diff --git "a/data/dm_maths/full_data/1965_11255.jsonl" "b/data/dm_maths/full_data/1965_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1965_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 332*r**3 + 353*r + 816*r - 1169*r.\nAnswer: 332*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, c: 4, p: 3, l: 4, t: 1, u: 1}. What is prob of picking 1 c and 3 l?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 + 7 = 0. Let y be 0\/(d - (2 - 3)). Let k = 0.1 + 0.1. Which is the closest to y? (a) -4 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/21 (b) -1\/7 (c) -0.083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5207, -5229, -5253, -5279, -5307?\nAnswer: -5337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17748 - 5*v + 17748 + (2 + 2 - 3)*(-v + 3 - 3) + 2 + 2*v - 2 in the form z + j*v and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.3. Let c = 447 + -448. Is t bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a + -1?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -67\/46, 5276, 0, -3 in descending order.\nAnswer: 5276, 0, -67\/46, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2. Let o(b) = 2*b - 71. Determine v(o(g)).\nAnswer: 12*g**2 - 852*g + 15123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/245 and 57\/10 + -6 + 6 - 6.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725961 is divided by 626.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100475547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**5 - 943300*f**4 + 44486027465*f**3 + 444984796530*f**2 - 1423492509600*f - 17086257072000 = 0.\nAnswer: -8, 6, 94335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n + 33. Let a(o) = -7*o + 16. Let p(v) = -5*a(v) + 2*r(v). Let c be p(4). Suppose c*w = -4*w + 40. Solve 3*i + 7 = 3*d + 2*i, -4 = w*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f + 0 - 2 - 1 + 0*f. List the prime factors of z(-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3) + -4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + -89.1. Let u = b + 37. Let q = u + 55. Does 7 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**3 + 12*l**2 - 8*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-22) + -2)\/(2\/4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69037*n**2 - 4080*n - 5 wrt n.\nAnswer: -138074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2 = -j, -2193*j + 2198*j + 20 = 5*n for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 273*t - 4. Let m be g(4). Suppose -10*q - m = -27*q. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 + 7*a**4 + 0*a**4 - 2*a**3 - 4*a**4 - 3*a**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 6*k**2 - 18*k + 17. What is w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -349 - -602. Suppose 0 = 3*k + 3*m - z - 152, 3*k = 3*m + 417. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11)*-4 + sqrt(11)) + sqrt(847) + -2.\nAnswer: -2 + 32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6156375, 6156365, 6156353, 6156339, 6156323, 6156305?\nAnswer: 6156285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 4*u - 1. Let d(f) = -2*f - 1. Let x(j) = b(j) - d(j). Let n(r) = r + 1. Suppose 3*m = h - 11, m - 2*h + 5 = -h. What is m*n(o) - 2*x(o)?\nAnswer: 2*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((0 - -1) + 8\/(-16)). Find the third derivative of 78*f**j + 48*f**2 - 103*f**3 - 163*f**2 wrt f.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 41*f**2 - 116*f - 66. Give w(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217522786 to the nearest integer?\nAnswer: 14749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606.8316 meters to centimeters.\nAnswer: 60683.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1309 divided by 119.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -319833246009 + 0.3?\nAnswer: -319833246008.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -5*o**4\/8 - 22*o**2. Let v(a) = 247 - a**2 - 247. Determine v(p(z)).\nAnswer: -225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.01.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4*z = -32, -4*g + 84 - 67 = z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*h - 6 = h, -2*h + 16 = 5*g. Let p = -9 - -18. Calculate the remainder when p is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(-34 - 35 + 65 - 24*w**2).\nAnswer: 48*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*h + 12, 0 = -16*f + 21*f + 20. Let v be -4 - (-4 + 4 - 3). Put 4, 12, v, h in descending order.\nAnswer: 12, 4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*n = -2207, 0 = -v + n + 2*n + 556. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -3) + -3 + 41 + 1. Let t = m + -35. Let i = -17 - -24. Calculate the highest common divisor of t and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43857, 87722, 131589, 175458, 219329?\nAnswer: 263202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 116\/28 - (-1)\/(-7). Solve -5*h - 4 = -f*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 89*m - 4269. Let z be x(48). Solve 6*b + 4 = -2*a + 4*b, 9 = -z*a - 4*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 5*v + 3*v + 1 + v - 1 + (-4*v + 6*v - v)*(-5 + 0 + 4) + 0*v + 0*v - 2*v - 3*v + 2*v - v)*(v**2 + 5*v**2 - 3*v**2).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 225. Calculate the remainder when a is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2834*t = 2841*t - 140. Calculate the least common multiple of t and 25 + 2\/4*-2*3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -2 - (6 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) + 256\/40 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.019 (c) -39 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w - 101. Calculate p(-11).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*l = -s - 6, -3*l = -2*s + 14. Suppose 3*z - 2 + 10 = f, -s*f = 5*z - 15. What is the lowest common multiple of 7 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q + 2 - 67*q - 1 - 111*q.\nAnswer: -210*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (27\/6 + 374\/(-44)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 40\/6879 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let o be 2\/(-3)*(-3)\/(-801)*-3. Let u = o + 793\/1068. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -8?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4392 by 6.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:18 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)\/((-4)\/(-12)). Sort i, 2, 5.\nAnswer: 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1853 = f, -3*f + 615 = -4*m - 4942. What are the prime factors of f?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.5 + -4.4. Let k be 14 + (0 - -1) + -3. Let u be k\/(-8)*1\/(-12). Which is the third smallest value? (a) u (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 7:53 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**2 - 336251515*y - 96071862.\nAnswer: (y - 48035931)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43203665, -43203676, -43203689, -43203704, -43203721, -43203740, -43203761?\nAnswer: -43203784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + 11*v**3 - 8*v**3)*(-9 - 1 + 4).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -153, -288, -499, -810?\n\"Answer: -4*h**3 - 2*h**2 - 49*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2 + (-4)\/(-4). Let o(g) be the third derivative of -20*g**2 - 1\/6*g**3 + 0 - 7\/24*g**4 + 0*g. Give o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15624 in 47, -2, 0.4, 5, -1\/6, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8445050 (base 9) to base 16\nAnswer: -44ef1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/2))**41)**(-37)\/((s**1)**(-45))**(-9\/7) assuming s is positive.\nAnswer: s**(-32667\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 6, 5 in decreasing order.\nAnswer: 6, 5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -23, -29, -35?\n\"Answer: -6*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102244 divided by 6?\nAnswer: 51122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 658, 1482, 2622, 4072?\nAnswer: 5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-469 - 62 + 61)*(-2*y + 2 - 2) + (-2*y + y - y)*(-1 + 1 + 3).\nAnswer: 934*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = -6*n + 9*n, -n + b = -3. Suppose n = -6*j + 6 + 6. Suppose 112 = 5*o + 32. Calculate the highest common divisor of o and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 70 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4234926 and -54\/11.\nAnswer: 46584186","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l**4 + 46*l**4 - 67*l**4 + l**2)*(0*l + 3*l - 5*l).\nAnswer: 78*l**5 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evyv when four letters picked without replacement from {v: 6, e: 8, y: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**6\/360 - u**5\/60 + u**4\/24 - 2*u**3\/3 + 2. Let m(k) be the third derivative of r(k). Factor m(v).\nAnswer: (v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1221 and 4521?\nAnswer: 167277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 128009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 593, 2402, 5417, 9638, 15065, 21698, 29537?\nAnswer: 38582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -11 - (3 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:35 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-10)*7\/(-84)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -288320 divided by 272\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose 0 = a + f*a - 24. Let s = 12 - a. Solve s*o - 5 = 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.9 - 64.65. Which is the third smallest value? (a) -1 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 369, 3 in descending order.\nAnswer: 369, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*y**2 - 1257.\nAnswer: 254*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 881311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 - 342 + 1037 + 380*q - 347.\nAnswer: 380*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.061, 4, 96, -13 in decreasing order.\nAnswer: 96, 4, -0.061, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699443, -1398885, -2098327?\nAnswer: -2797769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(72)\/(sqrt(27)*-5))\/((-2*sqrt(864))\/sqrt(3)).\nAnswer: -3 + sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213422 - -10224?\nAnswer: 224201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2*(-3)\/(-6). Suppose -2*s = -2, -y = 2*s - 4*s - c. Suppose 2*m = y + 1. Solve -3*f + m*f = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7275*s**4*x + s*x**2 + 22512*x**2 wrt s.\nAnswer: -29100*s**3*x + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*n - 336, 497 = 2*g + g - 4*n. What is the remainder when g is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/27)\/((-2)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5652, -11304, -16956, -22608, -28260?\nAnswer: -33912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2 - 1005012*b + 2010036 = 0. Calculate b.\nAnswer: -335006, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or 1.057?\nAnswer: 1.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:42 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 12, n: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v. Let n(c) = -2*c**4 - 14*c**3 + 8*c**2 - 4*c. Let z(a) = 12*l(a) - n(a). Factor z(m).\nAnswer: 2*m*(m - 2)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 0, -2*w + 75 = -u - 47. What is the greatest common factor of 3286 and w?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 2 + 19 - 22. Let k be (-10)\/(-8) - 9\/(-36)*-1. Let p(m) = m - 3. Determine k*p(w) - 3*a(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196871637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 - 5*s + 6. Let h be r(2). Suppose 0 = -4*u + h, -z - 2*u + 3*u + 1382 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -294 - -227.2. Round j to 0 dps.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362.24 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -483 - 491 + 5*z**3 + 2*z**2 + 1020 as n + p*z**3 + v*z**2 + r*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 6. Let u be l(-8). Suppose -u*m - 3 = -3*m. Solve 0*b - m*b = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b + 11. Let l(h) = 3*h + 4. Suppose -5 = 5*o, 5*j + 2*o - 4 = 6*j. Determine j*f(g) + 17*l(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33 - -90931\nAnswer: 90964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*r = 424*r - 89*r + 6981 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30919 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 60. Solve 5*h + p = 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.77 - 45.77. What is the closest to k in -0.5, 0.5, 2, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16431*k**3 - 14220*k**3 + 30650*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 539723581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + -2)\/8*-20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 561130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((-81)\/(-126))*(-36)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-25)*140\/28?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -498, -494, -492, -492, -494, -498, -504?\n\"Answer: -b**2 + 7*b - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -132743587.\nAnswer: -1\/132743587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 130.\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 5 + 2 + 7 + f - f + 2*f**3 - f as v*f**2 + u*f + w*f**3 + h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87880986 to the power of 1\/2, to the nearest integer?\nAnswer: 9374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y**3 + 2)*(-y**2 - y**2 + 0*y**2) + 1281*y**5 + 1945*y**5 + 403*y**5.\nAnswer: 3631*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9283*o**5 + o**2 + 959*o - 3?\nAnswer: -185660*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5 + 2 + 4 - k + 1. Let o be p(0). Sort o, -1, 4 in increasing order.\nAnswer: -1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77))\/sqrt(7) + sqrt(11) + -1 + -4 + -6*(sqrt(275) + -2)**2.\nAnswer: -1679 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/82 - ((-94668)\/(-2009))\/(-23))\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152325, 152341, 152365, 152397?\nAnswer: 152437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 769463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5887816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 12*w**2 - 29*w + 31. Let v be d(-8). What is the highest common divisor of v and 266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 4. Let u = l + 1. Solve -u*n = -4*r + 28, r - n = 6*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001010100110 (base 2) to base 13\nAnswer: -2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4231*d*l*m**4 + 3*d*l*m**2 + 3*d*m**4 - 1081*d*m**2 - 5*d - 2*l*m**4 + l wrt m?\nAnswer: 101544*d*l*m + 72*d*m - 48*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 37 + 165*k**3 - 7*k**2 - 3*k + 4*k + 10.\nAnswer: 165*k**3 - 7*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46274, 185295, 417002, 741401, 1158498?\n\"Answer: m**3 + 46337*m**2 + 3*m - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/((-30)\/(-16)))\/(6\/(-27)). Let s = g - 823\/115. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -dd32?\nAnswer: -dd3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-72)*-2*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbuuuyutuuuuypuuyuy. What is prob of sequence ubp?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 32 + 95. Let p = o - -130. Solve -6 = -p*w - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.8729g in milligrams?\nAnswer: 535872.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose a*d - 8 = -2*d. Solve 0 = -d*t + t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2 - 10*a - 3. Find the first derivative of p(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774289.\nAnswer: 774289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -97?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -27*k - 209. Put -4, 36, 1, k in ascending order.\nAnswer: k, -4, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {u: 8, b: 2, l: 2, z: 5}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 377?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250949 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -19, 3, -115, 2.\nAnswer: -115, -19, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 4 + 8*i - 15*i. What is the units digit of n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/6 - (-353472)\/23670?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*n - 54 + 51, -9 = -g + 2*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1) + 4 + 2. Let v = j + -5. Solve -o - o = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**6\/360 + y**5\/120 + 2*y**3\/3 - 1. Let o(t) be the third derivative of k(t). Factor o(d).\nAnswer: -d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -19. Let r = 1 - -3. Suppose 0 = -3*h + 2*h + x + 9, 4*x - f = -r*h. Calculate the least common multiple of h and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -691.1 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w + 0 + 0 + 2*w - 3 + 3 + (-2 + w + 2)*(1 + 4 - 4) - 218 + 55*w + 218.\nAnswer: 64*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 0*v**2 - 3*v**2 - 47*v.\nAnswer: 4*v**2 - 47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -2*w**3\/3 - 11*w**2\/2 + 7*w. Let l be ((-1)\/4 - (-20)\/(-16))*10. List the prime factors of a(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.94724 minutes to microseconds.\nAnswer: 56834400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -192, 3880, 1 in increasing order.\nAnswer: -192, 1, 3880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 - 13 = -4*b, 0 = -4*b + d + 17. Let v be ((-2)\/4)\/(b\/(-20)). Is (43 - v) + 2\/(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70.61 in -74, -3\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 12:26 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 plus -0.9025?\nAnswer: -1.0625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 4*g - 1. Let r be m(5). Is 1415\/10 + (-9)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2527*a**3\/3 + 876. Let i(m) = -2*m**2. Give l(i(s)).\nAnswer: 10108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 2*m**4 - m**4 + 3*m**4 + 10*m**3 - 10*m**3 + 2*m**4 - m**4 - 4*m**4 + (3*m**3 + m**3 - 5*m**3)*(-2*m + 0*m + 0*m) - 3 + 3 - m**4 - 4 + 4 + m**4.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612) + sqrt(612)*-2)*6 - (-3 + 3*sqrt(17) + 3 + 1 + sqrt(17)).\nAnswer: -40*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9016, -13, -1, 0, 5, -5 in increasing order.\nAnswer: -13, -5, -1, 0, 1, 5, 9016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-12)\/20 - 28\/(-5). Suppose -h*y - 4*z + 3 = 0, -2*y + y - 6 = 3*z. Solve -3*d = -3*u + 9, -d - d = y*u - 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894494669?\nAnswer: 6763, 132263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -1.19 (c) 0 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4, 2\/93, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79190227*c*q - 76579*q + 3 wrt c.\nAnswer: 79190227*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + 7 + 5*n**2 - 3 + 9*n + 0*n**2. Calculate r(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(405) + 0) - (4*-1*sqrt(5) - (sqrt(15) + sqrt(60)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 8*g**4\/3 + 314*g**3\/3 - 80*g**2 = 0.\nAnswer: -40, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*g**4 + 37*g**4 - 39*g**4 + 39*g**2 wrt g.\nAnswer: -672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 4. Give w(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 89.55 * -4\nAnswer: -358.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 20*z**2 + 6*z - 114. Give q(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 20*c - 120. Let r be v(6). Let g(j) = -27718 + r*j + 27715 - 4*j. Determine g(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28679 = 1409*y - 15000 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45764?\nAnswer: 2, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1392*d - 21. Let m(f) = -2513*f. Give m(l(v)).\nAnswer: -3498096*v + 52773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y - 143. What is a(-2)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-40)\/15)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 442601?\nAnswer: 442612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -220640 divided by 10?\nAnswer: -22064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6972655.\nAnswer: 5, 107, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 20*h**2 + 88*h - 8. What is the thousands digit of j(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from rbbbrbbb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -442*(-45)\/2340*(-2)\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -109681.1 - -57.94\nAnswer: -109623.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2035395501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.26333602 rounded to 2 decimal places?\nAnswer: 13.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 14 = 4*k. Suppose i = k*c + 105, i = 6*i - c - 597. Suppose 0 = 2*h + 4*s - i, h + 333 = 6*h - s. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*j - 165*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let r(y) = -6*y + 1138. Give r(g(a)).\nAnswer: -6*a**2 + 1138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*r + 3*q - 7, -3*r + 5*q - 17 = 0. What is the second smallest value in -3, 368, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1 + 3345*k**3 + 3 - 6 - 2 - 2*k**2 to the form z*k**3 + v + y*k**2 + a*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12166)*1376179\/(-252). Let k = 1\/9954 + v. Calculate the common denominator of (-95)\/38*((-10)\/7 - 1) and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-66))\/((16 + -4)\/108)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*((-2)\/4 + 12\/40). Sort y, 5, -2 in descending order.\nAnswer: 5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 17.9. Suppose 1 = 2*z - 3. Let i be z\/15*(1 - 4). What is the closest to -1 in -2\/13, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 10*k + 49. Let i be p(-14). Find the common denominator of (-2)\/7 - (430\/112 - i) and -22\/109.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49692 + d**2 - 49692.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -4\/9 (c) 0.5 (d) 2.98 (e) 0.355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207688198 take away 2677105?