**3 + 5*a**2 + 9*a wrt a.\nAnswer: -22602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2, 89 in increasing order.\nAnswer: 0.1, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144702 equal to -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 + (2 - 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*w - 32, 7*r + 5*w = 6*r - 11. Calculate the lowest common multiple of 1 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4461\/27 - (-2 - (-60)\/27). Calculate the highest common factor of z and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*x - 0*b - 17, x + 3*b - 1 = 0. Let y = 0 + x. Suppose 3*v = 5 + y. Solve -3*f = -0 + v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2904011\/84 - -34572. Let l = -1\/84 + w. What is the second smallest value in l, 0.5, -4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.9 - -32.1. Which is the second smallest value? (a) g (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 9594.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 9) in base 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (3 + -2 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 10*m = 0. Suppose -3*j + m*w + 15 = 3*w, 3*j - 11 = -w. Let k(o) = 7*o - 6. What are the prime factors of k(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 17 = -190. Let q be -2 + (-51)\/h + -2. Solve -35\/3*w - 15*w**2 - q*w**4 - 25\/3*w**3 - 10\/3 = 0 for w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k + 2. Let q be (4\/5)\/(k\/(-40)). Suppose q + 52 = 4*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8035 = -s, k - 27819 = -5*s + 12344. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, -6\/5, -1, 8\/15, -0.4 in descending order.\nAnswer: 5, 8\/15, -1\/3, -0.4, -1, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.207104 rounded to 4 decimal places?\nAnswer: -0.2071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 - (-81 + 53 - 18)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5 - m**2 - 5. Let s(k) be the third derivative of 0*k**3 + k**2 + 0*k + 0 - 1\/12*k**4. Give r(s(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 5*q + 2. Let i(s) = s**2 + 8*s - 13. Suppose -3*w = -9, -z - 4*w = 2*z + 15. Let j be i(z). Let o be g(j). Solve o - 1 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*u + 13, 4*s - 28 = -2*u + 4. What is the highest common factor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 331*h*t*z + h*z**3 - 3*t*z**3 + 8*t - 4*z**3 wrt h.\nAnswer: 331*t*z + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - 86*t + 40. Give j(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 43*l + 46. Let w be r(44). What is the biggest value in w, 6, -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 63 = 75, 0 = 4*s - o - 14. Solve k = m - s, -5*k = -4*m + m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxuuvrrx. What is prob of picking 1 u and 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -7.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35408 + -5408. What is s rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 157.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 32*j**4 + 341*j**3 + 1222*j**2 - 480*j - 7200.\nAnswer: (j - 2)*(j + 5)**2*(j + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = -5*t + 35, 5*t - 35 = 2*u. Suppose 3*p + 12 = t*p. Suppose -2*o = -p - 3. What is the least common multiple of o and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100000000 - 101?\nAnswer: -10100100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969567?\nAnswer: 3, 79, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**5\/5 - d**2 + 1. What is the second derivative of y(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115189 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 25 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1890 and 2172\/20 - (13 + 1224\/(-85))?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6360608ug in kilograms?\nAnswer: 0.0000000006360608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 9*h - 17. Let u be l(-11). Calculate the remainder when 10*6\/u*27\/2 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, r: 3, n: 6}. Give prob of picking 3 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/5, -2\/157, 649?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -10, -3 in increasing order.\nAnswer: -10, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1932400 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1290*m + 68. Let u(j) = -645*j + 30. What is -9*u(p) + 4*y(p)?\nAnswer: 645*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 11 = 4*t + 3*a, 3*t - 3*a - 3 = 0. List the prime factors of 267\/t - 6\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12940 divided by 5\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 868 - 702 = 5*t, 0 = d - 3*t + 294. Let q = d - -329. What is the least common multiple of 72 and q?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9383 divided by 853\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*g - 209*g - 90 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 650.\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 677328234 a multiple of 3509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 4:40 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3718854 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 4 - 4 + (-4*a + 0*a + 3*a)*(3*a**3 - a**3 + 0*a**3) - 639*a**2 + 76*a**4 + 639*a**2.\nAnswer: 77*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 14579*k**2 + 4860*k.\nAnswer: -k*(k + 4860)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*b = -252*b - 495*b - 82417 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:26 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -710.053 rounded to the nearest 10?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 391 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -62, -130, -232, -374, -562?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5 + 6062*j**4 - 4704266*j**3 + 167907618*j**2 - 1554083604*j + 2474073936 = 0. Calculate j.\nAnswer: 2, 12, 23, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3198080 and 81\/19304?\nAnswer: 406156160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -3\/25*q**6 - 1\/15*q**7 + 0*q**3 + 5*q + 0*q**4 + 0 + 0*q**2 - 1\/25*q**5. Find a, given that x(a) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 + 72\/(-280). Which is the nearest to 1? (a) 1 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -33. Suppose -k*c = -46484 - 12991. Suppose -35695 = -3*z + 5*q, -z + 4*q + c = -q. What is z rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 4 - 1\/12*f**4 + 2\/9*f**3 + 0*f + 1\/2*f**2. Factor h(m).\nAnswer: -m*(m - 3)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 24. Let w be r(9). Suppose 4 = -2*q - w*m, -7 = -q + m - 4. Solve -5*f + 4 + q = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(33)\/(sqrt(54)\/sqrt(2)) + 5)**2 + -5.\nAnswer: -25\/9 - 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 19*a + 49. Let o(u) = -u**2 - 10*u - 23. Determine 5*o(b) + 3*x(b).\nAnswer: -2*b**2 + 7*b + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*t - 229*t - 72 = 0. Calculate the lowest common multiple of t and 15\/40 + 423\/24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 - 3*m - 755 + 755.\nAnswer: 10*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -541*g + 2104*g - 4689 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132987.836 rounded to the nearest ten?\nAnswer: 132990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2*y + (2 + 5 + 8)*(-y + 3*y + 0*y) to the form h*y + l and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*s + 9 = -13 - 15, -10*l + 4*s = 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360 + -0.68929711?\nAnswer: -1360.68929711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 20*u**2 + 4*u - 19. Let w = -45 + 64. Is 38 a factor of v(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 20. What is x(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21643647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-9))\/((-10)\/195). Let j(z) = 2*z**2 + 15*z - 3. What is the hundreds digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.32 - -0.68. Let f = -20 + 15. What is the nearest to q in 2\/13, -4\/7, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 - 155. Let k(a) = a**3 - 2*a**2 - 1. Let p be k(2). Suppose 0*s + s + 2 = 0. Sort p, t, s in ascending order.\nAnswer: s, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose -10*i + 1 = -8*i - 3*f, i + 4*f = 17. Suppose i*b - 105 - 15 = z. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 192.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 1685 - 70. Let t = c - 0. Suppose -34*h + t = -31*h. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/5 - 1476*q**3\/5 + 53568*q**2 + 1660608*q\/5 = 0.\nAnswer: -6, 0, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqtq when four letters picked without replacement from ttqatntq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/52)\/(10\/65).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 370631\/135 at least 2744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let l(z) be the third derivative of z**4\/6 - z**3\/2 - 33*z**2. Determine s(l(r)).\nAnswer: -16*r**2 + 24*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 406\/87 - (3 + 1). What is the smallest value in 0.2, -68, -1, w?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 2 - 8 = 0. Suppose 0 = 5*p - 4*c - 20, -p + z = -3*c - 3. Suppose -s + 0*s = -p. Calculate the remainder when 6 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 15 = 3*j, -4*p - 4*j - 15 = 5. Suppose 4*w = 4*b - 1016, p*b = b + 3*w - 250. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 23104*b + 23102.\nAnswer: 2*(b - 11551)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -77\/1781 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2858 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(1\/5))*w*w*w\/(w\/(w\/(w\/w**(-7\/3)))*w)*(w\/(w*w\/(w\/(w*w**(2\/7))*w)*w*w))**(-2\/107))\/((w**10*w)\/(w**(-5\/2)\/w))**(6\/17) assuming w is positive.\nAnswer: w**(-1262144\/190995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 4*m**2 + m + 4. Let p be u(-4). Let s(z) = 3*z**2 + p - 1 + 2. Let k be s(-1). Solve 28 = k*g + 3*l, 2*l = -g + 7*l - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1902375.3 months?\nAnswer: 1585.31275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36284006, 72568020, 108852034, 145136048?\nAnswer: 181420062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -i - 3*b, 5*i - 2*b + 18 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -24140000 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 183*s + 11338. Determine j(-62).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 55 = -4*i. Let u(p) = -36*p. Let l be u(-2). Let q = l + i. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5\/15*6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - 0.16. Let w = 0.1 + 0.9. Let g = w + t. Which is the third smallest value? (a) -1\/8 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5))**2*3*-6 + -4 - (3*(sqrt(200) + -1)**2 + (-3*(sqrt(200) + 0 + sqrt(200)))**2).\nAnswer: -7843 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**2. Let b(w) be the first derivative of -1\/24*w**4 - 4*w**2 + 0*w + 0*w**3 + 32. Let x(g) be the second derivative of b(g). What is v(x(h))?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 88*y + 211. Calculate a(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28819739407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 128\/3. Let g be (4\/6 - 2)*30\/10. Let s be ((-23)\/9 - -2)*g\/10. Which is the nearest to s? (a) l (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 27 + 16)*(5*h**2 - 4*h**2 + h**2)*(3*h**2 + 2*h**2 - 2*h**2) as c + y*h**2 + p*h**4 + g*h**3 + o*h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 136*c + 28*c + 38*c = -252 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 2, y: 2, d: 1, h: 3, k: 3}. What is prob of picking 1 z, 1 h, and 1 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l**3 + 30*l**2 + 2984*l - 2109. What is w(-19)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38523, -38519, -38515, -38511?\n\"Answer: 4*b - 38527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1075 times 2\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.02849?\nAnswer: -0.002849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 42077771*r - 171 = 42077776*r, -5*v = -2*r + 254 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, m: 3, g: 7}. What is prob of picking 1 m and 1 g?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -55*o + 29*o - 3 + 27*o. Let n(x) = 2*x**2 + 5*x - 4. Let k be n(-4). Let s = k + -8. Determine u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*j**3 - 274*j**3 - 184*j**3.\nAnswer: -637*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 20*o + 65. Let d be b(4). Solve 0 = x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271490226 a multiple of 1377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2685, 21404, 72245, 171270, 334541?\n\"Answer: 2677*t**3 - t**2 - 17*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 - -3. Suppose 4*f - 32 = 5*h, -5*h - 17 = -2*f + 3*f. Sort f, r, 0.\nAnswer: r, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.2 (c) 2\/7 (d) -1\/4 (e) -0.5 (f) -73 (g) -11\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 376891032 from 23.\nAnswer: -376891009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 151450 divided by 13?\nAnswer: 11650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(25\/(-830)) - -1. Is -166 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 7 - 14. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23276, -46563, -69848, -93137, -116436, -139751?\n\"Answer: -q**3 + 7*q**2 - 23301*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 5302 = -29*p - 3600 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i - 14. Let a be y(-6). Calculate the highest common divisor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus -1.25?\nAnswer: -13.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + (-2 - (55 + (4 - (-8 - -21))))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -5*((-1 + sqrt(704) - sqrt(704)) + sqrt(704)) - sqrt(704))**2.\nAnswer: -400*sqrt(11) + 17625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 2, -51, -130, -241, -390, -583, -826?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24451064 + -17051064. Round d to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1, 3\/7, -0.608 in ascending order.\nAnswer: -3\/4, -0.608, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/72 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - 5.357\nAnswer: -6.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/192*-40*(-24)\/(-5). Solve -v*f + 3 = 45 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-20)*-5)\/(((42\/(-24))\/7)\/(-19))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**2 + 5*d - 5. Let c(a) be the third derivative of -3*a**5\/20 - a**4\/6 + 2*a**3\/3 - 2*a**2 - 30*a. Calculate 6*c(v) + 5*k(v).\nAnswer: -4*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 11) to base 5.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -10250352.\nAnswer: -1\/10250352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4\/35, 4\/69 in descending order.\nAnswer: 9, 4\/35, 4\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1070, -2138, -3206, -4274, -5342, -6410?\n\"Answer: -1068*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.5 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(8) - sqrt(16)\/sqrt(2))\/sqrt(4))**2 - 4*(sqrt(2) + -1*sqrt(2)*-4)**2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -21. Let j be (24\/l)\/(3\/(-27)). What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043627 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 260*s + 862. What is d(-133)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16711 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:33 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 36?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrippmimirimiimpi. Give prob of picking 1 p and 1 i.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.6 (b) -3 (c) 2 (d) -0.2 (e) 0.116\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**2 - 22*m - 36. Let s(v) = -3*v**2 - 8*v - 12. What is 3*a(u) - 8*s(u)?\nAnswer: -3*u**2 - 2*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -28. Suppose -4*h - 5*q + 2263 = 698, 2*h + p*q - 785 = 0. Let a = 5 + 50. What is the greatest common divisor of h and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 712\/20 - 4\/(-10). Solve 91*x - 97*x - a = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p**2. Let f(c) = c**2 + 2*c. Let q(a) = -6*a**2 - 13*a. Let n(y) = 39*f(y) + 6*q(y). What is n(o(w))?\nAnswer: 675*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/3 - 52*l - 162 = 0?\nAnswer: -3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6974 and 931249.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - 90. Is 15 a factor of f(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9117 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 50*c**2 - 11693*c - 1670. What is t(234)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52396, -104444, -156492?\n\"Answer: -52048*n - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*d**3*v - 4*d**3 + 4*d**2 + 5*v + 1 wrt d.\nAnswer: 222*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -12 - (-9 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, d: 4}. What is prob of picking 1 m and 2 d?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92.957 - 93. Let s = 0.08 + z. What is s rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 6*l + 1. Determine w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.222937 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + 12. Let t = u + -36.6. What is t rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 95 = -10*b. Let d(u) = 82*u - 473. Let g be d(6). What is the highest common divisor of g and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 13 (c) -0.254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (23 - 80 - -103)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 2*w**2 - w**2)*((w + 4*w - 3*w)*(3 - 2 - 2) + (0 + 3 + 2)*(0 + 0 - 2*w)).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-36))\/((-10)\/90)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-30))\/((-252)\/(-360))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**3 - 6*q**3 + 7730*q**2 - 3863*q**2 - 11*q**3 - 3867*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 58*z**2 + 14905*z + 330750. Give a(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 65, 52, 25, -22, -95?\n\"Answer: -z**3 - z**2 - 3*z + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 - 7*j + 18. Let y be s(-7). Let l = 42 + y. What is the third derivative of 24*p**4 + l*p**2 - 19*p**4 - 19*p**4 wrt p?\nAnswer: -336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*x - 24 = 40, -519*i + 514*i + 87 - 11 = 4*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(34*k**5 + 20*k**5 + 35*k**5).\nAnswer: -267*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:55 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 8, -663, -4, -0.3, 2\/7, -0.07?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + 3*d**2 - 2*d + 2. Let n be (-12)\/30 + 36\/(-10). Let l(z) = -2*z**3 + 4*z**2 - 2*z + 3. Calculate n*v(i) + 3*l(i).\nAnswer: 2*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*k - 8. Let a = 2 - k. Let o be 4*(2 + 3\/a). Solve 4*m - 3*t = 5, o*m - 4*m - 4*t - 14 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 + 11*d - 20. Suppose -5*y + 7*y - g - 15 = 0, 4*g = y - 18. What are the prime factors of u(y)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0236 + -0.017872\nAnswer: -0.041472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246 - 260. Let z be (4\/d)\/((-36)\/(-252)). Let w(g) = -21*g**2 + 6*g + 11. Let f(p) = 4*p**2 - p - 2. What is z*w(u) - 11*f(u)?\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, -4\/11, 0.1, -3\/10.\nAnswer: -4, -1\/2, -4\/11, -3\/10, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - (sqrt(450) + -2*sqrt(450) + sqrt(450) + sqrt(450)))*1)\/((1*sqrt(66))\/sqrt(11) - (sqrt(384) - 2*sqrt(384))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 560896*w + 19662770176 = 0. Calculate w.\nAnswer: 70112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -5\/9, 1?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -181, 4, -8 in ascending order.\nAnswer: -181, -8, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f - 1011 - 614. Let t = f - -128. Solve 0 = -3*d + 3, -t*m - d + 21 = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -123, -270, -475?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 5*d**2 - 4*d + 6. Let q be z(-4). What is the highest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306584, 306592, 306612, 306650, 306712, 306804?\nAnswer: 306932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 + 3*p**3 + 10*p?\nAnswer: 24*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 57. Suppose -x*c + 91 = -234. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + c - c = 85*c - 130 + 50, 0 = 4*q - 4*c + 80 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -31. Let a be 18\/5 + i\/30. Let c be (-18)\/(-4)*(-24)\/36. Sort c, -5, a in descending order.\nAnswer: a, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 412369\/20 + -20624. What is the common denominator of -83\/6 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1273 = -74*j. Put j, -3, 23 in descending order.\nAnswer: 23, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13479233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 5)*(-3 - 3 + 5) + 3 - 4 - 1 + 13 + 3 + 54)*(-w + 5*w + 2*w).\nAnswer: 420*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 times -1507?\nAnswer: -122067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-4) + 107\/2 is divided by (-233 + 221)\/(6\/(-7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16373 - 8909. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/27*68\/(-476)*(12 + -14)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 27. Suppose -w + 1 = 2*j, -b - 5*j + 57 = 0. What is the remainder when b is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:58 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9876\/(-4115)*(-30)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219*t - 15282 + 15282)*(-3 + 4 + 1)*(0 + 6 - 1)*(2 - 1 + 0).\nAnswer: 2190*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30a31 - 49?\nAnswer: -30a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 - 166. Let k(u) = 42*u**2 + 9*u. Let t be k(7). Suppose -4*o - z*o + t = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.1968 millilitres?\nAnswer: 0.0561968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n - 2*n + 270. Let p be 1 - (33\/n - 8\/36). Find x, given that p*x - 2\/5 + 2\/5*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99444 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 + 299.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.04, 3\/431, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((252\/70)\/18)\/(((-253)\/23)\/(-6710))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 4*p - 44. Calculate the remainder when v(6) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-920)\/460)\/(4*-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100 - -10?\nAnswer: 12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 701837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let u(d) = -8*d + 2*d + 5*d + q*d. Let f(z) be the second derivative of -17*z**3\/6 + 2*z. Determine u(f(j)).\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*w, 14 = -w + 2*w + h. Suppose -2*s + w = 3*s. Find the second derivative of 2*j + j - s*j + j**3 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14673 times 346.4\nAnswer: 50.827272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 246 - 364. Let w be 160\/24 - 6 - (-1749)\/9. Let t = k + w. Calculate the remainder when t is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -751282898 > -751282896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -87 (b) 2 (c) 5 (d) -2\/31 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 0 - (-4 - -4). What is the smallest value in g, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -20*h - 24. Let s be b(-5). What is the highest common divisor of s and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/8 + 1983255*b\/2 + 3933300395025\/2.\nAnswer: (b + 3966510)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46 + -c445?\nAnswer: -c48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41855 and 49.09326.\nAnswer: -41805.90674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0196 times -0.5?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 8*w - 4*d - 11 = 0, -9*d - 71 = 5*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -225, -436, -743, -1140, -1621?\n\"Answer: l**3 - 54*l**2 - 56*l - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 416\/(-260)*(944375 - 0). Round b to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/8 (b) 3706 (c) -2\/7 (d) -3 (e) 5 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4398900?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlj when three letters picked without replacement from {l: 4, h: 1, j: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*w - 32, 2*a - 112 = 4*w - 138 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -178, 3\/4, 0.11, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 1557?\nAnswer: 7785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 8, m: 4}. Give prob of sequence mm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*s - 165 = -191*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 26*b**2 - 3*b + 1. Let a be i(2). Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-5))\/(8\/40). Suppose 5*c - a*z = z + 60, 4*c + 4*z = 64. Solve -s + 4 = -3*h, c = -h - 2*h - s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Let w(f) = 2*f**2 + 2. Let n be w(-3). Suppose -5*y + o*r = -2 + 22, 5*r = 4*y + n. Solve g = -y*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1.6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 44 + 16 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18d (base 14) in base 10?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4819\/17217 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3324025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 145614 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*z - 296*j + 268*j, 0 = -4*z + 3*j + 24 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 - (-16 + 21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201390978 is divided by 1780.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (285\/(-171))\/((-6)\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 26*b**2 + 14*b**2 + 0*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0.0618, -2, -5 in increasing order.\nAnswer: -5, -2, -0.03, 0.0618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -13*45\/(-135)*(-3)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3739452 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9364 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2246\/562 - (0 - -4). Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 4 + 4)*((1 - 5 + 2)*(-3*m + 2*m + 3*m) + 167 - 167 + 8*m - 2*m + 0*m + 4*m + (-2 + 2*m + 2)*(-1 + 1 + 1)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 72 = 12*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 2. Let d(i) = -3*i + 15. Let p be d(6). Let f be 6\/(-9)*3\/2 - p. Calculate b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 69 + -24 - (10 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**3 - 9240*v**2 - 100735*v + 551100 = 0.\nAnswer: -1837, -15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 96, 227, 412, 651, 944?\n\"Answer: 27*r**2 - 4*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 6. Suppose -6*t - 22 = 20. Let y = t - a. Solve -2*q - y + 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 + 6 = 0. Let f(v) = v**2 - 53*v + 428. Let l be f(43). Sort h, -5, l, -1 in decreasing order.\nAnswer: h, -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvivvvviiutvvu. What is prob of picking 1 z and 1 v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 68*d**2 + 6 + 4 - 19*d**2 to a + u*d**2 + m*d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.685 + -0.543. Let u = k + -0.142. Sort u, -3\/2, -3\/5, 1\/3.\nAnswer: -3\/2, -3\/5, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -44. Suppose p = -a, f + 3*a - 17 = -4*f. Solve 10 = f*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1371, -2825, -4279, -5733?\n\"Answer: -1454*m + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -1\/840*h**7 - 1\/160*h**6 + 0*h + 1\/12*h**3 + 1\/32*h**4 - 1\/240*h**5 - 101*h**2 + 0. Factor f(z).\nAnswer: -(z - 1)*(z + 1)**2*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 378003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lldqqlqqqlqdqll. Give prob of picking 1 l and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (3 + 5 + -1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3742.865 greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -d + 4*d. Suppose -3*n + 5*o + 17 = d, -3*n + 67 = -0*n + 5*o. Calculate the greatest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554067 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 8*d - 9. Is p(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-18))\/(3\/54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 3*z**5\/40 - 35*z**4\/4 - 152*z**3 - 936*z**2 + z + 1416. Factor p(a).\nAnswer: 3*(a - 78)*(a + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -97*b + 10. Let w(k) = 391*k - 39. What is 9*j(s) + 2*w(s)?\nAnswer: -91*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119613*n**2 - 2*n**3 - 119613*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 101*r - 247*r - 3*r**2 + 0*r**2 + 98*r = 0. What is r?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(1\/4)*v))**46*v*v**6*v**(-2\/9)*v)**(-1\/2) assuming v is positive.\nAnswer: v**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122*w**2 + 51*w + 87114 wrt w?\nAnswer: -244*w + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -113 + 23. Calculate the remainder when 209 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (20 + -20 - (10 + -9 + 5 + -10))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 418*k**2 - 302*k - 1820. Is l(-6) a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 1825554. Let s = t + -434341. Let w = s + -257177. What is w rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 0*d + 2*d - 123 = 45*n + 92*n + 151, -46 = 8*n - 5*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and -12\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.1067 and 167.5.\nAnswer: 1190.37225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**3 - 17*i**2 - 4*i - 13. Let n(x) = 5*x**3 - 8*x**2 - 2*x - 6. Calculate 13*n(l) - 6*t(l).\nAnswer: 5*l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*b**4 - 8 - 19*b**4 - b**2 - 26*b**4 - 10 in the form q + m*b**2 + c*b**3 + o*b**4 + h*b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from {m: 8, c: 1, k: 6, s: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orn when three letters picked without replacement from {n: 2, o: 1, r: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*t - 87 - 32, 123 = -2*t - 3*q. Let v = -30 - t. Does 3 divide 378\/v + 8\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0.1 (c) -1 (d) 6 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/20 + 4*j**2 + 19*j + 1. Let n(q) = 21*q**2 + 32*q. Determine n(b(x)).\nAnswer: 189*x**4 + 96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 9) to base 2\nAnswer: -1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067758 is divided by 343?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14399 - -1526297\/106. Are z and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 642*i**2. Let p(h) = 2*h**2. Calculate p(q(d)).\nAnswer: 824328*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let o(f) = 10 - 3*f + 6 - 36 + 20. What is -o(m) - 5*y(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 32127+95871794\nAnswer: 95903921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 186*q**2 - q. Let t(u) = 4*u - 32. What is t(a(s))?\nAnswer: 744*s**2 - 4*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -40*p - 193. What is b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14, -0.3, -0.1, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66441678, 132883344, 199325000, 265766640, 332208258, 398649848, 465091404?\nAnswer: 531532920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 21. Let c be (-4166)\/(-6) - 12\/9. Suppose -2*d = d - c. Calculate the highest common factor of s and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/4 - r**3\/3 + r - 5. Let c be q(-2). Let x = -2.31 + 2.36. What is the third biggest value in 0.2, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.776 - 0.373. Let p = -16.403 + q. Which is bigger: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-362879.\nAnswer: 36287.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -170914?\nAnswer: 2905538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 + 4916 = -271*m - 131*m - 2802 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-3 - -2) + -307)*3\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, y: 1, t: 1, u: 1}. Give prob of sequence tb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6104373?\nAnswer: 3, 11, 113, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d - 10 = 3*b, -b = 3*d - 14. Suppose -392 = -4*q + d*c - c, -c = -4*q + 392. Suppose -67 = -3*v + q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 19*k**2 - k - 8. Let q be s(-19). Let l be (1*(q - 2))\/((-3)\/(-81)). Is (-2 + l\/(-4))\/((-1)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, m: 2, p: 3, d: 3, j: 6}. What is prob of sequence pjp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/120 - 7*t**5\/60 + 5*t**4\/12 - t**3\/2 - 21*t**2\/2 - 19*t. Let q(f) be the first derivative of s(f). Give q(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 1 (c) 0 (d) -0.1 (e) 8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -29 + 25 - (10 + -1) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 1\/6*v**3 + 0 + 0*v**2 - 2*v. What is the units digit of p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1960\/(-1)*(2 - (4 + 48)). What is j rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100 + 1012222?\nAnswer: 1101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 0*d**4 + d**2 + 4 + d**4 - d**2 to q*d + y + f*d**3 + j*d**4 + r*d**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -20 + 2 + -10 - 18?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4836544, 3 in decreasing order.\nAnswer: 4836544, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2 + 5. Let n(k) = -25*k + 3 - 4*k**2 + 12*k + 13*k. What is 5*n(v) - 3*z(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/12 + 31\/84. Let v = 340 + -342.21. Let h = v + 0.21. What is the closest to h in q, 0.3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 7. Let w = -7 - -7. Suppose w*d = -d + y. Calculate the remainder when 43 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**3 + 3*k**2 - 2*k - 2. Let j be 6*((-32)\/12 - -3). Does 17 divide r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, h: 2, z: 2, p: 4}. Give prob of sequence hxzx.\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.582 and 0.4.\nAnswer: -1.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49a13 (base 12) in base 15?\nAnswer: 1e936","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 + 16*x**2 + 137*x - 509. Determine j(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**5 + y**4. Let m(l) = -2*l**3 + 122*l**4 + 2*l**3 - 12*l**5 + 15*l - 127*l**4. Let x(u) = -m(u) - 5*s(u). Find the second derivative of x(f) wrt f.\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 3246.\nAnswer: 55182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 129000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - b?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(500)*2 + sqrt(500) - sqrt(500) - sqrt(500))*1)\/sqrt(10))\/((sqrt(1800) + 1*sqrt(1800))\/sqrt(405)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 - 2*q**2 + q + 1. Calculate f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -15. Suppose 2*a + 20 = -5*f, f + a = -3 - x. Let j = f + 36. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -122\/3. Let q = -5.06 - -5. Let r = -0.94 + q. Which is the third smallest value? (a) g (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2181500 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -373, -558, -721, -856, -957, -1018, -1033?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4*sqrt(175)*-3)\/sqrt(5))\/(2*sqrt(5)*1 - sqrt(320)*-2))**2.\nAnswer: 700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 5 - 8 - 6 + 3*m as i + k*m and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -44. Let r = y - -45. Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.445?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4789 and 5130.\nAnswer: 5130.4789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118462 - -154344. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 128*g**3 + g**2\/2 - 32*g + 76. Is o(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1, 7, -5 in ascending order.\nAnswer: -5, -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3639, 7337, 11465, 16239, 21875, 28589, 36597, 46115?\nAnswer: 57359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, -15\/107, -2, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0*k**2 + 3\/2*k**3 + 1\/3*k**4 + 0 - 11*k. Find the second derivative of c(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 = 2*t, -4*t - t = 5*f - 70. Let q be t\/48 - 196\/(-6). Let s = q - 58. Do -25 and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoc when three letters picked without replacement from {c: 1, e: 2, h: 2, f: 1, z: 1, o: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 29 + -1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(-3*sqrt(11) + sqrt(11))*-6*5.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(209)\/sqrt(44) + sqrt(19) + -1 + sqrt(19) + -1 + sqrt(19))*2)**2 + (sqrt(171) - (sqrt(171)*-1*-4 + sqrt(171)))\/(sqrt(54)\/sqrt(6)*-5).\nAnswer: -1396*sqrt(19)\/5 + 4735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*3\/(-11). Let p be 594\/24 + -12 + -13. Which is the biggest value? (a) p (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*l*m**3 - 633423*l*m**2 - 123834963*l with respect to m.\nAnswer: -60*l*m**2 - 1266846*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 20*a**3 - 19*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 2*v - v)*(9418*v + 11814*v - 1471*v - 8869*v + 12228*v).\nAnswer: 23120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0 (c) 17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 871954859 to the nearest integer?\nAnswer: 29529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*h = 28470. Let q = -104465\/22 + h. Find the common denominator of q and 143\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48058 + -28018. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(102)\/(sqrt(96)*1) + -5 + 0 + sqrt(2448)*-1.\nAnswer: -47*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10470800 is divided by 523539.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v. Calculate j(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11618 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -8 - (-2 - -11)) + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 5*h + 9*h - 4*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010877 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*k**(-7))\/k))**(3\/46)*(k*k**8\/k)**(-2\/3))**(3\/11) assuming k is positive.\nAnswer: k**(-673\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/1332 and -151\/756?\nAnswer: 27972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-22 - -10)) + -10 + 1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 3*s - 6. Determine f(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85, 131, 179, 229, 281, 335, 391?\n\"Answer: j**2 + 43*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3443234*w + 13772897. Give g(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8140\/50)\/22 - 8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2529, -4998, -7289, -9402, -11337?\n\"Answer: 89*v**2 - 2736*v + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634.298 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f + 4*f**3 + 20*f**2 - 20*f**2 - 8. Let t = -2 - -14. Let p(b) = -10*b**3 + 18*b + 20. Let a(j) = t*u(j) + 5*p(j). Find c, given that a(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 8) + -10 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 83 = 15. Let n be (-3)\/4*(5 - u). Suppose 3*d = -3*m + 15, -3*d + 0 = 2*m - n. Solve -6 = -3*r + m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.52, 3\/7, -5, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2201508 days in weeks?\nAnswer: 0.3171644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1763 and 18327?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242910.\nAnswer: 2, 3, 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:32 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**9\/504 - o**6\/30 - o**4 + 14*o**2. Let t(d) be the second derivative of v(d). Find the second derivative of t(q) wrt q.\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 14 - -5 - (-1 - 3 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-27)\/(-30) - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20256242 and -0.5?\nAnswer: 20256242.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5282538*i**2*y**2 + i*y**2 - i*y + 468833*i wrt i?\nAnswer: 10565076*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Let g = 7.1 + 1.9. Let n = 8.9 - g. Which is the nearest to 1\/4? (a) n (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 1582*f**3 + 9438*f**2 + 14130*f.\nAnswer: 2*f*(f + 3)**2*(f + 785)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*l - 5*t, 2*l = 3*t + 4. Put l, 0, -1 in descending order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000066176328 rounded to seven dps?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let v(k) = 37*k - 476. Let r be v(13). Let q(z) be the third derivative of 0*z + 0*z**4 - 4*z**2 + 0 + 0*z**3 - 4\/15*z**r. Give u(q(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 46 + 8*m)*(-11*m - 5*m + 3*m)*(1 + 454*m - 3 - 453*m).\nAnswer: -104*m**3 + 208*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 6.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -h + 226, 11*h - 5*z - 689 = 8*h. Suppose -96 = -3*g + h. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 6*i**2 + 16*i + 7. Calculate p(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from aappduaajjp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 886*f**2 - 552*f - 6. Let n(i) = 4432*i**2 - 2758*i - 32. Let a(z) = 3*n(z) - 16*x(z). Find the second derivative of a(p) wrt p.