\nAnswer: 205011093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(2)*-3 - sqrt(2)) + (sqrt(18) - (sqrt(288) + sqrt(288)*-1))**2.\nAnswer: -3*sqrt(2)\/4 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2268)\/(-56) + -42)*((-16)\/(-66))\/1\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 2 - 2*z + 5*z)*(2 - 24 + 3) + ((-4 - 1 + 4)*(-1 - 1 + 3) - 10 - 1 - 22)*(z + 2*z - 6*z).\nAnswer: 140*z - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2008600*d*u + 8*d + 177084317*u wrt d.\nAnswer: -2008600*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(0 + 18\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2)\/4 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280730 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 591, 8, 5, -57, -7, -3 in increasing order.\nAnswer: -57, -7, -3, 5, 8, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171870, -343746, -515624, -687504?\nAnswer: -859386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -p - 34, -5*n + 1416*p = 1411*p - 60. Let a = -4 - -6. Suppose a*f = -f + 231. Calculate the greatest common divisor of f and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n)**(-2)\/(n**(1\/3))**(-22))\/((n**(2\/9)*n*n**6)\/(n**(-4\/3)\/n*n\/(n*(n*n**(1\/6))\/n))) assuming n is positive.\nAnswer: n**(-115\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4291201 milligrams?\nAnswer: 0.0004291201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*d + 0 - 4 = 0, -l + 4*d = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 61 = -629. Suppose 0*v + 4*w = 3*v - 77, 3*v - 5*w = 79. Calculate the greatest common factor of v and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:14 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*y - 73, 0*y + 4*y = 4. Let u = f + 28. What is the remainder when u is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (153\/(3 - 6))\/(-1). Suppose 4*z + j = 2*d + d, -5*d + 85 = 4*z. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 465.617t?\nAnswer: 465617000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224648970.\nAnswer: 2, 5, 1787, 68531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 7*f - 36. Let m(j) = -j**2 + 9*j + 55. Let c be m(13). Suppose 0 = c*t + t - f. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3. Let z be h(0). Suppose z = l - 3, -4*l + 13 = 2*v - 7. Suppose -t = 2 - 5. Solve j = t*j - v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**4\/12 - 3*y**3\/2 + 5*y**2 + 595*y. Factor b(p).\nAnswer: -(p - 1)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00862 + 31\nAnswer: 31.00862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 1\/(-8)*16\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-48 + 17 - (-31 + -13 - -22)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, -4 in increasing order.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9500*z**3 - 2*z**2 + 298478?\nAnswer: 28500*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 263147*x**3 - 733*x**2 - 733*x - 733. Let s(b) = 1438*b**3 - 4*b**2 - 4*b - 4. Calculate -4*i(g) + 733*s(g).\nAnswer: 1466*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/2 - 5*q**3\/6 - 45*q. Let z(f) = -7*f**2 + 6*f. Calculate 6*p(u) + 5*z(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1\/394 (c) -2\/5 (d) 3 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3544*x**2 + 1 - 5*x**3 - 17*x - 3544*x**2 to r*x + p + y*x**2 + f*x**3 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 35?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w. Let d(n) = 42*n. What is -36*c(s) - 5*d(s)?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from nvnnbbtbtbmy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -a - c + 7, a - c = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10477 (base 8) to base 10.\nAnswer: -4415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -14 - (13 + 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3172*v**3 + 14*v**2 - 2*v + 24. Let r be o(17). What is r rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**2 + 1. Let r(t) = -5*t**2. Determine z(r(f)).\nAnswer: -275*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z + 3. Let y(b) = -b**3 - 19*b**2 - 11*b - 11. Let j be y(-8). Is (2 - 1)\/(z\/j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 1470 (c) 1 (d) 0 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4269 less than -137717?\nAnswer: -133448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 4*j**2 - 7*j**2 + (0 + 2 - 1)*(4*j - j - 2*j)*(0 - 1 + 0)*(3*j + 0 + 0) in the form k + p*j + a*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 93177.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1180494, -1, -3 in ascending order.\nAnswer: -1180494, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 - 8 = 0. Solve 3*b - w = 3*m - 8*m, 0 = -2*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 2:51 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19726168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1223837 = -163*w + 795570. Which is smaller: 12391 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11784.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 33. What is the remainder when 73 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704 + 682 = 11*g. Put 993, g, 2 in descending order.\nAnswer: 993, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44933835?\nAnswer: 3, 5, 23, 139, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1 - 2*k + 183*k**3 - 181*k**3 + 2 - 4 - 5*k**2. What are the prime factors of p(4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231666 is divided by 1346?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1 + 13*d + 1. Let u(f) = 12*f + 15. Let p = -579 - -583. Let o(w) = 10*w + 12. Let n(g) = p*u(g) - 5*o(g). Calculate a(n(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -37*y**4 - 75*y**3 + 13*y**2 + 3*y - 3. Let s(v) = 36*v**4 + 75*v**3 - 14*v**2 - 4*v + 4. Let c(m) = -4*g(m) - 3*s(m). Factor c(d).\nAnswer: 5*d**2*(d + 2)*(8*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = 10. Let m = v - -5. Let o = -3 + 3. Solve -4*w - m*f - 22 = 0, o - 8 = w + 3*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**7\/35 - b**6\/3 + 47*b**5\/50 - 31*b**4\/30 + 2*b**3\/5 - 55*b. Find h such that p(h) = 0.\nAnswer: 0, 1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, c: 6, d: 1, n: 1, o: 1}. What is prob of picking 1 b and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -r - 10, -2*v + 5 = -5*r + 3*v. Is r\/(-14) + 1\/((-7)\/(-28341)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 112\/(-49))\/(2\/21). Calculate the greatest common factor of t and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305*g**4*y + 381*g**2*i*y**2 - 3*g*i*y - 24*g*y**2 + i*y - 19*i - 11 wrt g.\nAnswer: 3660*g**2*y + 762*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -103484 != -104267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h + 68. Let x(t) = 6*t + 79. Let k(i) = 5*f(i) - 4*x(i). Give k(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*h - 22. What is the highest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -11, 2, 5309, 5, 4, -3 in ascending order.\nAnswer: -22, -11, -3, 2, 4, 5, 5309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (28800\/(-108))\/(-10).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 183.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2. Let u(m) = -8*m**2. Calculate u(l(t)).\nAnswer: -392*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e98e6 (base 15) to base 10.\nAnswer: 1500516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 79*n - 374. Give p(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2. Let b(a) = -96*a**2. Determine n(b(p)).\nAnswer: 18432*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/60 + 8*w**2 - 52. Let g(i) = -70*i - 4. Calculate x(g(s)).\nAnswer: -4900*s**2 - 560*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501525.8 nanometers to centimeters.\nAnswer: 0.05015258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 88*l - 255. Let n be m(32). What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 488576\/191 + -2558. Is x at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and (0 + 3)*-1*-3.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043112888?\nAnswer: 2, 23, 16538657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -14.93. Let k = -0.039 - 0.231. Let h = k + f. What is the third biggest value in 0.3, h, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3372 (base 9) in base 8?\nAnswer: -4677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 77514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3229362 by -79.\nAnswer: 40878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18341\/3 + 55031\/9. Let -2\/9*c**2 + 2\/9 - 8\/9*c**3 + z*c = 0. What is c?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 14*z + 1081 = 586 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m. Let k(z) = -124*z + 234*z - 119*z + 23 + 10. Let d(q) = -q + 3. Let g(i) = 22*d(i) - 2*k(i). Calculate j(g(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3. Let c be (-9)\/15 + (-60)\/25. Let b(g) = g - 1. Give c*b(y) + z(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 363 - 727\/2. Sort 2\/7, q, 80.\nAnswer: q, 2\/7, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -470, -930, -1378, -1808, -2214, -2590, -2930?\n\"Answer: a**3 - 467*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 < 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -40*x + 70*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138733974, 138733970, 138733964, 138733956, 138733946, 138733934?\nAnswer: 138733920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4708, 4700, 4684, 4660, 4628?\nAnswer: 4588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 165 + 39 = 0. Let j be -3*19\/p*-1. What is the nearest to j in 0.2, -5, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -214946 and 0.2?\nAnswer: 214946.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/11 + 13\/22. Determine i, given that 0*i - 5\/2*i**3 + 0 - 2*i**4 - c*i**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000582736 to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:24 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -742+-15\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12255569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-108))\/(9\/27).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 20\/(-4 - -9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73305721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 9*c + 2. Let x be n(5). Let j be (-135)\/((-4)\/(-8) + -2). Let o be (j\/(-25))\/(11259\/(-3750) - x). Round o to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**2*f**4 - 2*c**2*f**2 - 15216*c*f**5 - 29*c*f + 46*f wrt f.\nAnswer: -72*c**2*f - 912960*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 132*v + 272. Give l(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 108 (b) -0.06 (c) -0.3 (d) 3\/2 (e) -84\/11 (f) 4 (g) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o. Suppose 2*m + 20 = 3*q - 6*q, 2*q = -3*m - 20. Let j be p(m). Calculate the highest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*1 + (1 - -1). Suppose 0 = 2*q - 4*m + z, 0 = 3*q - m - 5 - 2. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 28*v**2 - 28*v - 27. Let m be s(-27). Let y = 0.1 + 4. Let l = y + 0.9. Which is the third biggest value? (a) l (b) 1\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84\/2*4\/6. Let b be (2\/(-4))\/(6*(-17)\/97104). What is the greatest common divisor of b and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.6 and 2223.4?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110940 by 1290.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34906*d**5 + 64*d**3 - 222690*d**2 + 9?\nAnswer: 2094360*d**2 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 4}. Give prob of picking 3 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -11*s + 20*s. Suppose 0 = 7*c + c - 40. Put -9\/7, 4\/7, c, s in decreasing order.\nAnswer: c, 4\/7, -9\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114615?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 5. Let b(u) = -129*u - 26. Let n(h) = b(h) - 5*d(h). Let z(q) = -2*q**2. Give z(n(p)).\nAnswer: -38642*p**2 - 556*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((667\/(-46))\/(-29))\/((-1 - -2)\/302). Solve 34*a = -i + 253 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 4. Suppose -5 = 4*w - d. Solve -2*u = -u + w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.4 (c) 428 (d) 23 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 644328229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17860445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 1173?\nAnswer: 10557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494.6 + -495. Which is the third smallest value? (a) o (b) -5 (c) 138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/6 - (-1108)\/(-264) and 31\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713179194 and 2262?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/6 - 22*s**3\/9 + 23*s**2\/3 + 70*s\/3 - 918. Solve z(q) = 0 for q.\nAnswer: -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37970 - 22029. Let q = l - 5110. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*v + 1, -2*z + 16 = -5*v - 0. Let f(n) = -2*n**2 + 4*n - 2. Let x(c) = c**2 - 3*c + 2. Let w(k) = 2*f(k) + 3*x(k). Calculate w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10362*t**3 - 51070*t**2.\nAnswer: 62172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1965 and 18?\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 29*l - 51. Let q be z(12). Solve c = -4*c + 5*h, -2*h = c + q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 - 225. Let y = 45.2 - s. Sort y, -4, 4 in decreasing order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76898, 76887, 76878, 76871, 76866, 76863, 76862?\nAnswer: 76863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105056014 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + k + 72 = 0, 23*q - 19*q + 5*k - 48 = 0. Solve 92*s - q*s = -375 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (2 + -4)*1. Let i(n) = -3*n**2 + 2*n + 1. Give i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -3 (c) -110\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -2)*2\/(-5). Let j be 1*(1 + v) - -41. Suppose 0*n - 5*n = -j. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*n + 23 = 0, -300*n + 304*n = -2*u - 40. Calculate the common denominator of u and -10\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 525 - 837*x + 220 + 1059 + 4009 wrt x?\nAnswer: -837","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 = -22. Let a(m) = -m**2 + 12*m - 13. Let t be a(12). Let g = -10 - t. Put 5, n, g in decreasing order.\nAnswer: 5, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 + 8*s**2 - 6*s. Let n be -2*1 - 7\/(-1). Let k = -8 + n. Let f(c) = 2*c**3 - 3*c**2 + 2*c. Give k*u(p) - 8*f(p).\nAnswer: 2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*m = -1, 2*r + 5 = -4*m - 1. Let b(p) be the third derivative of 5*p**4\/24 + p**3\/6 + p**2. List the prime factors of b(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, -124, -505, -1102, -1945, -3064, -4489?\n\"Answer: -5*n**3 - 63*n**2 + 29*n + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:21 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.2, -4, 4.8, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -38*d - 29*d - 37*d + 103*d + 5 - 8. Let l(i) = i. Determine 3*j(u) + 6*l(u).\nAnswer: 3*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5529 = 73*h - 1041. What is the remainder when 380 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 11*n + 21. Which is the second biggest value? (a) n (b) -2 (c) 1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 753825 divided by 39675\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 8. Let j(p) = -3*p + 4. Calculate the remainder when 102\/4 + (-7)\/14 is divided by j(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/51 and 47\/595.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - 0) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0*d - 1\/3*d**3 + 1\/24*d**4 + 0 - 62*d**2 + 1\/60*d**5. Give y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - 3*l + 2*l)*((-1 + 2 + 0)*(-1 + 3 - 1) + (-2 - 2 + 6)*(2 - 3 + 4)*(-1 + 1 - 1)).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**8\/33600 + j**7\/12600 - 7*j**4\/12 - 4*j. Let l(c) be the third derivative of n(c). Factor l(m).\nAnswer: -m**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 3*m**5\/20 + 17*m**4\/4 + 79*m**3\/2 + 189*m**2\/2 + 1617*m. Let g(y) = 0. Calculate y.\nAnswer: -9, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/2? (a) -16\/7 (b) 16 (c) -4 (d) 4 (e) 3.1 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p - 269 + 53 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.958 + -0.042. Let x = h - -28. What is the closest to -2 in x, 3, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 4, i: 6}. What is prob of picking 3 j?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbwdd. What is prob of picking 1 d, 1 w, and 1 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 8*r**2 + 3*r - 7. Let n be p(8). Solve 4*w - 3 - n = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.667 - 7.461. Round g to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -783 + 785. Sort -6, -1, 4, z in increasing order.\nAnswer: -6, -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-3)\/((-6)\/(-4)). Let n(v) be the second derivative of -v**4\/12 - v**3\/6 - v**2 + 8*v. Let o(b) = b**2 + b + 2. Determine j*n(l) - 3*o(l).\nAnswer: -l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -311*p**3 + 22*p**2 - 5*p + 1003497 wrt p.\nAnswer: -933*p**2 + 44*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**2 - 3*j**2 + j**2)*(-104*j + 6*j - 91*j + (0 + 0 - j)*(2 - 1 + 1) + 0*j - j + 0*j + 2*j - 3 + 3) as b*j + h + k*j**2 + y*j**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let g(r) = 0 + 0*r**2 - 3*r + r**2 + s. Let o(y) = -y**3 - 3*y**2 - 2*y - 2. Let n be o(-3). What is g(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) 33990 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:58 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 269 + 16 = 0. Let a be (-16)\/6*6\/(-4). Suppose -2*s = f - 5*s - 9, q = a*f - 5*s. What is the greatest common factor of f and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5588118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-26\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003 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 r be 1575\/10*(-12)\/(-9). What is the highest common divisor of r and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787.2449 centuries to years.\nAnswer: 78724.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.578772 meters to millimeters.\nAnswer: 4578.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 1702*g + 9 + 1638*g to i + v*g and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/3 - 2)*45345\/(-24). Let l = -3760 - u. Calculate the common denominator of -37\/11 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (32\/8 + 186\/31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1286.1 + 1256.1. What is the fifth smallest value in -1\/2, -3, 2\/11, a, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(25) - -4*2*sqrt(25))\/(sqrt(10)\/(-1*sqrt(2))).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 4*b + 5. Let q(u) = -2*u**2 - 3*u + 4. Let o(k) = 4*p(k) - 5*q(k). What is the units digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.1 + 16.1. Which is smaller: -0.025 or m?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1542, 14288, 48876, 116226, 227258, 392892, 624048?\n\"Answer: 1820*j**3 + j**2 + 3*j - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 22*s - 751. Give a(45).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182552?\nAnswer: 2, 19, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1106543, -2213081, -3319619, -4426157?\n\"Answer: -1106538*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 4463 = -17003. Let l = r + -618. What is the remainder when l is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244620 and 115062?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**2 - 46 + 46 to the form c + s*v + q*v**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l + 2*p = 72*l, p = -2*l - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m - t + 67 = 0, 3*m = 11186*t - 11187*t - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/90 - (-2)\/(-9))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/3)\/((-3)\/(-54)) + 467757\/(-51973).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 5*z - o, -4*z = -7*o + 11*o - 80 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20493, 20500, 20507, 20514?\nAnswer: 20521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.96958 minutes in days?\nAnswer: 0.474978875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -112*z**3 + 7*z + 44. Let f(q) = 55*q**3 - 4*q - 24. What is -11*f(y) - 6*t(y)?\nAnswer: 67*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -16, 4*l = -0*b - 2*b - 20. Let d = 3 + -9. Let s = d - b. Put s, 4, 3 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 4:13 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 4*z - 18, l + 4*z - 21 = -38 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 5*o. Let b be h(-4). Let k be 1\/b - 41\/(-4). Suppose -k - 38 = -4*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by 3.\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o + 3*m, 4*o = -o + 3*m + 5. Suppose -s + 0*s = -o. Sort -4, s, 2\/7 in decreasing order.\nAnswer: s, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 84 (b) 1 (c) -4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159598 = -20*r - 33*r + 411212. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31853247, -31853249, -31853251, -31853253, -31853255?\nAnswer: -31853257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(950)\/sqrt(2)*-5 + ((sqrt(19) - sqrt(38)\/sqrt(2) - sqrt(19))*2 - (sqrt(114)*2)\/sqrt(6)).\nAnswer: -29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2))\/s)\/s**(-2\/7)*s**(-2)\/(s\/(s*s\/(s*s*s**2))*s)*(s**(-8)\/(s\/(((((s\/s**(-3\/11))\/s)\/s)\/s)\/s)))**(-26) assuming s is positive.\nAnswer: s**(23192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29674 and 191660.\nAnswer: 76855660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12124 - 12125 - 288*g - 37*g)*(-4*g**2 + 4*g**2 + 5*g**2) to z*g**2 + h*g + b*g**3 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-5)\/(-5206)) - (-1 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -493877\/16 - -30869. What is the common denominator of -41\/2394 and q?\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -135 + 20 + -16 + 1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -15*y**2 - 9*y + 9. Let b = 5 - 9. Let j(n) = -7*n**2 - 4*n + 4. Let r(h) = b*p(h) + 9*j(h). Let t(u) = -2*u. Give t(r(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/414 and 77\/309.\nAnswer: 42642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from iididdddiiiiiidiii?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -42700.4645.\nAnswer: 42695.4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - b612f54?\nAnswer: -b612f53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o**3 + 3*o)*(-79 - 26 + 21) + 4*o**2 - 4*o**2 + o**3.\nAnswer: 85*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - r**2 - 4)*(-47*r + 3*r**2 + 2 + 71*r - r**2) - 4*r**4 + 2*r**4 - 3*r**4.\nAnswer: -7*r**4 - 24*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.124.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/8)\/((-5)\/100). What are the prime factors of (-15)\/x + (-446)\/(-10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 - 4 = 0. Suppose -5 = 2*n + j*h, 0 = 5*n - 0*h + h - 20. Solve n*l - 39 = -14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -1 + 4. Let g(m) = 4*m**2 - m. Let l be g(j). Suppose -3*s + 2*s + 60 = -4*y, -255 = -3*s - l*y. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 304 + 90 = 52 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2647 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 542*p - 543*p + 5*g - 28, 4*p + 4*g - 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2470896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*c - 13095 - 15151 = 0 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - 0.05. Let r = -0.02 - m. Which is greater: -0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 - 1. Suppose 3*r = s, 2*s - 10*r = -13*r + 9. Let x(c) = 4*c**3 + 5*c**2 + 2*c - 3. Give s*f(i) - x(i).\nAnswer: -i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2295 and 20?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q*t**4 - 3*q*t + 5163*t**4 + 2*t**3 - t**2 + 161*t + 2 wrt t?\nAnswer: -24*q*t + 123912*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 12 = -6. Let z be (1 + 1 + -1)*4. Put z, t, 0 in decreasing order.\nAnswer: z, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 38*w**2 + 121*w - 4. Determine u(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76771537*z**4 - 4*z**2 - 15223177?\nAnswer: -1842516888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 99bc - 25c?\nAnswer: 9760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2\/2 - 5350*o + 2862250 = 0.\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + ((-56)\/(-12))\/14 + 10\/6. Sort h, -4, 5, 26, -5 in ascending order.\nAnswer: -5, -4, h, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 448\/5. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 68*m - 77. What is a(3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9202.116 months to millennia.\nAnswer: 0.766843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a9 (base 12) to base 8.\nAnswer: -3721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 57329 = -2*m, -5*m = 3*z - 17889 - 16527. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 64*k + 2 - 2 - 70*k. Let q(n) = -275*n**2. What is t(q(x))?\nAnswer: 1650*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:30 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 169441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 50 = -5*p, 2*s = -32*p + 33*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -317815, -317793, -317735, -317623, -317439?\n\"Answer: 3*w**3 + w - 317819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -0.3 (c) 5 (d) 0.2 (e) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5 (c) -0.0318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 1139, 1662, 2185, 2708?\nAnswer: 3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6798*z**3 + 18146*z**2 - 4*z + 2 wrt z.\nAnswer: 40788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-2 + 0\/(-1) - 6). Let g be -9*2*(-4)\/h. Solve 0 = 2*q + 5*f + 3, 4*q + 3*f + g = -f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 3*q**2 + 6*q - 2. Let x be s(-5). Calculate the greatest common factor of x and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 338, -0.1, 1337, 0.4 in decreasing order.\nAnswer: 1337, 338, 0.4, -0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/9 and (4\/70)\/(12\/147).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2172849208?\nAnswer: 2, 271606151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2755 micrometers in kilometers?\nAnswer: 0.0000000032755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 plus -154517336.70701?\nAnswer: -154517372.70701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -901, -3686, -8327, -14824, -23177, -33386, -45451?\n\"Answer: -928*w**2 - w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 - -13. Let d = -69 - m. Calculate the remainder when d is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 - (0 - -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/30 + 6*a**2 + 60*a. Let y(t) = -t**3 - 4*t**2 + 5*t + 1. Let n be y(-5). Let d(i) = 1 - n - 2*i. Determine d(s(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and -6.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 16*v - 20. Let g be h(14). Let z be 22\/g + 2\/8. Suppose z*r + a - 19 = 0, -2*r - 3*r = 2*a - 32. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/96 and 1\/10 - 117\/180.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d (base 14) in base 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 30. Let b be p\/(-18) + 40\/3. Suppose -4*w = -b - 54. Solve 5*k = -3*i + w, -7 = -0*i - 2*i + k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3136868?\nAnswer: 2, 7, 112031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242165288, 242165290, 242165292, 242165294?\nAnswer: 242165296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299498950 to the power of 1\/2, to the nearest integer?\nAnswer: 36049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 10:53 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2178*m + 674*m + 342*m + 6472*m.\nAnswer: 9666*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 31 + 80)*((1 + 4 - 4)*(0*a - 5*a + 3*a) + 4*a - 4*a - a)*(2*a**2 - a**2 + 0*a**2) as h*a + u + i*a**2 + n*a**3 and give n.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27726620 by -2.\nAnswer: 13863310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -83\/3. Let m = -1.29 - -0.29. Sort 3, s, m.\nAnswer: m, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1380*z**4 + z**3 - 3*z**2 - 19?\nAnswer: 33120*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 9. Suppose -2*v + 0*v = 20. Let k be x(v). Let n be -2*(-2 + k\/(-2)). Solve -12 = n*r, -3*o = -o - 3*r - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 - -128.999255. Round v to five decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2090 and 4180.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*i - 35, -7*s + 3*s = 5*i - 65. Let c = 25 - 22. Suppose 2*x + 5*x = c*x. Solve x = -5*p - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 63.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**(1\/12) assuming f is positive.\nAnswer: f**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38254 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/24 - 19\/57)\/(0 + -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447334.997 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + -6)*10*3*17.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9912 divided by -708.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d - 5*s - 16250 = 83*d, 4*d = 2*s + 64892. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*d = -0*p, 0 = 3*p - 2*d. Let f be ((-3)\/3)\/(-2)*(-30)\/(-5). Put -2, f, p in decreasing order.\nAnswer: f, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 28453831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*q - 904 = 455*q. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739689 + 8630*d**3 - 739689 + 6965*d**3.\nAnswer: 15595*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/8 - q**3 + 7*q. Factor d(l).\nAnswer: -3*l*(l + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1 - q**2 + 15*q - 8 - 2 + 1. What is the tens digit of w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62\/(-210) + (-64)\/480. Which is the third smallest value? (a) -1\/10 (b) k (c) -1\/2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let y(o) = -o**2 + 3*o**h - o**3 + 11 - o**2. Calculate the remainder when 20 is divided by y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-208))\/((-2)\/16).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p - 4 = 0. Suppose 5*l - 41 = -3*y, -2*y + y = p*l - 14. Solve 0*g + 3*a = -5*g + y, 2*a - 1 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w - 2. Let g(z) = 19*z + 60. Let c be g(-3). Suppose -d = -w*d + c. Solve 4*h = d*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -421 by -3.\nAnswer: 421\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3706, -770 in increasing order.\nAnswer: -770, -1, 3706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmii when four letters picked without replacement from {m: 2, i: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 - 2) - (25 - 23) - -43?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0169 + -85.0169. Let n = -1990 - -2075.1. Let m = s + n. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 11*r - 914. Suppose -w - r = -3*n - 48, 3*n + 2*w - 851 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -3 + 8 + -1. Suppose -o*x - 25 = -0*x. Sort -2, 2, x.\nAnswer: x, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a7 (base 12) to base 13\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 26. Let o = g - 31. Suppose 0 = -o*p + p + 3*h - 17, -4*h + 17 = 3*p. Is 2\/63 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, f: 1, s: 5}. What is prob of sequence snnf?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4\/11, 1, -52, -0.1, -26, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20b65 (base 13) in base 3?\nAnswer: -10000000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1743, -3490, -5239, -6990, -8743, -10498?\nAnswer: -12255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - (-729)\/18. Let h = -33 + t. What is the greatest common factor of h and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 845 + -925 - (-41 + -1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/891, 1, 0.4, 0.5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 551*b**2 + 0 - 7 - 11 + 543*b**2.\nAnswer: -8*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:11 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*f**3*l**2*v**2 - 3*f**3*v**3 - 6*f**2*l**2*v**2 - f*l**2*v - 2*l**2*v**3 - 2*v**3 wrt f?\nAnswer: 90*l**2*v**2 - 18*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -39 + 0*g**2 + 2*g**3 - 5\/4*g**4 + 3\/20*g**5 + 2*g. Find o, given that s(o) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -461 by 1.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 4*l**6\/15 - 31*l**5\/20 + 2875*l**4\/6 + 5624*l. Find the third derivative of x(m) wrt m.\nAnswer: 192*m - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119*(-172)\/4386)\/35?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*s + 23 - 77, -s - 5*o + 27 = 0. Let i = 33 - s. Let u(n) = n - 9. Determine u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-108)*-9)\/(-1*16\/60)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -13. Let q = j - -36. Which is the fourth biggest value? (a) -1\/4 (b) -1\/2 (c) 2\/11 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 714 (b) 28 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. Suppose -7 = -5*o + 13. What is q in -5 + 45*q**3 + o - 65*q**4 + z - 10*q + 25*q**5 + 5*q**2 = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 divided by 7.\nAnswer: 185\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*s - 27489, -2*v - 79*s = -82*s - 18309. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44851073, -89702150, -134553227, -179404304?\n\"Answer: -44851077*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 3*p + 3*n + 13, 4*n + 164 = 4*p. What is the greatest common divisor of p and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271882 is divided by 67966?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.5 - -22. Let o = -19 + -26. Let t = -51 - o. What is the closest to t in i, -3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19981\/(-81432) - (-2)\/8 and 11\/80?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*m + 60. Suppose -j + 8 = -4*l, -5*l = -l. Let b(q) = 3*q - 14. Let f be b(j). What is the highest common factor of f and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -891 + 4297. Calculate the greatest common divisor of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025975278 minus 2641.4?\nAnswer: 4025972636.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.3 + 1.3. Let d = -10 - w. Let r = -1 - -0.8. Put d, r, -1 in descending order.\nAnswer: r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -103, -203, -343, -523, -743, -1003?\n\"Answer: -20*u**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.66? (a) 57 (b) -4 (c) -3\/8 (d) -0.1 (e) -5 (f) -6.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*25*27\/(-1080).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + -2 + -9 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f + f. Suppose 2*a + f*a = 48. Suppose -42 = -4*i + 6. What is the highest common divisor of i and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23587 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/40704 and -5\/53373?\nAnswer: 724164864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-49)\/36))\/(9\/(-2)*(-38)\/(-798))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12120220 (base 3) to base 10\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333716.\nAnswer: 2, 29, 54601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((4 + 0)\/2)\/2. Let z be 8 + (-2 + v)\/1. Solve -5*g + 3*d - 29 = z*d, 3 = -3*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 0.2 (c) 14 (d) 0.47 (e) -9 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*w = 19, -4*o + 80 = 4*w - 20. Suppose -3*c = -5*u + o, -c = -u + 2*c + 12. Calculate the remainder when 8 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2)*(-3 - -1). Suppose j = -t - n, -1 = -2*t - j - 3. What is the third biggest value in t, -0.2, -0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0 - 12. Suppose -4*j = -24 + 8. Let g = j - z. Solve -2*o = -g + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*r - 7520 - 594 = 5502 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223082 and 3142.\nAnswer: 223082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7671271 - 3659199406\/477. Let m = -19\/53 - u. Calculate the common denominator of m and 8*4*2\/10.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1530 - -3580. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*h**2 + 279*d**3*h + 5*d**2*h**2 - 2*d**2*h - 17*d wrt d?\nAnswer: 6*h**2 + 1674*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (3*sqrt(143)*2 + -4*1*sqrt(143))\/(-1*(sqrt(99) - (sqrt(99) - -2*sqrt(99))))).\nAnswer: -4 - 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0203515003 to 5 decimal places.\nAnswer: 0.02035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/7 - 52*v**2\/7 + 55*v\/7 + 106\/7 = 0?\nAnswer: -53, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2541 and 679953813?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 26 = 24. Let c be (60\/25)\/((-2)\/z). Suppose c*x = -5*x + 153. Calculate the highest common divisor of 6 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = -14. Let r = o - -10. Calculate the remainder when -3 + r - (-43 + 2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + -71. Suppose -3*j + 3*w = 0, -2*j - j + 4*w - 4 = 0. Find the first derivative of a*k**4 + 1 - j*k**4 + 1 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -2*z**3 - 2*z. Let v = -114 + 121. Let r(h) = -11*h - v*h + 18*h - 3*h. Give w(r(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16054*c**3 - 10511 wrt c?\nAnswer: -48162*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 - 43. Suppose -12*t + 16*t - n = 0. Let h be (-2 - -1)*-27*1. What is the greatest common divisor of h and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-900)\/63 - -5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -48 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*u + 3. Let t = 13 + u. Suppose t*d + 9 = -6. Is d at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -101*u**3 + 6*u**2 + 32*u + 22. Is h(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 + -1.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1011021 (base 3) to base 4\nAnswer: 31030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + y - y + (17*y**2 - 4 + 2 - 29*y**2)*(4*y**2 - 6*y**2 - 8*y**2).\nAnswer: 119*y**4 + 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16\/p)\/p**6 assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 0*g - 6 + 10\/3*g**3 + 0*g**2 - 3*g**4. Find the third derivative of x(h) wrt h.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-25 - -15 - -5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 691614088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20) - ((-3182)\/86 - 211\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/389445 and 89\/1057065.\nAnswer: 7399455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26048, -25755, -25258, -24551, -23628?\n\"Answer: p**3 + 96*p**2 - 2*p - 26143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30813 = -30*o + 135273. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7726.\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91014 divided by -6?\nAnswer: -15169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 298*a**5\/5 + 1279*a**3\/6 - 19*a + 8. What is the second derivative of v(j) wrt j?\nAnswer: 7152*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 91*p - 134 - 454 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d + 17*d + 17*d + 8*d + 12*d - 59*d - 21*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n**4\/2 + 483*n**3\/2 + 675*n**2\/2 - 819*n\/2 - 165 = 0.\nAnswer: -2, -1\/3, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163 - 126?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (-2441025)\/(-858) - (-4)\/26. Let d = 2840 + h. What is the common denominator of d and -81\/82?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpcp. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5 - -47))\/((-15)\/105).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -954.169 and 0.5?\nAnswer: -477.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1104011 and 3.\nAnswer: 3312033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*z - 18. Suppose 2*d + z = -f, -1 = -2*f + 3*d - 10. What is the least common multiple of 18 and ((-28)\/f)\/(((-14)\/(-12))\/7)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 + 67 + 331 - 91.\nAnswer: 5*k**2 + 307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -27, 1316, -23 in increasing order.\nAnswer: -27, -23, -9, 1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 1:00 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6*u + 390 = -2*s, 5*u - 1885 = -3*s. Suppose 9*o + 38 = u. Calculate the remainder when 126 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*t**2 + 283*f*t**2 + 3*t**2 - 526*t wrt f.\nAnswer: -6*f**2*t**2 + 283*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.9999024. What is w rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27528131 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521.67802 + -0.2.\nAnswer: 521.47802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173181 divided by -3.\nAnswer: 57727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.672 centuries in millennia?\nAnswer: 58.8672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 11:48 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*l - 81, 4*l - 38 - 64 = -2*f. What is the remainder when 358 is divided by f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11588.\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185207003 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -585, -2318, -5207, -9252, -14453, -20810, -28323?\n\"Answer: -578*i**2 + i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87103815 to the nearest integer?\nAnswer: 9333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from {t: 6, v: 2, e: 1, d: 6, k: 2, f: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 257349 and 10.\nAnswer: 2573490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 + 11. Let a be y(-4). Solve -a*b + 46*b = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.7 + -7.7. Let q be 2\/((-16)\/4 + 2). Let j = q + 1. Which is the biggest value? (a) y (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -24\/2004431 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 51, 2, 22 in ascending order.\nAnswer: 2, 3, 22, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 16*w - 6. Let a be c(4). What is the highest common divisor of a and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6553 - -6553.1. What is the closest to -2\/11 in -2, h, -29\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 35*g + 82. Let k be l(-8). Solve 231*a + 6 = k*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -136, -319, -586, -943, -1396, -1951, -2614?\nAnswer: -3391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/20)\/(6\/4). Suppose -16 - 29 = 5*q. Let u be ((-3)\/6)\/(q\/(-4)). What is the closest to -2 in u, h, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/14*(-3)\/21*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -967990800 + 198286.\nAnswer: -967792514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2 + -1 - 0) + -14. Let n be ((-2)\/(-6))\/(t\/75) + 1. Which is the third smallest value? (a) -1 (b) -4 (c) n (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 4*y + 581, -5 = y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 175 = 3*u. Calculate the remainder when u is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5\/2) + 16\/32?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12070*j - 12079. Is r(-102) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417065329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -888) + 55\/11. Let h = -795 + c. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23300, -46694, -70088, -93482, -116876?\n\"Answer: -23394*g + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 92 = -8*u. Let n = 46 - u. Suppose 3*w + n*w = 267. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 42*k**2 + 16*k + 48. Let o be g(-3). Calculate the highest common divisor of 108 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/425*5)\/(3\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.112 * -6.5.