\nAnswer: -1760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 818840610 and 1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 60. Let d be ((-18)\/g)\/(6\/(-15)). Find b such that b**3 - 4*b**2 + 5*b**2 + b**d + b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(90)\/(sqrt(45)\/sqrt(5)))\/(sqrt(162) - -1*sqrt(162)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90545364 divided by 6965028?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2486.96 - -2488. Which is the nearest to f? (a) -0.5 (b) -4\/5 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 105, 321, 737, 1419, 2433, 3845, 5721?\nAnswer: 8127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/12 - 51*s**2\/2 - 2601*s + 1432. Factor u(t).\nAnswer: -(t + 102)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1147410\/1425 - 2\/(-10)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - g = -12, -3*v - 2*g = -4*g + 2. Suppose 0 = 3*f + 5*p - 18, -v*f + 3*p - 8 = -f. Let w(x) = x + f + 1 + 4 - 3. Give w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/31 (b) -1\/5 (c) 0.8 (d) 0.04885\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/66*(-8)\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19545 or 0.8561?\nAnswer: 0.8561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31750 - 181*n - 31750)*(1 - 1 + 3*n) to the form f*n + x*n**2 + i and give x.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98571*g + 126288 with respect to g.\nAnswer: 98571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 4*a)*(-7*a - 25*a + 5*a)*(0 - 3 + 1).\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + w + 18. Determine a(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deqd when four letters picked without replacement from {d: 2, e: 3, q: 10}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - q - 2*q = 2, 3*q = -12. Suppose 2*s = -y + 5, t*y - 2 + 1 = -4*s. Let w(z) = -z**2 + 4*z - 4. What is w(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -26.2 (c) -0.5 (d) 2 (e) -6\/11 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by 212\nAnswer: 46\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/(-1) + 1. Let u be (-9 + -2 - (-657)\/39) + (-12)\/2. Let r = -106 - -109. Which is the nearest to u? (a) r (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -5, -1, -0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p - 20. Which is bigger: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7970*d - 63764. What is v(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 + 3*f**2 - f**2)*(0 + 0 + f) - f**3 - 2*f**2 - f**2 + 0*f**2 to i*f**3 + o*f + k + a*f**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 c when four letters picked without replacement from nncnnnnnnncn?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Let d = 52.1 + -52. Which is bigger: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -14 + 7 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 103284*x - 14177016.\nAnswer: -4*(x - 25683)*(x - 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -7 - 1\/(3\/14)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4650270544?\nAnswer: 2, 290641909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -214*g**3\/3 + 269*g**2\/2 + 2*g + 488. What is the second derivative of t(f) wrt f?\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**12\/(l\/(l**6\/l*l)))**26)**(-2\/97))**(-1\/52) assuming l is positive.\nAnswer: l**(17\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-6) - 2\/(-6). Suppose 4*b - 10 - t = 0. Suppose -40 = -m + b*i, -5*m + 2*i - 200 = -10*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*d + 297, 3*u + 263 - 1184 = 3*d. Is 39 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**2. Let k(q) = 53*q - 31. Let l(y) = 23*y - 16. Let f(i) = 3*k(i) - 7*l(i). Determine z(f(b)).\nAnswer: 40*b**2 - 760*b + 3610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13*t**2 + 16*t - 22 - 4*t**2 + 5*t**2 - t**3 + 25*t**2. Let i be m(14). Solve -36*d + 81*d - i*d**2 + 2*d**3 - 41*d = 0 for d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/21 and (-1)\/(-10) - ((-166)\/(-120) - -1)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i - 18. Let m(g) = -5*g - 4. Let x(v) = -12*v - 8. Let a(w) = -7*m(w) + 3*x(w). Let u(p) = -18*a(p) - 4*b(p). Let q(h) = 12*h. Calculate q(u(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7178386t?\nAnswer: 717.8386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:31 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(2 - -1 - (-45)\/(1395\/(-589))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = w + 12, 2*w + 12 - 33 = 5*l. What is the nearest to -1 in -3, l, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 11*x + 8. Give h(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(26\/7 + -4). Suppose 0 = 3*c - v - 2*v - 57, 3*c + 3*v = 63. Let r = y + c. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*d = 14, 5*d + 22 + 3 = 0. Let h(i) = -i + 3. Let n(c) = -2*c + 3. Let l(b) = -7*h(b) + 6*n(b). What is the remainder when l(a) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47859777409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -21, -56, -105?\n\"Answer: -7*b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**31)**(-9\/4)\/(((r*r\/r**(-1\/2))\/r)\/r**(-3\/7))**(-31\/3) assuming r is positive.\nAnswer: r**(279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - 127)*(-2 - (-10)\/6) - 6?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 10*i**2 + 32*i + 205. Let k be j(-7). Calculate the highest common divisor of 89 and k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.214 + 0.114. What is the closest to -4 in q, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7 - 14 + 23*u + 28 wrt u?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4, 309, 547 in descending order.\nAnswer: 547, 309, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -275, -295, -303, -293?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4 - 47476*b**2 - 172*b + 514 wrt b.\nAnswer: -12*b**2 - 94952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*j - 4*f, 2*j = j - 5*f + 19. Let z be (2 - 3)\/(2\/(-34)). Let x = j + z. Let l(k) = k + 2. Let u(c) = -3*c - 6. Give x*l(h) + 4*u(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*x + 12 = 13, g + 4*x = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -544 - -557.65. Let r = d - 13. Let w = r + -0.650058. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111100010 - -11?\nAnswer: 1000111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56\/3? (a) -11 (b) -100 (c) 0.026 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*o**3 + 1389774*o**2 - 33098323*o.\nAnswer: 36*o + 2779548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -701 + 736. Calculate the lowest common multiple of (-4)\/(-2*1) + 7 and c.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f + 44*f + 1059 = -3972 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = u - 44. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94500000 = 15*q - 22*q. Suppose -15*m = -12*m - q. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 511 + -70. Let x = c - 398. Calculate the remainder when 46 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 7:55 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {q: 2, g: 1, y: 1, o: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 78*u + 4. Let b(h) = 2*h + 1. Determine 6*b(p) - 2*s(p).\nAnswer: -144*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x*x**7*x*x**(2\/3)\/x*x**(-8)\/(x*x\/(x*x**6*x*x)*x) assuming x is positive.\nAnswer: x**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aov when three letters picked without replacement from hohvoovvovhaooahaooo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/195 and -47\/2535.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/10 - -7*9\/(-315). Suppose 0 = 4*s - t*p - 710, 183 = s - 4*p + 6*p. What are the prime factors of s?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 564261?\nAnswer: 564264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-8)\/b)\/b)\/b)\/(b*b*b**(-3\/11)))\/(b*b**(-1\/3)*b*b**5*b) assuming b is positive.\nAnswer: b**(-673\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.7. Let l = -28 + -3. Let z = 30 + l. What is the closest to b in 3\/4, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 11*o = 252. Let p be 10\/(-2)*o\/9. Let c(t) = -t**2 + 23*t + 21*t - p*t. Determine c(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2955 - -2960. What is the greatest common divisor of t and 990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17475 is divided by 1913.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10398427630 rounded to the nearest one hundred thousand?\nAnswer: 10398400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v**3\/3 - 4*v**2\/3 + 3718*v\/3 + 676\/3 = 0.\nAnswer: -13, -2\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 2 + 16 = -2*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48*(-6)\/27 + 9. Sort 1\/5, 0, -4, t in increasing order.\nAnswer: -4, t, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 3*s**2 - 4*s**2 + (-2 + 2*s + 2)*(-6*s + 2*s + 2*s) + 2*s**2 - s**2 - 2*s**2)*(23 - 23 + 3*s**3) + 2*s**5 - 2*s**5 + 2*s**5.\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 3*u**2 + 3*u - 1. Suppose 2*w = -l - l + 6, -4*w = l. What is z(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66*(-8)\/144)\/1.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6893*u**2. Let g(j) = -6*j**2. Give g(a(x)).\nAnswer: -285080694*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -981318365163?\nAnswer: 981318365162.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j + 4*n, -25 = -n - 4*n. Solve j*o = 37 - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u)\/(u*u*u*u*u*u\/u**(5\/2)*u*u*u) assuming u is positive.\nAnswer: u**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027990985 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - o + 12. Is r(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*p + 6 = 0. Solve -b - 3 - p = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 7*u**2 + 14*u + 2. Let m be j(-9). Let n = m + 46. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12838190?\nAnswer: 2, 5, 53, 24223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - 23.5. Let f = k + 19.13. Let z = -0.23 + f. What is the closest to z in -2, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 99, 85, 67, 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 13\/6 (b) 3 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-3)\/1*(-37)\/259*(-308)\/44?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30193087*o**2*u**2 - o**2*u - 1119*o*u + 1208*u wrt u.\nAnswer: -60386174*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 0, 4, -7531, 33 in decreasing order.\nAnswer: 33, 4, 0, -5, -7, -7531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -335? (a) -1\/5 (b) 0.3 (c) -1\/2 (d) -11 (e) 2 (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295096 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (1 - -1) + -4379 + 4342\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r + 4. Let j(a) = -4 + 35*a - 1 + 10*a**2 - 30. Let u = -1187 + 1152. What is u*f(q) - 4*j(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4 - 3*t**3 - 18*t**2 + 12*t + 24 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**0)\/(a\/(a**(-6\/11)\/a*a)*a))\/(a*a**(-3)*a)**(2\/9) assuming a is positive.\nAnswer: a**(-32\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 208513 - 48241.\nAnswer: 160272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 385538677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0.25 (c) 35 (d) -0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 3. Let j(s) = s - 1. Let g(r) = 8*j(r) - 3*w(r). Let p(a) = 9*a - 11. Let b(h) = 2*h - 2. Let t(n) = 3*b(n) - p(n). What is -4*g(y) + t(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6086, -6088, -6088, -6086, -6082, -6076?\nAnswer: -6068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*t + 45, -1 = 3*t - 10*i + 11*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (358 + 506 - 343 + 457)*(h + 0*h - 2*h - 1 - 2*h + 1 + (-h + 2 - 2)*(-1 + 0 + 2) - h + 0*h - 11*h) as s*h + n and give s.\nAnswer: -15648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 24\/13 (c) -0.04 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14\/17 - 23\/34. Which is the third biggest value? (a) -0.2 (b) h (c) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -132 in -0.2, 1.04, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 744, 3, 706, -3, 2, -7 in descending order.\nAnswer: 744, 706, 3, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Let y = l - 1.9. Is y < 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -108, -58, 24, 138, 284, 462, 672?\n\"Answer: 16*y**2 + 2*y - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150628749 to the nearest integer?\nAnswer: 12273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 308 - 1?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 3\/23 (c) -1.48 (d) -4 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7214 + 7169 = 5*b, a - 2*b + 12 = 3 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 21809628?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6070, 5729, 5374, 4999, 4598?\nAnswer: 4165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/1)\/4)\/((-106)\/(-53)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 12. Let h(j) = 3*j**2 + 30*j + 73. Let p be h(-5). Let t(w) = -3*w + 11. What is p*g(r) - 3*t(r)?\nAnswer: r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -20*v**3. Let z(p) = 7*p**3. Let u(t) = t - 16. Let o be u(12). Let w = -14 + o. Let j be ((-6)\/w)\/((-2)\/(-36)). Determine j*b(a) + 17*z(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 3*z + 2*z + 10, 3*v + 3*z = 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 10*z. Let u(v) = 13*v. Give u(r(n)).\nAnswer: -39*n**2 + 130*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q. Let a(o) = -641*o**2. What is l(a(s))?\nAnswer: -2564*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxx when three letters picked without replacement from {l: 4, q: 5, x: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -145*a**2 + 9200*a - 4128. Determine i(63).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 3*i - 7. Let n be m(-5). Let b be (-4)\/n*-15 - 1. Let f = -5 + b. Calculate the greatest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/336 and -145\/5796.\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28599618.\nAnswer: 2, 3, 281, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + (-7 - (-9 + 7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 23 + 5 + -26 + 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 69, 80, 95, 114, 137, 164?\n\"Answer: 2*k**2 + k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-2 + 6)) + (132 - 71)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/4 (c) 1.2 (d) -637.74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 4) to base 6.\nAnswer: 10124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 598\/3? (a) -1 (b) 1 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13995267 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - -105?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 + -1631\/9. Which is the second smallest value? (a) m (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -2 in descending order.\nAnswer: 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(-3\/8)*j)**(-39)*((j**(-1\/12)*j*j)\/j)\/(j\/j**(-2)))**(-7) assuming j is positive.\nAnswer: j**(24101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 28144?\nAnswer: -17\/28144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1010685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 - 63*a - 41*a + 33*a + a**3.\nAnswer: -18*a**3 - 71*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 16 = 0. Solve 2*x - g = -0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 2*s + 7. What is the units digit of m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 720 divide 4777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38188.\nAnswer: 2, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {d: 2, g: 1, b: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3897434*p**4 + 17*p**2 - 143664*p + 360.\nAnswer: -46769208*p**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -494, -987, -1456, -1889, -2274, -2599, -2852, -3021?\n\"Answer: 2*o**3 - 507*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 t when four letters picked without replacement from mmffttmmtm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180490 and 10.\nAnswer: 180490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 53 = -4*q, 146*q + 5*u = 144*q + 11 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -11 + 6 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-462)\/(-152) - 3). Let u = y - -124. Calculate the highest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*a = 570*a - 328 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1360 divided by -34.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837295636 to the power of 1\/3, to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67387571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 211090405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(114))\/sqrt(6) - sqrt(19)).\nAnswer: -3*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56660638 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 5*p - 2*p + (-p + 2*p + 0*p)*(66 - 60 + 29).\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 281*y**8\/336 + y**7\/105 + y**4\/8 - 23*y**3\/3 - 232*y**2. Find the second derivative of p(q) wrt q.\nAnswer: 5620*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/8)\/(2\/(-8)). Suppose y - f = p - 0, -5*y = f + 19. Let l = -3 - y. Solve 20 = -l*h - 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 683*u - 71*u**3 - 2 + 2*u**2 - 683*u in the form r*u**3 + f + z*u**2 + k*u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20916064.\nAnswer: 2, 13, 137, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159357 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.4733801 milliseconds to weeks.\nAnswer: 0.00000007684090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104565 or -836523\/8?\nAnswer: -836523\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 85 = 23*i - 83. Let j(s) be the first derivative of -13\/2*s**2 - 4*s**i + 0*s - 2. Find the second derivative of j(g) wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*u - 40*u - 230. Suppose u - 31 = p. Solve -p = -7*m + 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 0) + 8 + -10. Suppose -12 = -2*a + b. Suppose a*j + 18 = 8*j. What is the greatest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z - 66. Let g be d(-7). Suppose -5*b = g*w - 25 - 27, 0 = -4*b - 4*w + 40. Let k be (-3 - -6)\/(6\/26). Is k at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -33*m - 205. Let p(t) = -40*t - 208. Give 6*n(b) - 5*p(b).\nAnswer: 2*b - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2689 - -2644. Let u(n) = -45*n**3 + 2*n - 1. Let w be u(1). Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 7) to base 6\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12)*12 - (540\/110 + -1). Let r = 11 + -8. Put g, r, 2, -2\/13 in ascending order.\nAnswer: g, -2\/13, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 12*i**2 + 35*i + 1. Let k be d(-5). Put 0, 8, 3, k in descending order.\nAnswer: 8, 3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001148808 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209\/20, -3\/4, 506.\nAnswer: -3\/4, 209\/20, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7332.755cm to nanometers.\nAnswer: 73327550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10374.2 rounded to the nearest 100?\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-25))\/((3\/10*280\/210)\/(-2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 3*f**2 + 0*f**2)*(-2*f + 0*f - f) + (3*f + 0*f - 4*f)*(-2*f**2 + 0*f**2 - f**2).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846162 = 157*w - 818038. Is w a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -269*h - 3. Let f be l(-3). Let i be (0 + 2)*f\/24. Suppose -3*q - 4*n + i = -170, 79 = q - 5*n. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 17\/2*l**2 - 47 + l**3 - 128*l. What is the first derivative of t(w) wrt w?\nAnswer: 6*w + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 3 + -5)\/3. Let k be 2*(-1 + (3 - s)). What is the units digit of k\/(-6)*(-63)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57207.\nAnswer: 3, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**6)\/(x\/x**(2\/5)))**(-50)\/((x\/x**0)**(-1\/15)*x**0*x**4) assuming x is positive.\nAnswer: x**(4141\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 0.79, 0.1, 9 in decreasing order.\nAnswer: 9, 4, 0.79, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 17. Let k be z(-12). Let w be 8\/(-3)*12\/(-8). Suppose w*q - 12 = q. Solve -q*h - 9 - k = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - k**2 - 9*k + 9. Let w(m) = -2*m - 3. Let r be w(-3). Let l be q(r). Put 2, 6, -4, l in increasing order.\nAnswer: -4, l, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5936 and -125\/1232.\nAnswer: 65296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**2 + 312339478*b - 104113160 = 0. What is b?\nAnswer: -52056580, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 124 - 146 = -5*z, 4*g = 3*z - 22. Put z, 113, 3, 5 in ascending order.\nAnswer: z, 3, 5, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*6*(0 - (-27)\/24). Let r = v - -14. What is the units digit of 15\/((-585)\/6) + (-1211)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + y**2 - 9*y**2 - 2*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52 + 16?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 294651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1668 and 79\/12.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-3178)\/6) + (-2)\/(-6). Suppose c - m = -292. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*s - 20 = -84*s. What is the units digit of (-4 - -34)\/(s\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 - 181.78. Let u = -0.22 + f. Let j = 2 + -3. Which is the closest to j? (a) -2 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -14, 4, -1, 6191 in descending order.\nAnswer: 6191, 4, 0, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nta when three letters picked without replacement from {n: 6, a: 6, s: 3, t: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -47 + 47 - 2\/1. Let r = 1 + 3. Let d be 5\/(-10) + 2\/r - b. Let n(x) = 7*x**2 - 3*x + 2. What is n(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-1))\/(0 - 2). What is the highest common divisor of 24 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*l = 0. Suppose -h - 2*h + 18 = l. Let x(k) = -k**3 + 6*k**2 - k + 7. Let f be x(h). Solve -q + f + 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.83 - 0.83. What is the nearest to -3 in -1\/3, 0.04, -1\/5, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3712113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, -101, -5, -8, 0, 3.\nAnswer: -226, -101, -8, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 603335 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 232815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-80)*(-64)\/(-24))\/((-20)\/(-660))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 31, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**3\/6 + 11*h**2\/2 + 789*h. Give o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.102 - 0.198. Put -0.2, g, 47 in increasing order.\nAnswer: g, -0.2, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5126 divided by -1.\nAnswer: 5126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126000 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 143, -4, -16, 0, 3, -10 in decreasing order.\nAnswer: 143, 4, 3, 0, -4, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136693, -136646, -136567, -136456, -136313?\nAnswer: -136138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 147647, 295541, 443435, 591329?\n\"Answer: 147894*a - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191479?\nAnswer: 43, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 2101*l**5\/10 - 5635*l**4\/12 - 2344*l. What is the third derivative of o(r) wrt r?\nAnswer: 25212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 17*l**3 + 13*l + 36*l**3 - 13*l - 8*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37497.\nAnswer: 3, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3, 1\/6, -0.11, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = -2247 + 14727. Calculate the remainder when m is divided by 197.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m\/(m*(m**(1\/3)\/m)\/m))\/m))\/m**(-3))**(1\/20))**3 assuming m is positive.\nAnswer: sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29921, 59519, 89117, 118715?\n\"Answer: 29598*z + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 108 = 4*j + 4, 0 = -0*j + 3*j - 4*f - 102 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -53682570 to the nearest 10000.\nAnswer: -53680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.015071387 and -0.00828?\nAnswer: 0.006791387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79129381.2 rounded to the nearest 10000?\nAnswer: 79130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/36)\/(42\/(-18) - -3). Let s = f - -217\/24. Let v = 2\/4771 + 109691\/100191. Calculate the common denominator of s and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - ((-4 - -2) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -46*r - 2. Let x(b) = -44*b - 2. Calculate -2*w(f) + 3*x(f).\nAnswer: -40*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, -3, 1590.\nAnswer: -3, 270, 1590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 636\/(-9570)*(-4065)\/(-12). Let h = a + 4\/319. Calculate the common denominator of h and 53\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 3. Suppose 0 = -5*k + 6*k. Let f be p(k). Let m be f + (-12)\/4 - -3. Solve 4*y = -3*j + 23, -4*j + 0*y + 26 = m*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/55 - (-26)\/(-5). Let r(s) = -2*s**2 + 9*s - 6. Let o(p) = p**2 - p. Let g(z) = -3*o(z) - r(z). What are the prime factors of g(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**(-21\/2)\/((z**2*z*z*z)\/(z\/(z*(z*(z*(z*z**(1\/8))\/z)\/z)\/z*z))) assuming z is positive.\nAnswer: z**(-301\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8280 divided by 10.\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-22)\/3) - 315\/(-36) - 6?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -25, 44*w - 43*w + 13 = 3*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/(((-51)\/(-54))\/(-17)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + z + 15 = 13, -5 = -5*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -227, -403, -621, -881, -1183, -1527?\nAnswer: -1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12*24\/(-40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 13 = 9*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 56355?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3153181 is divided by 893.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11442 is divided by 1798.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2. Let f(d) = -5*d**2 + 2. What is f(g(l))?\nAnswer: -125*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 - 2*g**2 - g - 2 + g**4 + 2*g**4 to the form p*g + o*g**3 + z*g**2 + y + d*g**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384792 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = -8. Let w(g) = g**3 + 9*g**2 + 7*g - 2. Let z be w(-8). Let n = z - h. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -508 equal to -146878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/3 + 6*l. Let r(s) = 2*s**2. Give i(r(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114782997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.622*0.2.\nAnswer: -0.5244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*q - 316*q = 5*r - 65, -2*q + 28 = r. Solve 4*c - 3 = -q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 + 3503788*b**2 - 3503788*b**2.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(114)*-1)\/(6*(sqrt(240)\/sqrt(4))\/sqrt(10)).\nAnswer: -8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(288)*1 + -1 + (1 + sqrt(288))*-2))**2*1.\nAnswer: 1536*sqrt(2) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = v + 4*t, 3*t + 0*t = 4*v - 98. Suppose v*o = 31 - 8. Let n = -1 - -3. Solve -n*k = 1 + o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/166? (a) 50 (b) -2 (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16\/4*(-6)\/36\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 1760.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -7*j - 11. Let n(b) = 4 - 4 + 8 - 4*b. Calculate the remainder when n(-11) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, p: 4}. What is prob of sequence npn?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -0.4 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -946 + 4?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 4.9.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*7\/28)\/((-6)\/(24\/20)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweewwwwwwweewwebw. Give prob of picking 2 w and 1 b.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 11 + 13. Suppose 3*w - 5*w = -k. Solve 15 = -f - 4*m, 16 = -0*m - w*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18074 is divided by 138.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/3 (c) -3.0679\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 1192*g**2 + 1420864*g + 1693669888\/3.\nAnswer: (g + 1192)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -763*f + 52644. Determine g(69).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) - (-11)\/3. Suppose 0 = 8*u + 56*u - 331 + 75. What is the remainder when j\/(-15) + (-56)\/(-5) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 0*g + 2*g + (-2 + 3 + 1)*(-3 + g + 3) + 23 - 23 - 5*g + (0 - 3 + 4)*(-13 + 28 - 24)*(0*g + 2*g - g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9254, 23567, 37886, 52211?\n\"Answer: 3*x**2 + 14304*x - 5053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*n + 3*n - 385, 5*n = 0. Let o = 418 + t. Which is bigger: o or 32?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Solve 4*m + 2 = a*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 566*p - 26049. Let o be i(109). Find m such that 0*m + 1\/4*m**o - 9\/4 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/27)*s)**(2\/105)\/(s\/s**(-6\/13))**(-11) assuming s is positive.\nAnswer: s**(118633\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 - 85218252*a + 1210358412322584.\nAnswer: 3*(a - 28406084)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 445637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - -4) - 0 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.07, -0.5, 3, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:19 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -18*j + 20. Let w be x(1). Let d = -3 - -17. Suppose 1 + d = 5*q - 5*h, -4*q - 15 = 5*h. Sort w, -5, q in ascending order.\nAnswer: -5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1 - 3 - 1. Let i(r) = r + 1. Let v = 509 + -508. Calculate v*w(m) + 4*i(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*o**2 - 28*o**2 - 23*o**2 to the form d*o**2 + y + i*o and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**4 + 2*r**4 + 2*r**4)*(1 + 2 + 0) - 4*r**4 + 6*r**4 - r**4 + 3*r**4 - 6*r**4 + 8*r**4.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(52)\/((sqrt(2)*-2 - sqrt(2)) + sqrt(2)) - -2*sqrt(78)\/sqrt(3))\/((sqrt(2) + 2*sqrt(2) - sqrt(2))*-3 + -1*sqrt(6)\/sqrt(3)).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**2 + 25*c**2 + 20*c**2 + 15*c**2 - 22*c**2 + 2*c.\nAnswer: 58*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28873 + 74828. Is m a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(6655) - sqrt(6655)))\/(-6*-3*sqrt(11)*1).\nAnswer: -11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8414.7 - 8415. What is the nearest to 1\/3 in f, -9, -0.4, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**7\/7560 + w**6\/432 - w**4\/4 - 26*w. Let f(h) be the third derivative of a(h). Find d, given that f(d) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 3*p**3 + 3*p**3 + p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 77*p + 0*p**5 + 0 + 0*p**4 + 0*p**2 + 101\/6*p**3 - 3\/2*p**6. Find the second derivative of v(s) wrt s.\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000227903928 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20134, 40257, 60380, 80503, 100626?\nAnswer: 120749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 2*y**2 - 214*y**4 - 2*y + 217*y**4 + y**3 as i + m*y**4 + u*y**3 + g*y + s*y**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let q(o) = 3484*o. Calculate q(v(t)).\nAnswer: -6968*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2054*w + 2238*w = -920 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 + s - 2. Let l be r(6). Suppose 0*v = l*v - 20. Find the third derivative of 2*z**2 + 9*z**5 - 3*z**v - 5*z**5 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19680 divided by -6.\nAnswer: -3280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 11:51 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 24327534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 9, 4, -0.073, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:03 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 5*g - 3. Let c be h(-12). Calculate the greatest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0\/4)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966944 divided by -20489?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 4. Let l = -62 + 56. Let v(p) = -10. Let r(g) = -28. Let t(q) = l*r(q) + 17*v(q). Calculate 2*s(f) - 3*t(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/16 and 61\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -15 (c) -2\/17 (d) 0.5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3*o*p - 36*c**3*p - 2*c**2*p - 3*o*p wrt c.\nAnswer: 18*o*p - 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7*y + 40 = -y. Solve j - 9 = 5*r, y*j + 3 = r - 0*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 805190145 to the nearest integer?\nAnswer: 28376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 7019 = 2620 - 45569. List the prime factors of x.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -76. Which is the third biggest value? (a) -1 (b) -1\/4 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/25 - 2\/(-5). Let p be 0\/(-3 - o) - 8. Let f = 3 + p. Sort f, 4, 0.\nAnswer: f, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2123541 and 666.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2. Let w(g) = 2*g - 336. Calculate q(w(v)).\nAnswer: 24*v**2 - 8064*v + 677376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/20)*37\/(-36630)*55.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*c**5 + 0 - 2*c**2 + 0*c + 0*c**3 + 3\/2*c**4.\nAnswer: -c**2*(c - 2)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.553 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/6 (c) -1\/8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -14*y + 96. Calculate the greatest common factor of 95 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -10332113?\nAnswer: 10332122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 10:30 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = -3. Find the common denominator of -7\/10 and 29\/3*(-1 + w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = -13*n + 203. Suppose -5*v + 3 = -12. Let w = n - v. What is the greatest common divisor of 10 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.044 + -7.256. Let p = t - -7.300228. Round p to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 142\nAnswer: 5\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152042\/19 + 8002. Let r(a) = -a**2 - 6*a + 6. Suppose -12 = 3*g + 9. Let o be r(g). Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169438373309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 309*y + 305*y + 6, -y + 11 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -12)*990\/(-27) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220 - 160 - 99)*(2 - 3 + 2)*(-2*h**5 + 2*h**4 - 4*h**4 + 0*h**4).\nAnswer: 958*h**5 + 958*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(60)\/sqrt(3))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203\/4 + 17279\/340. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-10)\/(-3)*2\/(-8)*(-440)\/(-20).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 116202 divided by -58101\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y**3 + 1\/75*y**5 - 1\/300*y**6 + 0*y - 1\/60*y**4 + 0 - y**2. Factor h(n).\nAnswer: -2*n*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*y - 29 = 0, -3*z + 3*y + 9 = 60. Let b = -17 - z. Find the third derivative of -15 + n**2 + 3*n**b + 15 wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/4 + 819*g\/4 + 411\/2 = 0. Calculate g.\nAnswer: -1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let h = 2 - c. Let m be 16\/3 + h\/(-9). Solve -45 = -4*d + m*k, -4*k - 13 = -3*d + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6517770 by -105.\nAnswer: 62074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (1500\/125)\/(8\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 2. Is 6 a factor of u(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14125\/6? (a) 0.3 (b) -0.4 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -11100?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*((sqrt(234) - 2*sqrt(234))\/sqrt(6))\/(-1*sqrt(243) - sqrt(3))*4 + -4)**2.\nAnswer: -48*sqrt(13)\/5 + 943\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 11*j**2 - j + 13. Let a be c(11). Suppose 3*r + a*s - 19 = 0, -s - 2 = -1. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(1*(-28)\/(-8)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*t = -18, -62*o = -65*o + t + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 8. Let r(q) = -2 - 1 - 2*q + 0*q. Let g(m) = 2*m + 4. What is f*g(j) + 6*r(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27859751 is divided by 95410?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95*55\/12540 + 2\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 8*s**2 - 8*s - 3. Determine w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 10*i + 7. Let z be m(5). Suppose 6*u + 2 = z*u. What is the first derivative of 5*b**4 - 3*b**u + 9 - 2 + 3*b**2 wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(6*(sqrt(11) + sqrt(11)*1 - sqrt(11))))\/(-5*-1*sqrt(10)*3)*2)**2.\nAnswer: 2\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499\/2 > 250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/12 - 17*c**3\/6 - 2*c**2. Let g be b(26). Let a = g + 50. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39381 and 203?\nAnswer: -7994343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1\/69, 4, -2, 5, -2\/85 in descending order.\nAnswer: 5, 4, 2\/15, -1\/69, -2\/85, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r + 8. Let f be z(2). Let d be 28\/f*(-1 - 1). What is the smallest value in -1\/3, d, -5\/3, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 0 + 2)*(3*s + 18 - 18) + (3 + 1 - 2)*(0 + 2*s + 0) + 1 + s - 1)*(6*s + 0*s - 2*s)*(3*s + 3*s - 4*s).\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -2.2. Let d = 0 + 5. Which is the nearest to -0.1? (a) o (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 3 + -14 - 2*-89. Suppose -5*z + o = -31. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 20.26. Let p = 0.04 + t. Let z = 2\/87 - 35\/261. Which is the nearest to 0.1? (a) z (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12022110 (base 4) to base 8\nAnswer: -61224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z\/(z**(1\/3)*z))\/z)\/z*z**(-6))\/((z*z**(2\/3)*z)\/z**(-3\/7)))\/((z**8*z**0*z)\/(z**(7\/3)\/(z**(1\/4)*z))) assuming z is positive.\nAnswer: z**(-1457\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 43*c**7\/1260 + 17*c**4\/4 - c**2\/2 + 4*c + 5. Let k(x) be the third derivative of h(x). Let j(o) = -o. Determine k(j(g)).\nAnswer: 86*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 0 - -2 - -1) + (5194 - 5195)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-14))\/((-2)\/4). Let o be ((-3)\/9)\/(c\/(-84)). Suppose 2*z + o = 7*z + 2*d, 4 = -4*d. Calculate the highest common factor of z and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 2 a when four letters picked without replacement from hhhhahmwahhhhhh?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -2\/69, -1, 2, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32224408 is divided by 370.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r**2. Let g(u) = -u**2 - 5*u + 5. Let t(l) = 2*l**2 + 8*l - 8. Let o(h) = 8*g(h) + 5*t(h). Determine o(b(a)).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r - 3. Calculate the remainder when z(-5) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41230207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -8 - 2. Let j be ((-60)\/50)\/(1*(-4)\/(-10)). Let t be (0 - -1)*(-1)\/4. What is the smallest value in t, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2508589409.\nAnswer: 31, 541, 149579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.116 and -857.\nAnswer: -856.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 38853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -690 - -693. What is the remainder when 193 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/20)\/((240\/12)\/10)*2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:16 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 + 9 = 0. Suppose -2*h = -3*h - j. Let a(l) = l**2 - 6. Is a(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38.6 in 174, 2\/93, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 111012212221?\nAnswer: -111012212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbxja. What is prob of picking 1 b, 1 j, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 16, 5, -28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 3 + 1)*(-9 + 9 - 5*w) - 5 - 1 + 7*w + 10)*(-1 - w + 1) as s*w + c*w**2 + i and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*r**4 - 2*r**3 + 2*r**3 + 56*r - 46*r wrt r?\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -10. Let h be ((-4)\/40)\/(u\/(-18)). What is the second smallest value in -2, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-9\/10)\/o)\/o)*(o**(5\/4)*o)\/o*o)\/(o**(-4\/5))**34 assuming o is positive.\nAnswer: o**(667\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**5\/10 + 7*o**4\/6 + 8*o**3\/3 + 5*o**2 + 14*o. Let p be f(8). Solve -p = m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 2*l, 4*i - 4*l + 2*l + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/463? (a) -28 (b) 0.5 (c) -9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/137 and (-2342)\/52 - (-1578)\/(-3419).\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31\/2, -13, 1, -1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70560, -564595, -1905564, -4516935, -8822176?\nAnswer: -15244755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446*h*s**5 + 2*h*s**4 + 108*h*s + s**3 + 3*s wrt s?\nAnswer: -8920*h*s**3 + 24*h*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 741, 1569, 2397, 3225, 4053, 4881?\n\"Answer: 828*t - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.125, 2\/15, -0.2, -560 in decreasing order.\nAnswer: 2\/15, -0.125, -0.2, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 2*x**3\/3 - 34*x. Let s(y) = -13*y**2. Calculate b(s(p)).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.4, -1.7.\nAnswer: -1.7, -0.4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 9*r**2 + r + 21. Let c be k(9). Let d = -9 + c. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**3 + 209*x**2 + 30*x + 3. Let r be m(30). Sort -45, r, -17 in increasing order.\nAnswer: -45, -17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 1\/8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.25, -2, -2\/7, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 12717258.\nAnswer: 1\/6358629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + r + 2*r, -6*d = -4*r + 34 - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j + 3*b - 27, -5*j + 3*b = -3. Suppose -j*s = -2*d + 5*d - 138, -20 = 4*d. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*i**3 + 3*b*i**2 - 311*b*i + 5*b - 121251*i**3 - i**2 - 10*i + 2 wrt i.\nAnswer: -6*b*i + 6*b - 727506*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 428+0\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10)\/(1\/5). Suppose -8 = -5*z + 3*d, -2*z + 5*d = -q*z + 24. Suppose -12 = -w + 5*w. Sort w, -1, z in ascending order.\nAnswer: w, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10115, -10077, -10007, -9899, -9747, -9545, -9287, -8967?\n\"Answer: v**3 + 10*v**2 + v - 10127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7413)\/706)\/(792\/(-64)*8\/(-6)).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/18 and 79\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3820*q - 17488 - 13072 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*f - x - 20, -x = 3 + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - 3*d**2 + d**2)*(-2 + 2*d + 2)*(-4 + 4 - 2)*(15 - 57 - 18) to c*d**2 + z + i*d + o*d**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*i**2 + 222*i\/5 - 8\/5.\nAnswer: 2*(i + 1)*(115*i - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + n = -36. Let g(i) = i**3 + 7*i**2 + 3*i + i - 7 + 2*i. Calculate g(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 17*n + 32. Let p be t(-10). Which is the nearest to -1\/4? (a) 0 (b) p (c) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -37*p**4\/4 - 20*p + 27. Differentiate w(x) wrt x.\nAnswer: -111*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 44*b - 7. Let l be a(-18). Let z = l + -220. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -7*r + 86. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.47 - 0.53. Which is the fourth biggest value? (a) -0.2 (b) -0.5 (c) 4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.03 (b) 4 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54870 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 221, 2\/151?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6410 and 19\/1282.\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2003*b + 3977*b - 1975*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 3. Suppose 2*q - 5 = -s. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9067, -7778, -6489, -5200?\nAnswer: -3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1525\/4 - 19737\/52. Calculate the common denominator of q and 30\/553.\nAnswer: 7189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 15. Let y be z(8). Let b be y\/5*(-10)\/(-3). Let u be b\/14 + 20\/35. Put -4, u, 0.2 in increasing order.\nAnswer: -4, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.044 - -0.744. Suppose 5*o + 8*f - 5 = 13*f, -2*f = 3*o - 18. Let m be (0 + o)\/(-30 - -4). Sort -2\/9, m, s in increasing order.\nAnswer: -2\/9, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12151411 (base 6) to base 2.\nAnswer: 1011110101100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -10)*-2*1. Suppose -3*w = 2*d - 31, -4*d + 8 = 3*w - 39. Let g(z) = d*z - 5 - 6 + 0*z**2 - z**2 + 5. Calculate g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 1645250*o**2 + 3290515*o + 1645260.\nAnswer: -5*(o - 329052)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + 6*p + 0*p)*(3*p - 2*p + 0*p) + (-3 - 1 + 6)*(4*p**2 - 2*p**2 - p**2) to h*p + z*p**2 + j and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 + 4*f + 8. Suppose 3*a + 24 - 3 = 4*y, 0 = -5*y + a + 29. Let z be m(y). What is the third smallest value in 9, 2\/3, z?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6549.579 millilitres in litres?\nAnswer: 6.549579","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1) - 0 - -2. Suppose 3*u - i - 1553 = 0, -5*u - i + 3902 - 1327 = j. Let b = u - 3636\/7. Find the common denominator of b and -77\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + (5 - 7) - (-19 - -25). Let f be 3*2 + (-3)\/(-9). Let h = 469\/75 - f. Do r and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 537 and 4?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -147. Let v = 19 + r. Solve 0 = 2*u + v*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, 2\/5, -1\/4 in decreasing order.\nAnswer: 2\/5, -1\/4, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.2 + -16. Let q = -109.1 + 102. Let u = x + q. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 times 0.0042661\nAnswer: 0.003199575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, -2.33, -2\/13, -0.2?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.33, 8\/12335, 2\/11?\nAnswer: 8\/12335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least 0.103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35529 by -13.\nAnswer: -2733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u + 4*g + 853 = 0, 0 = 3*u + 2*g - 865. Suppose -4*a + u = 3*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101027 (base 8) to base 2\nAnswer: -1000001000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23222301320 (base 4) to base 16\nAnswer: 2eac78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -961*s + 7824. Determine g(8).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37b (base 14) in base 2?\nAnswer: 1010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*f + 68, 2*v + 3*f - 56 = 2*f. Suppose 199*s - 193*s = v. What is the highest common divisor of s and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 113. Solve 2*x = 5*z - 10, -x + 3*z + 2 = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1810 - -1815. Let b(v) = -v**2 + 3*v + 8. Let o(f) = -2*f**2 + 5*f + 15. Calculate a*b(i) - 3*o(i).\nAnswer: i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2902392 and 174681?\nAnswer: 37731096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1433, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 4 (c) -1\/50 (d) -620 (e) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24707071 from 0.2.\nAnswer: 24707071.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/(-7) + 6\/(-14). Suppose -s = u*s. Suppose s = f - 17 - 6. Solve -3*d + 3 = 0, -5*x - 2*d = -0*d + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2. Let i(u) be the third derivative of 2 + 0*u**4 - 67*u**2 + 1\/30*u**5 + 52\/3*u**3 + 0*u. What is i(r(t))?\nAnswer: 18*t**4 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 31) + (46 - 58).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 221835*q**2 - 4101008184*q - 4100786352.\nAnswer: -3*(q + 1)*(q + 36972)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + 62. Let x*f**2 + 3 + 20*f + 35*f**3 + 2 - 5 = 0. Calculate f.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - -107?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7596 divided by -1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52.8 in -2\/21, 1\/35, -2\/35?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by 1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4695076 (base 11) in base 2?\nAnswer: 11111001111110001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 35. What is the greatest common factor of 105 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(38))\/sqrt(2))**2 + (-3 + sqrt(76) + 3)**2.\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5430, -5423, -5416, -5409, -5402, -5395?\nAnswer: -5388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 251644*i**2 + 251656*i**2 - 1 + 69*i - 6 in the form m*i + y*i**2 + b and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444506 (base 7) to base 15.\nAnswer: -183a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5))**14*m*m**(-7\/3)*m**10 assuming m is positive.\nAnswer: m**(-142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -87\nAnswer: -14\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -63 (b) 0.5 (c) -2 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 14*r)*(9*r + 4*r + 2*r) + (-2*r - 2*r + 6*r)*(0*r + 0*r - r).\nAnswer: 208*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 1. Let m be w(4). Let n(b) = b**3 + 3*b - 7. Does 10 divide n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**7\/5040 - t**6\/540 - t**5\/144 - t**4\/72 - 23*t**3\/6 - 27*t**2. Let d(f) be the first derivative of i(f). Factor d(u).\nAnswer: -(u + 1)**2*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*m + 25 = 0, 3*i - 7*i - 3*m - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 8439990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-5)\/(-20)). Let b(k) = k + 9*k**3 + 2 - 3*k**2 - 29*k**3 + l + 19*k**3. Suppose 2*t = -8 + 2. Determine b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -8, -5*y = -2*v - 2*v - 244. Let a be y\/130*(-110)\/34. Is a at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2738 - 0?\nAnswer: -2738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 568*s**2 - 17 + 38 + 3481*s**2 + 47*s + 2*s**3.\nAnswer: 2*s**3 + 2913*s**2 + 47*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*j - 6*q - 318, j - 61 = -2*q. Calculate the greatest common factor of j and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/6 - 84*g. Let h(r) = 1054*r. What is h(c(v))?\nAnswer: -2108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2975 by -4.\nAnswer: -2975\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**2*u**3 + 16694*t**2*u - 2*t*u**3 - t*u**2 + 6*t + 55*u**3 wrt t.\nAnswer: -2*u**3 + 33388*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.01 - -14.91. Which is the nearest to -0.1? (a) 2 (b) l (c) 0.7 (d) 1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15 = -2*l + l, -4*l = 4*g - 48. Suppose -4*z + g*z = 20. Suppose 144 = z*b - u, 2*b + 2*u - 47 = 25. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7343015544?\nAnswer: 2, 3, 61, 1671907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/3, -5, 0.3, -1\/5, 54080?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - 55*d - 23. Give u(17).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 2*t + 1. Let c be k(-1). Let u(a) = 15*a - 3. Calculate the remainder when u(c) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*(441\/(-7))\/(-9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -52036, 6, -0.5?\nAnswer: -52036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17273565, -69094257, -155462075, -276377019?\n\"Answer: -17273563*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 16 = 6*t - n, 2*t - 16 = -3*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18671*n**5 + 16848294*n**2?\nAnswer: -1120260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-21))\/(2\/8*-6 + 2279\/742).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 7, 4\/7, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ansjjjsinonj. What is prob of sequence on?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*n - 2*k - 17, 5*n - 42 = -4*k. Let l(y) = y**2 + 2 + 0*y**2 - 4*y + 0. Calculate the smallest common multiple of n and l(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/2 + 18. Let j = -19 + 14. Let m = -0.94 - -0.96. Which is the third biggest value? (a) k (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312972, 312971, 312970, 312969, 312968?\nAnswer: 312967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:38 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:05 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -82\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 16. Give t(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2055 and 36755045?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:48 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0 - (-56 + 47)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44841 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650, 582, 474, 326?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 119.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghg when three letters picked without replacement from hdggg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26\/29?\nAnswer: -26\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17781613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugg when three letters picked without replacement from gkkukggugkkuguikuug.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 6. Let m(k) = -3*k + 6. Let p(i) = -4*m(i) - 5*u(i). Suppose -3*r + 8 = -7. Suppose -3*n + 7 = -5*y - 4, 0 = -3*y + r*n + 3. Calculate p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*8\/214*(-4)\/(-6).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 494, 14, 2, 2\/139, -5 in increasing order.\nAnswer: -5, -1\/7, 2\/139, 2, 14, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -247?\nAnswer: 5\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8661, -7492, -6319, -5142, -3961?\n\"Answer: 2*i**2 + 1163*i - 9826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 2135 - 2599 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:41 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 - 2362?\nAnswer: -2367.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -258, -1305, -4142, -9663, -18762?\n\"Answer: -149*y**3 - y**2 - y - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*s = h + 1621, -5*s + 1617 = h. What are the prime factors of h?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:37 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2585954, -2585981, -2586008, -2586035?\nAnswer: -2586062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccftcscst. Give prob of sequence tfcf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puuppuuppp. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -76*f + 75*f - 23, f - 17 = -4*s. Let l(y) = -3*y - 6. Determine l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1302.3 + -1302. Let y = -6094\/13 + 469. Sort -0.3, y, j in ascending order.\nAnswer: -0.3, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8651 + 8671.043. Let l = f - 0.043. Let w = 20.37 - l. Round w to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 15418200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*i - 242*i + c + 29795 = 0, -c = 4*i - 119165. Is i a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 20*m - 104*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 297813 (base 15) in base 4?\nAnswer: 13220033022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 + 122. Put t, -2\/7, 4\/3 in decreasing order.\nAnswer: 4\/3, t, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**38*n*n**(15\/4)*n**(2\/39)*n*n*(n*(n\/(n*n**(3\/37)))\/n*n)\/n)**(2\/147) assuming n is positive.\nAnswer: n**(36875\/60606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 + v**2)*(-1 + 1 + 7*v**2)*(-7 + 2 + 2).\nAnswer: -42*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3861778 rounded to 3 dps?\nAnswer: 0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303388, -303379, -303370, -303361?\nAnswer: -303352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(121) - (sqrt(121) - -2*sqrt(121)))*5)\/(sqrt(891) + sqrt(891)*-1 + sqrt(891) + sqrt(11) - sqrt(88)\/(sqrt(32)\/sqrt(4))).\nAnswer: 50*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 + 32*g)*(2*g**2 - 2*g**2 + 6*g**2)*(-g**2 - 1 + 1)*(2 + 1 - 4).\nAnswer: 192*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-378)\/54 + (-4)\/(-2)*1. Let c(p) = -5*p - 27. Determine c(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*o - 2*c, -o = 6*c - 11*c. Suppose -23*z = -22*z - o*d + 18, 3*d = -2*z + 16. Solve 0 = -m + 4*i - 13, 3*m + z*i = -m + 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z = 29*z - 202 - 293 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 3. Let z be r(-5). Suppose 15 = -5*g, -3*x + 1 = g - z. Is x > 8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/7)*x)*x**7)\/(x**(-1)*x)**(1\/4))**19 assuming x is positive.\nAnswer: x**(969\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 9*z + 5. Let o(v) = 12*v**2 + 120*v + 66. Let f(n) = -27*c(n) + 2*o(n). Give f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from zavuk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -159*v - 43. Calculate the remainder when 870 is divided by b(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 94*g**2 - 75*g + 1341. Is h(62) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 1 - (1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 284*m**3 + 2966*m + 4906691 wrt m?\nAnswer: 852*m**2 + 2966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 5:52 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmiimiimmi.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 2*a - 1. Let r = -74 - -73. Let l be x(r). Solve 6*u - l*u = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 + 160*q**3 - 444*q**2 - 16*q + 592 = 0. What is q?\nAnswer: -1, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = 6*w - w. Suppose 2*y + 70 = -2*p, 4*p = 3*y - 0*y + w. Let h be 4\/10 + y\/(-5). What is the highest common divisor of 49 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396391 and 104957.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 28358810 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {a: 2, v: 6, y: 2, p: 1, h: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17545 and 22185.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -18 (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {l: 12, i: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*j - j + 2300 = 0, 4*n + j - 4575 = 0. Suppose -m = -4*u + 4230, 0 = 4*u - u + m - 3176. Let q = u + n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 1, q: 2, c: 1, n: 8, i: 1}. Give prob of picking 1 c, 1 q, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(91)\/(sqrt(14)\/sqrt(2)) - (-3 + sqrt(1573)*2) - ((-2*sqrt(104)*2)\/sqrt(8) + 4 + 2).\nAnswer: -12*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 2, -7041, 2845?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 342 + 356 = 6*h + 2*v, -3*v - 1 = h - 7 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15*z**2 - 41. What is the remainder when f(8) is divided by 151?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:10 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, h: 7, p: 2}. Give prob of sequence jpj.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(3\/(-14)). Suppose 21 = -0*v - n*v. Which is the third biggest value? (a) 2\/5 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43761764771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105244 - -4144?\nAnswer: 113432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*a - z = -7, 4*a - 5*z + 17 = 0. Suppose 4*g - 34 = -a. Suppose 2*r - 3 = 25. Calculate the smallest common multiple of r and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3156824856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.39*0.202\nAnswer: 0.07878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7918850777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjqjjqjjjjjqjqj. What is prob of picking 2 q and 1 j?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 166*u - 6720.\nAnswer: -(u - 96)*(u - 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) -2\/3 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4108 and 7124.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.9 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(300\/7)*(-22)\/(-14) and 37\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 78, -23, 4, 0.\nAnswer: -23, -10, 0, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1087648 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*v + 3*v, 5*q + 4*v = -21. Let a = 6 + q. Solve -f - 1 + a = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 7*p - 2. Let c be d(-5). What is the units digit of ((-8)\/3)\/(4\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 32 + 8. Let u = s - -43. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jawl when four letters picked without replacement from wllljllwllalwlal.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + -11561424?\nAnswer: -11561452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azgzluzgfuzzgzllz. Give prob of picking 1 g, 1 z, and 1 u.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224836 is divided by 37469.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 + 6*x + 5. Let u be 3 - 2\/((12\/(-9))\/(-4)). Let l be a(u). Let f(z) = 81*z - 32. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*n + 2408 - 888 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 7*y + 165. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 - -401.93. Let f = 0.07 + v. Which is the third biggest value? (a) -1 (b) f (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 11775.\nAnswer: 376800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1461, 3, 5, -186, 13 in decreasing order.\nAnswer: 1461, 13, 5, 3, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*h = -2*s - 11, 3*h + 6 = 0. Let a(z) = z. Let m be a(s). Is m\/2 + 1495\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-1)\/(-3)) + 3. Suppose 4*y + 4*w - 55 = t, 2*w - 8 = 0. What is the derivative of -20*r + 5 - 5 - y - 14 wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 2\/13, 2, 7\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 5 - 21 + 3*s + 2 + 0. Give i(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19308)\/78841)\/(3 + (-71)\/21)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245.9 - 30.9. Let g = y + -214. Which is the smallest value? (a) 0.1 (b) -3 (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110100011110 (base 2) in base 5?\nAnswer: -1000041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355*q + 202 = -254*q. Suppose -1\/4 - 1\/4*a**q + 5\/8*a = 0. Calculate a.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 18*t**2 + 48*t + 2. Is g(-23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 256, 1477, 4578, 10465, 20044, 34221?\n\"Answer: 151*x**3 + 34*x**2 + 62*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from xmxxxmxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*v**4 + 91*v**2 - 91*v**2 + (2*v**3 + 4*v**2 - 4*v**2)*(-3 + 3 + v) + 2*v**3 - 3*v**2 + v**2 + 52*v**4 - 54*v**4.\nAnswer: -20*v**4 + 2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2.02.\nAnswer: -12.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 7*m + 6. Let k be g(-5). Let r be ((-4)\/k)\/((-2)\/8). Let c be 2\/(r + 21\/6). Put c, -5, 2 in descending order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 44. Let v be 18\/g*-1 + 3. Suppose -16*u = -v*u - 8. Solve 0 = 3*h - u*o - 16, -h - 2*h = -3*o - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23686359 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03492 and -8.\nAnswer: -7.96508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 5*f + f**3 + 4 + 0*f**3 - 4*f**2. Suppose r + 4*d = -21, 3*r = -3*d - 41 + 14. What is p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11574 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 2010729*f**2 + 0*f + 2010834*f**2. Let i(v) = 9*v. Calculate q(i(s)).\nAnswer: 8505*s**2 + 27*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -245823687.\nAnswer: -4\/245823687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-24)*(f*(f**10\/f)\/f)\/f)**33 assuming f is positive.\nAnswer: f**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = 177 - 347. Let a(m) = m**2 - 6*m + 7. Let v be (7 - 2)\/(0 - -1). Let d be a(v). Solve -d*z = -4*z - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 21*i - 3 = 0. Suppose 2*q = 5*q. Suppose q = 2*t - 1 - 17. Solve -4*r - i = -t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40978196 and 51222745?\nAnswer: 204890980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q - 2*q - 5*q)*(189*q - 327*q - 845*q - 680*q) as i + r*q + u*q**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfy when three letters picked without replacement from yfyfyyyyyyy?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 37516, 1, -1, 23, 5 in increasing order.\nAnswer: -1, 1, 5, 23, 37516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 8*r - 5. Let w be q(7). Suppose 6*o - w*o = -5*v + 21, 2*o - 9 = -v. Let p(h) = -5*h**2 - h - 3. Let j(z) = z**2 + 1. Give v*p(u) + 4*j(u).\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(225)*-4)\/(sqrt(432) + -4*(sqrt(432) + sqrt(432) + sqrt(432) + sqrt(432)*1) + sqrt(432) + sqrt(432) + 1*2*sqrt(432) + sqrt(432)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -40, -71, -110, -157?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367719 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -7*h**3\/6 + 2*h**2 + h - 47. Let x(u) be the first derivative of u**2\/2 - u - 2. What is -s(m) - 4*x(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 3*c)*(0*c + 3*c + 3*c)*(-c**3 - 13*c**2 + c**3 - 38*c**2 - c**3).\nAnswer: -12*c**5 - 612*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.206802 + 0.606802. Let z = 2 + -2.5. Put z, i, -9\/5 in ascending order.\nAnswer: -9\/5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 3*y**4\/4 - 3*y**2\/2 + 2. Solve j(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 8 = -2*q + 22, -13 = q + 3*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865027.7*-0.7.\nAnswer: -605519.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-1 + (-34)\/(-30)). Which is the nearest to -2? (a) -0.4 (b) n (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**4 - h**3 + h**2 + h. Let v(p) = -8*p**4 - 4*p**3 + 6*p**2 + 4*p + 2. Let c = 18 + -39. Let n(j) = c*w(j) + 3*v(j). Factor n(s).\nAnswer: -3*(s - 2)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*b = -14, -4*g + 4 = 2*b + 2. Let l = 3 - g. Is (-2 - -5)*1 + l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - 3*j - 5. Let z(u) = u**2 - 4*u + 4. Let g be z(4). Let m be o(g). Let x = 7 - 4. Solve -15 = -3*b, 0 = -s - 3*b + m + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/p**(-2))\/((p*p\/(p\/((p**(3\/5)\/p)\/p)))\/(((p**(-6)*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, f: 3, b: 1, r: 4, y: 1}. What is prob of picking 1 y, 1 f, 1 r, and 1 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -19, -55, -127, -247, -427, -679?\n\"Answer: -2*r**3 + 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, m: 4, u: 4}. What is prob of sequence um?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 972.6 - 853. Let m = y + -120. Let i = 0.3 - 0.1. What is the closest to 2 in m, 2\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/7, -4\/3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*c + 109*c - 198*c = -1592. Solve -h + 36 = c*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-72)\/14)\/((-24)\/224) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/35 + 176\/14. Suppose -5*b = -22 - f. Solve -8*w = -b + 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*u. Let p be (-10)\/4*(u + (-66)\/15). Solve h - 4*r = -4*h - 15, p = -2*h - 2*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/35)\/(192\/(-448)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 39 = -5*c. Let t be 6\/c + 0\/(-2). What is the nearest to 1 in -4, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1215.143ng?\nAnswer: 0.000001215143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 5*q + 3 - 2 + (0 + 3 - 4)*(49*q + 1114 - 1114) + 12*q - 6*q + 4*q.\nAnswer: -40*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55361 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 27994 = 5*s, -3*s + 9814 = p - 6989. What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -9 - (-6 - 0). Suppose -3*j + j + 10 = z. Solve 0 = -2*o + 7*o - n - 19, -4*o - j*n + 21 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 3)\/((-8)\/6). Solve j*a - 3*z = 12, 2 = 2*a - 4*z - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7797 - 7795. Let z be (-38)\/(-6) - (-4)\/6. Let p(b) = -20*b**o + 1 + 16*b**2 - z*b**2. Calculate p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -533, -1164, -2037, -3146?\nAnswer: -4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 13 - ((5 - 11) + 7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 272980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 1411*o**5\/60 + o**4\/24 - o**3\/6 - 3*o**2 - 2. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((((-3)\/(-9))\/1)\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28418244.\nAnswer: 2, 3, 2368187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**7\/6 + 19*c**3\/6 - 3*c + 7. Let p(f) be the first derivative of w(f). Find the second derivative of p(v) wrt v.\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + 7*c + 6. Let w be k(-4). Let u(r) = r**2 + 3*r. Let z be u(-3). Suppose -w = -z*n - n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.396?\nAnswer: -0.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000047244 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 13 + 5 = 0. Suppose 0 = -f*i - i + 6. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -48. What is the highest common divisor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7027 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5218*i - 448769. Calculate l(-86).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110487 and 20397?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + (9\/3 - (-2598)\/(-858)) and 35\/33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, -1, -547, -5?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -14, -4, -5, 0.\nAnswer: -145, -14, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 61*j - 15. List the prime factors of x(-25).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2) - (-6)\/2. Suppose n = -4*a - 7. Let d be 1 - 6\/(4 + -2). Are a and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000965162 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c - 6. Suppose b = 3*s - 61, s - 5*s = b - 93. Calculate the lowest common multiple of s and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66536967 to the power of 1\/2, to the nearest integer?\nAnswer: 8157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*p**2 + 10*p**2 - 12*p**2)*(5*p - 3*p - p) + 3*p**3 - 2*p**3 - 180*p**2 + 189*p**2.\nAnswer: -29*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-35)\/p*p*p\/p**(-11)*p*p**(-17)*(p\/p**31*p)\/p*p assuming p is positive.\nAnswer: p**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89210, 177368, 265528, 353690, 441854, 530020, 618188?\n\"Answer: j**2 + 88155*j + 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34674 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*u - 170*u = -1344*u + 11172 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6903124 (base 11) to base 5\nAnswer: -11043123330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1211045*c**3 + 605515*c**3 + 605532*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1.9671151\nAnswer: -0.9671151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411, 802, 1213, 1668, 2191, 2806, 3537?\nAnswer: 4408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1 - 974*o**2 + 433*o**2 + 523*o**2 - o. Give k(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 4.2. Let q = -10 + v. Let l = 4.3 + -4.5. What is the third smallest value in -3, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26495773433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:43 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12054378, 12054384, 12054394, 12054408, 12054426, 12054448, 12054474?\nAnswer: 12054504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, 2\/7, -3, 0.8 in increasing order.\nAnswer: -3, -0.3, 0.1, 2\/7, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.3 - -6. Sort -0.2, k, 2\/21 in descending order.\nAnswer: 2\/21, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 114*x + 130 = -110*x, 5*c = -5*x + 135. Let d(i) = -6*i**2 + 12 - i - i**3 - 4*i**2 - 2*i. What is the remainder when d(-10) is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106835589.\nAnswer: 3, 7, 577, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 30*t**2 + 3185*t - 321. Calculate n(-106).\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5561 - -5560. Let c be (1\/2)\/((-6)\/(-4)). What is the closest to g in 0, c, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (110\/660)\/(2\/60). Suppose -d + 6 = -2*m + 12, 4*d - 5*m + 15 = 0. Put d, l, -16 in descending order.\nAnswer: l, d, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/7))\/(m**6*m)*(m**(1\/3)\/m)**(-12\/11) assuming m is positive.\nAnswer: m**(-428\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynyylnyyy. What is prob of sequence ynl?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971 - 90 + 2*z**2 + 1061 - 7*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3253769 to the power of 1\/2, to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 104\/138 + 2\/(-6) and 2688\/189 + (-464)\/32.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197780*s**2 + 197779*s**2 - 5 + 5 + 17*s.\nAnswer: -s**2 + 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120444200 - 13311?\nAnswer: 120430334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2041 (base 7) to base 6\nAnswer: -3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -6 - 18 - (-1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 30*f**2 + 54*f + 58. Let h be b(28). Suppose 0 = -6*g + 4*g + 4*m + 628, -h*m = 5*g - 1558. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 2. Let g = -0.0504 + 44.3504. Let b = g - 44.5. What is the nearest to -2\/3 in o, b, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 136, -107, -350?\n\"Answer: -243*j + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 27, 1\/5, -7328, -5 in decreasing order.\nAnswer: 27, 1\/5, -0.06, -5, -7328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8330, 16652, 24972, 33284, 41582, 49860, 58112?\nAnswer: 66332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4776 is divided by 611?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 2*s + 27, -5*y = 17*s - 22*s - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose -2*b - 5 = -c, i*c + 4*b + 14 - 59 = 0. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -12332?\nAnswer: -1233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -537 + 541. Suppose -2*h + 3032 = -a*v, 1763 = 2*h + 5*v - 1260. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, u: 3, l: 2, d: 6}. What is prob of picking 1 l, 1 t, 1 u, and 1 d?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/(1\/(-26)). Let h = u - -1. Let f(c) = -36*c - 33. Calculate the remainder when f(-2) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -20. Let n(q) = 0*q**2 - h*q**2 - 10*q + 6*q**2 + q + 7. What are the prime factors of n(7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12267 is divided by 4005.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2229, 4425, 6621?\nAnswer: 8817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 26*t + 2*c + 20 = 0, 0 = -5*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/4 - -1)*(-500)\/(-75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 2*g - g**3 - 12*g**2 + 0*g**3 + 2*g**3 - 15. Let j be -10*7\/((-35)\/(-6)). Is x(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*-5)**2 - sqrt(5) - sqrt(60)\/(-3*sqrt(12)).\nAnswer: -2*sqrt(5)\/3 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/16 and -55\/74912.\nAnswer: 74912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166124 + -3?\nAnswer: -166130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17404 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**3 + 10*p**3 + 3*p**3)*(21 + 27*p - 21)*(-3*p + p - p).\nAnswer: -405*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10172821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*m - 4*m + 5*q, 3*m = -q + 13. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 20. Suppose 2*a - 123 = -a - 3*f, -5*a + f + 175 = 0. Calculate the remainder when a is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-24 - -10) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 - 6*u + 6*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2673 and 7047?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -58610991 and -58610998 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 4, f: 2, u: 9, v: 3}. Give prob of sequence iu.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = 4411 - 217. Let t = -137 - p. What is the smallest common multiple of 27 and t?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 5*y + 12, 72*s - 44 = 60*s - 5*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23494779?\nAnswer: 3, 7, 11, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -10\/80151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 70018*g**2 - 2. Let b(a) = -2*a. Give u(b(y)).\nAnswer: 280072*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2221\/132 + -14\/33. Suppose 3*b - 2*c + 288 = 0, -b - 4*c - 270 = 2*b. Find the common denominator of 1\/(-4) + b\/(-40) and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1150\/7 - -164. Let t(s) = s**2 - s + 2. Let n be t(1). Suppose -j = 2 + n. Which is the nearest to -1? (a) j (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9401.6 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-33)*y*y*y\/(y\/y**(-2\/47)))\/((y**9\/y)\/(y\/y**(-6\/17))))**(-3\/11) assuming y is positive.\nAnswer: y**(90342\/8789)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9871*u**3 + 3*u**2 - 24*u + 21. Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5452 (base 8) to base 14.\nAnswer: -1082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 4*f**3 + 3*f**3 + (3*f - 5*f - 6*f)*(0*f**2 - 4*f**2 + 3*f**2) + (2 + 1 - 4)*(-8 - 3*f**3 + 8).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 + 14*q**2 - 7*q - 18. Let f be p(9). Let l = f - 2788. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 1. Let q be z(-1). Suppose -8*w - 4*s = -4*w, 4*w = -6*s - 2. Sort q, 12, 3, w in decreasing order.\nAnswer: 12, 3, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -4 - (0 - (-3 - -1)). Let y be (0 - d\/18)\/((-1)\/(-6)). Find the third derivative of 25*i**y + 27*i**6 - 6*i**6 + 18*i**6 wrt i.\nAnswer: 4680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -6*m - 6348. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**2 - 19*w**2 + 51*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -92069.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 910961179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 486\/66 + -7 - (19068\/891 - 21).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 108006502 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2140 by 4.\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 2:21 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + f**2 + 2*f + 1. Let g be t(-1). Is g at most as big as 11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -972969 <= -972967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-83780)\/(-34) + 12\/(-102). What is the third derivative of 2*d**3 - x*d**6 + 7*d**3 + 2461*d**6 - 128*d**2 wrt d?\nAnswer: -360*d**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.1, 2\/9, -11909, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4018854 millilitres?\nAnswer: 0.0004018854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*u + 56*u - 3*n + 8, 0 = 5*u + n + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgbr when four letters picked without replacement from {r: 1, i: 1, x: 4, b: 3, g: 1, m: 4}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28*13\/52 - 25\/5. Solve 0 = 4*h - j*b - 20, -13*b = 2*h - 10*b - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(((-14)\/(-8))\/((-10815)\/9270))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1927*k**2 - 2*k + 4. Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*g + 110*g + 4 - 2)*(2*g**3 + 3*g**3 - 3*g**3)*(-5*g + 4*g + 3*g).\nAnswer: 24*g**5 + 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9276*x**3 + 20*x**2 - 17*x - 2. What is the tens digit of c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 27*y + 18. Give l(-20).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3156 (base 9) to base 5\nAnswer: 33234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5858 + -5858.679. Which is the nearest to p? (a) -2 (b) 3\/8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -30, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 539212472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -119670000 to the nearest one million.\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/6 (b) 195 (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let l(c) be the first derivative of c**2 - 2. Give i(l(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1391 - 402 - 744 - 173)*(4*n + 2 - 5*n + 4*n) to f*n + w and give w.\nAnswer: -5420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 9 = -3*k. Let j(h) = 2*h**3 + 66*h**2 - 59*h**2 - 5 + 2*h - 6*h**k + 3*h**3. What is j(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 10\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*u**2 + 35094*c**2 + 2*c*u**2 + 11917*c*u - 2*c wrt c?\nAnswer: 6*u**2 + 70188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1107, -1\/7, -0.3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 26 + 93 - 3*l.\nAnswer: -3*l + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 318*f - 319*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -433 - -436. Solve -h - m*h + 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 + s**4 + 0*s**4 + (-1 + 0 + 3)*(-4654*s**2 + 4654*s**2 + 1 - 295*s**4).\nAnswer: -594*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 4.\nAnswer: -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 16. What is the second derivative of -594*g**3 + 594*g**f + 6*g**4 + 33*g wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/19 - 1\/38. Sort 2\/11, 1\/2, n.\nAnswer: 2\/11, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(-1*sqrt(264))\/sqrt(12))\/(sqrt(99)*3 + (sqrt(99)*-2 - sqrt(99))\/sqrt(9)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:55 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.019283?