\nAnswer: -20.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**8\/1176 + 6*r**7\/245 - 34*r**6\/105 + 33*r**5\/35 + 45*r**4\/28 - 72*r**3\/7 + 2*r**2 - r + 39. What is m in t(m) = 0?\nAnswer: -24, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*b*c*g**2 + 41*b*c*h + 2*b*g*h - 507*b*h - 14*c*g*h - 2250*g**2*h + g*h wrt c?\nAnswer: -42*b*g**2 + 41*b*h - 14*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 419035722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**2 - 21*v**2 + 11*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 5*c**2 - 2*c + 9. Let s be x(7). Suppose -t = 2*t - s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43\/6 - 83\/12. Which is the closest to -0.1? (a) 0.4 (b) 5 (c) p (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000231 (base 4) in base 10?\nAnswer: -4141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h. Suppose -2*g - 174 = -h*g + 3*z, -4*z = 5*g + 428. Let a be -1 - 7\/(g\/16). What is the nearest to -0.06 in 0.1, 0.4, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -265*j - 1. Let b be a(-1). Let q be b\/36 + 2\/(-6). Find the second derivative of q*r - 3*r - 9*r**2 + 2*r wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53a + -3?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2470581 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1\/((-10)\/40).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*x - 0*x + 52800. Is 42 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q**3 + 48*q + 43*q**3 - 72*q**3 + 110*q**3 - 50*q.\nAnswer: 12*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4504 and 115\/175656.\nAnswer: 175656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2636 + 7320. Suppose 8*k + 4696 = 3*g + 3*k, -3*g + o = k. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001011000 - -1010110111000100?\nAnswer: 1000101101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*a + 4405*a**4 - 4405*a**4 + 248*a**5 wrt a.\nAnswer: 4960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45617 + 21059 - 58092 = -174*b. What is the greatest common factor of b and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:26 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 17064*u**2 - 36397512*u.\nAnswer: -2*u*(u - 4266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.08952 + 0.4\nAnswer: 0.48952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11152*w**2 - 11098*w**2 + 22358*w**2.\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1*4)\/1. Suppose b - u*b + 42 = 0. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02336 - 0.97664. What is the closest to q in -11, 0.5, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2932*y**2 - 2447?\nAnswer: 5864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 35. Let w be t(-11). Let f be ((-8)\/6)\/(w\/6) - -9. Suppose -3*v + 0*v + 310 = -f*k, 5*v - 520 = 5*k. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x = -4*m - 26*x + 8, -3*m = x. Let k(h) be the first derivative of -9*h**2\/2 + h + 1. What is the tens digit of k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -511*m**4 - 264811*m**3 - m**2 - 19548*m - 669?\nAnswer: -12264*m - 1588866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 2*m**2 - 5*m. Let t be i(4). Suppose 0 = -3*z - 2 + 38. Calculate the highest common divisor of t and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 6:18 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 + -2. Let f = -101 - u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 11. Factor 6 + 4*l**2 - l**2 + 0*l - 2*l - m*l.\nAnswer: 3*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390.403 times -0.3?\nAnswer: 417.1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2*k**2 - 3*k - 1. Let g(c) = 3*c**3 - 7*c**2 + 9*c + 3. What is 2*g(d) + 7*j(d)?\nAnswer: -d**3 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*v - 58*v**2 - 70*v**2 + 96*v**2 wrt v.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 4*k - 4 - 2. Let p be c(4). Suppose p*m - 761 = 5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24526 and 4.\nAnswer: 24530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -710, -2, 429 in ascending order.\nAnswer: -710, -2, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*i + 360*i - 1358 = -67*i. Suppose -2*q = 2, q = 5*p - 23 - 18. Sort p, i, -3, -1.\nAnswer: -3, -1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2 + 2*j**2 - 6*j + 2*j**3 + 2*j**3 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2206.626 - 2191.6260006. Let d = -15 + s. What is d rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*v - 1932 = -12*v + 11*v + 120 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -11) + -9 - (-4 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1.19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q - 52*q**2 + 0*q + 47*q**2 + 1 + 0 - 2 + 12*q. Let a(r) = r**3 - r**2 + r. Let d be (0 + 1)\/(2 - 3). Calculate d*o(t) + 5*a(t).\nAnswer: 5*t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*x = 388*x - 1152. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1.5, 0.6 in decreasing order.\nAnswer: 0.6, -1.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(832) + sqrt(832)*-2*-1)**2*1 - ((sqrt(78) - -2*(sqrt(78) - sqrt(78)*2))\/(2*sqrt(384)))**2.\nAnswer: 48*sqrt(13) + 1917171\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6334334 to the nearest integer?\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49218 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 338, 545, 736, 905, 1046, 1153?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4351586*x**3 - 2555293*x?\nAnswer: 26109516*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35842 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*q + 5006 - 8546 = 9528 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 18?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898.5365 centimeters to kilometers.\nAnswer: 0.008985365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 2*f**3 - f**3 + 9*f.\nAnswer: -4*f**3 + 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 4 + 0)*(15 + 17 - 26) + 2 - 1 + 1)*(-2 + 4 - 1)*(-2*m + 4*m + 0*m) to b + d*m and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 5, -1431.3, 121, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and ((-992)\/10)\/(-4) - (-84)\/(-105).\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 + 6*x. Let r(o) = 11*o**2 - 17*o. What is -17*n(a) - 6*r(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 16*t**2 - 3*t**3 - t**3 - 4*t**3.\nAnswer: -8*t**3 - 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 635795436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004417247248 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2379*y**3 - 3394*y**3 - 8066*y**3 + 41254*y - 38046*y wrt y.\nAnswer: -54486*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3 (c) 1.2 (d) 1 (e) -170\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19808 (base 13) to base 4.\nAnswer: 30020132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -15. Suppose f + f - 3*a = -315, 0 = 4*f + 4*a + 640. Is f\/(-15) - o\/(-20) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14095?\nAnswer: 5, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*u + 79 + 10 - 31*u)*(3*u**2 - 3*u**2 - 2*u**2).\nAnswer: -6*u**3 - 178*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 25246*r + 754703. Calculate c(-30).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 74, 202, 424, 764?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2656493 is divided by 4025?\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2266.05 - -2376. Round y to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30936147 * 0.5.\nAnswer: -15468073.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, f: 7}. Give prob of picking 1 z and 1 f.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a + 17*a + 34*a + 61*a.\nAnswer: 151*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 281 = 5*u - 2*o, 3*o + 277 = 5*u. Solve 49 - u = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(sqrt(27) + sqrt(54)\/sqrt(2) + 2 - sqrt(27) - (sqrt(1323) + 1 + sqrt(27) - sqrt(27))**2)*1.\nAnswer: 975*sqrt(3) + 33050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -19 (c) 0.7 (d) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0842394753 to 3 dps.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291 divided by -2.\nAnswer: 291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/162 and -20\/347?\nAnswer: 56214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9560 divided by 5.\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-90))\/(-1*7\/(-6))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62095 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/8 + (-150)\/(-48). Calculate the highest common factor of 261 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 20*z**2 + 21*z + 34. Suppose w = -14 - 5. Let i be s(w). Sort i, -3\/8, 4, -0.2 in decreasing order.\nAnswer: 4, -0.2, -3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-2)\/16 - 1). Let f = -314 - -316. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v - 5*v + 11*v - 4 + 18*v - 723*v**3 - v.\nAnswer: -723*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/660 - x**5\/30 - 5*x**4\/66 - 2*x**2 - 5514. Solve c(n) = 0 for n.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {i: 1, f: 2, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2587 - 356 = 113*j - 61*j - 379*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7994 + -7562. Calculate the remainder when f is divided by 85.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/1154419 and 37\/746977?\nAnswer: 12698609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 0*r**2 + 11*r - 429 - r**3 - 5*r**2 + r**2 + 423 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4234 = 1879*c + 64362 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3386431 (base 11) in base 4?\nAnswer: 112212022030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335d (base 16) to base 7.\nAnswer: -53223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 72*q**3 - 33*q**3 + 22 - 38*q**3 as y*q**3 + x*q + z + p*q**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eek when three letters picked without replacement from {e: 3, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + sqrt(117))**2 + 1 - (-2*-2*sqrt(104))\/sqrt(8)).\nAnswer: -10*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:36 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -64*v**4\/3 - 352*v**3\/3 - 242*v**2 - v + 10. Find j, given that q(j) = 0.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 60*t**2\/7 + 450*t\/7.\nAnswer: 2*t*(t - 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112120 (base 4) to base 10.\nAnswer: -1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10114135 and 6845.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 9. Let g be h(-2). Which is the biggest value? (a) 1 (b) -2 (c) g (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 13*w - 8*w + 4, 4*l - 16 = -w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*d - d - 580, -2*x - 430 = -3*d. Suppose -d*g = -142*g - 8. Solve g*u - 2*i = -4, -u = -4*i - 2 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -47 (b) 1\/2 (c) -0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 15179?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 - -2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -373, -325, -237, -97, 107, 387, 755?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.329 and 6827.3208455.\nAnswer: 6827.6498455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - 10. Let b = -3371687642.00000017 - -3371687675. Let x = u + b. What is x rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210041 (base 7) in base 11?\nAnswer: -25098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129693 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -58, -4, -22, -194\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8908222 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2, -2\/15, 0.088 in decreasing order.\nAnswer: 0.088, -2\/15, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*v + 24 = 0, w = 4*w - v + 18. Suppose 5*l - 43 = -19*r + 17*r, -3*l - r = -26. Let m be 6\/(-14)*w\/l. Is 10 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(9) - sqrt(9)) + sqrt(9))*-5 + 2*sqrt(441) + sqrt(441))\/((2*sqrt(96))\/sqrt(2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:47 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 20. Solve 0 = -z + 5*b + 12, -3*b - w = -4*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*a + 120 = 5*u, -4*a = u. Is u\/8 + (-2)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 + 0.07. Let r be (-16)\/28*28\/24. Let x = -4 - -6. Which is the nearest to q? (a) x (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 4:32 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3 - 3)*(-t**2 - 2*t**2 + t**2) + (-6*t + 2*t + 0*t)*(7*t**2 - t**2 - 2*t**2).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*v**2 + 42*v**2 + 7 - 8.\nAnswer: 150*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(77) - (sqrt(77) + (sqrt(77)*5 - sqrt(77)))) + sqrt(77))*5)\/(1*(sqrt(1331) + sqrt(1331)*2)).\nAnswer: 15*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -6*b + 30. Suppose 2*k - 4 = k. Is 3\/(-2)*(k + (-1 - b)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 54\/(-58))\/((-12)\/(-54)). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-24)\/o)\/o*o\/(o*o**25*o*o) assuming o is positive.\nAnswer: o**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*((sqrt(102) + (sqrt(102) - (sqrt(102) - 4*sqrt(102))))*6)\/((sqrt(252)\/sqrt(6))\/sqrt(7)))**2)*-1.\nAnswer: -382497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/20 - 5*m**4\/12 - m**3\/2 - 36*m. Let h(l) = 2*l**3 + 9*l**2 + 5*l - 1. Suppose -8 = -j - 3. Determine j*v(d) + 3*h(d).\nAnswer: d**3 + 2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 187*v + 4406 - 4408 + 52*v + 74*v + 2*v**2 to w + d*v**2 + l*v and give l.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1131865732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72477817\/36441270 + -2\/404903. What is the common denominator of y and -145\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((4 + sqrt(304) - sqrt(304)) + -2)**2 - (-4 + sqrt(304)*-4))*4.\nAnswer: 128 + 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u)\/(u*u*((u**(-3)*u*u*u*u)\/u)\/u*u*u*u) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - 4*i - 1. Let v(o) = -8*o**2 + 3*o + 1. Let s(n) = -n**2. Let p(g) = 4*s(g) - v(g). Let f(y) = -6*p(y) + 5*x(y). Give f(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -933*l**3 + 2*l + 5302 wrt l?\nAnswer: -2799*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2135 = -5*f + 7*f, -m + 2*f + 717 = 0. What are the prime factors of m?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684\/16 - 1\/(-4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 = -40. Let y(n) = 3 + 11*n - 3 - a*n. Let m(s) be the first derivative of 3*s**2\/2 - 664. What is y(m(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9513 divided by -7\nAnswer: -1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -3) + -45 + 13 + -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -990a1 (base 14) to base 11\nAnswer: -233472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/95 in -0.5, 5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 52. Let a be 2*((-1)\/n)\/(2\/(-6)). Let -a + 0*f + 2\/5*f**2 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -2. Let d(v) = -v**3 + 4*v**2 + 7*v - 9. Let s be d(5). Let p be (s\/2)\/((-4)\/(-24)). Put p, 5, t in increasing order.\nAnswer: p, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.88 - -29.78. Which is the nearest to d? (a) -0.5 (b) 0.12 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/((-20)\/175) - 2 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3007\/18 + -167. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p - 26. Let i(r) = -25*r + 13*r + 5 + 13*r - 4. Let n(a) = -3*i(a) - k(a). Differentiate n(s) wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*y**5 - 152414*y**4 + y + 2585560?\nAnswer: 300*y**3 - 1828968*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*p - 4*m, -2*p - 33 = -7*p + 4*m. Suppose b + 10 = q - 2*b, 3*q - 2*b - 30 = 0. Let d = -7 + q. Calculate the lowest common multiple of p and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)\/(-1 - -2). Suppose -4*d + 4 + 4 = b. Put 5, d, 1 in decreasing order.\nAnswer: 5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**9\/1512 - 7*b**6\/360 + 5*b**3\/3 + 9. Let s(x) be the third derivative of p(x). Find the third derivative of s(z) wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 280931, 280933, 280935, 280937, 280939, 280941?\n\"Answer: 2*q + 280929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + (sqrt(147) + 3 - sqrt(147))*1 - (sqrt(192) + -1 + 3))**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9779274 decades to centuries.\nAnswer: 0.09779274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-80)\/(-45))*(-2)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6044?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**3\/13 - 14*w**2\/13 + 4*w\/13.\nAnswer: 2*w*(w - 1)*(5*w - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 10*c - 16. Let u be o(6). Suppose u*t + 24 = 20*t. Solve -45 = 5*k + t*b - 7*b, 3*k + b = -7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11409747.\nAnswer: 3, 19, 200171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let m(h) = -h**3 - 44*h**2 + 357*h - 1. Let x be m(-51). Put x, l, -6 in decreasing order.\nAnswer: l, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/(h*h**(-2\/9)*h*h)*h**(-2)\/h**(-1) assuming h is positive.\nAnswer: h**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200101110 (base 3) to base 11.\nAnswer: -4a487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 14*h**2 - 108*h + 636. What is i(18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -447.9 + 447.8. What is the closest to 0.61 in -3\/8, 2\/15, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/15)*y))\/((y**(-10\/7)*y)\/y)*(y\/(y*y*y**(6\/11))*y)\/y**(-6\/7) assuming y is positive.\nAnswer: y**(1856\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/8)\/((-3)\/(-6)). Let y be -14*k\/(196\/(-8)). Solve -8 = -3*m - f, f + y*f + 40 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -831 - -746?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 6:10 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:08 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -169*g**3 - 68*g. Let w(f) = -88*f**3 - 35*f. Give 4*a(s) - 7*w(s).\nAnswer: -60*s**3 - 27*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 30*w + 55. Let x be v(15). Calculate the greatest common factor of x and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1380 - 1384. Suppose 0 = -2*d - 21*d - 46. Put b, 3, d in ascending order.\nAnswer: b, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000859147671 to 5 decimal places.\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4*(h\/(h*h**6))\/h*h*h**(-6)*h*h*h**12)**(-1\/5))**45 assuming h is positive.\nAnswer: h**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(8\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 168812340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6488 at least as big as -6488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 5*s)*(-2 + 6 - 6 - 4*s**4).\nAnswer: 12*s**5 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 25*m**2 - 33*m - 124. Calculate l(-26).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2015087.28 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/11 - 14652*r**3 + 483498*r**2\/11.\nAnswer: 2*r**2*(r - 80583)*(r - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20072*p*y + 7627*p + 1 wrt y?\nAnswer: 20072*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -105. Let b be (-6 + 4)*d - 25. What is the second biggest value in b, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27386 (base 14) to base 5\nAnswer: 11043441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14426*x**3 + 2*x**2 - 2. Let q be y(1). Suppose -3226 = -12*c + q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 20.9. What is the closest to c in -1\/2, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (5*(sqrt(112) + 2*(sqrt(112) + -3 + sqrt(112))) + 5)**2).\nAnswer: -30000*sqrt(7) + 423732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.504672488 rounded to 2 decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 13. Which is the nearest to i? (a) -3 (b) 0.01 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7642 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4*z**2 - 21343*r**3*z**3 + 332*r*z**3 - 91*r*z wrt r?\nAnswer: 24*r**2*z**2 - 128058*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -1 - -19) + 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 5*o - 5. Let f be z(6). Let h = f + 103. Let l = 55 - 2. What is the remainder when l is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15283, -14829, -14375, -13921, -13467, -13013?\nAnswer: -12559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 12, 3*o - 2*s - 36 = -0*o. Calculate the common denominator of (74\/18)\/((-9)\/(-27)) and (2\/o)\/((-2)\/54).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1328*j**5 + 5215*j**4 - 5215*j**4 - 882*j wrt j?\nAnswer: -26560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32170634099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 82. Let q(b) = 4*b + z*b**2 + 2 - 6*b - 2*b**3 - 3*b + 0*b. What is q(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 98, 381, 854, 1517, 2370, 3413?\n\"Answer: 95*j**2 - 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 10. Let t = -384884 - -384887. Which is the third biggest value? (a) k (b) 1\/2 (c) 17 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**2 + 6*q**2 + 152*q - 59*q to the form m + b*q + o*q**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17436.2 and 0.1?\nAnswer: 1743.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 + -176. Sort -1, r, -39 in increasing order.\nAnswer: -39, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111230551 (base 6) in base 10?\nAnswer: 2025859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a milligram in micrograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 598405118 by -2.\nAnswer: -299202559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 4. Let v be b(-3). Let i(j) = 2*j + 4*j**2 - 3 + 2*j - 5*j**v. Let s be -2 - (-1 - 4*1). Give i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1 + 1 + 10*g. Let u(j) = -j - 2. Let c(x) = -12*x + 2. Let a(b) = -c(b) + 8*u(b). Let p(y) = y - 4. Let d(h) = -4*a(h) + 18*p(h). Determine d(m(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 2. Let m(u) = -2*u**2. Determine m(z(y)).