\nAnswer: 0.019283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 - 232*y - 1901. What is the remainder when 5230 is divided by o(-8)?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253590 and 450?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -20*j**3 + 15*j**2. Let f(n) = 19*n**3 - 14*n**2. Suppose -b + 1 = -1. Let v(s) = b*f(s) + 3*g(s). Find the third derivative of v(h) wrt h.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (651\/(-6))\/(4\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, 70, 301, 646, 1105, 1678?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4\/5 + 36*r**3\/5 - 81*r**2\/5 + 42*r\/5 = 0. Calculate r.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezcpepamzapzaazzpzz. What is prob of sequence pm?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4637.2 minus 31946406?\nAnswer: -31951043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 5*i - 33. Let o = -45 + 37. Let q be a(o). Find the second derivative of 74*m - q*m + 32*m - 29*m**2 wrt m.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-15))\/((-1)\/5). Let a = 63 - 60. Let n be (3 - (6 - a))\/1. Solve -3*s + n = -c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -8. Let k be b\/(-6)*(-2)\/3. Is k at least as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*(-10)\/8*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d**2 - 16*d - 3 + 22*d**2 + 29*d + 37 - d**3. List the prime factors of i(14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/9 + (-2)\/3. Solve o*d = 5*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32 - 22 - (1 + -1). Let a be (-24)\/s*(-1 + 6\/(-4)). Solve 5*u + a + 10 = 2*h, 2*u = -2*h - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*v - 3*v + 31734, -2*v + 2*a + 12684 = 0. Does 92 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5123925 divided by -113865?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9061388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 500607870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 (base 10) in base 2?\nAnswer: 110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35419?\nAnswer: 35419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11427095 to the nearest integer?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 42574065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -16. Let j = -4 + l. Let z = 6 + -4. Put -0.5, j, z in decreasing order.\nAnswer: z, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-12))\/(-1))\/(17\/(68\/22))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - 46.708.\nAnswer: 68.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 0)\/(6\/(-8)). Let l(i) = 4*i**2 + 3 + r - 4 + 2. Let f(d) be the second derivative of -d**4\/4 - 2*d**2 + 10*d. What is -5*f(n) - 4*l(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -4 (c) 1\/90 (d) 2 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60\/(-510) + (-3705774)\/(-102) + -5.\nAnswer: 2, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**3 + 4*d**3 - 2*d**3)*(-22*d - 9 + 9 + 1) to y*d**4 + m*d**2 + g + s*d + n*d**3 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 2*g**2 + 0*g**4 - 6*g + 3*g**4 + 8*g + 2*g**3 to the form u*g + q*g**2 + m*g**4 + j + p*g**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18343306603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. What is the remainder when 8 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 391162392 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 178068 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/14616 and 83\/2190312.\nAnswer: 15332184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 10*p**2 + 2*p - 14. Let n be r(10). Let b(f) = -f**2 - 12*f + 4*f + 6*f + n*f + 7. Calculate b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11193554100 - -0.03.\nAnswer: 11193554100.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1850000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171) - (sqrt(171) - sqrt(171)*2*5))\/sqrt(9).\nAnswer: 5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 340 = -x + 350, -5*b = 5*x - 30 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from vvvwvvvzuvauvavv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001201 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -89*p**2\/2 - 345*p\/2 + 22 = 0.\nAnswer: -4, 11\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.057755 + 0.042245. Let l = -51.82 + -1.18. What is the biggest value in 4, l, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (7 - 18 - -2 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 84556745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77\/11 + 2\/2. Let y(s) be the second derivative of s**4\/12 + s**3 + 7*s**2\/2 - 4*s. What are the prime factors of y(h)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:58 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60865907, 121731814, 182597721?\n\"Answer: 60865907*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4571 - 4570. What is the third biggest value in -3\/5, 7, 2, 0.11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.1034 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3251619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-19) + (-187)\/(-209). What is the smallest value in 1\/9, -48, x?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -114979, -459858, -1034649, -1839346, -2873943, -4138434, -5632813?\n\"Answer: z**3 - 114962*z**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 - 1410*j = 0. What is j?\nAnswer: 0, 705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -3, 1, 12.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1857212 by -3.\nAnswer: 1857212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261855 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 105\/30 + ((-1)\/(-2) - 1). Suppose -2*s + 3*s + 7679 = 5*n, -4625 = -o*n + 5*s. Suppose -n + 356 = -9*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 7*s + 30 = 0. What is the common denominator of 16\/9 and (901\/(-51))\/(4\/s + 2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:41 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9084*i**5 - 2*i**2 + 46*i - 43 wrt i.\nAnswer: 545040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -273, -436, -599, -762, -925, -1088?\n\"Answer: -163*p - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4673 < 845928\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*s + 84*s + 4*g, 10 = 2*g + 2 - 4 + 2 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) -14 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 2. Let r = -22 - -22.3. Which is the fourth biggest value? (a) 3 (b) 0 (c) r (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2439.8 + -161.8. Let b = 2277.7917 - l. Round b to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10134*b**2 + 10134*b**2 - 525*b**3)*(-4*b + 8*b + 0*b)*(3 - 1 + 0).\nAnswer: -4200*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {i: 7, g: 1, w: 2, l: 4, v: 2, b: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -807a8 + -2?\nAnswer: -807aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h + 272. Let y be q(-29). Put 4, y, 2, -4 in increasing order.\nAnswer: y, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 14, j: 1, g: 2}.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.1 - -0.4792416915.\nAnswer: 20.5792416915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 179948551407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/(-21) - -6)\/(2\/35). Let i = 64 - j. What is the greatest common divisor of 98 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*j - 33 = 322*j - 159*j. Which is greater: -11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -15*t**3 - 2*t**2 - 7*t - 3. Let g be (-81983)\/231 + (-2)\/21. Let h = g + 359. Let z(o) = 8*o**3 + o**2 + 4*o + 2. Give h*v(j) + 7*z(j).\nAnswer: -4*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (1*sqrt(3584))\/(sqrt(40)\/sqrt(5)*-4)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/10 - 78\/(-15). Let k(z) = -2*z**2 - 15*z - 4. Let d be k(-7). Let j(a) = -a - 6 - 6*a**3 - 43*a**2 + 38*a**2 + 13 + 7*a**d. Give j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 9:49 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Suppose 0*c + 5*c - 10 = 0. Let g(b) = 4*b**2 + 2*b**2 - b**c. Give j(g(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14632592 - 932592. What is l rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u - 2*u = 0. Suppose u = -3*g + 4*i + 13, 6*g - 33 = g + i. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -158*o**3 + 4*o**2 + 3*o - 3. Let x be c(-3). Let w = x - 2779. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 46*c - 9. Let h(n) = -n**3 + 11*n**2 + 15*n - 30. Let p be h(12). What is the hundreds digit of u(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 8*k**4 + 8*k**3.\nAnswer: 2*k**3*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10) + -91 + 85.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1151 + 2701. Let d = 1524 - u. Suppose 24 = -4*z - 4*g, 4*g = 3*z - g + 10. Sort z, -1, d in ascending order.\nAnswer: d, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 3. Let p(r) = -r**3 - 4*r**2 + r + 4. Let j(q) = 4*h(q) - 3*p(q). Factor j(x).\nAnswer: 3*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and 53\/2186375.\nAnswer: 17491000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -828043.34 and 0.06?\nAnswer: 828043.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11403023 (base 8) in base 6?\nAnswer: 125224403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 40*k**2 + 44*k - 118. Determine m(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-14))\/1*112\/32. Suppose -13*g + 18*g + 3*d = 35, 2*g + v*d = 0. Calculate the greatest common factor of 8 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 20*f**2 - 20*f + 21. Let i be p(14). Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijm when three letters picked without replacement from {m: 1, j: 13, i: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 - 184559666*u + 8515567578507889 = 0. What is u?\nAnswer: 92279833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -189, -762, -1949, -3972, -7053, -11414, -17277?\nAnswer: -24864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369594 and 1404.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/3))\/(r*r\/(r\/((r*r**(1\/3)\/r)\/r)*r*r))*r*r**(1\/3)*r*r\/r**11*r assuming r is positive.\nAnswer: r**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32112780 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36143 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83496*d**2 + 83496*d**2 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f = -69*f + 153. Solve 3*r = -5*b + 8*b + f, 0 = -b - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15734\/7105 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153267 (base 11) to base 15.\nAnswer: 4aa44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-4) + (97\/8 - (-90)\/(-720)). Let g = -4 + -15. Is g at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 25 + 13\/3*r**3 + 1\/4*r**4 + 0*r - 79\/2*r**2. Find the second derivative of s(m) wrt m.\nAnswer: 6*m + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 403, 424, 465, 532?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12028.21 and 28.8.\nAnswer: -11999.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 810.66 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 4*w - 8. What is u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 2*d + 15. Let j be t(5). Put -2, j, -1 in descending order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 3*b**2 - 2*b**2 - 4*b**2 - 4*b + 4*b + (-1 + 2 - 3)*(-4*b**2 + b**2 + 2*b**2) - 4*b**2 + 0*b**2 + 12*b**2 - 2*b**2 - 2*b + 2*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 12*y + 189. Calculate the lowest common multiple of r(-19) and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**2 + 4*q**2 + 2*q**2)*(q - 1 + 1)*(830 + 202*q + 851 - 1682) to d*q**4 + w*q**2 + b*q**3 + m*q + j and give d.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:47 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6482 + 6491. What is the remainder when 384 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 31*r**2 - 50*r - 2054. Determine h(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-20 + 5 + 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u. Let v(b) = 2*b + 3. Let s be v(0). Suppose q = -s*q - 16. Give o(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/45)\/((-360)\/15*6\/(-162)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5 - 4132*q**4 + 57697*q**3 - 185362*q**2 + 214156*q - 82360 = 0.\nAnswer: 1, 2, 10, 4118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27414543, 54829095, 82243649, 109658205, 137072763, 164487323, 191901885?\nAnswer: 219316449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12513 minus 0.1?\nAnswer: 12512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.38 + -3.38. Let g = 5453\/9 - 606. Which is the closest to -2\/3? (a) 7 (b) y (c) g (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 1. Let x = 209 - 210. Determine i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 + 161358*q**2 - 9764538970*q + 322171215718\/3.\nAnswer: -2*(q - 121013)**2*(q - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -12656405*m**5 - 164539629*m**4 - 3037950864*m**3\/5 - 2279680312*m**2\/5 - 1145712*m\/5 - 144\/5 = 0.\nAnswer: -6, -1, -2\/7955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -26*r**3 + 7*r**2 - 1. Let h(c) = -c**3 + c**2. Let x(u) = b(u) - 6*h(u). What is the least common multiple of 8 and x(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:15 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.03958.\nAnswer: -0.015832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -l - 46 + 112, l = 4*b + 21. Let u be 0 - 0 - (-1 - -1). Suppose u = p + p - 22. Calculate the remainder when l is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 22 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*n - f - 20, 3*n + 5*f = -10. Suppose 3*u - 13*q = -11*q + 10, 2*u + 3*q - 24 = 0. Solve -u*i = -i - n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 + 0*a + 3\/8*a**4 - 3\/40*a**6 - 1\/30*a**5 - 4*a**2 + 1\/3*a**3. Factor j(b).\nAnswer: -(b - 1)*(b + 1)*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10 + 1*(-1 + 2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**2*n*r**2*s - 2*l**2*r**3 - 3*l**2*r**2 + l*n*s**2 + 12*l*n*s + l*r**3 - 4054*n*r**3*s**2 - 104*r**2*s**2 wrt r.\nAnswer: -12*l**2 + 6*l - 24324*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*u + 2*u + 8 + 6 to the form l + v*u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -182.34233 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 8*l - 9. Let u be a(6). Let x = u + -1. Suppose 0*m - 44 = -x*m. What is the smallest common multiple of 6 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -82341 and -87496 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 g when four letters picked without replacement from {v: 3, q: 4, g: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1701\/(-405))\/((-14)\/50).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = -3*h - 6, u - h - 5 = 0. Suppose 34*n - 60 = 8. Suppose 20 = -8*o + 3*o. Put u, o, n, 1 in decreasing order.\nAnswer: n, 1, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 57876?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 4. Suppose -3*n + 95 = 5*l - l, 2*l - n = 35. Calculate the smallest common multiple of l and b(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**8)**27*n**(-4\/5)*n*((n*n*(n*n**(-1\/16)*n)\/n)\/n)\/n*n)**46 assuming n is positive.\nAnswer: n**(451053\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*i - 18 = -3*i, -4*t + i + 14 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428647 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114939 divided by -38313.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 23. What is b(14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 291852 divided by -376?\nAnswer: -72963\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 + 0.33. Which is the closest to -1? (a) u (b) -3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6985 + -6816 + (2 - 67)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s - 1. Let h be t(0). Let m be (-3)\/((-9)\/6 - 0). Put 1, m, h in increasing order.\nAnswer: h, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/164386815 and -13\/202260?\nAnswer: 657547260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 8 - 6 + 1.\nAnswer: -4*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + t - 58 = 0, -5*f + 2*t - 14 = -297. Suppose 0 = m + f - 189. Calculate the greatest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 8*z**2 + 7*z + 11. Determine t(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 875, -4, 1\/5, 6\/955, -2.\nAnswer: -4, -2, 6\/955, 1\/5, 875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o - 6479 - 6481 + 19456 - 6489.\nAnswer: -22*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -9. Suppose 0 = -0*x + 3*x - 12. Let l be 1*(x - (2 + n)). Let q(d) = d**3 - 5*d**2 + 5*d - 1. Calculate q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*r - 56. Let d = -46 + r. Which is bigger: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3) - 1)*(-6582)\/(-38395)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - q**2)*(2*q - 3 + 3) + (-2*q**2 + 4*q**2 - q**2)*(-q + 2*q + q) - 3*q**3 + 6*q**3 - q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 135 - 277 = -3*t, 3*t = -5*o + 440. Calculate the least common multiple of 22 and t.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/4 - 1\/4. Let x(g) = g**2 + 5*g + 3. Let v be x(p). Let b be (-2)\/6 - v\/9. Solve 3*t - 3 + b = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3165 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43614 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.9193 minutes in hours?\nAnswer: 3.198655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52619, -52626, -52633, -52640, -52647, -52654?\nAnswer: -52661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiki when four letters picked without replacement from ikiyiiiiiyyiiiii?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 8 + 1 - 11032*s**3 + 12 + 7*s**2.\nAnswer: -11032*s**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - a + 5. Let y be p(0). Let j(r) be the second derivative of r**5\/10 - 2*r**4\/3 + 2*r**3\/3 - 3*r**2\/2 - 102*r. Is 17 a factor of j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 divided by -58.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*j - 1354 = -1040 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-60) + -2)*(3 - 27\/10)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13246100 (base 10) to base 13\nAnswer: 298a23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, 91, 229, 361, 451, 463, 361?\n\"Answer: -6*m**3 + 51*m**2 - 3*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/5 + 29396*c**2\/5 + 176322*c\/5 + 264456\/5 = 0?\nAnswer: -14692, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 + 17.88. Let l = 18.044 - y. What is l rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 775 + 1086. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {o: 1, s: 4, y: 1, n: 1, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**4 - 76*k**3 - 332*k**2 + 76*k + 336 = 0?\nAnswer: -12, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18874 less than 60.062?\nAnswer: -18813.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -41, 0.018, 0.6?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 894*z**7\/7 - 359*z**3\/3 + z**2 + 3033. What is the third derivative of f(y) wrt y?\nAnswer: 107280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.2. Let w = -16.49 - -15.99. Which is the closest to 0.1? (a) -2\/7 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5583056868?\nAnswer: 2, 3, 47, 366631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10 + 4 = -3*t, 5*t - 3*w = 18. Let x be (114\/24 + -4)\/(t\/16). Solve -x*i + 3*i + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.413418 minutes to days.\nAnswer: 0.0482037625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 523 + 242. What is the remainder when y is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-22) - (-6)\/33. Let m be (0 + (-8)\/12)\/(-1). What is the biggest value in m, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344543\/18 + 19146. Calculate the common denominator of h and -20\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21940.82 millennia?\nAnswer: 219408.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 13*n + 26183 = -15*n, 2*m - 10454 = -4*n. What is the highest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**5 + 135*u + 1\/6*u**3 + 55\/2*u**2 + 0*u**4 - 14\/5*u**6 + 0. Find the second derivative of b(s) wrt s.\nAnswer: -1008*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**3 + 3*b**2. Calculate q(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/61, -4, 1\/17, 0.1, 1, -3 in ascending order.\nAnswer: -4, -3, -4\/61, 1\/17, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 + 3. Suppose 14*b = 12*b + 4. Let c(h) = 3*h**2 + 13*h**2 + 3 - 2 - 15*h**b. What is 2*c(f) - w(f)?\nAnswer: -3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 12. Let n be j(0). Suppose 15*a - 30 = n*a + 3*u, -3*a + u = -26. Find the third derivative of a*m**2 - 15*m**3 + 39*m**3 + m - 4*m wrt m.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97077\/22 - 920309\/176. Let z = l + 816. What is the common denominator of z and 27\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 4*p**3 + 7*p + 4 + p**2 - 3*p**2. Let u(s) = 5*s**3 - 2*s**2 + 2*s + 3. Let x(w) = -2*o(w) + 3*u(w). What is x(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*((-2*n - 3 + 3)*(2 - 1 + 1) + 2*n + 2*n - 2*n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*w = 14149 - 34907 - 39302 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + (-26)\/(-8). Suppose -14 = c - 2*c + q*a, -5*c - 5*a = -150. Suppose -3*h - 2 = 2*n - 0, 5*h - 4*n - c = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 2. Let t be d(2). Suppose -4*g - 2*m + 2 = 0, 2*m + 2 = -8. Suppose 0 = t*s + 1 - g, s = -5*c + 846. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4 = -2*x. Let f be 0 - x - (-40)\/5. Let a = f + 1. Solve 2*s - 1 = -a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -435\/85352 (b) -2\/21 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8374250, 8374268, 8374292, 8374316, 8374334, 8374340, 8374328?\n\"Answer: -g**3 + 9*g**2 - 2*g + 8374244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.633662ml in litres?\nAnswer: 0.003633662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(190)*2*1*-1)\/(2*3*(1*sqrt(60))\/sqrt(6)))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*1 + -5)**2.\nAnswer: -60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*a - 133 = 0, -178 = -2*z - 2*z + 2*a. Suppose 28*r - z = 25*r. Let h = 2 - -58. Calculate the greatest common factor of h and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 16) in base 2?\nAnswer: 101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50772522 by -1336119.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -730*n - 141351. Give k(-193).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/299, 0.4, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23717 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 - -1)) + -2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/83, 0, 1\/70, -5?\nAnswer: -4\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364990815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 25322.26 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -29?\nAnswer: 29.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -544, -4325, -14588, -34573, -67520, -116669?\n\"Answer: -540*r**3 - r**2 + 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 4, x: 1, t: 1, e: 4, w: 1}. What is prob of sequence kwt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 9. Let a be f(-12). Suppose -10 = -a*u - 2*u. Let j(x) = x**2 + x - 2. Give j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let z = 132 - 129. Sort s, 3\/2, z in decreasing order.\nAnswer: z, 3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/148304 and 11\/44016.\nAnswer: 407984304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 525937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -4 (c) -0.25 (d) -2\/13 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1853?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (128 + 11 - 16 + 14*y)*(2*y + 3*y - 3*y)*(2*y**2 - y + y) as w*y**4 + b*y**3 + m*y**2 + u + z*y and give b.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 910 - -3596. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0841964 - 0.0844. Round v to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 362 = 3*k, 2*l + k - 3*k - 188 = 0. Suppose 628 + l = 5*b. Calculate the greatest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339411 - -157794.\nAnswer: 497205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1383952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 3*r**3)*(2 + 2 - 1)*(-1445 + 288*r + 1445).\nAnswer: 2592*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 18*x**4\/7 + 83033*x**3\/7 + 70418*x**2 - 106063*x\/7 - 469914\/7 = 0.\nAnswer: -4607, -6, -17\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let y = -50 + 81. Let t = y + -123\/4. Is t greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/88367 and -18\/6613.\nAnswer: 584370971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + 2*z - 36 - 35 - 41.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.1 - -39. Let b = -1.9 - d. Which is greater: b or -1.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*u + 135, 34*v + 5*u - 279 = 36*v. Is v at least as big as -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4393 - 4393 - 12*i - 883*i**2 + 11*i.\nAnswer: -883*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 19 = -5*l, 2*l = 4*c + 3*l - 3. Suppose 1 - 89 = -3*r - c*s, 0 = -2*r + s + 68. Does 32 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p - 183*p - 131*p - 116*p + 103*p.\nAnswer: -354*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3853 + -3894 - (0 - 96).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1225055?\nAnswer: 1225056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 73.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -560.7 + 560.724. What is the closest to -2.5 in -5, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 43598154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 258 - 153. Let r be 6\/4 + p\/(-6). Let v be ((-3)\/r)\/(3\/12). Which is the nearest to 0? (a) v (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135457*g*h - 26734*g with respect to h.\nAnswer: 135457*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-18))\/((-1)\/(-264)). Let n be p\/8 - (-1 + 3). Suppose -2*r - 3*b = -n, r - 9 = -0*b - b. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*u - 4*o, -4*o - 11 = 4*u + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63972481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((6\/(-1))\/36). Let v be ((-4)\/(-8))\/((-2)\/2). Which is the third biggest value? (a) v (b) 0.2 (c) f (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 865732\nAnswer: 1731464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-260))\/((-80)\/2). Is h at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189 + 6 - (-2 - (1 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467574.4kg to grams.\nAnswer: 467574400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29458592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - (13 + -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3131204 + 1455204. Round p to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*x + 2*x + x + 420*x**4 - 2*x**2 + 4 - 421*x**4 in the form d*x**2 + p*x + c*x**4 + y*x**3 + j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482323627.\nAnswer: 2851, 169177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (48 + -48 - (6 + 1)) - -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3422783 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/4 - 4*k**3 - k**2\/2 + 6*k + 13744. Determine o(-5).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37026 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-577*l + 577*l + 91*l**2)*(-1 - 1 - 1) + (-2*l**2 + 4*l**2 + 0*l**2)*(0 + 6 - 4) - 2 + 2*l**2 + 2.\nAnswer: -267*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 3614 - 3614.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112821515 to the nearest integer?\nAnswer: 10622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -18\/13, -2\/19, -2, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2425 divided by 485.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q - 2*q. Let g be (1*(-1 - 4))\/(-1). Let y = q + g. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -13. Let s = -32.3 - c. Let m = -0.72 - -0.92. Sort s, -6, m in ascending order.\nAnswer: -6, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:58 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15))\/(342\/(-855)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**2 - 34. Let u(n) = -7*n**2 + 12. Let z(p) = 6*f(p) + 17*u(p). Let l(i) be the first derivative of 3*i**2\/2 + 16*i - 13. Determine l(z(b)).\nAnswer: 3*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**50\/((o*o**(-3\/11))\/(o*(o\/(o\/(o\/o**(2\/11)))*o)\/o))*o*o**(-3)\/o*o*o*o**2*(o**(2\/3))**(-23) assuming o is positive.\nAnswer: o**(-2087\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-2)\/(-8) - 2. Let j = 50.2 + -169. Let l = j + 119. What is the closest to r in -1.4, 5, l?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199876 + 199876 + 584*s + 2020*s**2 wrt s?\nAnswer: 4040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-4 + 25)) + 6 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 676*i**5 + 3*i**4 - 3*i**2 - 318*i - 100 wrt i?\nAnswer: 13520*i**3 + 36*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 524482 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -n - 3*c + 3, 0 = -2*c - 2. Put 2, 4, n in increasing order.\nAnswer: n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -3\/7, 0.1, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1020*b**2 + 1137*b - 5623066 wrt b.\nAnswer: -2040*b + 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + -3 + sqrt(17)) + (sqrt(17) + 1)*3.\nAnswer: -9 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260519*i**5*u**2 - 24*i**2*u**3 - 540*i + 1309*u**3 wrt i?\nAnswer: -5210380*i**3*u**2 - 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m**2 + 86*m - m**2 - 27*m**2 + 51*m**2 to the form r*m**2 + w + o*m and give o.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:36 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -158823, -635160, -1429019, -2540400, -3969303?\n\"Answer: -158761*o**2 - 54*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 654714 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(90)\/(1*sqrt(9)) - (sqrt(100) - (sqrt(100) - (-2*sqrt(100) - sqrt(100))))\/sqrt(10))\/((2*sqrt(1944))\/(sqrt(48)\/sqrt(4)*-1)).\nAnswer: -4 - 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28282951 to the nearest integer?\nAnswer: 5318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -31, -1\/43, 0.3, -4, -3\/4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57113 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 + 83. Let c = l - 225. Solve -c = -4*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 56*c - 6. Determine r(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -174. Solve -4*d + 2*d - r*l + 4 = 0, 0 = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225 - -227. Find the third derivative of -g**3 - 6*g**4 - g**3 + 11*g**q + 326 - 326 wrt g.\nAnswer: -144*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - ((3*sqrt(304) - sqrt(304) - sqrt(304)) + -5 + sqrt(304))) + -2*sqrt(304)*-1)**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11 + 3*k - 11. What are the prime factors of u(5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 take away 85870?\nAnswer: -86143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*c**2 - 24*c - 16 + 40*c - 16*c wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 64899.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8818*c*k + 66*c - 2*k - 185 wrt k?\nAnswer: -8818*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -75*k**2 - 27*k + 15. Let g(w) = -33*w**2 - 14*w + 7. Determine 3*f(a) - 7*g(a).\nAnswer: 6*a**2 + 17*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132700.\nAnswer: 2, 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4 = -4*i, 104*f - 103*f + 4*i = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u - 840. Let z be q(-35). Is z at least as big as -8\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 3. Let n = 28 - 24. Give l(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 2:32 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072863647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-52)*24\/(-18). Let d = 8 - -73. Let b = 81.1 - d. What is the fourth biggest value in b, c, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 4*y = -2*k - 2, -2*y + 3*k = 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 + 6 = 0. Determine g, given that y - g**2 - 1 - 3 + 2*g + 0 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 55. Suppose k - r*k + 15 = 0. Suppose -2*s = 4*h + 368, 2*s + 286 = -k*h - 2*s. Round h to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(-w - w**2 + w) + w**2 - w**2 + w**2 + 2 + 3*w**2 - 2 + (-2*w + 5*w - 2*w)*(w + 2*w - 4*w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -28*d**2 + 898*d - 59. Let m be h(32). Let j = -15 - -19. Sort m, j, -5, -57 in descending order.\nAnswer: m, j, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -513, 3, -3, 2, 5.\nAnswer: -513, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(4*t + 3*t - 5*t) + 40 - 43 - t + 0*t.\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -57, -103, -151, -201, -253, -307?\n\"Answer: -x**2 - 41*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 901*t**2 - t**3 - 901*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 393208079*h**2 + 0*h + 393207661*h**2.\nAnswer: -418*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26708 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q*z**3 + 45*q*z**2 - 2*q + 100103*z**2 - 9152853*z - 11 wrt z.\nAnswer: 6*q*z + 90*q + 200206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 - -145. Let l = 3864 + -3869. Which is greater: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80095*t + 79394*t + 2804 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-66)\/4))\/((-4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89281921 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 i = -6 + 4. Suppose -4*l + 3*x = -129, -l - x - x + 35 = 0. Let f = l - 65\/2. What is the third biggest value in f, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/3 - 497612*w\/3 - 30952212818\/3 = 0.\nAnswer: -124403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1470312 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183242*n + 183193*n - 3626 = 0 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 0, 4*h + 0*i - 38984 = -4*i. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 77\/(-84) + 10\/15. Put 3, 2, s, 1\/9 in increasing order.\nAnswer: s, 1\/9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1156)\/12 + (2 - 275\/75). Put u, -0.4, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2da?\nAnswer: -2d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110120 (base 3) in base 5?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/42)\/((-28)\/2464)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 1. Let m be f(1). Suppose m = -0*i - 2*i + 6. Sort -5, i, 7 in increasing order.\nAnswer: -5, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-18) - 680\/(-18). Let g = -2 + a. Suppose 4*f - 5*u - 83 = -20, g = 2*f - 4*u. What is the remainder when 22 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 8*g**2 - 6*g + 4. Let j be a(7). Suppose -1001 + 55 = -j*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/1 + (108 - -1). Suppose 3*v - 120 = -2*y - 3*y, -3*v - 2*y + a = 0. Let u = -7 + v. Solve 5*i = i - 4*w + u, 5 = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 10. Let c be f(8). Let q be ((-24)\/(-4))\/(2\/2). Find the third derivative of h**4 + 168*h**c - q*h**4 - 164*h**2 wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyzjmxwzx. Give prob of sequence yxw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2584010796.6 - -73\nAnswer: -2584010723.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -6*q + 2*w + 20, -5*w - 12 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90414*m**3 - 180836*m**3 + 90419*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1862\/(-490) - (-46)\/(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:47 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 8*v**2 + 8*v + 6. Let k be j(9). Suppose -3*g + 0 + 6 = 0. Let b be ((-2)\/(-6))\/(g\/6). Put 0, b, k in decreasing order.\nAnswer: b, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*0\/3. Let p = 0.2058 - 0.3058. What is the fourth smallest value in f, p, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 4595*n**2 - 9170*n.\nAnswer: -5*n*(n + 2)*(n + 917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - 2\/(-6). Suppose -2*r + 5 = -p. Solve r*h = 4*k - 9, -5*h + 5*k - 13 - 2 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(sqrt(42)\/sqrt(6)))\/(-4*sqrt(64)).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*t - 36*t - 31*t)*(2 - 2 + 2 + (-20 - 5 + 3)*(-1 - 1 + 3)).\nAnswer: 240*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i. Let c be o(1). Suppose -3*l + 0*l + 12 = c. Find the third derivative of -u**4 + 7*u**l - 2*u**4 - u**2 wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 14. What is the smallest common multiple of x(5) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 - -161. Determine m so that 638 - 6*m**3 + 2*m - y*m**2 - 638 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 33*v + 192 = 21*v, y - 116*v - 2 = -120*v for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 10*n**2 + 26*n + 20. Give i(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i + 56*i = 32*i - 41280. What are the prime factors of i?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 751 times 2587\nAnswer: 1942837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -461*i**5 - 9*i**2 + 26*i wrt i?\nAnswer: -27660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8738659, -8738664, -8738669, -8738674, -8738679?\n\"Answer: -5*j - 8738654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(12) - sqrt(38))\/(3*sqrt(8)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411987729 is divided by 6622?\nAnswer: 6621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 32 = -3*b, 6035*b - 6040*b + 62 = h for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.763739ms?\nAnswer: 763.739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/52 + 10\/(-234). Is r >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*l + l. Suppose 122 = 2*v + 4*b, 25*b - 21*b + 73 = v. Let h = v - 63. Solve h*c + 22 = 4*n + n, 2*n = c + l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 2*l - 20 = 0, 4*l = -4*y. Let x(s) = -2*s**2 + y*s - 2*s - 2*s. Let v(d) = 0 - 1 - 8*d**2 + 1. Determine v(x(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*270\/(-108).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Suppose 0 = -b - 5 + 3. Let d be 1\/(-1 - b)*6. Let p(q) = -3*q**2 + 2*q + d*q**2 - 2*q. Calculate a(p(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a factor of 401654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065263 less than -603794937?\nAnswer: -603794937.065263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - -69. Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -24. Let v = n + -5. Let q(y) = y**2 - 2*y + 1. Let t(f) = -3*f**2 + 7*f - 4. Let x(b) = v*t(b) + 21*q(b). Factor x(k).\nAnswer: 3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 25, 1\/69063, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(10\/7))**(-14) assuming i is positive.\nAnswer: i**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 93154*q**2 + 35. Let u(b) = 10*b**2. What is w(u(s))?\nAnswer: 9315400*s**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23550 and 2480286?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 25. Let c(t) = -6*t. Let r(s) = 7*s. Let h(g) = x*r(g) + 6*c(g). Let k(y) be the first derivative of -y**3\/3 + 120. What is k(h(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5589211 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iin when three letters picked without replacement from {i: 3, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 98, 176, 17 in decreasing order.\nAnswer: 176, 98, 17, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = 3*g. Let d(c) be the second derivative of c**5\/20 + c**4\/2 + 7*c**3\/6 + 6*c**2 + 15*c. Let j be d(g). Solve -j*u = -3*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/(-40)*(30\/72)\/((-1)\/4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c + 69 = 3*j, -j + 19 = -2*c. Solve 3*r + 12 = 0, 36*d = j*d + 5*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h + 6 + 4*h**2 - 3*h**2 + 6. Let q be u(9). Which is the second biggest value? (a) q (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnaaannknkknkn. What is prob of picking 1 a and 1 n?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 59*k**2 - 6*k - 8. Let f(c) = -1. Let m(o) = d(o) - 4*f(o). What is the remainder when m(-1) is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 101*f + 784. Calculate x(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3700?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/24 - x**3\/2 - 5*x**2. Let l be w(-7). Solve j + 9 = l*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -0.009787802.\nAnswer: -1.009787802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*a = -36*a + 244 - 872 - 587 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/(-108) + 11\/3)\/((-9)\/12)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y**5 + 104*y**4 + 138*y**3 + 36*y**2 - 16*y = 0. What is y?\nAnswer: -4, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.035 + 5.065. Let j = m + -0.1. Let l = j + -6. Put l, 4, -0.4 in decreasing order.\nAnswer: 4, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let n(i) = -i**3 + i**2 + 3*i - 1. Calculate the remainder when v is divided by n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 44*b**2 + 42*b - 190. Determine m(-45).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -154*u - 157*u**5 + 308*u - 156*u + (3*u**3 + 0*u**3 - u**3)*(-u**2 + 2*u**2 + u**2).\nAnswer: -153*u**5 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Factor -3*a - c*a**3 - 1 - 2*a - 7*a**2 - a**3.\nAnswer: -(a + 1)**2*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942501?\nAnswer: 11, 176591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2192*h - 1711*h - 1 + 761*h + 79*h.\nAnswer: -3063*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 621863, 2487436, 5596725, 9949730, 15546451, 22386888, 30471041?\nAnswer: 39798910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:29 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + (-9 - (-8 - -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*r = 19, -17*r = -y - 13*r + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a + 8*a - 28*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -27. Let i be 18\/a - 4\/(-14). Let k(q) be the second derivative of -q**5\/4 + q**4\/6 + q**3\/6 - q. Calculate k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.3 - 27.5. Which is the second smallest value? (a) 2\/7 (b) l (c) 1.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 10*t = -3*k + 62, -4*k + 4*t + 8 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -1001001111?\nAnswer: 1001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 4*y = 12, -2*q = 5*y - 21. Suppose 0 = -5*z + 12 + q. Let t be (-264)\/702 + 2\/9. Put t, z, -3 in ascending order.\nAnswer: -3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752790 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 116809 less than -1.85?\nAnswer: -116810.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 7. Let h be b(6). Suppose -h*d + 16 = -d. Suppose -2 = -d*k - 2*u, -5*k - 4*u + 5 = u. Solve k*m - m = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 5 - 4*g + 3*g in the form i + p*g and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 41*t**2 + 23*t - 104. Let d be m(-8). Do d and 2336 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35711906 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 1434*m**3 - 10209*m**2 - 11640*m.\nAnswer: 3*m*(m - 8)*(m + 1)*(m + 485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - (22 + -19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**5\/30 + k**4\/4 + 6*k**3 + 71*k**2 - 9*k - 5. Let p(d) be the first derivative of m(d). Solve p(t) = 0 for t.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48402.78ng to tonnes.\nAnswer: 0.00000000004840278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Let p = -134 - -137. Calculate the lowest common multiple of m and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*4)\/((sqrt(36)*-2)\/sqrt(4)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 2. Let q be c(2). Let r(a) = 7 + 6 - 17 - 2*a - 29*a**3 + a - 13*a**2. Let l be r(q). What is l rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -288604 and -5.\nAnswer: -288609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 69 = -22*m. Suppose 5*s = -2*i + 135, -4*s + i + m = -39. What is the remainder when 294 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1654997\/18 + -169325\/2. Find w such that -64\/3*w**2 - 2048\/3*w - p - 2\/9*w**3 = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.02 (c) -0.34 (d) 5 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnin. What is prob of sequence nnni?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-60))\/(-13)*3\/((-6)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rljzzzg. Give prob of picking 1 j and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -402, -4, 1, 12 in increasing order.\nAnswer: -402, -4, -3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 61 = 16. Let f be (d\/(-6))\/((-12)\/40). Let j = -950 - -949. Sort f, j, 21 in descending order.\nAnswer: 21, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let n be i(1). Suppose 0 = -2*f + 1 - 13. Is (-6)\/f + n + 83 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g - 474 + 2*g**2 + 153 + 162 + 156 to m*g + b*g**2 + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -379 (c) 2 (d) -1\/8 (e) -1\/3 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32662 divided by -7\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7*-1*-4)\/(22 - 20). Suppose 4*m - 252 = -h*m. What is the greatest common factor of 238 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-2 + 2) - -5 - -7) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -267*o + 197. Let j(x) = -x. Let q(b) = j(b) + s(b). Is q(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1872)*5 + 2*sqrt(1872)*2)*6 + -2*(2 + sqrt(1872) + -1)*3.\nAnswer: -6 + 936*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**3 - 13*u**2 + 33*u + 13. Let r(g) = 3*g**3 - 6*g**2 + 16*g + 6. Let s(i) = 37*i + 394. Let p be s(-11). Determine p*r(f) + 6*x(f).\nAnswer: 3*f**3 - 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013*v + 3962*v - 2054*v - 6405 = 0 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 45 = 2*p. Let z be (-4)\/4 - 5\/(-1). Solve z*m - m = p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:15 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1844.5 + 1845. Let m be (5\/(-2))\/((-1)\/(-2)). What is the smallest value in b, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.4 + 1.4. Let c = -0.79 + 1.19. What is the smallest value in c, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5208 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*8\/2. Let m(a) = -9*a**k + 6 - 6. What is m(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000655908 rounded to 7 decimal places?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -52278.\nAnswer: 14\/26139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4340626 from -16.\nAnswer: -16.4340626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 n when three letters picked without replacement from tknzknqnnnnqkqnnqtkn?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 290348 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 20 - (3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/20)\/((-2496)\/(-1280)) + 2\/2.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*g**2*p*x**3 + 88*g**2*x**3 + 2*g*p*x**2 - 5*g*x**2 - 2*p*x**3 + 8*x wrt g?\nAnswer: 26*p*x**3 + 176*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10)*v*v\/(v\/(v\/((((v*v**(2\/13))\/v)\/v)\/v))))\/((v\/v**16)\/(v*((v**28\/v)\/v)\/v*v*v)) assuming v is positive.\nAnswer: v**(479\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - s + 2 = 0, 2*s - 5 = -4*y + 11. Suppose -4*o - 546 = -f, 5*f + 7*o - y*o = 2751. What is the greatest common divisor of 100 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.278 * -0.001.\nAnswer: 0.000278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40653*x + 75244 wrt x?\nAnswer: 40653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -690 - -702. Solve -96 = -u*h - 144 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4152*a + 156525 = -22011 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*n**3 - 131*j + 8*n**4 + n**3 wrt n.\nAnswer: -6*j*n**2 + 32*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21421 is divided by 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430 - -379. Let d be h\/(-9) - (-5)\/15. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55827 by 6203.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 16112?\nAnswer: 48336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -3*h + y - 99, 4*h + 2*y = -248. Let s = 71 + h. What is the greatest common factor of 135 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 6*u + 5. Let c be g(-2). Let i be 10*6*c\/(-12). Find the second derivative of -455 + 455 + i*d**5 - 4*d wrt d.\nAnswer: 300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(-3 - 685\/(-230)). Is (t - -167) + (2 - 6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a - 20*a + 1245 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1776 and 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:49 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 2*t - 220. What is the highest common factor of 96 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 453, 1800, 4053, 7218, 11301, 16308?\n\"Answer: i**3 + 447*i**2 - i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/((-962)\/222 + 3 + -2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -7*x**3\/6 - 4*x**2 + 62*x. Let r be n(-1). Which is the third smallest value? (a) r (b) 0 (c) -1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41279728 or 41279729?\nAnswer: 41279729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 16*t**2 + 18*t + 13. What is c(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124458478*d**3*t - 537*d**2*t - 7*d**2 + 6*d*t - 20*d + 3*t - 3 wrt d.\nAnswer: 746750868*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 18. Let n be (-18)\/15*-3*(-10)\/(-9). Solve -n*r = 4*d, x*r = 3*d + r + 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 4*n - 6*n + (5*n - 66 + 66)*(-3 - 2 + 7).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a kilometer in meters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 40) + (-12 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21578*n**3 + 183*n**2 - 183*n**2.\nAnswer: -21578*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -5, 374032 in decreasing order.\nAnswer: 374032, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -9. Suppose -184 - 106 = -p*n. Round n to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208012 and 557396?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6417 = -i, -q - 16*i = -14*i + 3204. Is q equal to -3210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 48 = 4*q, 4*q = 4*f - 100. Let b = 2 + f. Let s = 48 - b. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*b - 1\/4*b**4 + 11*b**3 - 121*b**2 = 0 for b.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 434718531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + 4*s - 49. Let t be j(0). Let v be (-140)\/t - (1 - 8\/7). Solve 0 = 4*r - z + 2 - 27, -3*z - 30 = -v*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47817 - -47836. Suppose -153 = -3*l + 3*n, 0 = -l - 3*n + n + 54. Calculate the remainder when l is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-5)\/2)*(-12)\/(-90).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 4*m - 4 = 0, t - 3 = -m. Solve -5*l - t = -3*v + 5*v, -l = 5*v + 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -78637?\nAnswer: 1\/6049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.1 - -24. Let u = 7 - t. Let b = -2\/13 + -20\/39. What is the nearest to u in 2, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Let u = p - 6. Do -2 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from iqkkfdqsqkqiqkqkkqd?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -9*k - 14774, 3*k = -8*d + 6*d + 14750. Is d a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47.38 + 48.38. Let q = 0.6 + -0.2. What is the nearest to 0 in 1\/8, q, v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1123 divide 83152223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 0*x**2 + 83*x + 319\/3*x**3 + 140. Differentiate f(k) wrt k.\nAnswer: 638*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181135973?\nAnswer: 11243, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -100\/23 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 27. Let i be m(9). Suppose -11*z - 11*z + 2*z = i. Solve v - 1 + 17 = -4*a, -5*a + 2*v - 33 = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*x + 136, 193*x - 192*x = a - 43. Calculate the greatest common factor of a and 14235.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451210913 to the nearest integer?\nAnswer: 21242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = -5. What is the third derivative of u*j**5 - 2*j**2 - 16*j**5 - 7*j**2 wrt j?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*2*(2 + (sqrt(486) + -1*sqrt(486))\/(sqrt(3)*-2*-5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (-4 + -1*sqrt(5)) - (sqrt(320) + (sqrt(320)*2 - sqrt(320)) - sqrt(320))**2.\nAnswer: -316 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (12 + -7 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8030214 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19.3 and 49049357.\nAnswer: 49049337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -78*w - 12647. Calculate a(-162).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, 37, 4 in ascending order.\nAnswer: -4, 1, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f**4\/4 - 51*f**3\/2 - 393*f**2\/4 - 138*f - 36 = 0. Calculate f.\nAnswer: -4, -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) 0 (c) -16 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892072.6 tonnes to milligrams.\nAnswer: 892072600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:59 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129625 is divided by 43202?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 k when three letters picked without replacement from kkxxxbxxbkkkmkmkbxx.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/484?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 149494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 - k + 11. Let y(n) = 7*n**2 - n + 12. Let h(t) = 3*j(t) - 2*y(t). Let u be h(5). Let x = -61 + u. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j - 129*j - 10 - 307*j.\nAnswer: -417*j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 3*w + 2*w)*(252 - 252 - 58*w) as j*w + y + n*w**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from qqqqwqwwwwqqqqwwqqq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1400, -4954, -10878, -19172, -29836, -42870?\nAnswer: -58274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010 (base 3) to base 6.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -0.06, -1\/20, -3 in ascending order.\nAnswer: -3, -0.06, -1\/20, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8605 * 5.\nAnswer: -43025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 2*u**2 - u**5 + (2*u - u**3 - 2*u)*(3*u**2 + u**2 - 6*u**2) + 6*u**5 - 9*u**5 - 38*u**5.\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 5330099*b + 5330099*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2119856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36510396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 7*g**3 - 3 + (-3*g**3 + g**3 - g**3)*(-4 + 1 + 2)*(-1 - 3 + 3 - 1 + 5 - 3 + (7 - 4 - 1)*(-35 + 17 - 37)) to w*g**2 + m*g + u*g**3 + z and give u.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1)\/((-9)\/21))*(-336)\/(-3080)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148396 times -0.5?\nAnswer: -74198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2926\/(-77))\/(2*2\/8). Let j = b + 378\/5. Let g = -5.4 - -1.4. What is the closest to j in g, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 580280 and 7824?\nAnswer: 3481680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159114*d**2*o + 1384*d**2 + 16663*d*o - 116*d - 3*o wrt d?\nAnswer: -318228*o + 2768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -155*v - 1251. Calculate w(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, 8 in decreasing order.\nAnswer: 8, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*u - 749*u + 720 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 - -30.16. Let o = j - 30.3. Let n = -5 + 5.2. Sort o, -1, n in decreasing order.\nAnswer: n, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.278 * -1.577\nAnswer: 0.438406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33944 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - 6*-1*sqrt(70))\/(1*(sqrt(160) - sqrt(10))) + -2 - ((sqrt(63)\/(sqrt(36)\/sqrt(4)) - (sqrt(14)\/sqrt(2) + 1)) + -1).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*-1*6 + 0 - (-5 + -5*(sqrt(405)*-2 - sqrt(405)))) + 1)*5 + 3.\nAnswer: -945*sqrt(5) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(6534))\/(sqrt(16)\/sqrt(2)).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwggwwx. What is prob of sequence xw?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/2 - 7007*k**2 = 0.\nAnswer: -14014, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57650080 and 5910.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 185 = 146. Solve -r*y - 8*p = -7*p + 20, -25 = 3*y + 2*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 3. Let r(p) = 10*p + 18. What is -5*g(a) - r(a)?\nAnswer: -5*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b19394 (base 12) to base 11\nAnswer: 1625154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9773282*f**2 + 66062*f + 10?\nAnswer: -19546564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -29. Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-2)**2 + sqrt(405)*2 - ((1*sqrt(5)*-3)**2 - (sqrt(500) + -2)).\nAnswer: 28*sqrt(5) + 1953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 2 - (-46 + 58) - -46\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -7*m**4\/12 + 11*m**3 + 174*m**2 + 4*m + 1. What is v(12)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 14) in base 6?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 7*s**2 - 6. Determine g(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -0.2. Let f(i) = -2 - 2 - 12 - 220*i - i**2 + 207*i. Let p be f(-11). Sort 2, p, y, 2\/5 in descending order.\nAnswer: p, 2, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let f(z) = 6 + 6*z + 3*z**2 - 7*z**2 - 4*z**2 + 6*z**2. Let r(j) = -j - 1. What is u*f(l) - 6*r(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 1 + sqrt(242) + (0 + sqrt(242) - sqrt(242))*-4 + 3)**2.\nAnswer: -246 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -2) + -2 + 13. Let f(m) = -4*m - m + 3*m - i + 11. Determine f(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.657866 milligrams to micrograms.\nAnswer: 1657.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwwn when four letters picked without replacement from nwnnnwnnnn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q\/((q\/(q\/(q\/q**(-2\/11))))\/q)))*q**(-2)*q*(q**(3\/8)\/q)\/q**(-2\/7))**35 assuming q is positive.\nAnswer: q**(1475\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464056 is divided by 9464?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 7*d + 488. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)*s)**(-5\/6)*(s**(-1))**(12\/17) assuming s is positive.\nAnswer: s**(-301\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbssbb. What is prob of picking 2 b and 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = 17. Let v be (-5 - -8) + -2*1 - s. Find the third derivative of 21*b - 10*b + 29*b**3 + 29*b**v - 11*b wrt b.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19539*o - 3204401. Determine u(164).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 divided by 8012?\nAnswer: 405\/8012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -7, -288, 297 in decreasing order.\nAnswer: 297, 1, -1, -7, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 109, 229, 409, 655?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + -2*sqrt(1100) + -2)*4 + ((3*(sqrt(110) + -2*sqrt(110) + sqrt(110)) - sqrt(110)) + sqrt(110))\/(sqrt(40)*2) + -3)**2.\nAnswer: 880*sqrt(11) + 17721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23516*f**2*w**4 - 2*f**2*w**2 + 3105*f**2 + 6*w wrt w?\nAnswer: -282192*f**2*w**2 - 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q. Let s(y) = y + 1. Suppose -x - 5 = -0. Let k(o) = o + 1. Let t(i) = x*k(i) + 4*s(i). Determine r(j) + 2*t(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9572434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2626811 - -3795622. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 554, 1104, 1650, 2192, 2730?\n\"Answer: -2*j**2 + 556*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286626525?\nAnswer: 3, 5, 3821687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lws when three letters picked without replacement from {l: 1, t: 2, s: 2, b: 1, k: 1, w: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1635 = -2*s - 449. Let d(x) = -1224*x + 565*x + s*x. Let m(t) = -2*t. Calculate d(m(r)).\nAnswer: 132*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 674 + -661. Is 3 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 4. Suppose -2*y = -0*y + 3*a + 13, 0 = -16*y + 2*a + 78. Calculate the remainder when t is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40398, 40231, 39956, 39573, 39082, 38483?\n\"Answer: -54*f**2 - 5*f + 40457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.5. Let p = -271\/2040 - -2\/255. Let k = -0.01 - -2.01. Which is the closest to 3? (a) p (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(15\/4)\/j)\/j)*j)\/j**(-2\/27) assuming j is positive.\nAnswer: j**(35\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -95. Let o = 6023 + -6107. Let p = o + g. Which is the biggest value? (a) p (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718152 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 + 18*y + 5. Let q(m) = 5*m**2 + 19*m + 5. Let h(c) = -4*o(c) + 3*q(c). What is the units digit of h(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 712, 1412, 2102, 2782, 3452?\nAnswer: 4112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442436628 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9283575487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95504 divided by 9468?\nAnswer: 23876\/2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*j**3 + 1209*j**3 - 603*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 413000656 - -2?\nAnswer: 413000661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3 - 1926*f**3 - 3*f + 1921*f**3 - 1. Let i(l) = -l**3 - l - 1. Determine 6*i(o) - 2*z(o).\nAnswer: 4*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -4. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + l + 145 + 123 = 0, 0 = -2*f + 3*l + 102. Let a(j) = -j**2 - 15*j - 8. Let h be a(-13). Calculate the highest common factor of h and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 80. Let i be p*(3\/2)\/1. Let c = i - 20. What is the least common multiple of c and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570) - (-5*3*sqrt(570) + sqrt(570)))\/sqrt(10))\/(2*(sqrt(3) + sqrt(243)*1)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*l**2 + 1)*((6*l - 21*l - 11*l)*(2 - 2 - 1) + 0*l + 2*l - l + (2 + 1 - 5)*(4*l + 0*l - 2*l)) to the form x*l + o*l**2 + t*l**3 + f and give t.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 71 - 33 = 0. Let m(r) = -r + 2. Let l be m(0). Suppose 3*i - 9 = 0, 14 = -k*f - 3*f - l*i. Put f, -5, 0 in decreasing order.\nAnswer: 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 7*c**2 + 27*c - 2. Let v(b) = b**2 + 9*b - 1. Calculate -2*k(s) + 6*v(s).\nAnswer: -2*s**3 + 20*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 77095771 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/5 - 19*v**4\/5 + 69*v**3\/5 + 171*v**2\/5 - 702*v\/5 = 0 for v.\nAnswer: -3, 0, 3, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28308420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 - 9 = -3*q, -q = -2*j + 3. Suppose 0 = -j*h - 0*h + 8022. Suppose h = 7*r + 14*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 359*o - 362*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.05237 + 0.5\nAnswer: 0.44763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*b + 207*b - 1134 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -14. Let k = i - 9. Factor -4*h**2 - 5*h**2 + 1 + 8*h**k.\nAnswer: -(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18423*7.2.\nAnswer: -132645.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 27. Let v = 97 - o. Let t = -83.3 + v. What is t rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**2)\/(z**(1\/2)*z))**35\/(((z\/z**(-1))\/z*z)**(5\/2))**(-45) assuming z is positive.\nAnswer: z**(555\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -7 (c) -2 (d) -116662\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -1925.\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -713 in 3\/16, -1\/2, 0, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*2*-6 + ((1 + sqrt(3) + 1)*3)**2.\nAnswer: -96*sqrt(3) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 101 + 37. Let k(z) = z**3 - 3*z**2 - 3*z - 5. Determine k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49968157 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) + (-1088)\/(-24). Let g = 67 - d. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213184 a multiple of 677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*y - 2. Let v = -21 + 37. Calculate the least common multiple of y and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78607.711 to the nearest ten.\nAnswer: -78610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*i**2 + 47*i**2 - 10*i**4 + 2*i**4 + 3*i**2 - 3*i**2 - i**4 + 2*i**2 - 2*i**2 + (2*i**3 - 4 + 4)*(7*i - i - 4*i).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2741 is divided by 214?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2236 and 8294.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2497593, -4995135, -7492677?\nAnswer: -9990219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, -290\/9, -4 in decreasing order.\nAnswer: 18, -4, -5, -290\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -885\/1424?\nAnswer: -885\/1424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155758507 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3001935820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -166?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/3 (b) -5\/6 (c) 3115 (d) 2 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g**3 - 3*g)*(-3*g + 6*g + 7*g) + (0*g + 0*g + g**3)*(g - 2 + 2) - 10*g**4 - 3*g**4 + 24*g**4.\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s**2 + 1947*s - 1931. What is m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11835649 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/425 and 21\/850.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(425) - (sqrt(425) + 0)) + sqrt(425)) - (1*sqrt(204)*-2)\/((sqrt(12) + (sqrt(12) - sqrt(192)))*2))**2.\nAnswer: 328*sqrt(17) + 28833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1981496 or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/63 - ((-16)\/6 + 1). Let r(h) = 7*h**2 + 8*h - 14*h**2 + 8*h**a + 1 - 3*h. Give r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 21 - 1 = -3*y, 0 = 2*y - 8. Let n = -3 - q. Let b be (8 + -5)*(n - -2). Solve b = -3*s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*y + u + 4, -5*y + 68 = 2*u. Let f be y*(4 + -6)\/(-4). Differentiate -4 + 8*h - f + h + 3*h with respect to h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195 - -189) + (-2 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 762, 761, 760, 759?\n\"Answer: -l + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*u - 2 = -5*x, 8 = 4*u. Let v = x + 5. Suppose -3*a - 77 = -5*d + 70, 4*d - 100 = -v*a. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9aa - 34bb?\nAnswer: -3e65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3*z - 6 = 0, 3*h + 107*z - 111*z = 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14552 - 14554. Sort p, -1, 607, 5, -5 in decreasing order.\nAnswer: 607, 5, -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22625 + 22630. Solve 2*n = -2, -n - z = -s + 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bukbnubbkud. Give prob of picking 2 u, 1 d, and 1 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103695 divided by -20739?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1257 = -5*u + 4*u + 5*f, 4*f = 5*u - 6306. What are the prime factors of u?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*k - 58, 1307*a + 12 = -4*k + 1305*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*u - 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 20, -14, -84, -202, -380?\n\"Answer: -2*f**3 + 4*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(0 + 1 - 2) - 11 + 16 - 12)*(-m**4 + 2*m**4 + 0*m**4) + (-m**3 + m**3 - m**3)*(3*m + m - 3*m) - 2*m**4 - 5*m**2 + 5*m**2.\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 244823549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1008, -4, -10, 3.\nAnswer: -10, -4, 1, 3, 1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36786, -36861, -36986, -37161, -37386, -37661, -37986?\nAnswer: -38361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6 - 80. Let w be 4 - (-2 + 9\/3). Suppose -w*p + 2*d + 149 = 0, p - 3*p + 4*d + j = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(15128\/(-19))*-2. Let z = -5196563\/18910 - s. Let q = z + 276. What is the common denominator of 40 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2794\/5063 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*1*-5 - 2*sqrt(76)*1.\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -34 - 0. Suppose -2*q + 5*d + 289 = 0, m*d - 371 - 72 = -3*q. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -836 divided by 3\nAnswer: -836\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yufuuayuuyauyfuufuy. What is prob of sequence uyf?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5*l + 42 = 4*f, 2 = 2*f. Calculate the smallest common multiple of l and (-2*1 - -6)*5.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/4*6*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 141*b**2 - 3*b**3 - 5*b**3 - 91*b + 9*b**3.\nAnswer: -2*b**3 + 141*b**2 - 91*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(0 + -58). Let d = -1 + v. Let f be 8\/d - (1 - 1). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -3*c**6\/40 - c**5\/30 + c**4\/8 - 22*c**2. Let r be j(2). Let f = r - -82. Calculate the highest common factor of f and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:17 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748*n + 213444 = -682*n. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-4*r**2 - 4*r**4 + 4*r**2 + (4*r - r**3 - 4*r)*(-r - 20*r - 36*r)).\nAnswer: -53*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (45\/50 - 0)\/((-34470)\/(-3064))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (96\/6)\/(3 - 1). Let y be (-18)\/27 - (-8)\/3. Suppose -5*w = 4*c - 20, 5*w = 4*c - 5*c + 5. Solve c*x - b = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0008 - 0.6932. Round o to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Let y = -31 + 46. Solve -5*m + 2*m = -a*t - y, 4*t = -4*m + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:57 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -5, 1\/20, 58\/11 in ascending order.\nAnswer: -5, 1\/20, 2\/19, 58\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57705394781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:26 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b - 29. Give u(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7318336 times 0.08\nAnswer: 0.058546688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -22 - 0 - (-76 + 190)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/4 + 6)\/((-2)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 110?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177444 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 596*b**3 - 43802*b**2 + 89400*b - 45000.\nAnswer: -2*(b - 1)**2*(b + 150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(1377) - sqrt(1377)) + 3 + (-3 + sqrt(1377))**2)*-2*3*4.\nAnswer: -33336 + 2808*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -12. What is the remainder when 32 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(24)\/sqrt(8)) + -1 + sqrt(133)\/sqrt(7)*5 + 2)**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.089 - -1.489. Which is the closest to 2? (a) z (b) 4 (c) -1\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1267570*i**5 - 2*i**2 + 396351*i?\nAnswer: 76054200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9 (b) 0.121 (c) 1 (d) -1\/7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 302*l**3 - 2127*l**2 - 3*l - 84535917?\nAnswer: 906*l**2 - 4254*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Suppose a + 3*u + 61 = 2*a, -199 = -3*a + o*u. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (-2 - -1) - (14506 + -14523).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 - ((0 - 2) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*r + 14. Let j = -15 - r. Let v = 8 + j. Solve 0 = b + b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4319?\nAnswer: 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6574 divided by 25?\nAnswer: -6574\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16276 + 728163. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 14*b + 156. Sort -2, b, 1, 6 in ascending order.\nAnswer: -2, 1, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1288 = -6*l - 1210 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 862572518 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 88.704. Let i = 0.026 + g. Let n = -1.73 + i. Which is the second smallest value? (a) -9 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*a + 15. Suppose 0 = -z + 2*z - a. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15669*m - 15656*m - 15646*m + 46973*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7071445 and 25?\nAnswer: 35357225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-40 + (0 - -5)))\/1. What is the thousands digit of (-10)\/25 - (-49364)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -0.152 (c) 1 (d) -5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 421. Is 54 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*s**2 + 2*s - 2*s + (-s + 3*s + s + 0 - 2*s + 0 + (0*s - s - s)*(1 - 3 + 1) + 1 + s - 1 + 2 + s - 2 - 6*s + s + 4*s)*(-s + 2*s + s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/2*(-2)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 62*s - 480. Determine y(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14523661?\nAnswer: 17, 854333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*g + 11 = 0, 4*j + 2621*g - 874*g - 19 = 877*g + 879*g for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2. Let w(q) = 2*q + 1. Let t(h) = 70 + 37*h - 36 + 6*h - 13 + 5*h. Let k(i) = 6*t(i) - 126*w(i). What is a(k(m))?\nAnswer: -7776*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k + 6. Let d be (-1)\/((-14)\/6) - 24\/((-2184)\/325). Let r(o) = o + 1. Determine d*r(g) - l(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(138\/(-15))\/(-4 - (-240)\/50). Solve 5*c - 13 = -a, -2*a - 13 = -26*c + q*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1189 = -28*g + 211. Let k = -525 + 800. What is the greatest common divisor of k and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.82 + -48. Let k = -140\/411 + 1\/137. What is the closest to k in -0.2, -5, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11615314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125967350?\nAnswer: 2, 5, 2519347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + y = -1827, 1089 = -10*n + 7*n - 3*y. Let v = n - -403. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(-3\/7)\/f)\/f))\/(f*f\/f**(3\/7))*((f\/(f\/(f**(-2\/13)\/f)))\/f)**(-35) assuming f is positive.\nAnswer: f**(6938\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (154\/42)\/(2\/12). Let j be (-228)\/285*(-10)\/4. Solve 3*q - m = 4*r, -3*r + j*r - 5*q + 6 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-6)\/21)\/((-96)\/(-84))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -23 (b) 1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24387099?\nAnswer: 3, 11, 739003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048159*o + 1048080*o = 5609 for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26167 - 12031. Is 248 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -17.4\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -5 (c) -2\/9 (d) -47145 (e) 0.22 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1)*7\/6. Let j be (-1)\/x - 7073\/77. What is j rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 3 + 3 - 2*m**2 + 4*m**2 + 2*m**2 + (-1 - 2*m + 1)*(0*m - 2*m + m) + (-3 + 1 + 6)*(-2*m**2 - m**2 + m**2).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w. Let d(a) be the second derivative of 0 + 0*a**2 - 1\/6*a**4 + 2*a + 0*a**3. What is d(s(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136.4 + 204. Let c = j + -32.9. Let t = -35 + c. What is the smallest value in 0.2, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19478\/12 + (715\/66 - 11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 2*t - 2. Determine y(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 143, 282, 423?\n\"Answer: s**2 + 134*s - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7 - -1.6. Let o = a + 0.3. Let i = 88 + -88.1. What is the third biggest value in o, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30209 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 35, -505, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3601*f + 219724. What is x(61)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (14 + -71 - -14)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-230))\/((8\/6)\/((-120)\/36)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 6*p**2 + 7*p. Let i be f(5). Suppose 0 = 2*r - 3*u + i, -5*r - 6 = -3*u + 19. Does 3 divide (-20)\/(-8)*(-66)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 24 = -4*j, 0 = s - 2. Is (-267)\/j - (-6)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.094, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 = 0, -2*r = -0*r - 4*b + 12. Let o(m) = 46*m**2 - 13*m**2 - 17*m**2 + 2 - 3*m - 14*m**2. Determine o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -3, -1, -2200 in decreasing order.\nAnswer: -1, -3, -60, -2200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 2, s: 2, x: 1, f: 4}. Give prob of picking 1 u and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose -3*q = 4*l + 7 + 6, q - 5*l = 2. Let j = -142\/315 + 1\/45. Sort j, q, s in ascending order.\nAnswer: q, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w + 88. Calculate h(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68955938?\nAnswer: 2, 37, 931837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.110953 + -0.111. What is s rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*s = -3*t - 23, t + 3*s - 10 = 0. Let p(w) = w**2 - 4*w. Let f be p(4). Does 13 divide 0 + t + 0 - f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 7, -52 in decreasing order.\nAnswer: 7, -15, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2. Let g(n) = -3*n**2. What is s(g(b))?\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 165877529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-14))\/((360\/(-126))\/20). Let b = 318 - -978. Calculate the highest common divisor of v and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 8. Let g = -1 - -1. Let w be k(g). Suppose 0 = 3*v - 2*j - 17, 3*v = j + 12 + 7. Solve r + w = 3*i + 2*r, -v = -2*i + r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**3\/3 + 5*f**2 + 20*f + 6. Let y be u(-9). Find the second derivative of 3*v**5 - 8*v**5 - y*v - 2*v wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155651 (base 7) in base 15?\nAnswer: -9222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(2034\/2260)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -66. Let d(r) = -16*r + 32. Let g be d(p). Which is bigger: g or -9\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0146 - 0.0526. What is the biggest value in 2, l, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51039 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 132790 - 2*k**3 + 132790.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 1594 - 226 = 0. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 6*j**3 + 2 + j - j**3 + 3*j**3 to i*j + s + r*j**3 + z*j**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = q + 5*n, -10452*n = -19*q - 10453*n + 60 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377.99 nanometers in millimeters?\nAnswer: 0.00237799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6079 is divided by 713.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r**2 - 7*r - 25. Let i(x) = 34*x**2 + 15*x + 47. Let n(t) = 7*d(t) + 4*i(t). Give n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 37885.\nAnswer: -1\/37885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g + 7*g + 4 - 4. Let c(x) = -94*x**2 - 98*x**2 + 189*x**2. What is c(i(f))?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 13*h + 14. Let o be q(-6). Suppose 0 = p + a - 5, 0 = 4*a - o. What is the greatest common factor of 39 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 12*d + 8. Let i be k(8). Let w = 59 + i. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 808*u + 16. Let i be d(4). Suppose 10*y = 17*y - i. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**(-1\/3)\/p))\/p*p*p**(-2\/11))**(-25))**(-49) assuming p is positive.\nAnswer: p**(127400\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 5375*w - 64581. What is l(-12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-40) + (-11)\/20\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16662*m**3 - 8321*m**3 - 8352*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*w**2*z - 57*g**2*w**2 + 50*g**2*w*z**2 - 7338*g*w**2*z**2 + 8*g*w**2 + 101*w*z wrt z?\nAnswer: 100*g**2*w - 14676*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (274 - 826 + 10)*(-3*r + 46 - 46) to the form v + d*r and give d.\nAnswer: 1626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:46 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13316 * 4.\nAnswer: 53264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - p + 4. Let h be m(-4). Let u = -37 + h. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.45 + 0.05. Let v = 8.5 + b. Let r = -3 + v. Is -0.2 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -5*v, 9*y - 4*y + 5*v = 20. Let b(m) = -m**3 + 6*m**2 - 7*m - 6. Let a be b(y). Solve a = -5*z + 6*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29054662 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -8) + -1 + -11. Let q be (-3)\/15 - 32\/a. Differentiate 2*u**2 + q - 2*u**3 - 2*u**2 + 3*u**3 with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -54, -200, -488, -966?\n\"Answer: -8*h**3 + h**2 + h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.15 + -2.15. Let z = 3 - 2.9. Which is the nearest to g? (a) z (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-52))\/(3\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*w = 158, -2*w = 5*y - 354 - 65. Suppose -144 = 3*l + 4*v - 30, 3*v + 76 = -2*l. Let c = y + l. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**4 + s**4 + 8*s**4 + (s - 1 + 1)*(-642*s + 642*s + 88*s**3) to the form x*s**3 + v + k*s**4 + u*s**2 + a*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1335*d + 362*d + 1968*d + (-4 + 4 - 3)*(-2 + 2*d + 2).\nAnswer: 3659*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 6*f**2 + 13*f + 8. Let c = 223 + -231. Let n be y(c). What is the greatest common factor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29865\/(-297) + 64 - 66\/(-2).\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13361269 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 114.1109607?\nAnswer: 114.6109607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 72*199103\nAnswer: 14335416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1000101000?