\nAnswer: -2*y**2 - 8*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 42*l**2 - 570*l - 1138. Give u(-30).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + d**2 - 2*d. Let w(j) be the third derivative of -j**3\/6 + 5*j**2. Let c(p) = -5*p - 3. Let v(t) = c(t) - 3*w(t). Calculate v(u(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 4*h + 8 = 0, 3*h - 124 + 136 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose 0 = y*b - b - 4. Suppose -b*m - 2*m = 0. Solve m = -2*c + 3*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1163748*o**3 + 1898952?\nAnswer: -3491244*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 5991081.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + (5 - (-50)\/5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6118170 to the power of 1\/2, to the nearest integer?\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(270)\/sqrt(10)) - sqrt(228)\/sqrt(48)*-5.\nAnswer: 17*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122303212 (base 4) in base 5?\nAnswer: -244031444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {n: 1, s: 2, g: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.085 - -2.1. Suppose 0 = 9*l - 31 + 13. Which is the closest to p? (a) l (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 27013650*k - 54027288.\nAnswer: -3*(k + 2)*(k + 9004548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4446 and 3744?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -10, -18, -32, -58?\n\"Answer: -l**3 + 6*l**2 - 19*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1750 = 8*a + 1638. Let r be (-2)\/((-10)\/a*(-72)\/180). Let b(n) = -6*n**2 - 2*n + 1. Let f be b(1). Is f equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 21986 = 4*a, -2*r - 4*a = -2580 - 6220. Is r at least 4400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12044304 - -2?\nAnswer: -12044302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/91 or -0.1?\nAnswer: 48\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47866 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6 + 3*g + 3 + g**2 - 1. Let w be s(-4). Find the third derivative of 4*h**2 + h**5 + w*h**5 - 5*h**2 wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5154694ug to grams.\nAnswer: 0.0000005154694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(96) + sqrt(96) + (sqrt(96) - sqrt(96)*2))\/sqrt(8))\/(1*sqrt(4)*1 + sqrt(4)) + -2.\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 3)*(-171*t**4 + 412*t**4 - 174*t**4).\nAnswer: 268*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -728 times 57060\nAnswer: -41539680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -332*k**2 + 12*k - 6. Let z(r) = 46813*r**2 - 1690*r + 845. Calculate 845*w(q) + 6*z(q).\nAnswer: 338*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v**4 - 5*v - 3*v**4 + 6*v + 5*v wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.079?\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 3 - 2*x - 12.\nAnswer: -x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0081648032 to six decimal places.\nAnswer: 0.008165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*n + 38*n + 3 - 3 + 46*n to s*n + c and give s.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*2\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 1\/8, -9 in increasing order.\nAnswer: -44, -9, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46191*n - 45853*n = -43264 for n.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.72786 times -4?\nAnswer: -6.91144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-35) - (-80)\/280?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 5*s**4 - 4*s**4 - 10*s**2 + (0*s + s - 4*s)*(2*s**3 - 4*s**3 + s**3).\nAnswer: 2*s**4 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35960 and 8990.\nAnswer: 35960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/8*(-4)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 - 316 + 631 - 12*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by -5034\nAnswer: -68\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = 5*l - l. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5) + sqrt(45))*5*-5*5 + 5)**2.\nAnswer: -8000*sqrt(5) + 1250064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 32*b**2 + 8*b - 11. Is p(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26253 + -17032. What are the prime factors of j?\nAnswer: 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150\/11 or -13?\nAnswer: -150\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 19*c**2 - 43*c - 23. Calculate m(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/3, 4, 0.16308?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3b7 (base 13) to base 12\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 785*q + 8*q**3 - q**2 - 28*q**3 - 784*q + 3*q**2 to c + k*q**2 + v*q + g*q**3 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:22 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2667*d + 3048*d - 6918*d as t + c*d and give c.\nAnswer: -1203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let a be (-2 - (1 + b)) + 0. Let s = 9 - a. Calculate the lowest common multiple of s and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9*d = 6*d - 49, -d = 5*h - 80. Solve 24*a - h*a - 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0.3, 5, -2.1, 0.6 in decreasing order.\nAnswer: 5, 0.6, 0.3, -4\/3, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43480563 to the nearest integer?\nAnswer: 6594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 + 17*i**2 - 9*i + 9. Let a be (-21)\/(-12) - 2\/(-8). Let v(y) = y**3 - 4*y**2 + 2*y - 2. Calculate a*q(t) + 9*v(t).\nAnswer: -t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 26. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let v be b(-4). Suppose -64 = -12*i + v. Let f(j) = 6*j - 11*j + i*j. Let w(z) = -19*z**2. What is f(w(t))?\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142055, 23, -3, -1\/9 in decreasing order.\nAnswer: 142055, 23, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 smaller than -190904\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/((-50)\/(-6655)) + 3 is divided by 273?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1. Let v(h) = -242*h**2 - 9*h + 6. Calculate -4*j(p) - v(p).\nAnswer: 242*p**2 + 9*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:30 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5886012 and 324.\nAnswer: 158922324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403321 + 11331?\nAnswer: -341440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -11215*s**6\/6 - 205*s**3\/3 + s**2 + 20*s + 4491. What is the third derivative of c(z) wrt z?\nAnswer: -672900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45810444.\nAnswer: 2, 3, 17, 19, 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) -10.361 (c) -5 (d) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-22\/3)\/(h\/h**(-1\/7)*h*h*h\/h**(2\/13)*h))**(-1\/10) assuming h is positive.\nAnswer: h**(-1321\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 5*q + 8. Let k be d(6). Suppose k*j - 13 - 17 = 0. What is the remainder when 35\/(-20) - 351\/(-4) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3828*j**4 + 906291*j**3 - 5963037*j**2 + 3980664*j - 12420 = 0.\nAnswer: 1\/319, 3\/4, 6, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*u - 2)*(-2993 + 2*u + 2994 - 14*u).\nAnswer: 36*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 22515855?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 12*t + 3. Let i be q(11). Find the second derivative of -i*d**3 - 31*d + 19*d + 2*d**3 wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/16)\/(2\/12). Suppose -5*x - p = 0, 5*x + 17 = h - 0*h. Solve h*w - j = 7*w - 12, 3*w + 4*j + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1125 + 0.1125. Which is the biggest value? (a) 0.3 (b) 3\/7 (c) -6 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302232 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 20. Suppose 50*i + 10*i + 20*i = 1040. Calculate u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*s, 0 = -4*j - 3*s + 4*s. Suppose j = -4*f - 8 - 320. List the prime factors of (-6)\/2*f\/6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, x: 3, l: 2, d: 1, e: 6, w: 3}. Give prob of picking 2 q and 1 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122810359, 122810365, 122810373, 122810383, 122810395?\n\"Answer: d**2 + 3*d + 122810355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*a**3 + 35*a**3 + 21*a**3.\nAnswer: -68*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 440771577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -292\/5*u**2 - 464\/5*u**3 - 12\/5*u**4 + 304\/5 + 464\/5*u = 0?\nAnswer: -38, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/4 + 3441*a**3\/2 + 216633*a**2\/4 - 237255*a + 244125 = 0. Calculate a.\nAnswer: -35, 2, 2325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 2*o + 0 + 0*o**2 - 5\/6*o**4 - 5\/6*o**3 - 1\/4*o**5. What is h in l(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z + 435. Let f be t(24). Solve 0 = -f*n + 124*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202 - -21?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 253002?\nAnswer: 253003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let u(n) = -1734*n + 13. Calculate m(u(q)).\nAnswer: 6013512*q**2 - 90168*q + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5500\/(-275))\/(1 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-42) - 0 - (-14712)\/(-504)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11043 - -110319\/10. What is the common denominator of 477\/1188*2 - (-10)\/(-6) and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 3*z + 4. Let r(a) = 434232*a**2 - a - 434226*a**2 + 5 - 5*a + 2*a. Determine -3*r(i) + 4*x(i).\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -26. Solve 0*q = 5*q + 10, -2*d - 5*q - a = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -1\/6*p**3 - 2*p**2 + 0 - 4*p. What is the first derivative of j(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, j: 10}. What is prob of sequence qjjj?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.4 - 7. Let f = 1\/157 + -327\/2041. Let v be 42\/(-28) + 21\/(-14). What is the third biggest value in f, v, m, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 + 11589*s\/4 - 11593.\nAnswer: (s - 4)*(s + 11593)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -44. Let r be 26\/(-6) + (4 - l). Which is the biggest value? (a) 2 (b) r (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 + 2*m. Let d(t) = t**3 + 5*t**2 + 3*t + 5. Let v be d(-4). Suppose 0 = q + 2*q + v. Let g(k) = 5*k**2 - 2*k + 1. Calculate q*j(p) - 2*g(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**1\/h)\/h*h)**(-3\/28))**16*(h**0\/h)**(1\/56)\/((h\/(h**6*h))\/(h\/(h**(-5)*h))) assuming h is positive.\nAnswer: h**(519\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -28*n + 11. Let d be s(-9). Let k = d - 113. Suppose 3*b - b = k. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40 - 3)\/((-2)\/14). Let y = 118 + d. Let h = -82 - y. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r - 3*r + 2*r)*(2*r**3 - r**2 + r**2 + (-4 + 4 - 2)*(-2*r**3 - r**3 + r**3)) to the form y*r**2 + q*r**4 + k*r + d*r**3 + h and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -2575?\nAnswer: -38\/2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 96*c = 95*c + 11, -4*c - 16 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4016718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 893563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*r - 3225*r + 2863*r.\nAnswer: 65*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-7 - 13 + 5)*(o - o - 2*o).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 6 = -3*j, -5*j = 29*s - 27*s + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, z: 6, w: 2, h: 3, j: 3}. Give prob of sequence whw.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -j - j + 7, -3*d + 29 = -5*j. Let u(m) = -2*m**2 - 4*m + 7. Let y be u(-3). Solve -w + y = -d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (791 - 782 - 5*f + 24*f)*(3*f - 11*f + 21*f) to the form r + d*f + y*f**2 and give d.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v\/(v\/((v\/(v\/v**(-4)))\/v*v)*v))**(11\/5)\/((((v\/(v\/(v\/((v\/v**4)\/v)*v*v))*v)\/v)\/v*v*v*v**2*v)\/(v\/v**0)**25) assuming v is positive.\nAnswer: v**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**7*(x\/x**(-1\/20)*x*x)\/x*x*x*x)\/((x\/x**4)\/x**(-11)))**(-27))**(3\/5) assuming x is positive.\nAnswer: x**(-6561\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-24))\/((-2)\/6). Suppose 5*n = t*s - 65, 0 = 2*s - 0*s + 4*n + 4. Solve 2*m + 2*r + s = 0, -4*m + 4*r - 3*r = -4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -9*r - 3, -4*s - 4*r = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-1\/3)*x\/(x\/(x**(2\/9)\/x*x))*((x*x**6)\/x*x*x)\/(x*x\/(x*x\/x**(-5)*x))*(x*x**(-1)*x)**47*(x**(-1))**19 assuming x is positive.\nAnswer: x**(392\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 58 (b) -0.5 (c) 26 (d) 0 (e) 0.5 (f) -0.11 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 443902 - 1459549759\/3288. Calculate the common denominator of 149\/24 and l.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 53*b**2 - 5464*b + 501. What is h(103)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187272, -749064, -1685370, -2996184, -4681500, -6741312?\nAnswer: -9175614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + -2. Let i = g - 5.7. Let r = 88 - 85. What is the smallest value in i, 4, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -11?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43405 or 21?\nAnswer: -43405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 49*g**3 - 884*g - 6360. Let o(s) = -171*s**3 + s**2 + 2650*s + 19079. Let t(n) = 2*o(n) + 7*y(n). Differentiate t(h) wrt h.\nAnswer: 3*h**2 + 4*h - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -0.03302271?\nAnswer: 0.13302271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32270\/(-1360) - -23) + ((-52)\/32 - -2)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 10*b**2 + 11*b - 13. Let p be d(9). Suppose 5 = p*y - 5. Suppose y*o - 37 = 5*x, 0*x - 6 = 2*x. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229223103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + (-14)\/(-6). Let c(k) = -k**3 - 5*k**2 - 5*k + 1. Let g be c(-4). What is the closest to -1\/4 in s, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**3\/6 - 5*o**2 + 67*o. Let c be f(-13). Factor 0 + 3*n**2 + 18\/5*n**c - 3\/5*n.\nAnswer: 3*n*(n + 1)*(6*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 12:18 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 40*n + 29. Let u be m(20). Let a(z) = u - 4*z + 5*z - 11 - 16. Calculate a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*c = 68*c + 172 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 5. List the prime factors of (-3 - h)*(-6)\/(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/325 or -1?\nAnswer: -1\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 7 = 27. Suppose -b*v + 11 = 3. What is the tens digit of 29 - (v + 9\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4144 - 4117. What is the remainder when 556 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.149 + -0.049. Let d = -11.24 + 0.24. Put a, d, 4\/5 in decreasing order.\nAnswer: 4\/5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -0.1, -7, -11, -1, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(22\/(-3201)))\/((-15)\/(-21445)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2403\/783) + 1 + (-81)\/87?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 32*h**2 + h + 1. What is v(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 853. Let f(v) = -7*v**2 + 95*v - 5. Let i(p) = -6*p**2 + 76*p - 4. Let s(h) = 4*f(h) - 5*i(h). Determine s(n(w)).\nAnswer: 8*w**4 - 6824*w**2 + 1455218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13. Suppose c*f + 18 - 10 = 0. Suppose -5 = 6*w - w. Put 6, f, w in decreasing order.\nAnswer: 6, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 - 20.7. Let c = j + 18. What is the closest to c in 6\/7, 4, -4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5216155 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 317.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7794374654 to the nearest integer?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10426*h**3 - 85*h**2 + 815423?\nAnswer: -31278*h**2 - 170*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j + 9. Let q(c) = 17*c + 28. Let i(n) = -2*q(n) + 7*v(n). Let h(t) = -7*t - 6. Let p(x) = -7*h(x) - 6*i(x). Let a(l) = l**2. What is a(p(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.057.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 10\/3, 0.2, -2.57, 11.3 in descending order.\nAnswer: 11.3, 4, 10\/3, 0.2, 0, -2.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, 4, -0.5, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7}. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -123, -185, -257, -345, -455?\n\"Answer: -r**3 + 4*r**2 - 63*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(475))**2 + (sqrt(19) + 0)*1)*-1.\nAnswer: -1900 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**3*o**3 - 2162*d**3*o**2*p**3 + 2*d**2*p**2 + 20085*d*o**3*p**2 + o*p**3 wrt d.\nAnswer: 36*o**3 - 12972*o**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -59 - 409. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563*s + 4 = 562*s. Is s smaller than -27\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x**(-3\/8)*x**1*x*(x*x\/x**3)\/x)**49 assuming x is positive.\nAnswer: x**(-2891\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 80 = z. What is the remainder when z is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31193.63 nanograms?\nAnswer: 0.00000003119363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o + 8*o**2 + 0*o + o**3 - o**2 + 4 - 3. Let u be w(-8). Are u and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36496 is divided by 1411?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 - 7124 + 4*s**2 + 7124 + 5*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -10. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**3 - 5*d**2 + 2*d + 5. List the prime factors of b(3).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-12) + 4\/(-1) and -47\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let q(i) = 8*i**2 - 23*i + 4. Let r(c) = 6*c**2 - 14*c + 2. Let n(v) = 3*q(v) - 5*r(v). Determine 4*a(y) + n(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 285\/4*l + 21 + 51\/2*l**2 + 9\/4*l**3 = 0?\nAnswer: -7, -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by -29110.\nAnswer: -73\/14555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 3*y**2 - 14*y - 36. Let g be b(-5). Let c = 296 + g. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216229513 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4403050 + -4?\nAnswer: 4403042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 993 + -923. What is the remainder when x is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 36*r**2 - 93*r + 49. Let u be w(2). Let z(p) be the third derivative of -p**4\/12 + 3*p**3\/2 + p**2. What is z(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 + 2\/(-5). Suppose k = -w - 1 - 0. Let u = w + 2. Solve 6 = x + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 57*a**2 - 111*a**2 - 2 - 7*a**3 + 59*a**2 - 3*a. Let r(f) = -14*f**3 + 14*f**2 - 8*f - 5. Let u = 390 - 387. Calculate u*r(b) - 8*x(b).\nAnswer: -2*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7453373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.9 + -104. What is the closest to 1 in 3, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -152*z**4 - 3*z**3 + 4*z**2 - 484. Let s(g) = -g**4 - g**3 + g**2. Let r(b) = -j(b) + 4*s(b). Differentiate r(u) wrt u.\nAnswer: 592*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2. Let n(c) = -32*c + 24. Let r(v) = -v + 1. Let b(f) = n(f) - 24*r(f). What is p(b(s))?\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 3\/2 (c) -1\/9 (d) 12202 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 14*u - 72. Calculate p(-9).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1862, -1860, -1858, -1856, -1854?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6341635 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 132*j + 4 - 128*j - 1 + 1.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - (1810\/(-14) + 1). Let o = k + -54. Calculate the highest common factor of o and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*((-33)\/12 - 1). What are the prime factors of (-864)\/b - (-12)\/(-20)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eppkffekkrpppfp. Give prob of picking 2 e and 1 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**2)**(-7\/6))**(8\/17)\/(w**1*w*w**(3\/5)\/w*w**7\/w**(4\/5)) assuming w is positive.\nAnswer: w**(-1849\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 and -18\/5041.\nAnswer: 5041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*h**3 - 25*h**2 - 5*h = 0. What is h?\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:37 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + j - 2 = 0, 5*a + 22*j - 7 = 18*j. What is the units digit of (436 - 0)\/((-3 - a) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 6*m. Let d(q) = q**2 + q. Let r(y) = c(y) + 3*d(y). Find b such that r(b) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 5. Let h(d) = 850*d - 18. What is -h(t) - 3*k(t)?\nAnswer: -841*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.7 + 53. Which is the smallest value? (a) -3 (b) 2 (c) -5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24666 - 8a?\nAnswer: -24745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 223)*1 + (-4)\/(-2). Let s = -193 + o. What is the greatest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 662349395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194858, -389724, -584592, -779462, -974334, -1169208?\nAnswer: -1364084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0107353 decades in centuries?\nAnswer: 0.00107353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127759.3 months in centuries?\nAnswer: 1773.13275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -10. Let j be (-2)\/v - 322\/(-12). Calculate the highest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.94 + 4. Let h = -8 - -7.94. Let s = h + k. Is 0 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7343 by 5.\nAnswer: -7343\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:42 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:54 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*119\/(-105))\/(4 + (-42)\/10). Solve 2*t - 5 = z, -t + 6*t = -2*z + o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3212 - -3243. What is the remainder when b is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/297)\/((-36)\/(-220)*(-5)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = -4104 + 1296. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244336 not equal to 2443359\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 19. Suppose 256*g = -59*g + 117810. Calculate the smallest common multiple of g and o.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -56031 and -56032 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 240, 591, 942, 1293, 1644, 1995?\n\"Answer: 351*w - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 7. Give b(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115443 is divided by 4725.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 256\/14371?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/(-32))\/((-1)\/4). Suppose 0 = 2*a - m*a + 15. Suppose 3*s + 5*p - 45 = 0, 0 = s - a*p - 2 + 1. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:40 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 35156?\nAnswer: 140624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 303 - 298. Suppose -2*s - 7 + k = -b, 0 = -5*b - 10. What is the nearest to 1\/4 in 0, s, 2\/9, 12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 948\/178*(-6)\/(-90). Let v = -4\/89 - q. Are -2 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m**2 + 92*m - 2364. Determine r(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 - i + 1. Let g = -15 - -19. Let r(a) = -2*a**3 - 46*a**2 + 4*a - 4. Let p(l) = g*x(l) + r(l). Find the third derivative of p(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - 94?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64206 bigger than 64207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -67815*n - 813795. Give m(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -651 - -847. Suppose 570 - c = 11*g. Calculate the remainder when 197 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 18. What is the common denominator of (111\/(-2))\/(d*3) and (-15)\/((-1650)\/(-535)) + 3 + 0?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:09 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/25 at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 47. Let w be ((-24)\/(-20))\/((-3)\/n). Calculate the common denominator of -61\/2 and (-99)\/(-24) - w\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**3 - 3*o**2 + 6*o - 31. Let c(y) = 4*y**2 + 37 - 2*y**2 - 32 - 5*y. Determine 6*c(t) - 5*k(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v\/((v*((v**(-2\/9)\/v*v)\/v)\/v)\/v)*v*v))**(-3\/5)\/(v**2\/(v\/(v*v\/(v*v**(1\/7))))) assuming v is positive.\nAnswer: v**(71\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13544988 divided by -50541.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46098, 92200, 138302, 184404, 230506?\n\"Answer: 46102*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 2:26 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9714*f + 892. Is z(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -58, -0.1, 0.3?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650 and 40?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/20 + (-1)\/(-2). Let x = 6 + m. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418708758?\nAnswer: 2, 3, 13, 61, 88001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 34 + -41 + 3 + 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10980.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8917144*n**3*y + 7548697*n**3 wrt y.\nAnswer: -8917144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/234 and 61\/8710.\nAnswer: 78390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:26 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*i**3*w - 2*i**3 - i**2*p*w - i**2*p - 60*i*p*w - 2*i*p - 2*p*w wrt i?\nAnswer: -414*i*w - 12*i - 2*p*w - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*u**6 - 62*u**2 - 19*u - 28*u**5 + 14*u - 75*u**6 wrt u?\nAnswer: -840*u**3 - 1680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122169 (base 12) in base 7?\nAnswer: 2333046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 6*g + 6. Determine p(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, 14, -4784.\nAnswer: -4784, 14, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164*h**3 - 253*h**2 - 533*h + 37 wrt h.\nAnswer: 984*h - 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:32 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1 - 2*m**2 - 28 + 3 + 0*m**2.\nAnswer: -2*m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 1:22 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:02 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -335 + 544. Calculate the remainder when g is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*z - 209, -2*z - 2*z = 4*j - 232. Calculate the remainder when 313 is divided by j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, 3, 14, -5 in descending order.\nAnswer: 14, 3, -3\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -478, -947, -1410, -1861, -2294?\n\"Answer: x**3 - 3*x**2 - 467*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y + 11*y**2 - 3*y**2 - 6*y**2 - 22. List the prime factors of c(7).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2. Let t(y) = -y**2 - y - 1. Let a(b) = -102*b**2 + 4*b + 3. Let q(u) = a(u) + 4*t(u). Calculate q(j(d)).\nAnswer: -106*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*i = 45485, 3*x - 3*i = 23275 + 10835. What is the highest common divisor of x and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27235715.\nAnswer: 5, 13, 353, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43372054?\nAnswer: 2, 11, 71, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -421*d - 83 + 3 - 53 + 307*d. Is c(-6) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 + (-24)\/(-9). Let z = 2 - 2. Solve -3*f = -z - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183247925.\nAnswer: 5, 7, 1047131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 2, f: 5, t: 2, c: 5, u: 1}. What is prob of picking 1 k, 1 c, and 2 g?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -12. Calculate the common denominator of -19\/18 and 2 + g\/6*-55.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. Sort 2, 5, r.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 = 309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6383.9999993659 - 6384. Round r to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754570 (base 8) to base 13.\nAnswer: 8aaa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-14)))\/j*(j**13*j)\/j*j)\/((j**(-19)*j*j)\/j**(4\/5)) assuming j is positive.\nAnswer: j**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15849*-2.\nAnswer: 31698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12*-6*1\/(-2). Put -3, -1, r, 1.3 in increasing order.\nAnswer: -3, -1, r, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220901 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -556460 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2, 3, -7, 10 in decreasing order.\nAnswer: 10, 5, 4, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, s: 1}. Give prob of picking 1 e and 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1791*a = 22519 + 16883 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/222788589 and 1\/3.\nAnswer: 222788589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166 and 249.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/u)\/((((u*u**(-5))\/u*u)\/u*u)\/u*u)*u**(-4\/3)*u**(2\/5)\/u*((((u**(-3)*u*u)\/u*u)\/u*u*u)\/u*u**(2\/3))\/(u**(4\/11)*u**(3\/5)) assuming u is positive.\nAnswer: u**(622\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 8*v - 15*v + 23*v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.491011 millennia to centuries.\nAnswer: 24.91011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d**(1\/12)\/d*d*(d**(-2\/11))**14)**(-2\/7) assuming d is positive.\nAnswer: d**(1381\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 1196.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.54226 and -1424.4638?\nAnswer: 1423.92154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 68 = p - 2*p - 21*z, -p + 18*z = 6 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*p + t, -p + 6*t - 868203 = -868307 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010010011011 (base 2) to base 5.\nAnswer: -132100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -131, -536, -1213, -2162, -3383?\n\"Answer: -136*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 50 = -244. Let y = f - 140. What is the hundreds digit of 0 - 3*y - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/5)*s)**22)**(7\/5)\/((s\/s**(-1))**8\/(s**(2\/3)\/s)**(1\/7)) assuming s is positive.\nAnswer: s**(17447\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(304) - (sqrt(38)\/sqrt(2) + 4))**2 - ((sqrt(228) + (-1*(sqrt(228)*-2 + sqrt(228)) - sqrt(228)) - sqrt(228)) + sqrt(228) + sqrt(228))\/sqrt(12).\nAnswer: -154*sqrt(19) + 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -1. Suppose 2*v - 50 = -2*a - a, -a = -k*v + 2. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -95\/4. What is the common denominator of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 - p - 1. Let y be g(-3). Suppose -20 = -5*w, 0*t - 4*w - y = -3*t. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 2*p + 6, 4*p = -5*z + 40. Suppose -t - 8 = -z*c - 3, -5*c = -4*t + 13. What is the highest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, 28, -33, -7 in decreasing order.\nAnswer: 28, 3, 2, -2, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*r + 2052 + 968 = 0. Calculate the least common multiple of 22 and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 13) to base 15.\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -270 + 11?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 160 in -4, -0.2, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -39370000 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -2*l**3\/3 - l**2\/2 - l. Let v(x) = x**2 - 2. Let d be v(0). What is the remainder when 19 is divided by o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38509173 to the power of 1\/2, to the nearest integer?\nAnswer: 6206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19413 is divided by 9506.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027728 is divided by 3710.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**9\/15120 + o**5\/40 + o**4\/12 - o. Let x(v) be the third derivative of g(v). What is the first derivative of x(z) wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 2*r - 9 + 9. Let m be z(-1). Which is the nearest to m? (a) -5 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 4 + 0*l + 1 + 18*l. Let t be f(2). Suppose -6*b = -b - t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/444 and 19\/49950?\nAnswer: 99900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.083 * 769\nAnswer: 63.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -262, 0.09, -2, 4, -0.2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/9 (b) -1853 (c) -195 (d) -0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25350112 divided by 424\nAnswer: 59788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*t + 383*t = 150. Solve 18*x + 7*x - t = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1178719, 2357015, 3535311?\n\"Answer: 1178296*y + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 + 6*i**2 + 23*i**2.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12758 * -98257.\nAnswer: -12535.62806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -68 - -1 - ((5 - 1) + -3). Let s = m - -70. Solve -3*d + 21 = -4*a - a, -s*d + 4*a = -16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2243148 and 20964.\nAnswer: 2243148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0, 0.11, -1\/4, -0.078, -33, -0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-112)\/10)\/(4\/(-250)). Calculate the highest common divisor of y and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.3. Let l = -44.3 + 44.1. Put c, l, 2\/5, 0.03 in descending order.\nAnswer: 2\/5, c, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w - 2. Let t be u(-4). Let s = t - 10. Round s to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*p + 34408 = 629*p for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5447 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57 + 9\/((-36)\/(-20)). Find the third derivative of 80*d**3 + 62*d**3 - 73*d**2 - z*d**3 wrt d.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23269218 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(104)\/sqrt(2))*3)**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*k, -2*f = -k - 4*f - 6. Differentiate -4 + 2 - 6 - k*r**2 + 5 with respect to r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4*(-3)\/(-9). Let g = 1.04 + -0.04. What is the nearest to g in 0.3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*i = -w + 14, -4*w + 5*i = -19. Calculate the smallest common multiple of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868910241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**31*j**(-35)*j**(-2)*j\/(j\/j**33))**43 assuming j is positive.\nAnswer: j**1161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 7. Let t be a(-3). Let x be ((-3)\/2)\/(3\/(-4)). Let d = 12 + -7. Solve -t = -x*q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 - z**4\/6 - 7*z**3\/3 + 12*z**2. Let v = 17 + -8. What are the prime factors of s(v)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6*k + 27 = 0. Is 2 a factor of 23 + k\/(-3) + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 8 + 13 + p - 11.\nAnswer: p + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/141 or 1?\nAnswer: -11\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -70\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/42 + 5*a**3\/21 - 6*a**2\/7 + 28*a. Factor u(i).\nAnswer: -2*(i - 3)*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d - 4*d + 70*d - 55*d + 42*d.\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*w - 17, 0 = 3*w - 2*w + 2*a - 6. Suppose -w*r = -4*x + 16, r - 3*r = -4. List the prime factors of x - (-4 - 2\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8422 + 1839958\nAnswer: 1848380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 7 + 2)*(7*l - 2*l - 3*l) - l + 4*l - 4*l)*(-2 + 0 + 1)*(l**4 - l**4 + 9*l**4).\nAnswer: 45*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/282 + 29\/141. Suppose 19*x - 26*x = -21. Factor -p - 11\/6*z - 15*z**x - 27\/2*z**4 - 23\/3*z**2 - 9\/2*z**5.\nAnswer: -(z + 1)**2*(3*z + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*((-1)\/(-5))\/((-1)\/27). Let l be 2 + (-9)\/(s\/(-6)). Solve 3*y = 5*y + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 5*o - 2. Let t be ((-6)\/3)\/(0 + 2\/3). Let g be i(t). Solve l + l = g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017469 rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13712 - 10*t - 2*t + 13720. Determine f(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23220 - -3?\nAnswer: 23223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/5)*h*(h**3*h*h)\/h)\/((h*h*h**(-1\/2))\/(h\/(h*h*h**(-2\/7)*h*h))) assuming h is positive.\nAnswer: h**(97\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(2 - (-672)\/(-333)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 990, 888, 808, 768, 786, 880, 1068?\n\"Answer: 3*y**3 - 7*y**2 - 102*y + 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429462213 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9130 (base 11) to base 12.\nAnswer: -7031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50016, 100039, 150070, 200109, 250156, 300211, 350274?\n\"Answer: 4*m**2 + 50011*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:37 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 389659, 1558579, 3506787, 6234283, 9741067, 14027139, 19092499?\n\"Answer: 389644*v**2 - 12*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3694 and 0.01?\nAnswer: 36.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1546127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1269 = -12219. Let t = i + 242633\/18. Find the common denominator of -34\/33 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/367969 and -89\/3934.\nAnswer: 206798578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/15 - 9\/10. Let y = 7\/16 + 11\/48. Let z = 25.6 + -25.6. Which is the second biggest value? (a) u (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50.073354+-0.764\nAnswer: 49.309354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -823\/696 + 5\/87. What is the common denominator of w and -23\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(486) - -2*sqrt(486))\/(sqrt(36)\/(sqrt(24)\/sqrt(2))) + 1 + 3 + ((sqrt(20) - -2*sqrt(80))\/sqrt(10))**2 + 5)*4.\nAnswer: 108*sqrt(2) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + 4*(sqrt(20) + -3 + sqrt(40)\/sqrt(2)))**2.\nAnswer: -352*sqrt(5) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:18 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 24, 47, 78, 117, 164?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = s - 2, 2 = -5*y - s. Let c be (6\/(-32))\/((-525)\/(-100))*1. Is y less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -c, 5*c + 26 = 2*m. Suppose s + 3*s - 5*j + 5 = 0, 0 = 4*s + 3*j - m. Solve s = 3*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, -6, 4 in descending order.\nAnswer: 33, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10463*n - 6233. Let r(c) = -5150*c + 3117. Let f(p) = 13*r(p) + 6*t(p). What is the first derivative of f(j) wrt j?\nAnswer: -4172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2172699031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1357740 and 67\/14610?\nAnswer: 661219380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 2.\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012021 (base 3) in base 14?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:55 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 - 3*i - 7. Let u be w(-4). Let c(r) be the third derivative of 17*r**4\/6 - 7*r**3\/2 - 4*r**2 + 1. Is c(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-18) - 12\/(-54). Suppose 1 = -l*q + 7. What is the derivative of -84*f**q + 6*f**4 + 84*f**3 + 10 wrt f?\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*m - 23. Let f be (-42)\/(-30) + (-2)\/m. Let b = -172\/5 + 514\/15. What is the closest to -2\/9 in b, -3\/7, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6350*h**3 + h**2 + 8*h - 10. What is the hundreds digit of b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 3*(0 + sqrt(684)) + sqrt(684))*-3)**2*-2.\nAnswer: -197064 - 1728*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4 + 7 - l - 3 - 2. Let j be s(3). Suppose 139 = 5*i - q - 58, 151 = 4*i - j*q. Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/145824 and 37\/59856?\nAnswer: 181842528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 7. Let o = -6 + u. Suppose -c + 11 = -o. Calculate the common denominator of 81\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/6 + 2)*6. Suppose -5*p + 8 = -z. Let j = 4 + -3. What is the remainder when p is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41748, 41750, 41752, 41754?\nAnswer: 41756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240 + -235. Suppose v - 2*x + 133 = 2*v, 613 = m*v - 3*x. Does 45 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4, -7 = 4*s + 4*w - 3*w. What is the common denominator of 71\/16 and (12\/10)\/s - 1505\/200?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -2401.\nAnswer: -96.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22903 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*u + 6858 = 210*u - 7033 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.262 + 0.125. Let r = -0.277 - b. Is 2 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 2*d**7\/7 - d**6\/6 - 288*d**5\/5 + 2*d**3\/3 - 434*d - 2240. Find the third derivative of m(s) wrt s.\nAnswer: 240*s**3 - 60*s**2 - 6912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -469304\/111 + 4228. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -194206.\nAnswer: 194204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-6 + 6 - 31*g).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -143, -480, -1027, -1784, -2751, -3928, -5315?\n\"Answer: -105*s**2 - 22*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 0 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 20.74?\nAnswer: 20.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 16*u + 12*u + 2 to c*u + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108995.\nAnswer: 5, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179799\/20 - -8988. What is the common denominator of o and -107\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - b**5 + 2*b**5 - 3*b**4 + 6*b**4 + (-4 - 1 + 3)*(3*b**5 - 2*b**5 + b**5).\nAnswer: -3*b**5 + 3*b**4 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -31*y - 44. Let a be r(-4). Which is greater: 79 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02019392 rounded to four dps?\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000090894 to 7 dps.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 9, -5*x = 5*u - 9*u + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -8. Let l be (1\/2)\/((-9)\/s). Let k be 0\/2 - 0\/l. Round k to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 5, -343, -8 in descending order.\nAnswer: 50, 5, -8, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 129 = 2*v - 3*a, -a = 4*v + 99. Suppose 2*o + o = 2*x + 5, -13 = -o - 5*x. Suppose o*d + 49 = -20. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135\/2 - -69. What is the third biggest value in -1, f, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153021444 - 5?\nAnswer: -153021452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 2 - 3 - 3. Determine r(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o - 6. Let y(g) = 3*g**2 - 3. Is 16 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488 - 0.29889659677.\nAnswer: 487.70110340323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 29. Suppose 0 = -0*y - 5*y - p. Let x(b) = -8*b**3 - 2*b - 2. Let c be x(y). Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*1)\/(sqrt(8)*2 - sqrt(2)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*b + 4*j, 59 = 3*b + 3*j + 41 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -129*j - 1728. List the prime factors of p(-101).\nAnswer: 3, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222201120101101 + -10?