\nAnswer: 1000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(168)\/sqrt(6)) + -1 + sqrt(80) + -1 - (-4 + 6*sqrt(80)*2 + -5))**2.\nAnswer: -609*sqrt(5) + 38041\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w**3 + w**2 - 4. Let b be -3*(-4)\/12 - -2. Let g be c(b). Suppose 4*r - g - 169 = 0. What is the highest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5291141 divided by 41\nAnswer: -5291141\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + p**2 - 5*p**2 + (p + p - 3*p)*(2*p + 3*p - 2*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(35)*-3)\/sqrt(7))**2 - (sqrt(5) - -1*2*sqrt(5))).\nAnswer: -90 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 5732.\nAnswer: 40124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42067 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Suppose -74*n + 73*n + 49 = 0. Suppose 19*q - 11 + n = 0. Let l(i) = 7*i - 2. What is q*l(c) + 6*v(c)?\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/158, 4, 24.77, -1\/7?\nAnswer: 24.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.9? (a) -5\/3 (b) 176 (c) -2\/5 (d) 0 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 290*v - 307*v - 5 + 6. Let j be ((-18)\/(5 + -3))\/1. Let x(s) = 4*s. Give j*x(b) - 2*t(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**3 - 2*n**2 + 13*n + 14. Give j(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 32*w**2 + 2*w + 74. Let k be 3\/(2 + -5) - -3. Suppose j - k = 10. Calculate the least common multiple of j and h(-32).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -813*j + 320. Is z(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*w**4 + 135*w**3 + 164*w**2 + 2*w - 1 wrt w?\nAnswer: -1032*w + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 570 + 367. Let v be (z\/45 - 1) + 14\/(-63). Factor -v - 2\/5*o**2 - 28\/5*o.\nAnswer: -2*(o + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**7\/21 + x**6\/24 + 7*x**5\/4 - 2*x**2 + 66*x. What is the third derivative of t(b) wrt b?\nAnswer: -240*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**5\/30 + 4*g**4\/9 - 64*g**3\/27 - g**2 + 45*g. Factor o(y).\nAnswer: -2*(3*y - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 92\/23579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -242, -435, -640, -821?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**(-21))**(-17)*(g\/(g*(g*g**0)\/g))**47*g**(-4)*g*g**(-2\/3)\/g assuming g is positive.\nAnswer: g**(1015\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 391, 97\/2 in decreasing order.\nAnswer: 391, 97\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 121 times -25.4\nAnswer: -3073.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and 6019222.\nAnswer: -246788102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2501 + 29*l**2 + 2501 - 26*l**2. Let v(x) = -1199*x**2. Determine v(k(o)).\nAnswer: -10791*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507 divided by 7?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 4 + 3*t + 1 + t**2. Let o be c(0). Suppose y = -h + 20 - 4, 3*h - 74 = -o*y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 642.1944s?\nAnswer: 642194400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a + 8115. Let w be (-3 - -4) + 1\/(-1). Let t be o(w). Let n = t - 81051\/10. Calculate the common denominator of n and 29\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53546*q**3 + 53540*q**3 - 107085*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = a - 13, -z - z = 4*a - 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/12 and -71\/210389960.\nAnswer: 631169880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -5*d + 95, -5*x = -3*d + 49. Suppose -4*t - 24 = -2*y, -3*t = y + 2*t + d. Let r = 134.2 + -134. What is the biggest value in 3, r, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 90) + -4 + (8 - -1 - (-14 - -6)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*w**3 - 3*w**3 - w**3)*(3*w - 2*w + w) - 850*w**4 + 24*w**4 - 90*w**4 to the form z*w**3 + h + q*w**2 + a*w + s*w**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(-25)*(v\/(v**(-2)*v*v)*v)**24 assuming v is positive.\nAnswer: v**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4)*0\/(-26) + (0 - 13)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5\/5 - 9*g**4 + 63*g**3\/5 + 249*g**2\/5 + 144*g\/5 = 0?\nAnswer: -16, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 1 + 7*l + 1 + 0. List the prime factors of y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 40*g = 109*g - 282700. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27808, -111206, -250180, -444712, -694784?\nAnswer: -1000378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.1? (a) 7\/3 (b) 7\/4 (c) -0.3 (d) 21 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, 209, 40\/9, -64 in ascending order.\nAnswer: -64, 40\/9, 134, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 3, -18, 1 in descending order.\nAnswer: 3, 1, -18, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424458 is divided by 1831.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(176)*-6).\nAnswer: -72*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 26. Sort 3, -7, k in increasing order.\nAnswer: -7, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197076 and 1485?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 459041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -3759.\nAnswer: -11277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 62*p + 899. Let r be w(-13). Suppose 8*u - 3*u - 35 = 0. Suppose -u*l = -5*l - 62. What is the greatest common divisor of l and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47520 + 83833. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 37. Calculate the remainder when 24 is divided by -3 + s*-1*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 245*l**2 + 1582*l + 326468. Give r(-244).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 302\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 143832 (base 10) to base 16\nAnswer: 231d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1293, -1331, -1409, -1539, -1733?\n\"Answer: -2*o**3 - 8*o**2 - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009243878 to six dps.\nAnswer: 0.000924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnkr when four letters picked without replacement from {h: 3, k: 4, n: 2, r: 1}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 11 = -x, -2*c - 15 = -3*x - 4. Let d be (-1)\/(-4) - 431\/c. Suppose -l = -3*l + d. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -306, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/84*(320\/72)\/5.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**4\/12 - 5*q**3\/3 + 15*q**2\/2 + 2*q. Let d be (-3)\/(-12) - (-45)\/(-4). List the prime factors of b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.67 + -0.12. Let o = 267.60953 + -269.398. Let p = g - o. Round p to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72\/157 + -203\/785. Factor 2\/5*p**3 - l*p**2 + 0*p - 1\/5*p**4 + 0.\nAnswer: -p**2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1852 + -0.3548. What is the second smallest value in 1, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luauululll. Give prob of picking 1 l, 1 a, and 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h - 2*y + 16, -h + 14 = 3*y. Suppose -i + 33 = h*i. Suppose -i = -3*w - s, -w + 1 = -s - 0*s. Solve -w*p + 1 = -5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1622 = -99*o + 101*o, 4*o - 3242 = 2*n. What is the greatest common divisor of o and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.6. Let x = -1.2 + 14.2. Let h = x - 12. Which is the closest to h? (a) l (b) 1\/9 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, y: 2, u: 1}. Give prob of sequence ujg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 223049, 446099, 669153, 892211, 1115273, 1338339?\n\"Answer: 2*r**2 + 223044*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(0 + (-4)\/3) - -2. Solve -u = 4*o + 15, -o - 5*u - 12 - p = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -16*x**3 - 306*x**2 + 41*x + 1293. What is a(-19)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 11*h + 441 = 12*h, 2*m - 3*h = -301. Let r = m - -2803. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -119, -129, -143, -161, -183, -209?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 45.875. Let x = n - 6.891. Let k = 10 + x. Round k to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a factor of 68820175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11903351 at most as big as 59516758\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 1. Let u(m) = -m**2 - 9. Determine u(h) - 4*x(h).\nAnswer: 3*h**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 + -1073\/6. Let k = -145 + 62. Let f = 82.7 + k. What is the second smallest value in l, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/30)\/((-2)\/(-5)). Suppose -2*z + 18 = 2*c, 0 = -5*c + h*z + 2*z. Solve 2*y = -4*x + 3*y - 15, -6 = -2*x - c*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -188709*m**2 + 1458*m - 13?\nAnswer: -377418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*v + 21, 4*s + 2 = 2*v + 6. Let n = v + 4. Suppose -44 = -n*t - 4*t. Solve 3*f - 18 = 5*p, p + p + t = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 + 4*j - 4. Let i = 78 - 61. Let h(o) = o**2 - 17*o - 4. Let s be h(i). Let f be k(s). What is the greatest common factor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 30 = -v - 3*v, 2*v - 3*z = -5. Suppose -4*w = t - 355, 2*w + v*t = t + 160. What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-56)\/(-112))\/((-2)\/(-160)). Is -11 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 + 5 + -5 - -6) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/6 - 49*m\/3 - 120 = 0 for m.\nAnswer: -90, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k - 5. Is (k - 32)\/(6\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*1*sqrt(17).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1779 + 3429. Suppose 0 = 2*z + 2*z + u. Let d = 552 + z. What is d rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -602 + 782. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8012125582479 - 0.2.\nAnswer: -1.0012125582479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 50. Suppose 0 = -3*g - 0*l - l - 28, -3*g - 2*l - 29 = 0. Let s be o(g). Factor 39*i**3 + 41*i**3 - 74*i**3 + 17*i**4 + s*i**5.\nAnswer: i**3*(i + 3)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 244 - 897 = 32*h + 30 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*k - 17, -n = -6*n - k + 21. Find the third derivative of -2*z**2 + z**2 + n*z**6 - 6*z**6 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)*c*c\/c**(-5))**27*(((c\/(c**(-5\/4)*c))\/c)\/(c\/c**(-6)))\/(c\/(c*c*c\/(c**4*c))*c**(-2)\/c) assuming c is positive.\nAnswer: c**(567\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 11:16 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q**7 + 0*q**5 + 0 + 1\/336*q**8 + 0*q**6 + 7\/24*q**4 + 0*q + 6*q**2 + 0*q**3. What is the second derivative of s(u) wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 45*n**3 + n**2 - n - 2. Let u be f(2). Let p = 87629 - 87589. Calculate the greatest common factor of u and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2390 + 3130. Let c be (-19 - 1)*(-6)\/8. What is the tens digit of (-4)\/(-6) + l\/c + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00521398474 to six decimal places.\nAnswer: 0.005214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 - 5 + p**3 + 14.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4*z - 12, -125*o + 30 = -127*o + 6*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 19*i + 252 = 0. Let l = 26 + i. Solve u = -l + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3010, 3010, 3004, 2986, 2950, 2890?\nAnswer: 2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -0.35 in decreasing order.\nAnswer: 3, 2, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3660*v**2 - 24*v + 27. Let z(o) = 3662*o**2 - 27*o + 18. Let u(x) = -3*p(x) + 4*z(x). Find the second derivative of u(g) wrt g.\nAnswer: 7336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -94116670.406.\nAnswer: -94116670.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300388 and 352.\nAnswer: 2403104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2 - 42*o - 9.\nAnswer: 3*(o - 3)*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/154 and -55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174336*g**2*r**3 + 544*g**2*r**2 - 2*g**2 - g*r + 13*r**2 wrt r?\nAnswer: 1046016*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.4. Let b(i) = -i**3 - 7*i**2 + 22*i + 33. Let q be b(-9). Put q, -1, g, -3\/2 in decreasing order.\nAnswer: g, -1, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.073 - 0.027. Let d = -1.1 - f. Let k = 0.51 - -8.49. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -1120423400?\nAnswer: -1120424000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2701 - 0.27. What is w rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {v: 1, u: 1, z: 1, m: 1, h: 2, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290*q**5*z**2 - q**3*z**2 - 183*q*z**2 - 6*q wrt q.\nAnswer: -5800*q**3*z**2 - 6*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12122871228 rounded to 6 decimal places?\nAnswer: -0.121229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67305, -67302, -67247, -67116, -66885, -66530?\n\"Answer: 4*r**3 + 2*r**2 - 31*r - 67280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 26*h**4 + 4*h**3 - 11*h**2 + 4*h + 4. Let t(u) = u**3 - u**2 + u + 1. Let x(r) = -m(r) + 4*t(r). Find the third derivative of x(i) wrt i.\nAnswer: -624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*f, 77*d - 79*d - 2 = 4*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 22 = 3*w, -12 = -63*w + 59*w + 2*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430567314.94 + 377.5.\nAnswer: -430566937.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(0 + (sqrt(88) - ((sqrt(88) + sqrt(88)*-2)*-3 - sqrt(88)))\/(-4*1*sqrt(8))) + 4)**2.\nAnswer: -20*sqrt(11) + 339\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 531\/8, 2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -80063869?\nAnswer: 24019160.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 4*s + 2*s + 7*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -699, -1271, -2215, -3531?\n\"Answer: -186*a**2 - 14*a - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 29*n + 118. Let j be u(4). Solve 0 = 52*c + 106 + j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-12) - 3*(-1)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10065 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*(-144)\/(-32). Find the first derivative of -236*o + g + 9 + 68 + 154*o wrt o.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1313 divided by -101\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 55, 71, 89?\n\"Answer: f**2 + 11*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g**2 + 25*g - 6*g - 8*g - 12*g + 2 in the form w*g**2 + x*g + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 25.7.\nAnswer: 334.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g + 17*g = 86*g + 1125 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - sqrt(2880)*-2)*4 + sqrt(2880) - -3*(sqrt(2880)*1 - sqrt(2880)))\/(6*(1*sqrt(1200))\/sqrt(12)).\nAnswer: 26*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60425, -120201, -179973, -239741?\n\"Answer: 2*p**2 - 59782*p - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o**(3\/4)*o))\/((o*o\/(o*o*o\/((o**(-1\/2)\/o*o)\/o)*o))\/o)*o\/(o*o*o**(3\/4))*o**(-5) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 216 - eccc?\nAnswer: -eab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74991210 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -20*n + 5. Let q(p) = -59*p + 14. Let o(j) = -17*k(j) + 6*q(j). Is o(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:54 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25194 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496.4832ml to litres.\nAnswer: 0.4964832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.7325 and 4.5.\nAnswer: 43.79625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 3, z: 3}. Give prob of sequence vz.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:29 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -158, -363, -650, -1019?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**(5\/8)*(f**(-2\/11)*f)\/(f\/(f**7*f))*f**(-6)*f**(-6)*(f\/(f**(-1\/2)\/f))\/(f*f*f**0) assuming f is positive.\nAnswer: f**(-1351\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-171)*(-3)\/(-6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = -u + 4*j, 5*u - 2*j = 5. Suppose l - 2*l = -3*c + 2, c - 4*l + 14 = 0. Solve u*x - 25 = -c*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*l = 5*l - 39143, -3*u - l + 58734 = 0. Let v = 704911\/36 - u. What is the common denominator of 33\/20 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.64, -24, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57263257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 + 2*v - 4. Let n be -1 + 2*(-10)\/(-4). Let i be z(n). Suppose 0 = -i*o + 2*o + 28. What is the least common multiple of 6 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88119.9999936941 + -88120. What is t rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -0.2 (c) 0.5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231*m - 75428 = 15601*m + 39532 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*t + 28 = 200 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14598 + -72992\/5. Which is the fourth smallest value? (a) 0.5 (b) m (c) 0.4 (d) 21 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 23544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21168105451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kju when three letters picked without replacement from {f: 2, a: 1, u: 1, j: 8, v: 2, k: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1860709.777+-2335.7\nAnswer: 1858374.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -638 - -0.189\nAnswer: -637.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 8*w - 193. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67.90975039 + -0.09073961. Let f = n + 68. What is f rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*y = 10*g - 121, -108 = -4*g + 4*y. Suppose -23*f + g*f - 722 = 0. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 7. Calculate the remainder when 3 is divided by s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 1, -46 in descending order.\nAnswer: 1, -46, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 1\/4 (c) -303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 20 in descending order.\nAnswer: 20, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(22\/33)*-6. Sort x, 0, 3 in descending order.\nAnswer: x, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m*m*m)**25*(m**(-12)*m)\/m**15 assuming m is positive.\nAnswer: m**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269324 is divided by 131647?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-1))\/(-1))\/(87633\/(-1391)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*k + 38 = -2*b, 0 = -4*b + k + 76. Suppose -3*t = -17 - b. Determine c so that 25*c + c + 2*c**3 + 109*c**2 - t - 125*c**2 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -360 + 2184. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 2. Let p be (-18)\/27*(-6)\/(-14). Let g = 1.9 - 2. Sort g, k, p.\nAnswer: k, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m. Let j(c) = 7911*c**2. Determine j(z(q)).\nAnswer: 284796*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = n, n + 4*t = 12 + 4. Let y = n - -9. List the prime factors of (y\/(-2))\/(1\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 - 2 + 2 + (0*u - u + 0*u)*(2*u + 5*u + 4*u)*(3*u + 7*u**2 + 0*u - 9*u) in the form m*u**2 + j + n*u**3 + o*u**4 + d*u and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 856*t + 6887. Determine i(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59932398 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -175448?\nAnswer: 175447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00190948671 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/6*(-1)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + 71. Does 17 divide (h\/(-2))\/(-1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131162 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 7 = -48*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -45\/7*u**5 + 139\/7*u**3 + 8\/7 - 188\/7*u - 88\/7*u**4 + 174\/7*u**2 = 0. Calculate u.\nAnswer: -2, 2\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49975760, 49975755, 49975750, 49975745, 49975740?\n\"Answer: -5*z + 49975765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/(3\/9). Suppose s + r = -0. What is the units digit of 400\/24*s\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -9. Let l = 4.2 + o. Put l, -3, 4 in descending order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -119.\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/39 + (-1316)\/(-2548). What is the closest to 2 in a, -1\/11, -28, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2345 (b) 2\/5 (c) 1 (d) 42\/17 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 392.06968 - 219\nAnswer: 173.06968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 440\/2156931 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 + 35 + 17*b**3 + (2*b**3 + 0*b**3 + b**3)*(2 - 4 + 1) + 2 - 2*b**2 + 2*b**2 - 2*b**3.\nAnswer: 12*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t. Suppose -18 = -3*m + 3*p, -m - 8 = m + 3*p. Let o(d) = -5*d**2 + 5*d**2 - d**m. What is j(o(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, -15, -92, 8 in increasing order.\nAnswer: -92, -15, -5, -4, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (35 + -1)*19\/38. Let h be r\/(-84) + (-127)\/(-4). Calculate the highest common divisor of h and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 75*w - 2245. Determine t(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:26 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3\/8 (b) 0.193 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26724689?\nAnswer: 23, 29, 103, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.323 - -0.777. Let x = 16.1 - c. What is the biggest value in -0.1, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -7.9?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + sqrt(539)*-2 + 5.\nAnswer: -7*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 695, 3\/4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -77. Let u = -10 - -26. What is the greatest common factor of x and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 88 = 68. Suppose 3*v = 4*k - 38, -8*v = -z*v + 6. Calculate the remainder when 31 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 2*d**2 - 2*d**2)*(8*d - 14 + 14) + (-3*d**3 + 3*d**3 + 2*d**3)*(7 + 1 + 3).\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 115*t - 110*t + 0*t**2 - t**3 - 4 + t**2. Let s be h(2). Factor 8\/9*d**s - 4\/9*d - 4\/9*d**3 + 0.\nAnswer: -4*d*(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*p + 4. Let x be (-6)\/(-4)*p\/6. Suppose d = -0*w - x*w + 340, -4*w = -4*d - 680. Round w to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(294*q - 294*q + q**2 - 1 + (4*q**2 - 5*q**2 - q**2)*(1 - 3 + 1)).\nAnswer: -3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w - 4, -3*w = -c + 11. Find the third derivative of 10*k**2 - 25*k**2 + 39*k**c + 5*k**6 wrt k.\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1766813502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 80. Suppose -f - s*z = -7*z + 4, 3*f = -4*z + 4. Suppose f = -p - 3*p, 4*g + p = 856. What is the remainder when g is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 5)*(5306*i - 1888 - 8244*i + 1888 - 1297*i - 10786*i) in the form v + f*i and give f.\nAnswer: 45063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -33*r - 234. Let i be o(-8). What is the highest common divisor of i and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.99999942 - 59. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*d - 648. Let t = 311 + d. What is the greatest common divisor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5240 is divided by 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2377 * 0.06.\nAnswer: -142.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 2*w**3\/3 + 2*w**2 + 4*w. Find the first derivative of b(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001410151 rounded to 7 dps?\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -656496 (b) 5 (c) -0.4 (d) 4 (e) 2\/17 (f) -3\/7 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 1. Let i = -54 + 46. Let s = i + 12. Let m(z) = -3*z**2 - 2*z + 5. Determine s*h(d) + m(d).\nAnswer: d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2802 and 98?\nAnswer: 137298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1782.8093 and 3033?\nAnswer: 1250.1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/756 and 31\/2324.\nAnswer: 62748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (790\/711)\/(((-1)\/18)\/((-16)\/32))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5105*z - 290985. Let n(f) = 19. What is -15315*n(a) - t(a)?\nAnswer: 5105*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-229140)\/2010)\/((-33)\/(-22)*(-1)\/3 - -2)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*o**3 - 10 + 29*o**3 - 18 + 28.\nAnswer: -103*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9127 + -6268. What are the prime factors of h?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -462\/149 (c) -0.3 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18136 at most 18136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011101100111001011 (base 2) to base 7.\nAnswer: 24566523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -35*m**2 - 2. Let i(u) = -140*u**2 - 9. Determine -2*i(y) + 9*k(y).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13356 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 136 (b) -20\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(133)\/sqrt(7) + sqrt(19)) + -2*sqrt(931))*2)**2 - (1*(sqrt(304) + sqrt(304) + -1 + sqrt(304) + -5)*-3)**2.\nAnswer: 1296*sqrt(19) + 11836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20708467*d**4 + 17864770*d wrt d?\nAnswer: -248501604*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:32 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -36*l - 136. Let t be d(-4). Solve -3*x = t*x - 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 411288.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1516470 and -67\/930?\nAnswer: 47010570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 9730159?\nAnswer: -9730159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (4 + -18 + 9 + -5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = 19. Suppose -9*m + 124 = -q*m. Let z(v) = 2*v - 2. Let r be z(4). Solve -3*k + r = 0, -5*f + m - 8 = -k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -3 - (21 - 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26111 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 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: Calculate the remainder when 24319882 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 2, r: 1, q: 4, m: 6}. What is prob of sequence ha?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*n + 129 - 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -3\/2*r**4 - 23 - 2*r + 7\/2*r**2 + 0*r**3. Let x(k) = -5*k**3 + 6*k - 2. What is -4*c(m) + 5*x(m)?\nAnswer: -m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 2*k. Let t(h) = h**2 + h**3 + h**2 + 3*h + 2*h**k - 3. Give t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 196065 + 9*i + 196065.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 225127 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.25598t to micrograms.\nAnswer: 95255980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:47 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, 161235, 1.\nAnswer: -4, 0, 1, 3, 161235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - -2 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*2\/(-6)*(-17)\/(-51).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*y = -33, -5*y + 13 = -2*b - 8. Let l(i) = 105 - b*i**2 - 35 - 34 - 37 - 2*i. What is l(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 787 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 4605, -2, 5, -4 in ascending order.\nAnswer: -83, -4, -2, 5, 4605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0) + (-179 - 0). Let d = o - -85. What is d rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -3)*10470\/(-90) + 10. Which is bigger: -689 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 231*w**2 + 3698*w + 41. What is p(-15)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 - 544605*b**4 + 54194*b**2 + 4*b - 1.\nAnswer: -60*b**2 - 13070520*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*u + 10696 + 4175 = -633 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1310214 (base 5) to base 2\nAnswer: 110010001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116710 is divided by 1459.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12174 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595120 and 223170.\nAnswer: 1785360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-196)\/63) + 644\/36. Suppose 0 = 5*b - 3*b - 18. What is the tens digit of b*(-8)\/p*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 + 2*m**2 + 4*m - 5. Calculate d(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0.0480027386.\nAnswer: -5.9519972614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 770877276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6313, 8, -25, -1 in increasing order.\nAnswer: -25, -1, 8, 6313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - 2.92. Let o = v - -2.98995. Let q = 0.01 + o. What is q rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1392289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*n + 4*j - 3, -j + 1 = -3*n. Calculate the remainder when (-23 - (-1 + 0))*n is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in 2\/7, -32, -1.9?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000286188 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h + 4*h)*(-4 - 1 + 3)*(1115 - 465 + 401)*(3 - 3 + 1).\nAnswer: -18918*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(3 - 1 - 4)*(7*p + 2*p - 7*p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1057, 1051, 1041, 1027, 1009, 987?\n\"Answer: -2*n**2 + 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 10*m**2 + 11*m - 56. Let b be 3\/(3\/5) + (-8 - -10). What is the remainder when a(b) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/36 - 56031\/(-53082).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 7) to base 3\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {u: 2, y: 2, i: 4, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -14)*2*(-6)\/4. Let a be j\/4*(-104)\/(-6). Suppose 0 = 3*y - 4*c - 435 - a, c - 410 = -2*y. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(3328).\nAnswer: 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/21)\/((-10)\/(-75)). Suppose -y*w = -1434 + 174. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-36))\/(1030\/(-7416))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 at most 1664\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (78\/4)\/(6\/16). Suppose -16*r = -29*r + 1755. Let h = r + l. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -166. Let f = -1019\/10 + w. Calculate the common denominator of f and -41\/73.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6812760.\nAnswer: 2, 3, 5, 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 17 = 2*i. Calculate the greatest common divisor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 + -230. Let h = 594 + w. What are the prime factors of h?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.5228 + -43029.7228. Let v = d + 42934.1818. Let z = 91 + v. Round z to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36523359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7350, -14634, -21918, -29202, -36486, -43770?\nAnswer: -51054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -18 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, -4\/5, 2, -1.56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 33. Let c = 43 + y. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 + -14 - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h**2 + 14*h + 8. Let p(o) = -7*o**2 + 5*o + 3. Calculate -17*p(y) + 6*q(y).\nAnswer: -y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83039*u + 2*u**3 + 83039*u - u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 176773.\nAnswer: 176773.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/58 in 8, 2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 10*f + 4. What is d(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 9 = -5*f. Let y(t) = -24*t + 22. Let l(v) = 13*v - 12. Let d be -1 + -8 + -3 + 6. Let j(g) = d*y(g) - 11*l(g). Calculate j(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11))**(-9\/2)\/(b**(-1)*b*b**(-4\/13)*b) assuming b is positive.\nAnswer: b**(18\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 3*r = -23, 0 = 2*i - r - 9. Let h be (39\/52)\/(i\/88). Suppose 0*p + p = h. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8736.674 minutes in nanoseconds?\nAnswer: 524200440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/(-12) + (4 + -9 - 115\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 177, 570, 1323, 2556?\n\"Answer: 20*t**3 + 13*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14*s**3 - 37*s**2 - 10*s + 25. Is f(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 - 8*b**2 - 5*b + 110. Let m(r) = -13*r**3 + 15*r**2 + 9*r - 220. Calculate 11*i(g) + 6*m(g).\nAnswer: -g**3 + 2*g**2 - g - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 4:50 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from {i: 8, j: 4, t: 1}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/496 and -13\/1798?\nAnswer: 14384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 10*j - 15. Suppose -3*q + 4*x + 7 = -6*q, 5*x - 70 = 5*q. What is the units digit of h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 8, -23 = -s - 5*o. Suppose -2*d + s*d + 8 = 0. Are -2 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2. Let a be (-8)\/(-6) + 6\/9. Let n(d) = -3 - d**2 + a + 1. Give y(n(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - 0) + -2 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/8 - 219*k**2\/8 + 831*k\/4 + 528.\nAnswer: 3*(k - 64)*(k - 11)*(k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 512657.\nAnswer: -5\/512657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35522775 * 0.4.\nAnswer: -14209110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 2. Calculate the remainder when r\/3*2*12 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568 + 2057 = 106*x + 18 - 2329 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 + (-6)\/(-33). Let d = -5 - -8. Let j = -2 - d. Which is the smallest value? (a) -4 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2724 - -3984. What is the greatest common divisor of b and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8231, 8151, 8065, 7973, 7875, 7771, 7661?\n\"Answer: -3*z**2 - 71*z + 8305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -62289*q + 7. Suppose 24 = 5*g - 9*g. Let l be p(g). Let k = l - 703741. Round k to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*k + m, -6*k + 5*k + 3*m + 3 = 0. Let b = k - -6. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 5) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6088304 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 3*o + 0*o + (3 + 1 - 2)*(2*o - 2*o - 4*o))*(-11 - 25 + 21) as z*o + v and give z.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*a + 11 = -8*a, 2 = 2*s + 2*a. Suppose -h + 1 + 16 = s*u, -4*h = -3*u - 79. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 6 - 6)*(-3 + 3 + 8*u + u - 4*u + 2*u + (-3*u + 4*u - 4*u)*(0 + 2 - 4)).\nAnswer: -78*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398 is divided by 200.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/229521 and -103\/25905?\nAnswer: 1981913835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3831 and 8452463.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 3*n**2 + 3*n - 57. Determine m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074*u + 4668*u - 1 - 1 + 8094*u.\nAnswer: 13836*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20666107 by 4.\nAnswer: 20666107\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-60) + 155\/(-25) - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + b)*(-3*b**2 - 3*b + 3*b) - 1 + 1 - 2*b**3)*(20 - 36 - 24).\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (168\/1372)\/(6\/14). Let t = 14.06 + -14. Let z = -5.06 + t. What is the third smallest value in -2, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032 + 20321020?\nAnswer: 20313322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -511*c*g**2 - 23*c*g*i + 10*c*g + 20*c - 5*g**2*i - 2*g*i + g - 41*i wrt i.\nAnswer: -23*c*g - 5*g**2 - 2*g - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 35*y**3 - 12*y + 3. Let d(u) = -7*u**3 + 2*u - 1. Let v(o) = 11*d(o) + 2*f(o). Let h(b) = -34*b**3 - 10*b - 24. Calculate 3*h(j) - 14*v(j).\nAnswer: -4*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -55, -70, -105, -166, -259?\n\"Answer: -w**3 - w**2 + 9*w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -939?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**5\/180 - n**4\/36 + 13*n**2. Let k(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(136))\/sqrt(8)*1 - (-1*(sqrt(68)*2 + sqrt(68)))\/sqrt(4).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 - 74 - 5)*(-7*p - 10 + 10) + p + p + p to the form g + t*p and give t.\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2367955482 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -266 - -25. Let t = 244 + o. Which is the third smallest value? (a) 2\/3 (b) 12\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*r - 16 = 0, g - 33 = -4*g - 4*r. Let n(o) = o. Let z be n(g). Solve 35 = z*y + 2*j, 0 = y - 5*j + 21 - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76314028?\nAnswer: 2, 7, 2725501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(605) + 3)*-1)**2 + (sqrt(605) - (sqrt(605) - (0 + (sqrt(605) - (-2 + sqrt(605))))**2)) + 4.\nAnswer: 66*sqrt(5) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 482 + -207. Suppose -6*z + 287 = q. Determine l, given that 1\/5*l**z - 6\/5*l + 9\/5 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 - 2671*j + 2671*j.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 11*i + 7. Let q(z) = 3*z**2 - 5*z + 3. What is 9*q(o) - 4*t(o)?\nAnswer: 3*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*i - 417*i - 112*i.\nAnswer: -417*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 3*c**2 - c + 4. Let i be r(-3). Suppose i + 1 = 4*t. Suppose 2*a - 3*m = a + 178, t*a - 347 = 3*m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 0.19701, -1.11 in increasing order.\nAnswer: -1.11, 0.19701, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 2*n + 1. Let i be 3\/(-4 - 10\/(-4)). Let y be -4 - (3 + -7) - i. Give c(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 = -12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1) + -60 + 12 + 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 31506925\/164 - 192116. Calculate the common denominator of t and -25\/4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*x - 7*x + 9*x)*(2*x**2 + 2 - 2) + 21*x**3 - 84*x**2 + 84*x**2 to s*x**2 + f*x**3 + t*x + b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1961102 by 13714.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/108*(-2216)\/(-5263)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(1496\/51)\/44.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 50*b - 44*b**2 + 38*b**2 + 130*b**2 - 50*b to w*b**3 + d*b**2 + j*b + l and give d.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 2 in descending order.\nAnswer: 9, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/16 and -41\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*p - 269*p + 4545 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k**3 + 2*k**2 + 2*k. Let z be d(-2). Suppose -4*c = -0*c - 4, -t - c + z = 0. Calculate the remainder when t is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/32)\/((-6)\/4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 1098*b**2 + 5490*b - 27578. What is k(-1103)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-10)\/9)\/((-10)\/(-15)). Suppose 3*h + 5 = s*m, 43 - 17 = -3*m - 4*h. Sort 5, m, 2, 1 in ascending order.\nAnswer: m, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-12\/19)*((b\/(b\/(b**(2\/173)*b)))\/b)\/b assuming b is positive.\nAnswer: b**(5401\/3287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(324)*4)*4)**2 + 2 + (sqrt(1584) - (-1 + sqrt(1584))**2) + -5 + sqrt(1584))*3.\nAnswer: -57157\/12 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -10.\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 0 + (80 - 73)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -20 - 16 - -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782828 divided by 4?\nAnswer: 445707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/8 - 37*k\/2 - 2805\/8 = 0.\nAnswer: -17, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let o(h) = z*h - h + h**2 + 0*h**2 - 1. Let b be 12\/(-5) - (-4)\/10. What is o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*j + 4*y + 9, 2*y - 10 = 4*j. Let v(n) = 3*n**3 + n**2 - n - 1. Let d be v(j). Are -3 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*o + 4*w + 15, -3*o + 54 = -w. Is 18 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002967 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 741749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1008\/240 - -2*(1 - 3). Which is the closest to -6? (a) 4\/9 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134899\/14 - -9643. What is the common denominator of t and 7\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-136)\/20 + (-6)\/(-2) and (6\/4)\/(1 - (-110)\/(-101))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011.2 + -0.4\nAnswer: 1010.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/10919289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejhjjoehjmro. Give prob of sequence erem.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4661285057660 and -0.8.\nAnswer: 4661285057659.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**4\/4 + y**3 + 3*y**2 - 4*y + 2. Let z be m(4). What are the prime factors of (z\/2)\/(4\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:37 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -802.019909 rounded to two decimal places?\nAnswer: -802.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3536*-1\nAnswer: -3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 4*i + 0*i + 3*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-936)\/30)\/(-6) - (-4)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 67*a**4\/12 - a**2\/2 - 314*a + 251. Let h(f) be the first derivative of v(f). Let z(n) = n. What is z(h(q))?\nAnswer: 67*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12431671, 24863341, 37295009, 49726675, 62158339, 74590001?\nAnswer: 87021661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6*j + 5*j + 6 = 0, 3 = -3*s + 4*j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -2*q - 2*t + 5*t, 5*t - 275 = -3*q. Suppose -16*j + 6*j = -q. Let s(o) = o**3 - 8*o**2 - 10*o + 3. Give s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((49\/6)\/7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-1) + -43)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1364 - -2727\/2. Which is the closest to 1? (a) z (b) 117 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2 + h - 4. Let j be k(4). Suppose 10*y - j = 6*y. Calculate the common denominator of (3484\/y)\/(-13) + -3 and 49\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1826354 - -1?\nAnswer: -1826353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4\/5 - 16*p**3\/5 + 147*p**2\/5 + 157*p\/5 + 8 = 0.\nAnswer: -8, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 308?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 - 48*r - 381*r**4 - 2*r**3 + 418*r**4 wrt r?\nAnswer: 444*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 - 54*y + 574. Let d = -101 + 165. Suppose 4*k - d = 288. What is the remainder when k is divided by a(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/(61360\/364)*(-4)\/7.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 10, a: 1, v: 2}. Give prob of picking 1 a and 1 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 10*y**2 - 94*y - 518. What is h(-6)?\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5654 and 0.3.\nAnswer: 1696.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 10*n**2 + 33*n - 11. List the prime factors of p(-15).\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - u + 0*u + (-2 + 2*u + 2)*(-1 + 2 - 2) - 2*u + 0*u + 3*u - u - 3*u - 2*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - (-70)\/15. Suppose -5*j + i = 0, -3*d = -8*d + 2*j + 8. Factor t - 1\/2*t**3 + 1\/2*t**d + 0.\nAnswer: -t*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398029394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.025 + -0.025. Which is the nearest to k? (a) 0.4 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.9 + -7. Let l = 44 - 34. Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154.4 - 171. Let l = w - -15. Is l at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -631, -563, -495, -427, -359, -291?\n\"Answer: 68*m - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-390)*1\/(-3)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000916315 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 e when four letters picked without replacement from {i: 11, e: 5}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9484 = -8104*o + 8941*o + 36268 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/12)\/((-2)\/6). Suppose h + p*g = 39, 4*h = 2*h - 3*g + 58. Suppose -l + h - 3 = 4*z, -4 = -l. Solve 3*d - 1 = z*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7618 is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.1858157 + -29.186. What is r rounded to six decimal places?\nAnswer: -0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 4058034212?\nAnswer: -4058034212.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 divided by 5?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64359593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 - (-64)\/12. Suppose -k*n - 16 = 4. Sort n, -5, -2 in decreasing order.\nAnswer: -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)\/c**(-2\/11)*(c*c**4*c)\/(c\/(c*((c*(c\/(c*c*c**4))\/c)\/c)\/c*c)))\/((c**(-1))**(-11\/5)*c**(-2\/5)*c**(-1\/3)*c) assuming c is positive.\nAnswer: c**(-542\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -5, 3*s + 5*f = 29. Solve b = -q, -b - 1 = s*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n - n)*(-1 - 4 + 6)*(-4 - 7 + 3)*(1 + 0 - 2) + (10 - 8 + 8)*(-3 - n + 3).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 6.550979, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.64 and 54980.5?\nAnswer: 35187.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -238, -244, -254, -268?\n\"Answer: -2*x**2 - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v. Let m = 3163 + -3161. Solve -g + 3*g + 4*c = 12, v = m*g - 2*c + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 + 6*u + 60. Let q(i) = -12. Let o(d) = -j(d) - 5*q(d). Let c be 66 + 3 + -2 - 2. Let x(z) = -55*z**2 + 65*z. Determine c*o(h) + 6*x(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 9, -1, 0, 4 in ascending order.\nAnswer: -14, -1, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swdwnsnhnlshw. Give prob of picking 2 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9 + 34 + 4 + 12*i + 9 - 15. Let o(k) = -2*k. Give o(g(h)).\nAnswer: -24*h - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101054 (base 6) in base 3?\nAnswer: -2210000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*o**2 - 2\/7*o**4 + 0 - 2\/7*o**3 + 2\/7*o.\nAnswer: -2*o*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 6225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*j. Suppose 4 + 11 = 5*i. Let v be (-1)\/(-3*i\/225). Solve -15 = -3*s, -j*b + b + v = 5*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 - 3*j + 655941. Let g(p) = p**2. Calculate f(g(b)).\nAnswer: -5*b**4 - 3*b**2 + 655941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 - 3. Let p(d) = -7*d**2 + 5. Let j be -1 + 1\/((-1)\/2). Let a be j*(-2 - 1 - -4). What is a*p(b) - 5*o(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.07, 201508, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 + -43. Put 6, c, -5 in increasing order.\nAnswer: -5, 6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 520.9 + -521. Which is the closest to -2\/9? (a) 2 (b) j (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 412 = 4*d, -2*d + 3*y + 2*y + 178 = 0. Suppose p + p = -k + 71, 0 = -3*p - 3*k + d. Let x = -21 + p. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - g - 4*g)*(15*g**2 - 12*g**2 - 2 + 2*g - 4) + 3*g**3 + g**3 + 0*g**3 as x*g**3 + n + r*g**2 + f*g and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*j - 17403 = -32919. Suppose -o + 150 = -966. Calculate the greatest common divisor of o and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 471.78678.\nAnswer: 466.78678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkb when three letters picked without replacement from btkttkkttttttt?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + (-27 - -2) - (1060 + -1170)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 2*x - 6 = -c, 0 = c - 5*x - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 352, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1107 and 4418.\nAnswer: 489.0726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -591589900 to the nearest 100000.\nAnswer: -591600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 2034 - 21282. Let j = s + 1010. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 77*t - 71 + 125 - 3*t**3 - 30*t + t**3.\nAnswer: -2*t**3 + 47*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Let s = 2.65 + -2.25. Which is the nearest to 1? (a) s (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/24 + 3*a**2\/16 + 5*a\/4 - 18. What is r in p(r) = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*i**5 - 24387*i**4 - 29*i**3 + 230590226*i**2?\nAnswer: 4020*i**2 - 585288*i - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.688 - 0.188. Let h = o + -19.4. What is the fourth smallest value in -4, -2\/15, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 265 = 5*x, -x + 4 = 3*x. Suppose 0 = -17*a + 21*a - 40. Calculate the greatest common divisor of a and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/45448 and -67\/22724.\nAnswer: 45448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -9908\nAnswer: 49540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4381 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbrbbbbbrbb. What is prob of picking 2 b?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -16.8\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-1 + 1*255. Suppose -3*x + 0*c - 5*c = -766, -x = 4*c - k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/680 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e (base 15) to base 4.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122878*l**2 - 56037*l?\nAnswer: -245756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + 672. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 5*t**3\/3 + 6*t + 8. Find the first derivative of p(f) wrt f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 26 = 4. What is the smallest common multiple of 29 and 144\/p - (-9)\/(-15)?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 1703546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-3)\/((-54)\/(-12))). Solve 3*m - 31 = 4*k, -o*m - 2*m - 4*k + 9 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 190*i + 1068.\nAnswer: 2*(i - 89)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*y - 215, -6373*t - 41 = -2*y - 6362*t for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 4*f + 11, 2*a = -f - 4*f - 31 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111590*w**2 + 141910 wrt w?\nAnswer: 223180*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*i + 80*i = 4. Solve -1\/3*p - 2\/3 + 1\/3*p**i = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c + 11. Let v = c + 1. Does 0 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48519 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224 - -318. Suppose 6*v + 4 = k. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**2 + 0*p**2)*(6*p - 4*p + 4*p)*(6 - 3 - 2).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v - 28*v**2 + 15*v**2 + 8*v**2 + 12*v**2.\nAnswer: 7*v**2 + 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -9, 0, -2, 4.\nAnswer: -9, -2, 0, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1682319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:12 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from pppapappppfpffp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, -3\/2, 0.2089, -37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 105\/(-14))\/(1\/202) a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 225 = -5*v, -4*u + 3*v - 249 = 6*v. Let b be u\/(-18)*6\/4. Solve -c = -b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/18))\/y**(-14)*y**(-1\/4)*y\/((y*y\/(y\/(y*y*y**(3\/4)))*y*y)\/y))**(-12) assuming y is positive.\nAnswer: y**(-398\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 107*x = 33264. Calculate the least common multiple of x and 99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20*q + 17*q - 475 = 0, 0 = -4*o + 2*q - 490. Let m = o - -1209\/10. Which is the nearest to 2\/5? (a) -5 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 8 = -13 - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 17*u**3 - 4*u**2 - 4*u + 12. Let r be f(6). Let w be r\/27 - 8\/36. Suppose -i + 59 + w = 0. What is the highest common factor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 47. Suppose -10 = n*p - 5*c, 3*p - 2*c = -3*c + 19. What is the biggest value in p, 41, 0.5, -4?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1 - -182)\/(-1). Let u = r - -109. Let h = -44 - u. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -213. Is 1 + 0 + 0 + (l - -3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 4655603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*b - 2*a, 5 = 5*b - 8*a + 3*a. What is the closest to -0.04 in b, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 21*d. Let p(l) be the second derivative of -l**3\/3 + 44*l. What is z(p(s))?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*i + 1 - 17, -3*i + 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(-1 + (sqrt(128) - (sqrt(128) + -1)))**2 - (2 + (4 + sqrt(128)*2 - sqrt(128)))).\nAnswer: -8*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 681725960 a multiple of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14928 divided by -6\nAnswer: 2488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let g be l(-2). Which is the second smallest value? (a) -3\/2 (b) 2\/13 (c) 1\/3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32877 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 26. Let u = 23 - p. Suppose -4*d = 3*m - 33, u*d + 2*m = 2*d + 16. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/33 and -73\/1155.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 150880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - t**4 + t**4)*(0 - 4 + 1)*(317 - 148 - 86).\nAnswer: -249*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 2, y: 1, w: 1}. What is prob of sequence ee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**8)**(-2) assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5691 (b) 0.115 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m - 2*h, -2*h = -2 + 4. Suppose m = f + 2*f - 9. Suppose 0 = f*c, 0*c = -3*w - 2*c + 15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.013 - -82.013. Let p = j - 81.938. Let m = p + 3.938. Which is the nearest to 1.5? (a) -4 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2862262*d**3 - d**2 + 536535*d wrt d.\nAnswer: -17173572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 692 divide 1148720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {y: 2, e: 4, f: 1, b: 9}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/30708 and 41\/483156?\nAnswer: 412132068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.19, 0.4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*h - 42, -4*t + h + 0*h = 31. Let i(s) be the second derivative of s**5\/20 + 2*s**4\/3 - 11*s**3\/6 - 6*s**2 + s - 17. Is i(t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 741266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 271232?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7201 + 3*w + 6*w**2 + 14407 - 7206. Let r(i) = -46*i + 2. What is r(a(k))?\nAnswer: -276*k**2 - 138*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 583433 not equal to 583376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56337 - 13119 = 98*z. What is the least common multiple of 147 and z?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2985, 3186, 3637, 4434, 5673, 7450, 9861, 13002?\nAnswer: 16969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342412203 (base 5) in base 10?\nAnswer: -3482178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 1\/2*x**2 + 5\/6*x**3 + 0 - 1\/12*x**4 + 35*x. Calculate g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose 11*h = 6*h. What is the third derivative of h*a**6 + 0*a**p + a**6 + 3*a**2 wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -320065?\nAnswer: 320063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) - (-21)\/9. Let i be (43\/(-4))\/(5\/(-20)). Suppose -n + i = 4*o + 2*n, -o - l*n = -7. Is 13 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53558 + -5?\nAnswer: -53563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 9. Let q be u - 0 - (-10 - -135). Let n = -88 - q. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67408\/63 + -1070. Let m(d) = 2*d**2 - 6*d - 8. Let o be m(4). Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31040 divided by -40.\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 927 and 1431494.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 254 and 41556.\nAnswer: 41810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1935*h*s**2 - 4*h*s - 916268*h + 2*s**2 - 2*s wrt s?\nAnswer: 3870*h*s - 4*h + 4*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 56409.2406 to the nearest 100.\nAnswer: 56400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 2*g, 0 = -4*g - 3*f + 7 + 10. Solve -5*a + 15 = -g*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and -1046.\nAnswer: -1046.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*o - 311*o - 221 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 504\/140*(-20)\/(-3). Is (84690\/h)\/((-9)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143001\/2 - 71500. Factor -8*i - r*i**3 + 4*i**2 + 0.\nAnswer: -i*(i - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10241143 - -10?\nAnswer: -10241133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*u + 17435 = -16847 + 6384 for u.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:29 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-40 - -34) - ((3 - 2) + 8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 3*10\/15*6. Suppose z - w = 3*w - f, 2*z = 2*w - 8. Solve -4*o + 8 = z, i - 2*o = -2*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 21565574?\nAnswer: 21565607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 (base 10) in base 2?\nAnswer: 110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/21 + (-74)\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -53. What is the smallest common multiple of d and 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((20\/(-5))\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 0, 5 + 2 = j - 4*f. Solve -10 + j = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 270579078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1073 + 585 - 30*d**2 - 8*d + 1992 + 528 wrt d.\nAnswer: -60*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/8 - 114*c**2 - 1821*c\/8 - 455\/4 = 0.\nAnswer: -910, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 95668156 to the power of 1\/2, to the nearest integer?\nAnswer: 9781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23571, 47141, 70711, 94281, 117851?\nAnswer: 141421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2 + 860*s - 92450 = 0.\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -150.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -78. Solve -3*k + f = k + v, -4*k = -5*f - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/2 (b) -11 (c) 29\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1166 = 65*y - 67*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dooodddooooooodoooo. Give prob of picking 1 d and 2 o.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/6 - 2*v**3\/3 - 2*v**2 + 16*v. Let t be q(3). Solve 0 = -t*s + 7*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2442965 nanoseconds in microseconds?\nAnswer: 0.0002442965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m**2 - 11*m. Suppose 96*b = 99*b + 66. Let o(f) = -f**2 - f. Let t be 10\/4 - (-3)\/(-12)*2. Give b*o(k) + t*y(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from dakjlle.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 18. Suppose u + 10 = -5*q, u = -4*q - 1 - r. Suppose 4*g - 26 = 54. Calculate the highest common divisor of u and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 1107394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 9*f**6\/40 + 7*f**4\/12 - 11*f**3\/2 - 1370*f**2. What is the first derivative of j(h) wrt h?\nAnswer: 81*h**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 1.86, -37, -5 in increasing order.\nAnswer: -37, -5, 4\/3, 1.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13526*d - 216 = -13742*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/92 and -31\/368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 59 = -3*h. Let l = 416 - 286. Let n = l + h. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 43. Suppose 16 = r*m + 5*c - 4, 60 = 5*m - 3*c. Let w be 2\/(12\/m)*2. Solve -n - 1 = -w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 4\/3, -1, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, -3, 0 in decreasing order.\nAnswer: 0, -3, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007807789 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 - k. Let u be j(0). Suppose 5*z + 15 = 0, u = -s - 4*z + 3 + 2. Suppose -p + s = 3. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let x(d) = 4*d**2 + 2*d**2 + 7*d**2 - 3*d**2. Calculate j(x(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1048364*f + 3597513.\nAnswer: -1048364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16883?\nAnswer: 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/528*-3*-4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -714*4.4231.\nAnswer: -3158.0934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.81 + -0.81. Which is the fourth smallest value? (a) 1\/3 (b) 2 (c) h (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*p + p**3 + 82*p - 11*p - 3*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 369079842 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**2 + 38. Let h(o) = 15*o**2 - o. Give l(h(z)).\nAnswer: -30*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21909.8ml to litres.\nAnswer: 21.9098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.1 + 1591.9. Let i = n + -1430.1. Round i to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8887.82328ns in weeks?\nAnswer: 0.000000000014695475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 124*a - 51. What is the tens digit of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - h**4 + 2*h**4 + (2*h**2 - h**3 - 2*h**2)*(3*h - 2*h - 2*h) + 19594 - 19594 + 2*h**2 - 125*h**4 - 15 - 5*h**4 + 8*h**4 - 2*h**4 + 2*h**2.\nAnswer: -121*h**4 + 4*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 4. Let r be u(4). Sort r, 2, 3 in decreasing order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11808342*i**5 - 38*i**2 + 5*i - 443 wrt i?\nAnswer: -708500520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62035760 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1550 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n - 16. Suppose 0 = -3*s - 1 + 4. Sort n, s, -5.\nAnswer: -5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = 67. Suppose 3*b - 124 = u. Suppose b = -7*d + 262. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1535.9 - 1536. Which is the third smallest value? (a) 0.5 (b) k (c) -5 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/5, 0.3, 40, -3\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a178 - -cc?\nAnswer: -a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*-48*321\/((-97263)\/202)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 63*p = -6*p + 875925. What are the prime factors of p?\nAnswer: 3, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49*94\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 4*j = 16*p - 128, -72 = -2*p + 3*j. Solve -p*z - 81 = 57*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1915*s**2 + 1967*s + 6. Determine q(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2177\/2 + -1089. Is 1497 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(2*4\/(-12)). Suppose 4*f = m - 3 - 9, 4*m - 20 = 2*f. Suppose -3*w + v = m*z, -3*w + z = -w - 51. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 7. Let w(y) = -5*y - 1. Let r be w(1). Let q be l(r). Calculate the lowest common multiple of (-48)\/(-3) + q + -1 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135288171 divided by -2552607?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 259749917.\nAnswer: 259749917.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*18*(-3)\/(-1296)*2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/4, 1\/3, 2\/15 in ascending order.\nAnswer: -2\/7, 2\/15, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7136 and 1338?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -79*x**2 - x + 9. Let u(q) = -20*q**2 + 2. Give -9*u(y) + 2*v(y).\nAnswer: 22*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:10 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 20. Let x be u(8). Suppose -x*b = -b. Suppose 5*t + 27 - 302 = b. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-228)\/(-12) - 8) + -13. Sort 2, -4, m, 1 in descending order.\nAnswer: 2, 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + -91. Let n be ((-2)\/a)\/(15\/(-180)). Suppose -3*t + 15 = 4*q - 64, 3*q = n*t + 75. Calculate the smallest common multiple of 11 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -299 - -296. Put 3, l, 0, 3\/5 in descending order.\nAnswer: 3, 3\/5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = 156. Let o = i + -3. Suppose -y + 59 = 3*a, 0*a = 2*a + 4*y - o. Calculate the highest common divisor of a and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3796*u**2 + 11301*u**2 - 3741*u**2 - 3764*u**2 + 2 - 2 + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -127\/5 (c) 3418\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**2 - 2. Let a(u) = 28*u**2 + 7. Let z(m) = -9*m**2 - 2. Let h(q) = -2*a(q) - 7*z(q). Calculate h(y(p)).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1 in decreasing order.\nAnswer: 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -s + 18. Suppose 0 = -s*w + w + 414. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4094 or -4092?\nAnswer: -4094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 711 divided by -3\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*sqrt(26)\/sqrt(2) + (4 + 0 + sqrt(13))**2).\nAnswer: 58 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 669\/20 - 33. Find the common denominator of z and 109\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 27*s**4 - s**3 - 5*s**2 + 23. Let o(q) = 26*q**4 - q**3 - 4*q**2 + q + 22. Let k(n) = -4*d(n) + 5*o(n). Find the second derivative of k(w) wrt w.\nAnswer: 264*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**4 - 8108756*m**2 + 3*m - 253456135 wrt m?\nAnswer: -16*m**3 - 16217512*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7)\/r)**(-8)\/(r**(-1\/4)\/r**(2\/9)))\/((r**0)**0*(r**(2\/5)*r)\/((r\/(r*r**(-3))*r)\/r*r*r)) assuming r is positive.\nAnswer: r**(18091\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*p - 32, 10*p + 21 + 33 = -5*z - 26 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 6.2. Let m = 6.6 + -10.6. What is the biggest value in z, -0.07, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.675669 rounded to 2 decimal places?\nAnswer: -26.68","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2 + 44005*r + 88014 = 0.\nAnswer: -2, 44007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 5. What is the common denominator of (17\/(-6))\/(l\/6) and -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/9 and 47\/251005?\nAnswer: 2259045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 974529 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*u + 44858 + 15232 = -2104*u - 5547 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3396767 * 4\nAnswer: 13587068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-1)\/((-9)\/6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 45 = 3*b, -3*g + 5*b = 2*b + 75. Is g > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 117135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 84. Let d(r) = r - 12. Let z be d(a). Let l(h) = -h + 3. Let o(u) = -2. Let g(q) = z*l(q) + 6*o(q). Let m(p) = 5*p. Calculate m(g(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51702199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -138831 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let u(n) = -6*n**2 + 1886816*n + 1. Calculate u(j(p)).\nAnswer: -6*p**4 - 1886816*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751710, 1503417, 2255128, 3006843, 3758562?\nAnswer: 4510285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 4. Let t be q(0). Suppose 75*h - 128 = 91*h. Let v be (-2)\/(-4) + (-228)\/h + 7. What is the greatest common divisor of t and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.217589 take away 0.0711?\nAnswer: -47.288689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 8. Let o be p(-11). Suppose a + 4*l - o = 24, -3*l = -5*a + 146. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 15123558.\nAnswer: 75617790","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 639484441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a - 36*a + 29 - 29.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.676446 nanograms?\nAnswer: 0.000000003676446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:54 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/347 and 17\/5.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13999?\nAnswer: 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29965 by 1.\nAnswer: -29965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*g**2 - 1 - 2*g + 61*g**2 - 247*g**2 + 61*g**2 + 66*g**2 - 14*g**3 to the form p + c*g**2 + o*g + u*g**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -190, -724, -1578, -2710, -4078, -5640?\n\"Answer: 7*n**3 - 202*n**2 + 23*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4060 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + 1*sqrt(1331)*-4)**2 + 0.\nAnswer: 176*sqrt(11) + 21300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 148aa?\nAnswer: 14903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 1\/9*o**6 + 14\/15*o**5 - 64 + 0*o + 3\/2*o**4 - 14\/9*o**3 - 10\/3*o**2. Determine n so that i(n) = 0.\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -67*c + 12. Let d(k) = -k**2 + 3*k. Let f be d(-2). What is the units digit of l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let x(t) be the first derivative of t**4\/2 + 2*t**2 + 680. Calculate -5*g(z) - x(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5188 - 5183. Let n be (-2)\/((-2)\/5) - 2. Solve 4*q = -2*a - q + 8, n*a - k*q - 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-2)\/((-31822)\/(-20457))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 5. Let b be o(-5). Suppose z + 0*z - 33 = b. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 3:34 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 652*a + 1385*a + 16296 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 1 + 1)*((4 - 3 - 2)*(-3 + 0 + 4) - 4 + 2 - 8) in the form p*k + c and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0303837 - 0.0305. What is d rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/3)*g*g*g)**(-3))**(-21) assuming g is positive.\nAnswer: g**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -34 (b) -1750 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -2. Let s = 14 + n. Let c be (s\/(-4))\/(6\/8). Let d(p) = 2*p. Give d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)\/((((((h\/(h\/(h**2\/h)))\/h*h)\/h*h)\/h)\/h)\/h))\/(h**(-2\/11)*h**(-1\/8)))**(-5\/2) assuming h is positive.\nAnswer: h**(1185\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.58673 millilitres to litres.\nAnswer: 0.01158673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l**2 + 37*l**2 + 3*l - 2 - 25*l**2)*(-3*l - l + 5*l).\nAnswer: -12*l**3 + 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*sqrt(204)*1 + sqrt(204))*-3)\/((1*sqrt(12) + sqrt(12))*1 + sqrt(108)*-3).\nAnswer: 45*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -22.1. Let a = w - 0.1. What is the third biggest value in 5\/3, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8255 + 1759?\nAnswer: 10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 6, c: 3, y: 2, e: 5}. Give prob of picking 2 b and 2 c.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 651865149 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1625 - -1715. What is the highest common factor of 774 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 3*l + 3. Let w be c(-3). Let f = w + -19. What is the third derivative of -2*z - z**6 - 7*z**f - 5*z**6 + 2*z wrt z?\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200706563.\nAnswer: 71, 2826853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*w - 4, t + 25*w - 23*w + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49764918289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238409247.\nAnswer: 3, 227, 350087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*h = -4269 + 19210. Calculate the remainder when h is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163743353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdukiuducinikdinknu. Give prob of picking 2 c.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 11*h + 9*h + 6*h)*(-3*h**2 + 0*h**2 + 7*h**2) + (10*h**2 - 10*h**2 - 10*h**2)*(-h - 4*h + 13*h) as m*h**2 + a + p*h + l*h**3 and give l.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-4)\/6)\/((-24)\/36))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 12*k**5\/5 - k**3\/3 + 11. Find the third derivative of v(o) wrt o.\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 434\/11*c**2 - 2\/11*c**3 + 112360\/11 - 24592\/11*c.\nAnswer: -2*(c - 106)**2*(c - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10*q - 34 = -15*q, -k - q + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let b(w) = -10*w + 102. Give b(o(h)).\nAnswer: -10*h + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.2. Let n = 3422\/19 + -180. What is the closest to -1 in n, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, 5, 70, -59, 0.4, 0.08?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -3. Suppose -11*q = -7*q - 8. Is 1\/q*(417 + o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -58*p**2 - 1367*p + 20547. Give i(-34).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2))\/(19\/(-1444)). Let z = 231 - d. Calculate the smallest common multiple of z and 11.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58777 (base 15) to base 9.\nAnswer: 468514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.95 - 0.05. What is the biggest value in 5, -2, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6*f - 2*f - 320, -3*r + 4*f = 470. Let o = 84 + r. Let k = -60 - o. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 2, 983, 10, -7\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 93 = -30*x + 337 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267180, 267251, 267322, 267393, 267464, 267535?\nAnswer: 267606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w - w**2 - 120 + 20*w**3 + 21*w**3 + 7*w**3.\nAnswer: 48*w**3 - w**2 + 23*w - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10471 + 3371 = -836*l + 14636 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 390 + 371 - 762 - 816*j + (0*j + 4*j - 2*j)*(1 - 2 - 1).\nAnswer: -820*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 - 3*n + 0*n - 5*n**3 - n**3 + 4*n. Let w(c) = 16*c**3 + c**2 - c. Calculate -o(j) - w(j).\nAnswer: -15*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 1. Let o(k) = 6*k + 1. Let g(s) = 3*m(s) + o(s). Let h be g(1). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27362 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -81. Suppose -3*x = -d*v - x + 450, -x = 4*v - 459. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -8377\/327?\nAnswer: -8377\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104\/7 + 16\/7*a**2 + 90\/7*a.\nAnswer: 2*(a + 4)*(8*a + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(460\/4098740503) + -2. Let w = 8910290 - u. Let x = w + 285\/23. What is the common denominator of 107\/14 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*r + 10, -9 = 4*b - 2*r - 37. Let s(n) = -n + 1. Let a be s(0). What is the nearest to 2\/3 in -1, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570380 and 2765?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 546.7570243 to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/5 - 149*a**2\/5 - 2518*a\/5 - 1248 = 0.\nAnswer: -130, -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42206905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)\/m**(-5))\/(m**(-6\/7)\/(m\/(m\/(m\/(m*m**(2\/13)))))) assuming m is positive.\nAnswer: m**(5891\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-9)*(-18)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.109301 rounded to one dp?\nAnswer: 203.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 1051. Let r(g) = y + g + 2*g - g**2 - 1031. Determine r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 3 (c) -0.2362 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 6461\/420 - -3*(-6)\/(-135)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/400 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 824622.8kg?\nAnswer: 824622800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 20 = -j. Let g be 4 + (5153686\/4 - (-2)\/j). Suppose -g + 3241425 = 7*v. Round v to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/20)\/(1*((-1)\/120)\/((-706)\/(-3177)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38079\/(-63465)*(-550)\/(-6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 507*g**2*q**3 + 165*g**2*q + 2*g*q**2 wrt q?\nAnswer: 3042*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.4, 30.5, -19, -187 in decreasing order.\nAnswer: 30.5, 0.4, -1\/4, -19, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m - 3*w, -5*w - 3 = 4*m. Find the third derivative of h**2 + m*h**2 - h**2 - 3*h**5 - 2*h**5 wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4699 + -1.47053185. What is p rounded to five decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -27*x**2 + 0*x**3 - 1\/24*x**4 + 0*x**6 + 0 + 0*x**5 + 1\/14*x**7 + 0*x. What is the second derivative of n(w) wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 80701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 11*m - 65 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-250)\/(-5))\/1. Let f = i - 32. What is the second derivative of -f*w + 0*w**3 + 5*w**4 + 38*w + 0*w**3 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 1:35 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {t: 1, w: 1, y: 2, g: 4, k: 4, l: 7}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4\/4 - n**3 + n**2\/2 + 3*n + 8. Let j be y(-3). Solve 5*w + j*w = 5*v - 5, 0 = -4*w + 3*v - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-180)\/96 + 4. What is the nearest to 0.17 in 0.3, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -3, 13, 12844 in descending order.\nAnswer: 12844, 13, -3, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2021.2 or -298?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.072 - -0.328. Which is the nearest to 0? (a) 1\/9 (b) 2\/13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2959 + -1695. What are the prime factors of b?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 1. Let p(k) = 2*k**2 - 1. What is 2*h(t) - 3*p(t)?\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 + 160*m**4 + 4426*m**3 + 47276*m**2 + 112224*m - 451584 = 0?\nAnswer: -32, -21, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003281 is divided by 334220.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 5)*(2*h - 18*h - h)*((2 + 2 - 3)*(1 + 5 - 5) - 2 + 2 + 2 + (0 + 3 - 5)*(2 - 1 + 1)).\nAnswer: -119*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0665, -106, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 53406*q + 32326104.\nAnswer: -3*(q - 18388)*(q + 586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121900000 rounded to the nearest one million?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = 2. Calculate the lowest common multiple of 18 and (22\/3)\/(3\/s).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = -3*c. Let u be (-2)\/(-3) - 2\/c. Suppose -5*h + 6 + 4 = 0, 3*f - 2 = -h. Solve -5 = -4*t + 5*g, f*g = t - g - u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*x**2 + 2*a**2*x + a**2 + 369*a*x**2 - 265*a*x wrt x.\nAnswer: -2*a**2 + 738*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 134?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1) + (-5 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -303 - -374 - ((-1 - -8) + 2 + 0 + 1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {y: 1, n: 1, o: 1, z: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let u be x(2). Suppose -g + 4*h + 6 = 4*g, -u*g - h - 12 = 0. List the prime factors of (g + 0)\/(0 - (-6)\/(-171)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.042 + 10.158. Let v = 10 - i. Put 2\/5, 4, v in increasing order.\nAnswer: v, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004361929 to five decimal places.\nAnswer: 0.00436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/79, 38.2?\nAnswer: 38.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8 = 5*h, -2*h + 3 = -5*a - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-518 + 259 + 4*n**3 + 946) to the form g*n**3 + f*n + k*n**2 + u and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h + 1. Let t be f(1). Find the common denominator of 29\/10 and -7 + 7 + t\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12136 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -355135421*l*y**2 + 762577293*y**2 wrt l.\nAnswer: -355135421*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3591 - -3588. Let v(u) = u**3 - 3*u**2 + 2*u + 2. Calculate v(z).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*m - 1 = 15, 2*l + 8 = 4*m. Let a(f) be the third derivative of f**6\/120 - f**5\/12 + 5*f**4\/24 - 5*f**3\/6 - f**2. Give a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*2\/(-30)*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -4181*c**4\/4 - 13*c**3\/3 + c**2 - 4976. Find the third derivative of p(i) wrt i.\nAnswer: -25086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1647, 5480, 12607, 19734, 26861, 33988?\nAnswer: 41115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 0.032, -2\/5, 0.104?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-42)*1\/(-3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 635698 + 635698. Let g(n) = 32*n**2 + 48. Determine g(v(l)).\nAnswer: 128*l**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let m be (40\/(-14))\/(6\/(-21)). Let f(v) = 27*v - 36*v - m*v. Give f(y(q)).\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 2. Let t(l) = 19*l**2 - 13. Let c(n) = -39*a(n) + 6*t(n). Let p(g) = 16*g. Give c(p(d)).\nAnswer: -768*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410852 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - c - 66 = 0, 0 = 4*n - 9*n - 5*c + 135. Let d(b) = -n*b - 28*b + 60*b - 3. Calculate d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 27*j + 24. Let z be t(26). Let r = -4.5 + -0.3. Let l = r + 5. Which is the smallest value? (a) 1\/4 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-536)\/(-201)*(-1)\/4)\/((-6)\/360).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v**2*v*(v**0)**(-2\/11) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8744199?\nAnswer: 3, 19, 153407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = -124*f + 1303 + 1007 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*g + 221 = 51 - 64 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {w: 2, u: 1, m: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/16 and (-1518)\/216 + 19\/(171\/36).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from azttazza.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 10)*(0*q - 3*q + 4*q) + 2 - 2 + 6*q + (0 + 0 + q)*(1 + 1 - 4) - q + 2 - 2.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15600.507 months to centuries.