\nAnswer: 222201120101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15157 + -2597. What is the greatest common divisor of 40 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 70265 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p**2 - 1. Let h be f(-1). Does -14 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*o = 216, 0*t + 2*o - 232 = 4*t. Let f = t - -10. Does 23 divide (f\/(-6))\/((-4)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = -4*v - 16, -5*v = 25. Solve -4*n - 2 = p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 676, 694, 712?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0569 + -4.6269. Let i = h - -3.57. Which is the smallest value? (a) 0 (b) 0.4 (c) i (d) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, 14, 1.82.\nAnswer: 1.82, 14, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by -84\nAnswer: -221\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -2.01. Is p greater than or equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 7:35 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 618 + -619. Does 4 divide (-9)\/(g\/(-6) + (-55)\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:39 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-8.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12842 is divided by 1381?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624430.2ng to kilograms.\nAnswer: 0.0000006244302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7630 - -7634. Which is the biggest value? (a) 0.3 (b) -9 (c) -3\/4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -368 + 651. Does 41 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 104*x - 95*x. Calculate the remainder when 182 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 - 10101011100111100101?\nAnswer: -10101011101000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 1. Let o(b) = -3*b + 1. Let s(u) = 5*i(u) - 3*o(u). Let k be s(-3). Suppose -3*y + 27 = a - 4*y, 15 = k*y. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 90 = -4*x + b, -3*x - 3*b = -72. What is the smallest common multiple of 0 - (-32 + (-4)\/(-2)) and x?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618778500 rounded to the nearest one million?\nAnswer: 2619000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 12*t - 10. Let j be r(-11). Let o be 2\/j - -5 - 0. Solve 0 = 4*l - 0*s + s + 6, -5*l - s = o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3*k + 7)*(-2 - 1 - 2) as t*k + m and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 394581551 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-12))\/((-5)\/(-5)*-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 12 = 3*y + 2*j, 5*y = 4*j - 2. Suppose 1 = 2*t - 5. Suppose -z - 2 = -8. Sort t, z, y.\nAnswer: y, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660781077?\nAnswer: 3, 11, 967, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-25))\/(1\/(-5))*5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45645583 divided by 1?\nAnswer: 45645583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -19, -0.2, 0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvoosovooosoovovvoo. Give prob of picking 1 o and 1 s.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*n - 26*n + 3*l + 27, 3*l + 12 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230 take away -218?\nAnswer: 3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 74*j - 35. Determine l(-4).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267284*d**3 - 4*d**2 + 3393442*d.\nAnswer: -1603704*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 9*d - 4*d - 105, 0 = 3*d - 2*h - 60. Solve 80*y - d = 62*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 1, z: 4, m: 1, i: 3, x: 2}. Give prob of sequence zim.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96437331*b*v**4 - b*v - 238352414*b wrt v?\nAnswer: -385749324*b*v**3 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 21. Let t be ((-12)\/(-8))\/(v\/(-8)). Suppose c + 10 = -2*x, -t*c = -7*c + 4*x + 20. Solve 3*h + 2*h - 20 = c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*z - 0*z, -664 = -3*h - 4*z. Solve -346*o - h*o - 2744 - 48*o**2 - 18*o - o**3 + 6*o**2 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 285 + -265. What is the remainder when 298 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6419.033 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(1700) + -2*sqrt(1700)*-6.\nAnswer: 3 + 130*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-27)\/m)\/m)**(-1\/34) assuming m is positive.\nAnswer: m**(29\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p - 2. Let h be f(-4). What is the greatest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1377) + 2 + 1*sqrt(1377) - ((sqrt(1377) + 0 + -5)*-1)**2.\nAnswer: -1396 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46778 + -46730. Let l(u) = 4*u**2 - 4. Let y(o) = -o**2 + 1. Let c be y(2). Let t be l(c). What is the highest common divisor of j and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) -0.1 (d) -5.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -110*v - 269. Let u be w(-6). What is the greatest common factor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 93, 122, 151, 180?\n\"Answer: 29*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*w - 2, 16*p + 566 - 507 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/20*-1 + -1 + 4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7, -45, 12, -3, 5 in descending order.\nAnswer: 12, 5, -0.3, -3, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -193*s - 94*s - 24*s - 2488 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1)*r**(8\/5))**46)**(1\/63) assuming r is positive.\nAnswer: r**(92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 1, h: 3, q: 1, u: 3, v: 2}. Give prob of sequence vqeh.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19579 - 9752. Let k = o - 18027. What is k rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) -161195 (d) 13 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*a**3*q + 312*a**3 + a**2*q + 9*a**2 - 268*a*q - 5*a + 4*q + 1 with respect to q.\nAnswer: -60*a**3 + a**2 - 268*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**29)**(1\/48) assuming x is positive.\nAnswer: x**(29\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/117 - -212\/1287. Find the common denominator of k and 20\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-10))\/(4\/(-10)). Let c = -0.2 + 0.7. Let t be (-4)\/15*(-3)\/2. What is the closest to t in c, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 33*z + 1. Let k be c(11). Let w(t) = 1 - 122*t + 3 - 4 + k + 126*t. Let i(x) = -x - 1. Calculate -3*i(r) - w(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -836 - -546. Let s = g + 315. Calculate the remainder when 62 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3558 + -7115\/2. Factor j*u + 0 - 1\/4*u**2.\nAnswer: -u*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -1\/4*b**4 + 2 + 0*b**3 + 0*b - b**2. Find the second derivative of v(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.136 in -1, -3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13494867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2291456, -2291445, -2291436, -2291429, -2291424, -2291421?\nAnswer: -2291420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 61 = 5*n + 7*c, -n = -4*c + 7. Let f(k) = -6899*k - 109. Let p be f(n). Round p to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by -2 - (11914\/(-444) - (-1)\/(-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(84) + sqrt(84))*2 + sqrt(84))\/(sqrt(24)\/(sqrt(10)\/sqrt(5))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 41 - 55 = 0. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, e: 1, s: 1, x: 2, o: 1}. Give prob of picking 1 e, 1 l, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1710?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-25))\/(2\/(-35)). Let t(p) = -1 - h*p - 7 - 2*p + 4*p. Suppose 0 = -m - 1 - 0. Let b(z) = z + 1. What is m*t(i) - 10*b(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/192*(0 - -2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1214 + -1214.4. Let r = 0.15 - -0.25. Let d be 0 + (-1 - 0)\/(-4). Which is the smallest value? (a) d (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 134 = 3*b, 11*b + 5*d + 148 = -10*b + 25*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 395\/393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r + 6. Let j be o(0). Suppose 0*u = 3*u - j. Let q be u*21\/(5 + -2). What is the greatest common factor of 98 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2974 + 4174. Calculate the highest common factor of 70 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by 801262?\nAnswer: -5\/10406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/22 + 1)*51\/34.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7932789044486 + 1.\nAnswer: 7932789044487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from dzzqddzzztzzd?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -867263868 + 458*s + 867263868.\nAnswer: 458*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 43*z - 4 - 18*z - 26*z.\nAnswer: -z - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five eighths of a millennium?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = i - 18, 17*i + 23 = g + 53 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 1:16 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8\/3)\/c*c**2 assuming c is positive.\nAnswer: c**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 42. Let h be s(12). Let x be (6\/(-9))\/((-1)\/6). Put 2, h, x in increasing order.\nAnswer: h, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(60) + (3*sqrt(240))\/sqrt(4))\/(sqrt(45)\/sqrt(36)) + 2.\nAnswer: 4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4380 divided by -3.\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 101*m + 138. Let y(j) = 25*j + 32. Determine 2*s(v) - 9*y(v).\nAnswer: -23*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275893?\nAnswer: 17, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 390990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -5*l**7\/56 - l**4\/4 - 11*l**3\/3 + 72*l. Let h(d) be the second derivative of x(d). Find the first derivative of h(z) wrt z.\nAnswer: -225*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32932 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 z(n) = 4*n**2 - 5*n + 14. Let x be z(3). Let u be 343\/x + 1\/5. Which is the second biggest value? (a) -0.1 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1599*g**3 - 548*g**2?\nAnswer: 9594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 35*w + 5. Let y(g) = g**2 - 17*g - 3. Determine 3*f(u) + 5*y(u).\nAnswer: 2*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2)\/7*(-199752)\/328164?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 22575. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.04042?\nAnswer: 0.016168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2736*-0.2\nAnswer: 547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/u*u**(-2\/9)*u)\/(u**(5\/4)*u**9*u))**(-24\/5) assuming u is positive.\nAnswer: u**(194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2719*w. Let m(z) = -11066*z**2. Determine j(m(b)).\nAnswer: 30088454*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {s: 8, o: 2, y: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106 + -66?\nAnswer: -65.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d + 3*d. Suppose -3*r + 2*w + 180 = 5*w, 5*r - d*w - 265 = 0. Suppose 15 = s - r. Calculate the greatest common factor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13799108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllllaaall.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93765 divided by 6251.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1908 and 99?\nAnswer: 20988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k - 3*u + 8 = 0, 5*u = 3*k - 32. Solve -10 = 5*j - 5*y, 0 = -j + k*y - 2*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.074 - 92.926. Let r = -92.82 - z. Let y = -5 + 1. What is the second smallest value in y, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-548)\/3014)\/(28\/(-770)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -2.\nAnswer: -2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91865.57l?\nAnswer: 91865570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 81715?\nAnswer: -408575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 4*k**2 - 14*k + 4. Let j(q) = -2*q + 8. Let c be j(7). Let f = -29 + 47. Calculate the lowest common multiple of f and i(c).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 164 - 163 + 2*s + 2*s**3 + 3*s**2 - s to the form q*s + z*s**2 + d + c*s**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-2) - 218\/(-436). Which is the nearest to 0.122? (a) 0.3 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 11*d**4\/24 + 5*d**3\/6 - d**2. What is the derivative of k(u) wrt u?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*8)\/4*(-1)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41\/66 - 5\/11. Let v(c) be the first derivative of 0*c + 7 + f*c**3 + 0*c**2 + 1\/4*c**4 + 1\/10*c**5. Factor v(q).\nAnswer: q**2*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 33787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1806845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 21. Let l(s) = s**2 + 3*s - 25. Let k be (416\/(-14))\/4 - (-21)\/49. Let i be l(k). Let h(x) = x - 11. Give i*d(w) - 5*h(w).\nAnswer: w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u. Let m(a) = 13*a. Let o(j) be the first derivative of -j - 3 - 1\/3*j**3 - 7\/2*j**2. Let n be o(-6). Calculate n*m(s) - 7*i(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332 - 173 - 170)*(-4*u**4 + 5*u - 5*u).\nAnswer: 44*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuccvhhccdncnd. Give prob of picking 2 n.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19411, -19894, -20387, -20896, -21427, -21986, -22579, -23212?\nAnswer: -23891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2381 - 0.264. Round r to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + q**3 - 6*q**3 + 6*q**3 - q**3 + 4*q**2 - 4*q**2 - 2*q**3 - q**3 + 2*q**3 + (0*q**2 + 4*q**2 - 2*q**2)*(1 + 2*q - 1) + 3 + 2*q**3 - 3.\nAnswer: 5*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.033 (c) 0.5 (d) 1\/35856 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-7) - ((-78)\/(-21) + -4). Find the first derivative of 5 + n - 1 - 3 + 6*o**2 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5\/(-15) + 48352\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238694 divided by 1?\nAnswer: -238694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114568517038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3304*h + 3690*h + 929 - 712*h - 2134*h wrt h.\nAnswer: -2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let o(i) be the first derivative of 0*i**4 + 4 + i**3 + 1\/60*i**5 + 0*i**2 + 0*i. Let s(h) be the third derivative of o(h). Calculate s(w(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -15*f - 105 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**2 - 67*j + 1697. List the prime factors of g(27).\nAnswer: 2, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003604164 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -941a01 + -7?\nAnswer: -941a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 266651?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (2 - -2) + (5 - 31)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -8) + (0 - 2). Solve -p*a + 1 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14595 by 35.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {y: 5, i: 1, n: 2, w: 6, f: 1, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-3)\/(-27) + (-524)\/(-9) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-33)*g\/(g**(-4\/7)\/g))\/(g*g**17)**(-26) assuming g is positive.\nAnswer: g**(3063\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 22*l**3 + 6. Let p(w) = 76*w**3 - 9*w**2 - 9*w - 3. Let g(i) = -35*i**3 + 4*i**2 + 4*i + 1. Let s(u) = 9*g(u) + 4*p(u). Give -4*j(c) - 9*s(c).\nAnswer: 11*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 58088964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 164 = -4*c - 113, 0 = 3*c - 6. Suppose a - 5*a = -20. Suppose a*y = w + 4*w + 60, 42 = 2*y + 4*w. Calculate the remainder when j is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let t be y(-3). Let s be (-1)\/2 - -10*t\/(-8). Find the second derivative of -s*c + 18*c + c + 6*c**3 wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = 38. Suppose h - 19 = -5*m, 4*h = 5*m - 0*m - 24. Suppose 4 = x, -m*x + 18 = 2*i - 2. Calculate the greatest common factor of p and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-4)*(378\/(-45) - -6). Solve 18 = 2*w - 5*c, 0 = 5*w - 5*c - 6 - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 1, x: 13, s: 3}. What is prob of picking 2 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3113 + -3111. What is the smallest value in 2\/327, -5, i, -0.1, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0261 or -302629?\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -5 + 9 + -4. Suppose 2*r = -k - r - 12, k - 3*r - 18 = b. Let u(z) = z + 6. Let n be u(8). Solve k*x + n = p, 2*x + 11 = -x + 4*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12\/7 (b) 173428.02 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23958 and 99.\nAnswer: 23958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 8*j + 3. Let f be c(-7). Let z = f + 6. Let l be (9\/((-180)\/32))\/((-6)\/15). Solve z*a + 3*k - k - 4 = 0, -l*k + 16 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284883 and 2279064?\nAnswer: 2279064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/6 - 115*t**3\/6 - 58*t**2\/3.\nAnswer: t**2*(t - 116)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 20 = -3*f - 26*u, 2*u + 10 = 0. Which is bigger: 13 or f?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 28332758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, 11514, -3 in decreasing order.\nAnswer: 11514, 286, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 20*s + 2. Let j be m(-10). Let k = 7 - j. Solve -3*g - k = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/5)*v)\/v*(v\/v**(2\/7))\/v*((v\/(((v*v\/v**(-2\/3))\/v)\/v))\/v)\/((v*(v*v**10)\/v*v)\/v))**(-14) assuming v is positive.\nAnswer: v**(2258\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 27*s = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*32\/(-24)*(-3)\/(-2). Which is the nearest to -2? (a) 1 (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 431?\nAnswer: -431.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.93 - -28. Round a to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*s**4 - 2*s**3 - 11*s**2 + 18*s - 3.\nAnswer: 2664*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2 - 9*b + 11\/2*b**2. Is l(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(-3 + ((sqrt(700)*-2 - sqrt(700) - sqrt(700)) + -5)*1 + -1).\nAnswer: -40*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 362*p**2 + 25*p - 27. What is the units digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1 - 136*m + 135*m + 1. Let u(g) be the first derivative of -g**3\/3 - 1. Determine u(i(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(684)*4 + 2*sqrt(684)*-6 + (-5*(sqrt(684) + 1) - (sqrt(684) - (-2 + (sqrt(684) - (sqrt(684) - (sqrt(684) + 1)))))))*3)**2 + 1.\nAnswer: 16200*sqrt(19) + 3847825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42014 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/366289 and 113\/7370?\nAnswer: 3662890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1545893 to three dps.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-15) + (-6)\/(-30) - (10 - 7). Sort 5, 2, j, 3 in increasing order.\nAnswer: j, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(34)\/((sqrt(60)\/sqrt(3) + sqrt(20))\/sqrt(10))*1 + 3.\nAnswer: sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242870 and 3101.\nAnswer: 753139870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Let l be (8\/5)\/((-2)\/5). Calculate the least common multiple of l\/(-6) - (-8)\/24 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkk when three letters picked without replacement from vkqvkmqgqqqkv?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279.3 + 0.0319457.\nAnswer: 279.3319457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-945)\/(-35))\/(((-168)\/16)\/7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/112 and 99\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -10*j + 17. Suppose 3*p - 26 = -j*p. Is p > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - q + 7 = 6*z, 4*z - 3 = -5*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -1.7.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -1\/25*t**5 + 2\/75*t**6 + 1\/6*t**3 - 1\/5*t**2 + 0 - 1\/30*t**4 - 1\/210*t**7 + 2*t. Factor w(y).\nAnswer: -(y - 2)*(y - 1)**3*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**23\/c))**(-47))**(1\/35) assuming c is positive.\nAnswer: c**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -518 + 1325. Suppose 0 = 9*o - x - 417. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - w. Let m be f(-1). Suppose -h - 216 = m*h. Let t be (-6 - h) + (0 - -4). What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46948 - -46952. Let u be (-1 - 3\/(-2))*22. What is the closest to -0.2 in u, 2\/15, 0.4, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.3. Let b = k + -0.4. Let x = -0.12 - 0.28. Sort x, 0.2, b in increasing order.\nAnswer: b, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-12 + -1 - (13 + -6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwtw when four letters picked without replacement from {j: 2, t: 2, w: 2, a: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 1. Give s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u - 19*u + 43*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*x**2 + 652*x**2 - 337*x**2.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g. Let k(y) = 40 + y + 34 - 74. Give -17*k(z) + 6*u(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 110 = 3*h, -5*h = 5*g - 2*g + 302. Calculate the common denominator of 4\/g*(0 - 6) and -30\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6425 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2*b**3 - 9\/2*b**2 - 12 - 5*b. Let y be 9\/(-15) - (-1)\/(5\/(-22)). Let n(m) = -3*m**2 + 4*m + 2. Determine y*n(u) - 2*d(u).\nAnswer: 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d838 + 1?\nAnswer: -2d837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852850, -852984, -853208, -853522, -853926, -854420?\nAnswer: -855004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4805.83489 to 0 decimal places.\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 190234.