\nAnswer: 13.0004225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 - -4.1. Let y = -156 - -155. Let k be 7\/(-9) + (0 - -1). Which is the second biggest value? (a) k (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/4)\/(280\/910).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7957960?\nAnswer: 2, 5, 19, 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbwbbbbbwbbbwbwbbb.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 6*m**2 - 8*m - 6. Is u(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3*(-13 + -2). Suppose -5*q + k = -20. Suppose 2*j + 3*w - 8 = -w, 0 = j + q*w - 4. Solve 4*r = -2*b - 10, 5*b - 23 + j = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4\/3 + 49527*d**3 - 1381495253*d**2\/3 + 10680116953*d - 2641248861 = 0.\nAnswer: 1\/4, 23, 18561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - m**2 - 29*m - 1 + 29*m + (1 - 1 + m**3)*(2 + 0 + 0) to y*m + b*m**3 + g + z*m**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*q = 6, 0 = -i - 5*q - 7 + 5. Factor 3\/2*d**4 + 9\/2*d**i - 9 + 51\/2*d - 45\/2*d**2.\nAnswer: 3*(d - 1)**3*(d + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 27 + 92*w + 9*w**2 - 38*w.\nAnswer: 9*w**2 + 54*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12670 - -0.4.\nAnswer: -12669.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 170020 divided by -42505\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + 2 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -5 - (-29 - -29)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/2*(4 + 4). Let y = j - -12. Let b(z) = 3*z + 15. Let c(v) = v + 8. Let f(x) = -3*b(x) + 5*c(x). Let m(d) = 2*d + 2. Determine y*f(o) + 9*m(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/(-28)*-1*137\/((-32058)\/(-312))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255722 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38696795?\nAnswer: 5, 7739359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 5*d**2 + 6*d + 6. Let u(z) = 2*z**2 + 6*z + 3. Let b be u(-4). Let k be b\/2 - (-1)\/2. What is x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -37. Calculate the smallest common multiple of 10 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141441 + 402132?\nAnswer: -234304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 179833522 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/400 and 69\/917560.\nAnswer: 9175600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - 1 - v**3 - 15*v + 16*v - 2*v**2 - v**3 as b + f*v**2 + j*v + h*v**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1101 equal to -1101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = v - 201. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2544941 and 0.02?\nAnswer: -50898.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2821, -8201, -17169, -29725, -45869, -65601, -88921?\n\"Answer: -1794*g**2 + 2*g - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r*r*(r\/(r**16*r))\/r*r)\/r)*r*r\/(r**(2\/7)\/r) assuming r is positive.\nAnswer: r**(124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9*x - 7. Let r be l(7). Let y = r + 18. Sort 1, y, -2 in ascending order.\nAnswer: y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojuo. What is prob of picking 1 j and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j**2 + 16. Let h be p(-4). Let s = -134 - h. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.988265 years in millennia?\nAnswer: 0.000988265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 490231*m**3 - 12*m - 742785 wrt m?\nAnswer: 1470693*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*g = -0*x - 168, 2*g = -5*x - 172. Let w be x*(-8)\/16 + -7. Solve -w*c + 42 = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 191*w**3 + 282*w**3 + 74 - 3*w**4 + 2*w - 12 + 2*w**2 as j*w**2 + d + f*w**4 + q*w**3 + i*w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1077 hours in weeks?\nAnswer: 0.1792125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 3*p**2 + 82*p + 246. Let l be w(-3). Solve -4*o - 4 = l, -4*y - 14*o - 17 = -17*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68929788 divided by 12\nAnswer: 5744149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*((4*n**2 - 4*n**2 - 2*n**2)*(n**2 - 4*n**2 + 5*n**2) + n**4 + 3*n**4 - n**4 + 4*n**4 - 4 + 4).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {o: 2, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1836*o - 16 + 3652*o - 1827*o to p + v*o and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3998921 and -5.\nAnswer: 3998916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 1 (c) 2\/45 (d) 0.8 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**5 + 2*x**4 - 8002*x**2 - 160*x - 39 wrt x.\nAnswer: 20*x**3 + 24*x**2 - 16004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, t: 1, z: 6}. Give prob of picking 3 z.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 262879, 525756, 788621, 1051468, 1314291, 1577084, 1839841, 2102556?\n\"Answer: -x**3 + 262884*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 - 23*k - 5. What is the lowest common multiple of v(12) and 52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004934 to four decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 118 + 138. Let q = -61 - u. Suppose 0 = 3*o - 3, -6*a + 79 = -4*a - q*o. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249525837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.5. Let n = l + 0.2. Let q = n - -5.3. Which is the second biggest value? (a) -0.4 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 897.7604 grams?\nAnswer: 897760400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -624894*x + 18121928. What is y(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 41*f + 2165. Give g(-54).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by 1144.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 47. Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = y - 3*d, 5*d = -4*y - 16 - 4. Suppose -s - 5*h - 3 = y, 2*h + 2*h + 8 = 2*s. Solve -4*n + 1 = 3*l, s*l + 2*n = 3*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = 2*x - 319. Suppose x*o = 5*k + 250, k - 2*k - 47 = 2*o. What is the tens digit of 4*(-4 - k\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28510728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 196095472 minus -84?\nAnswer: 196095556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97445, 194904, 292363, 389822, 487281, 584740?\n\"Answer: 97459*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -10.6. Let y = 0.6 + j. Sort y, 1, 2\/15 in descending order.\nAnswer: y, 1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/3)\/c*c**(2\/9)*(c\/c**(2\/3))**(-3\/10))**(-47) assuming c is positive.\nAnswer: c**(5123\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52405 = 307*l - 84*l. Which is the second biggest value? (a) l (b) -13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183944, 183947, 183950, 183953?\nAnswer: 183956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 26. Let s = 13 - j. Suppose -4*m + 15 + 29 = s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 53*p + 6. Suppose 0 = 18*y - 1281 + 1677. Give c(y).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426991717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2632 - 1191. What is the greatest common divisor of f and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from sdgdg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 + 256 + 684 = 46*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/24 - h**3\/3 - 3*h**2\/4 + 12*h. Find o, given that m(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 20 - 14 - (-19 + -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 9*d**2 + 11 + 3*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*c = -253, -16*c + 17*c + 269 = 5*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78569380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2581*v = -2516*v - 260 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = -8. Suppose n = j*n - 36. Let r be 4\/(-18) + 62\/n. Which is the third biggest value? (a) -4 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*z + 95 + 42 = 0, 0 = -4*c - 4*z + 580. What is the remainder when 256 is divided by c?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 20 = 4*p, 8*z + 3*p = 6*z + 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/553 >= 0.133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -38*y - 68. Let j(u) = 5*u - 53. Let k be j(9). Is t(k) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 3*p + 2. Let w = -77 + 47. Let b be w\/15 + (-4)\/(-1). Let y(d) = 6*d**3 + 10*d - 7. What is b*y(g) + 7*f(g)?\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*j = -31, u + 0*u + 5*j = 22. Let g = 0.51 + -0.01. Which is the closest to u? (a) -0.3 (b) 1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appnqanuap. What is prob of sequence na?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42350 - 76100. Let m = 105950 + k. Round m to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 165*a**2 + 835*a + 675.\nAnswer: 5*(a + 1)*(a + 5)*(a + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1870850\/261 + -7168. Let k = h - -5\/522. Let m = k + -147\/116. What is the third smallest value in m, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 26 + 501*l - 500*l.\nAnswer: l + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359571691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*l - 2*r + 6, -4*l - 10 = 5*r. Suppose 0 = d + 2*u - l*u - 389, -1560 = -4*d - 4*u. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 144*m**2 + m + 1. Let s be w(-2). Let n = -2 - -5. Suppose n*z = -2*z + s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42*3 + 3 + (-12)\/4. Let d = -1894\/15 + v. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18227596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*a, 181*a - 186*a = -2*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**5*w + s**3*t**2 - 4*s**3*t*w - 2*s**2*t**2 + 2*s*t**2*w + 4*s*t*w - 29*s + t**2*w wrt s.\nAnswer: -660*s**2*w + 6*t**2 - 24*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/14535 and 43\/31977.\nAnswer: 159885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 - 2*z + 68 - 3*z - 63 + 3*z**3 + 0*z. Let b(d) = -16*d**3 + 28*d**2 + 28*d - 28. Determine 5*b(l) + 28*w(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(-4 - 1 + 3) - 3 + 2 + 2)*((113 + 23*d - 113)*(-4 - 1 + 7) - 2 - 2 + 2 + d).\nAnswer: -47*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 6*c + 19. Determine a(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 3:53 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -455467\/2 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 2430 = -0*x. Calculate the highest common factor of 324 and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.12, 0.4, -3\/2 in decreasing order.\nAnswer: 5, 0.4, 0.12, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-6)*((c*c*(c*c*c*c**(2\/5))\/c)\/c)\/c*c)\/(c**(2\/5))**(-1))**(-2\/33))**(-7\/9) assuming c is positive.\nAnswer: c**(28\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4481.786 years to months.\nAnswer: 53781.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - q + 2*q + (2 - 6 + 3)*(2*q + 3*q - 3*q) - 79 + 16871*q + 36 - 1789*q + 43 in the form k + h*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13625 is divided by 3279.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 37 - 4. Let r = 0 + i. Calculate the remainder when 18 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**4 - 39748*t**3 + 158944*t**2 - 158928*t = 0.\nAnswer: 0, 2, 9933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27447063 to the power of 1\/2, to the nearest integer?\nAnswer: 5239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.786 + 1.82028. What is t rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 30. Suppose -j = -4*v + v. Solve q + v = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0 + 3. Suppose -2*i = -2*x + 32, -52 = -f*x + 2*i - 6. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 4. Let d be f(3). Suppose -c = 2*a - 1, 2*c - 3 = 3*a - 1. Put 5, d, a in descending order.\nAnswer: 5, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66022246 + -5?\nAnswer: 66022241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-8)*9\/24*-2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 + 29*j - 120. List the prime factors of o(24).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**4\/12 - v**3\/3 + v**2. Let c(t) = t**3 + 18*t**2 - 2*t - 27. Let r be c(-18). Let s(j) = -4*j + 4. Give r*f(p) + 4*s(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -6000*y - 1\/2*y**2 + 2. Let j be u(0). What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, n: 5, v: 2}. Give prob of sequence vn.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -71*d + 10579. Determine n(164).\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7923.4803 + 7924. Let f = -0.51 + g. What is f rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1169*p**2*q**2 + 67*p**2*q - p*q**2 + 105*p*q - 333*p - 2*q**2 wrt p.\nAnswer: 2338*q**2 + 134*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 126370*s - 16806488\/7.\nAnswer: -2*(s + 19)*(s + 442276)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 14044.4 hours?\nAnswer: 50559840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13921696.\nAnswer: 2, 79, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/165)\/(4\/20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 4\/5, -4, -153, -4\/47?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - w**2)*(2*w + 2*w - 6*w) + ((3*w - w - w)*(2 - 2 + 2*w) + 3*w**2 + 13*w**2 - 7*w**2)*(-2*w + 3*w - 3*w).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/12*(-101 + -1). Suppose -q = -2, 3*p + 9 - f = -2*q. Suppose 3*x = p + 5. Solve -x*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14421*w**4 + 58*w**3 + 7*w**2 - 50143933*w wrt w.\nAnswer: -173052*w**2 + 348*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/4165?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 41. Let o be 14\/4 - 8\/b. Is 582\/(-9)*o\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 plus 485908?\nAnswer: 485986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 5 (b) 3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 22*i**2 + 1136*i + 23131. Calculate u(-20).\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 609 = -5*l + 5667, 5*l = -i + 1554. Find the second derivative of -1 - i*c - 27*c**2 + 1595*c - 40*c**2 wrt c.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001074275 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 8099*y - 8098*y + 12, 5*y - 10 = -5*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*d**3 + 2*d**2 - 103*d**3 - 105*d**3 - 3*d**2 to p + t*d**2 + k*d + a*d**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43834*o**4 + 68534?\nAnswer: 175336*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11870 is divided by 198?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t**2 + 82*t - 9. Let o be y(9). Suppose 33*p - 44*p + 605 = o. What is the highest common divisor of 55 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - 3*h + 5. Let o be y(-5). Let g(c) = -c + 26. Let n be g(16). Let p = n + -5. Calculate the highest common divisor of p and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1015, 2051, 3087?\n\"Answer: 1036*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0384374167627 + 136.\nAnswer: 136.0384374167627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*g - 296205 = 118*g. What is the highest common divisor of g and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2816 divided by 256\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 2:30 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -149107 (base 11) to base 16\nAnswer: -3892a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-210))\/(3\/(-1230)). Which is smaller: -29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1016 divided by -2\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1645 + -1638. Calculate the lowest common multiple of 11 and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/8)\/(4\/(-16)). Suppose -5*d + 90 = x*z - z, 5*d - 80 = -2*z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 3*z. Let r be 0 - 7\/((-14)\/(-12)). Let l(w) = w**3 + 6*w**2 - 1. Let d be l(r). Sort d, z, -2 in descending order.\nAnswer: z, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1055, 4215, 9479, 16847, 26319, 37895?\nAnswer: 51575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(-9)\/(-12) - 4840\/(-33440)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(180))*1 + (sqrt(180) + 3)*-1 + sqrt(180) + -4)**2 + 5 + -4.\nAnswer: -1320*sqrt(5) + 4985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4539312*j**2 - 5051592?\nAnswer: -9078624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 20*t**2 + 2*t - 19. Suppose 29*i = 32*i - 60. What is the tens digit of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 26*i - 9193. Give z(-84).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.77524 hours to nanoseconds.\nAnswer: 103590864000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234854 less than 563589?\nAnswer: 1798443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 3*w - 9. Let u be m(3). Let p be u\/18*1\/6. Which is the closest to 0? (a) p (b) -4\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5747598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(4))\/sqrt(6) + 0 + sqrt(320))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from vnxvnnnnx.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from jrrprpjjjrrjrrrvjv.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1962 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 + -1 + 1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*x - 201*x + 597*x + 691*x**3 - 196*x.\nAnswer: 691*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13033123022 (base 4) to base 2.\nAnswer: 111001111011011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*l + 2*u, 3*l + 5*u + 1 = 32. Let s(d) = 4*d + 1 - l*d + 13 + 4*d. Give s(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 9*o**2 - 49*o**2 + 0*o**3 - 6*o**2 + 162*o + 3*o**3.\nAnswer: 3*o*(o - 9)*(o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14) - (-11)\/(-77))\/(52\/637)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.19 + 0.07. Let s = -4.88 + g. Let f = -0.033 - 7.967. What is the second biggest value in f, -4\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*d - 5*l + 10, 3*l = d + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 - 3 + 5*y - 9*y + 6*y)*(991 - 81*y**2 - 991) as x*y**2 + v*y + j + p*y**3 + m*y**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 106530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 28425 = -4*q + 9*q, -2*z + q = -11367. Let j = -1481 + z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8724*u**5 - 12891*u wrt u.\nAnswer: 174480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 288 - 110 + 5*f + 9*f - 135. What is the remainder when r(16) is divided by 9\/2*(-8)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-99) + (108\/(-22) - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18611 and 3515.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(2\/9))\/r)\/(r**(-11)*r))**(-49) assuming r is positive.\nAnswer: r**(-4949\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, -98, 3, -2 in ascending order.\nAnswer: -98, -2, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**8\/84 + o**7\/210 + 7*o**4\/3 - 6*o**2 - 2. Find the second derivative of r(b) wrt b.\nAnswer: 80*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*p**3 + 330*p**3 - 189*p**3 + 366*p**3.\nAnswer: 635*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 2. Let f be j(9). What is the greatest common factor of 28 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571942383.\nAnswer: 3, 79, 2413259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7029 - 142*x - 7029 + 2*x**3 - 74*x + 216*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 159648 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 - 13) + (-1 - -1) - 0. Let b(p) = p - 1. Let w(d) = d**2 - d - 1. Suppose -3*y = -6*y - 3. Determine r*w(g) + y*b(g).\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 + 47780*x**3 - 901572*x?\nAnswer: -12*x**2 + 286680*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10a + -2a1b8?\nAnswer: -2a306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73262455 - -23?\nAnswer: -73262432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 4*t + 208 = -7*u, 0 = -4*t + 4. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48267261 is divided by 55.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12463572 and 113\/330.\nAnswer: 62317860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 92 = 73. Suppose -19 = 2*m - i. Sort -6, m, 5 in decreasing order.\nAnswer: m, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260241 and 43179?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - u**4 + 3*u + (5 + 2*u - 5)*(-5*u**3 + 2*u**3 + u**3))*(-1 - 1 + 0) to the form m*u**3 + x + a*u**2 + f*u**4 + h*u and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:07 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 14*i - 4. Let f = -69 - -97. Factor -16*n + 3*n**2 - 5*n**4 - 20*n**3 + 6*n - f*n**i.\nAnswer: -5*n*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1616, -7540, -17766, -32294, -51124?\nAnswer: -74256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 668081365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o*(o\/(o**(-1\/7)\/o))\/o)\/o)\/o)**(-16)\/(o**(-2)*o\/(o\/(o\/(o*o*o*o\/o**(6\/7)*o*o)))*o*o))**(-9) assuming o is positive.\nAnswer: o**(1899\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/7 + 27392*z\/7 - 93790208\/7 = 0. What is z?\nAnswer: 6848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29623 and 44627.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k. Let z = k - -3. What is the second derivative of j**z - j - 3*j**3 - 2*j + 0*j**3 wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4170, 14092, 30608, 53712, 83398, 119660, 162492?\n\"Answer: -z**3 + 3303*z**2 + 20*z + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 31549*n + 32 = 31532*n, 2*t + 4*n - 6 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (1 + (4*(sqrt(605) + 0) - sqrt(605)) - (1*-1*sqrt(605) + sqrt(605))*-4) + 3)*-5)**2.\nAnswer: 14850*sqrt(5) + 138150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/(-7))\/(7 - 9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.004 and -58.\nAnswer: -0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a44c (base 13) to base 11.\nAnswer: -7448a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25435 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 125 + -155 + 105 + 2\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/30)\/(4\/10). What is the derivative of -m + 4 + z**2 - 5 wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 1. What is the common denominator of (p\/(-16))\/(1\/76) and 97\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/252 + 92\/56?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -49.1. Put w, 0.2, 0, -7 in decreasing order.\nAnswer: 0.2, 0, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(2)*5)\/(sqrt(72) - -4*(sqrt(72) - (sqrt(72) - (sqrt(72) - (sqrt(72)*-2 - sqrt(72)))))).\nAnswer: 5*sqrt(7)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + (-8 - 48\/(-16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -0.061903?\nAnswer: -0.495224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/70 and 197\/512400.\nAnswer: 512400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 5*u - 65. What is the remainder when a(9) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*z**3 + g**2*z + 642*g*z**3 - 5*g*z + 3*z + 7 wrt z?\nAnswer: -18*g**2*z + 3852*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 5*l)*(-14767 + 11965 + 10085).\nAnswer: 7283*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1439892 by 159988.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57203861*y**5 - 129*y**2 + 18267*y + 2?\nAnswer: -3432231660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781621743?\nAnswer: 3, 7, 293, 127031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 24281, 0, 6, -53, -2 in descending order.\nAnswer: 24281, 6, 0, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 726?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by 54.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 1. Suppose 7 = 43*y - 36*y. Determine w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o**2 - 90 + 90 to the form w*o**2 + a*o + r and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17465 - 1319. List the prime factors of v.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15741 and 19338.\nAnswer: 9224226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3183071, 3183069, 3183067?\n\"Answer: -2*y + 3183073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(18)\/sqrt(6))*-1.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78723 + -48218. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11472 and 28918044.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 5)*(2*q + q - 2*q) - 12*q - 6*q + 4*q)*(-q**3 + 2*q**4 + q**3) - 4*q**5 + 8*q**3 - 8*q**3.\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 1\/72*p**4 - 15*p**2 + 0*p + 0*p**3 + 1 - 1\/270*p**5 - 1\/1080*p**6. Solve n(a) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 4*r - 1. Let c(w) = -6 + 8 - 11*w + 1 + 5*w**2. Give 4*c(x) + 11*h(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3931586*c**4 - 36384*c**2 + 7.\nAnswer: -94358064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 2796857.5.\nAnswer: -195780.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5523 + 8863. Is b greater than or equal to 14387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let b(c) = 2383*c. Give m(b(h)).\nAnswer: -2383*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**4\/34 - 8*z**3\/17 + 21*z**2\/17 - 20*z\/17 + 64. Find b, given that f(b) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6\/17, -0.2, 5, 248\/3 in increasing order.\nAnswer: -0.2, 6\/17, 1, 5, 248\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114642, 229296, 343902, 458436, 572874, 687192, 801366?\nAnswer: 915372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6642, 13229, 19792, 26331, 32846, 39337?\nAnswer: 45804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5448 = 10*b - 4*b. Let n = -573 + b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 10*k**2 - 5*k - 25. Let c be l(-10). Let d(j) = j**3 - 24*j**2 - 25*j. Let w be d(c). Solve 5*o - 2*b = -w*o - 4, -5*o + 5*b - 10 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*x + 2*j + 34, 2*x = j + 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (-5 + sqrt(396) + 2)*-6)*-1 + 0.\nAnswer: -26 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/52*-115*26\/299.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 16*z + 2. Let m be k(9). Calculate the remainder when (-8 - (-8 - -3)) + m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.24029mm in nanometers?\nAnswer: 51240290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104133\/280 - -2593\/7. What is the common denominator of h and 44\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624888 = 16685*h - 177975 + 1288327 for h.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1 + 2 - 9*x - 6 + 2*x**2 + 12*x. Let i(j) = j**2 + 2*j - 2. Let h(t) = 2*d(t) - 3*i(t). Let g(m) = 3*m. Calculate g(h(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f**5 + 5*f**4 + 5*f**3 - 4*f - 16. Let i(x) = -x**4 - x**3 + x. Let k(l) = -5*i(l) - w(l). Find the second derivative of k(u) wrt u.\nAnswer: 400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 35.9 (c) 0.743\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooffoodoofodfo. Give prob of sequence odo.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 496960.4 times -0.3?\nAnswer: -149088.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**5 + 5*c**4 - 15*c**3 + 5*c**2 - 2*c. Let q(b) = -11*b**5 + 9*b**4 - 31*b**3 + 9*b**2 - 4*b. Let a(k) = -3*q(k) + 7*w(k). Solve a(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 7) in base 5?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36309793 and 7771.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyayayfffalayff. What is prob of sequence aaay?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -880 (base 12) to base 9.\nAnswer: -1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n - 128. Let x be t(12). Calculate the greatest common factor of 36 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 4)*(-2 - 2*y + 4 - 6*y).\nAnswer: 72*y - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94385910319 - 121.\nAnswer: -94385910440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -753c9 - 4?\nAnswer: -753cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 9. Calculate the greatest common factor of 27 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 2*q + q. Let v = -113 + q. Solve v*g = 2*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, -1\/4, -4\/3, -0.3 in decreasing order.\nAnswer: 3.4, -1\/4, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*h**3 + 2\/3 + 1\/3*h - 2\/3*h**2 = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 118*c**2 + 9*c + 533. Let s be t(-59). Factor -75\/4*b**s + 60*b - 48.\nAnswer: -3*(5*b - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -301*s - 1178. Let k(x) = -134*x - 589. Determine -4*g(t) + 9*k(t).\nAnswer: -2*t - 589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001192556 to six dps.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2013*l - 36 = 2001*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178964\/555 > 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -5. Let u(g) be the second derivative of 1\/6*g**3 - 5\/2*g**2 + 7*g + 0. Let j(n) = 1. What is a*j(y) - u(y)?\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 1 - 1)*(-3 + 2 + 2)*(-23 + 69 + 46)*(3 + 0 - 2 + (7 - 8 - 4)*(1 + 4 - 6)).\nAnswer: 1656*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4 - 10 + 42 - 37. Let h(x) = -17*x**2. Determine -h(u) - 2*y(u).\nAnswer: 17*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4329780 and 3588?\nAnswer: 99584940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -849856 bigger than -849811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)\/(m\/m**(-4\/17)))**(25\/6) assuming m is positive.\nAnswer: m**(-1875\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (4 - 1) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1698216569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*b + 52 - 319 = 3*n, 445 = -39*n + 48*n + 5*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.221 take away -6?\nAnswer: -9.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -1\/3*z**4 - 8*z**2 + 2*z + 0 + 8\/3*z**3. Factor o(j).\nAnswer: -4*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11840105567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088) + -1*sqrt(1088) + sqrt(1088) + ((sqrt(1088)*-2)**2 - sqrt(1088))*3)*-1*-5*1.\nAnswer: -80*sqrt(17) + 65285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01309754 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 1604468*g - 643579390756.\nAnswer: -(g - 802234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (14 - (-20 - -54)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3 + 6537087*q**2 + 5869*q + 12051?\nAnswer: 6*q + 13074174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 8:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 5. Let j be 3 - 0 - -2*(-3)\/(-6). Suppose j*g + 0 = -2*b + 2, 2*b + 8 = g. Let a be v(g). Solve 0 = -4*f + a*n - 1, n = -2*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m**2 - 74*m**2 + 40*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -66*w. Let p(q) = -4*q**2 + 4*q**2 + 16*q**2 - 14*q**2. Determine g(p(i)).\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 16*x - 17*x = 218, -v + 106 = -2*x. Suppose -k + v - 98 = 0. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 6 + 6*v + 2*v**2 + 2*v. Let f be g(-4). Let n = f + 0. What is the highest common factor of 33 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46942293 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3174030556?\nAnswer: 2, 83, 9560333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 16*y - 23. Let n be o(-13). Suppose -6*f + 2*f + n = 0. Solve 7*h = 5*a + 2*h - 30, f*h + 12 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 252*k - 2030. Determine x(135).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 173.4.\nAnswer: -173.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6b8a0 (base 16) to base 6\nAnswer: -13235132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6797030 is divided by 339848?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 23 + (26 - ((6 - -7) + 8)) + -1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10487.2 + -10487. Suppose 2*f - 8 = 3*a, -3*f = -4*a - 14 + 3. Sort m, f, -2\/5, 1\/6 in descending order.\nAnswer: f, m, 1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 0.05 (c) -0.12 (d) -534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = -4. What are the prime factors of 1 + (0 - h)*8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o - 1\/240*o**5 - 28*o**2 + 0 + 0*o**4 + 3\/8*o**3. What is w in x(w) = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1198691 and 5083?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8687723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) -1\/3 (c) -5 (d) -1\/8 (e) -0.0323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkkkbrkbkbrtkbtrrkt. Give prob of picking 1 r and 3 k.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 85300414.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/153 + -32\/153. Let r = 0.06 + -0.46. Suppose -72*k = -68*k. Which is the closest to k? (a) r (b) f (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 52?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 363826155 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 y = -392895563 + -6457818. Let w = y + 399353382.61000101. Let m = w - 1.61. What is m rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 + 4*n**4 + 3*n**4)*(-3 + 2 - 1 + (2 + 0 - 1)*(2 - 4 + 0) - 3 + 1 + 3)*(1 + 2 - 4) + (3 + 2 + 0)*(2*n**4 - n**4 - 8*n**4).\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -35.66. Round m to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = -2*j + 100, 4*i + 220 = 5*j. Suppose j = 5*g + 5*h, -3*g - h + 17 = -7. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*-0.2.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11*n**3 - 1 - 30*n**3 - 70630*n**2 + 17*n**3.\nAnswer: -2*n**3 - 70630*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003130 (base 4) in base 5?\nAnswer: -114231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3570, 7599, 12076, 16995, 22350?\n\"Answer: -t**3 + 230*t**2 + 3346*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27647\/69080 + -3\/13816. Let s = 1.95 + 0.05. Which is the closest to s? (a) z (b) 0 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a factor of 15559777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11321011 (base 4) in base 13?\nAnswer: -aca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(-30)\/(-225).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p - 48 = -69*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.86 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6))\/5*(-15)\/(-55)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*o + 4*p = 3, 3*o - 9 = 3*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) + 24\/72. Which is bigger: z or 1\/83?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -8. Let l = n - 1. Calculate the remainder when 23\/(25\/5 + -4) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -18. Let n = w + 16. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 2 - 100306*l - 6051*l - 3.\nAnswer: -2*l**3 - 106357*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 257633326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-1 + 2.\nAnswer: -12*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 440840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 74*h**5\/3 + 42006*h**4 + 51770840*h**3\/3 - 538683136*h**2 - 1577699584*h\/3 + 29998240 = 0?\nAnswer: -866, -1, 2\/37, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13911.\nAnswer: 3, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(7) + -2*sqrt(7))*1))**2 + 5.\nAnswer: 96*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3.4, 3\/5, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 28 = -4*l + 4*q, 5*l + 41 = q. Let d(c) = c + 14. What is d(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = b - 277*c + 280*c, -3*c - 102 = -2*b - 76 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -216.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddhbbhb. Give prob of sequence dbhb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(2736) + -2 + -3))**2*-4*-6.\nAnswer: -16128*sqrt(19) + 267360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 46968 = 15244. Is 77 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h + 7 = -3*d, -5*d + 2*h = 18. Put -5, 29, 0, d in ascending order.\nAnswer: -5, d, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36041110897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*o + 255, -6*m = -o - 3*m + 51. Let x = o + -15. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-4 - (-4)\/8*9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrbn when four letters picked without replacement from prndnbd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -101, -156, -227, -320, -441, -596, -791?\n\"Answer: -g**3 + g**2 - 41*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 53. Let d be m(-14). Suppose -24 = -3*i - 3*y, 3*i - y - 19 = -3*y. Solve -3*q = -i - d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77750?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.01 + -14. Let y = -0.99 - s. Let v = 89 + -799\/9. What is the smallest value in -5, y, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 34121 = -b, 41*z = -2*b + 43*z + 68250. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212111011002 (base 3) to base 2.\nAnswer: -111110110000110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1 - 1 - 7 - 13 - 11*w. Calculate the remainder when b(-11) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from shsbhslshb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-72)\/20)\/(-3))\/((-8)\/520))\/((-84)\/(-8)).\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20430 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1479654?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3680b5 (base 14) to base 13.\nAnswer: 5044b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5425 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 508*c**3 + 72*c**5 + 63*c**5 + 509*c**3 + (2*c**2 - 2*c**2 - 2*c**2)*(-c**3 - 1 + 1).\nAnswer: 137*c**5 + c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -106114*a. Let h(d) = -2*d. What is h(z(q))?\nAnswer: 212228*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1118 plus 0.20461?\nAnswer: -1117.79539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7.6. Let p = l - -4.4. Let g = 0.6 - -0.4. What is the nearest to 0 in g, 4, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 - 2*p. Let c be m(3). Suppose w + 8 = c*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61159.\nAnswer: 7, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 556143436 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 655188195 to the power of 1\/2, to the nearest integer?\nAnswer: 25597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4, 56*t - 53 = -5*y + 52*t. Let d = -47 + 50. What is the least common multiple of y and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-280))\/((-186)\/14845). Let c = q + -1\/186. What is the common denominator of c and (-47)\/18 + (-2)\/(-4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 40, -0.07, 2, 7\/3, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363460597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2379524.244823 - -38.\nAnswer: -2379486.244823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7 + 5*y - 7*y - y + y**2. Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -2.6. Let g = -106 - -116.2. Let s = -9.2 + g. Which is the nearest to -1\/4? (a) l (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 2*k - 14, -4*k = 4*i - 8. Let f(m) = 649 + 647 + 645 + 645 - 3236 + 649. Let y(j) = -j - 1. Calculate i*f(b) + 2*y(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1703 - -1871. Calculate the lowest common multiple of 840 and g.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -23. Let x(z) = -r*z + 2*z - 6*z - 3*z. Let a(f) = -4*f**2 + 7*f. Let j(n) = -2*n**2 + 3*n. Let k(w) = 3*a(w) - 7*j(w). Give k(x(m)).\nAnswer: 200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -230*b**2 + 2. Let k(x) = -x. Calculate k(h(g)).\nAnswer: 230*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Suppose y - 20 = 51. Suppose -3*a = -2*a + t*x - 29, 3*a - y = -x. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.4, -0.4, 6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 1813908. Let u(s) = 6*s**2. What is g(u(y))?\nAnswer: 18*y**2 - 1813908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 + 17*a + 6. Let w be g(4). Let d(z) = 5*z**2 + 32*z + 15. Let q be d(w). Solve -28 = 5*v - q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73240617 to the power of 1\/2, to the nearest integer?\nAnswer: 8558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 1 y when three letters picked without replacement from exexxkyx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1320 - (-1 + 4 + 50\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-2) - 0)\/(-1). Let z(q) = n*q + 1 + 3 - 10*q + q**2 - q. List the prime factors of z(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:47 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 133 - -842?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296*g = -1312*g + 112 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 + 3*s. Let w(z) = -4*z**3 - 3*z**2 - 10*z. Let g be (-58)\/319 - 20\/11. Let n be 13*4\/(-24) - g\/12. What is n*w(a) - 7*k(a)?\nAnswer: a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrg when three letters picked without replacement from rgxnljr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1860?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**2. Let p(q) = -285*q. Calculate k(p(w)).\nAnswer: 893475*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**17*m)\/m**(-3)*(m**(-2\/57)\/m)\/m**13)**(11\/2) assuming m is positive.\nAnswer: m**(5621\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 310 = -4*w. Let r = 156 - w. Suppose r = 4*h + 17. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50471658 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3625432\/1505 - 1362\/301. Let k = 24167\/10 - j. Calculate the common denominator of (-7*(-4)\/50)\/((-4)\/15) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}