\nAnswer: 1902340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 8*c + 3. Let n be z(6). Let u = 72 - n. What is the greatest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 24 = -12. Let w = -11 + 47. Suppose 3*u + w = 5*u. What is the lowest common multiple of y and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21514874?\nAnswer: 2, 1229, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 93, 0.06, 0.6, 131, -0.5, 3\/2?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 7:10 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*n - 0*n. Let c be (-5)\/n*(-16)\/2. Let z be 54\/8 - 1\/c. What is the highest common factor of 28 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**4\/3 - 405*p. Let t(r) = -r**2 + r**2 - r**2. Calculate t(n(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1220850, -2441697, -3662544?\nAnswer: -4883391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 7*i + 70. Is t(12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104802 less than or equal to -104782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -70379630.\nAnswer: 1\/70379630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*8\/(-60))\/((-3514)\/(-13805))?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 19. Suppose 7*j - 64 - 188 = 0. Let q = j + r. Calculate the greatest common divisor of q and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -14. List the prime factors of 58*(q + 2) - (-5 - -2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 541\/7. Let p(v) = -4*v - 1. Let w be p(-1). Suppose 0 = -a - w*a + 4. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94253527.\nAnswer: 577, 163351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 7*w**2 - 11*w - 10. Calculate v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -2, -2\/7, -3, -8\/17 in increasing order.\nAnswer: -3, -2, -8\/17, -2\/7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -6. Let y(j) = 4 + 5*j - 1 - 4*j. Let g be y(u). Which is bigger: -4\/3 or g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*g**3*s**3*z**3 + g**3*s**3 + 2*g**3*v**2*z**2 + 11*g**3*v**2 + 2*g**2*s**3*z - 5*g*s**2*v**2*z**3 wrt z.\nAnswer: 78*g**3*s**3 - 30*g*s**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -621521\nAnswer: -34\/621521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q - 35. Let h be a(5). Let m(s) = -4*s - 22. Let t be m(h). Which is greater: t or 16?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48\/5 of a millennium?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247298000 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: What is the remainder when 15738 is divided by 15716?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and (-4 - -3671) + 75\/90*6.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 9:03 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*y**3)*(-10 + 3 + 2) + (1 - 2 - 2)*(2*y - 2*y - 3*y)*(4*y**2 + 2*y**2 - y**2).\nAnswer: 55*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8814893 is divided by 21819?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 34\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 15*f**2 - 3*f - 43. Let a be v(-15). Sort 5, -4, a, -2.\nAnswer: -4, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.7*4\nAnswer: -218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x + 1 - 4 - 14*x + 54*x - 5.\nAnswer: 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/64806 and 3\/49.\nAnswer: 453642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5886 - 3790. Suppose -364 = -41*a + t. Let j = 40 - 24. What is the remainder when a is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 687, -10, 5, 1\/6, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - u - 24 + 11 = 0, -g + 4 = 2*u. Let -2\/7*q**g + 0 + 4\/7*q = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*g - 3*p - 81, 2*p - 10 = -64*g + 66*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 446300462?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1. Let b be (3 + -3 - 1) + 0. Suppose 4*u = -2*x - 8, 3*x - 33 = 4*u - u. Let m(t) = 4*t - 4. Give b*m(v) + x*q(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-8 + 7088\/416 - 9).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 8:14 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let z(j) = j - 3. Let b(r) be the first derivative of r**2 - 7*r + 0*r + 2 - r. Let d(w) = 3*b(w) - 8*z(w). What is d(n(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**4\/6 + 4*a**2. Let f(y) = 0 + 0 - y. Calculate h(f(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1443*g + 1438*g = -3279, 0 = 5*q - 5*g - 4155. Calculate the greatest common factor of 472 and q.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 662813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:04 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15095869 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1759, 7091, 15985, 28441, 44459, 64039, 87181?\nAnswer: 113885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1770)\/165 - (-392)\/(-308).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73792693 a multiple of 1703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2704*o**2 + 5*o - 21. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {q: 2, n: 2, h: 10}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.88 + 0.12. Let q(j) = -j. Let l be q(-1). Suppose -2 = -v + 1. What is the closest to l in v, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*c**2 - 382*c**2 - 3*c**3 - c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 64 = -4. Solve -5*l + 36 = -0*l + 4*n, 4*n - 24 = -c*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -504 - 760\/3*r - 2\/3*r**2 = 0. Calculate r.\nAnswer: -378, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.12. Let h = -51.12 + x. Let r = 51.0103 + h. Round r to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5385945 divided by 5385945.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3250 and 1134575.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*y + 426*y - 206*y + 1011 - 2018 + 1007.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -l - 0*l - 18, 4*q + 16 = 0. Let x = -103\/3 - l. Which is the smallest value? (a) x (b) 0 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**3 - 4*m**2 - 19*m - 2. Let x(z) = -3*z**3 + 4*z**3 + 2*z - z + z. Let u(q) = 4*v(q) + 28*x(q). Suppose u(a) = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -831*t**3*x + 3262*t**3 + 2*t**2*x**2 wrt x.\nAnswer: -831*t**3 + 4*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17273\/12 - -4325\/3. Suppose 1\/2 + 7\/2*g**3 + 4*g**2 + y*g + 1\/4*g**5 + 3\/2*g**4 = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a, -r + 0*a + 5*a + 47 = 0. Calculate the highest common factor of 78 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2305092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6))\/((-6)\/(-8)) + 1. Find the third derivative of -3*l + 63*l**c + 84*l**3 - 198*l**3 - l**2 wrt l.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 11*s - 3*s + s + 27*s - 5*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -741*o + 9. Suppose -3*t + 9 = -4*t. Let k be b(t). Let s = -40159\/6 + k. Calculate the common denominator of s and -75\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((2 - 4) + 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 224, 222, 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 16 - (-897 + 903)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 4*c**2 + 1\/2*c**4 + 0*c - 9 + 0*c**3. What is the second derivative of w(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(0 + 2 - 4)*(-2*s**2 - 2 + s**2 - 5*s**2).\nAnswer: -48*s**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/2)\/(20\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -0*k + 5*i + 10, -3*k + 3*i = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.7 - 13.48. Let c = 1.42 - g. Let q = 11 - 10. What is the nearest to q in c, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2661 + -2521?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 6:01 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x\/(x*(x*x**4)\/x)*x)**(-24\/7) assuming x is positive.\nAnswer: x**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 8199*j**2 - 3*j - j - 8197*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*16\/((-128)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 12. Let l = -5623.1 + 5623. Which is the closest to k? (a) -13 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 51 = -2*v - 2*w, 0 = 5*v - 4*w - 130. Let c = 20 + 0. Calculate the least common multiple of c and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1442)\/1648*(-4)\/70 + 6\/30.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 100 (b) 1 (c) 9 (d) 2\/7 (e) 2\/55 (f) -1 (g) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6) + 1)*2. Let v(q) = 19*q**2 + 6*q - 7. What is the hundreds digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 99 + 4\/3*b**3 + 0*b + 0*b**2. Let j(r) = -22*r. Give m(j(f)).\nAnswer: 1936*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 90 - 132 - 4*b - 94 - 94 + 493.\nAnswer: -4*b - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (406\/(-58)*(-8)\/(-84))\/(56\/(-12))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/30 + 75\/18. Calculate the common denominator of (-24)\/4*u\/(-6) + 38 and 38\/91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 - ((-47 - 37) + 24)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*c = -0*q + c - 2, -q - 3*c = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574820, 574913, 575006, 575099, 575192?\nAnswer: 575285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 635. Is x(64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - 388 - 2*r**2 + 388 + 6*r**3 - 3*r to the form u*r + j*r**3 + q*r**2 + c*r**4 + g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 25. Find the third derivative of -25*l**2 + 0*l + 0*l + 10*l**6 + y*l**2 wrt l.\nAnswer: 1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 5*t - 8*t)*(-15*t + 414 - 414).\nAnswer: 150*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**3 - 19*d**3 - 8*d**3 - 12*d**3 + 63*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 40 = 3*y. What is the units digit of ((-24)\/y)\/((-4)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 35 = -0*o. Suppose o*d = -2*w + 10, -d + 2 = 5*w - 0. Solve -2*y - y = -6, -d*z + 4*y + 2 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -10*i + 10. Solve 0 = -i*j + j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 6. Let g be i(-1). Suppose 11*z = -g*z. Suppose z = -2*w + 2*a - a + 1, -w + 3*a + 3 = 0. Solve w*h + 2 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -17. Suppose a*s = 3 + 2. Let y be (2\/24)\/(s\/2). What is the closest to -1\/4 in -5, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6297 is divided by 115?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1950 and 849732?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 194*s + 2 - 5 - 183*s. Let o(q) = 55*q - 16. Determine 2*o(d) - 11*y(d).\nAnswer: -11*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x - 12. Let f(v) = 15*v + 26. Let t(w) = 6*f(w) + 13*z(w). Let u(i) = -2 + 9*i**2 + 0 + 0 + 9*i**2. What is u(t(c))?\nAnswer: 18*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128398559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -0.02. Let n = -1.96 + -0.04. What is the closest to j in n, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a763 (base 13) to base 8\nAnswer: -55302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/3, -5\/4, 3\/5, -0.2 in decreasing order.\nAnswer: 11\/3, 3\/5, -0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 976 and 3294?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3884369 from 282156.\nAnswer: -3602213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 268867060 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(2\/19)*v)*v**7 assuming v is positive.\nAnswer: v**(112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 + 0)*(-6*a - 30*a + 8*a)*(5*a + 5 - 5).\nAnswer: 840*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose -1 = 2*t + h - x*h, 3*t + 2*h + 3 = 0. Let z be ((-22)\/77)\/(3\/7). Which is the third biggest value? (a) t (b) z (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - 10. Let x(j) = -3*j + 0*j**w + 6 - j**2 - 2 + 4*j**2. Let l(o) = -4*o**2 + 4*o - 5. Give -4*l(p) - 5*x(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000393321016 rounded to 5 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p + 7*p + 205 + 207 - 416 - 834*p**2 + 0*p wrt p?\nAnswer: -1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.89 + 7. Let o = 0.09 + y. Let g = -0.1 - -0.6. Sort -7, g, o in decreasing order.\nAnswer: g, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 470053158643 and -3.7?\nAnswer: 470053158646.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 10*a + 19. What is the tens digit of k(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*6*30\/(-240).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, -1\/5, -5\/7, -0.1, 10276?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20021 (base 3) to base 8.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.064 - 0.074. Let y = -6.1 + 6.0909. Let o = s - y. What is o rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3) - 0\/(-1). Let c(f) be the third derivative of -7*f**6\/120 - f**3\/6 - 2*f**2. List the prime factors of c(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*r + 36 = 0, r + r - 22 = -l. Let z = l - 4. What is the smallest common multiple of 2 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 - 2 = 0. Let z be k + ((-64932)\/(-32469) - 1). Let d = z + 335535\/119053. What is the common denominator of d and -43\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 21325?\nAnswer: -1\/4265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3476, 4314, 5152, 5990, 6828, 7666?\nAnswer: 8504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48328 + -27647. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-65)\/(-910))\/((-2)\/12). Which is the nearest to 1\/2? (a) -0.17 (b) 0.1 (c) -0.1 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13638 - -13649.889. Let b = 0.111 + t. Is b < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 48 + 128 - 2*x**3 - 39.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4200) - sqrt(4200)*1)\/(1*sqrt(6)*5 - sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + d - 19 = 2*d, -975*t + 972*t + 35 = -d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**38 assuming n is positive.\nAnswer: n**152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 132*y + 19. Let i be g(7). Let b = -422 + i. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0 + 0)*(-6*a + 2*a + a) + 0*a**3 - a**3 - 3*a**3 + (-3 + 16*a**2 + 3)*(-a + 0 + 0).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -23*i + 207. Let a(s) = -49*s + 404. What is 3*a(q) - 7*b(q)?\nAnswer: 14*q - 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g = -46*g + 30. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*p**2 - 192*p**2 - 860*p**3.\nAnswer: -860*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -5.07. Suppose -10 = -2*u - 3*z, -16 = -5*u + u - 4*z. Let x be ((-2)\/3)\/(u\/6). Which is the closest to x? (a) f (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 353 - 349 = 0. Suppose s*r = 24*r - 44. Determine x so that 4\/11 + 6\/11*x - 6\/11*x**r - 4\/11*x**3 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-12) - ((-159)\/18 - -9). Solve 4*g = -5*p, -3*p + o*g = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/5, -6.6007, 3\/8, 1\/2 in descending order.\nAnswer: 1\/2, 3\/8, -1\/5, -3, -6.6007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 6*j + 11. Suppose -70*t - 707 = 203. Let l(y) = -2*y**2 - 3*y - 5. What is t*l(f) - 6*r(f)?\nAnswer: 2*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 2:27 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 590.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/11, 3\/2, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147338\/45 - 3274. Is 1 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65293 + -914027\/14. Suppose -m + 6*m = 30. Does m = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67829 + -3?\nAnswer: -67832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312265*x**3 + 25*x**2 - 194*x - 9?\nAnswer: 1873590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368540463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 6.4. Let t = -102297641.99999943 + 102297636. Let c = t + d. What is c rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wddd. Give prob of sequence wdd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 126*b + 35. Let z(c) = -14*c - 4. Calculate 4*r(a) + 35*z(a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200110 - 12?\nAnswer: 10200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 7) + 1*4. Suppose 30 = -5*c - 35. Let p(b) = b**2 + 8*b - 44. Let v be p(c). Solve 3*z + v = l*k, -3*z - 3*k = 2*z + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-568)\/(-144)*1239\/1. Let m = -4868 + w. What is the common denominator of 33\/5 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 + 0.55. Which is bigger: -19 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Let j(n) = -n + n**t - n + 3*n - 2. Let y(k) = -k**2 - 2*k + 5. Let u be y(-4). What is j(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**2 + 55*m**2 - 28*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -547.5498024 rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-743)\/24519)\/(7*1\/21*(-2)\/(-2))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = 0, 5*l - 692 = 5*o + 53. Let u = l + -611\/4. What is the second smallest value in u, 6\/5, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdhk when four letters picked without replacement from {d: 2, t: 1, h: 6, k: 4}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-9)\/(-54))\/((-2)\/4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**3 - 1288*u**2 + 24156*u - 110160 = 0?\nAnswer: -340, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 110 + 81 - 77 + 5*g + 232 as j*g + q and give q.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m - 2*m + 3 - 4. Let b(o) be the third derivative of o**4\/12 + 47734*o**2. Determine b(h(a)).\nAnswer: 24*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.03 (b) 2\/21 (c) -2\/391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-1 - -37) + -3. Let s = m - 37. Sort 2, -4, s.\nAnswer: -4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.874 tonnes in micrograms?\nAnswer: 251874000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 925, 920, 903, 868, 809?\n\"Answer: -o**3 + 2*o + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + 11. Is -3 + a + (-1 - 3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545496.57ms to hours.\nAnswer: 0.151526825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*1*-4. What is the second biggest value in 0, j, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 4*d + 21 + 5, -4*d - 29 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467354 rounded to the nearest 1000?\nAnswer: 467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1110*c**2 + 2009.\nAnswer: 2220*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -18, 18, 68, 138, 234?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + w - w)*(-1 + 1 - 2*w) + 3*w - 11*w**5 - 3*w.\nAnswer: -13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(6*(-6)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 483 + -1?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579.790872 take away 179?\nAnswer: -3758.790872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.99 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 180405aa - 1?\nAnswer: 180405a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n - 16. Calculate j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 37*k + 124. Let w be d(-3). Suppose -3*n = -12, 3*y - 5 = n - 30. Let x be (-2 - -1*3) + -6. Sort -4, y, w, x.\nAnswer: y, x, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 + (3 - 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29359763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 18. Let m = 1.194 - 0.694. What is the biggest value in 1\/3, -0.4, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11079406769.5 + 98.\nAnswer: 11079406867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70330505.\nAnswer: 5, 7, 157, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-10)\/(-9)*(-34188)\/8140).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 10. Let i(h) = h**3 - 6*h**2 + 4*h + 7. Let c be i(s). Suppose -z - 3*z + 8 = 0. Do c and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197560607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-102512\nAnswer: -205024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.165188 + -70.810112. Let i = 0.0247 - t. Do -0.3 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1. Let u = 7 - 13. Let g(a) = 2*a + 8. Let z(x) = u*c(x) + g(x). What is the units digit of z(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:46 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.012444 times -6\nAnswer: 0.074664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 17*v**2 - 38*v + 13. Determine y(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-108)\/(-30)*(-15)\/(-6). Suppose 0*j + 2*p = -j + k, -3*j + 4*p = -17. Solve -3*h + 4*s - j = 5*s, -3*h = -4*s + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 956 and 36.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - o = 36. Suppose -4337 = -o*z + 3886. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27463 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-276)\/575)\/((-6)\/(-40)))\/(6\/(-15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/146 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 11515?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156411 (base 7) to base 15.\nAnswer: 9319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t - 129. Let u be p(15). Let f = -4.29 - -0.29. Which is the third smallest value? (a) f (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*3\/((-6)\/(-4)). Let t be (-56)\/w - (2 + -5). Let o be (-1 - (3 + t))\/(-2). Solve o = -5*q + 4*g - 10, 0*g + 2*g = 4*q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(0*h**2 + 6*h**3 + 0*h**2) + 6*h**3 - 2*h**3 - 2*h**3 - 5*h**3 + 5*h**3 - 2*h**3 as x*h + n*h**2 + b*h**3 + p and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 6*p + 6. Let u be z(-5). What is the derivative of -2 + 4*m - u + 4 + 4 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1370+0.9\nAnswer: -1369.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:36 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -100173 and -2203835\/22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**5 - 1147*z**3 + 10*z**2 + 998*z?\nAnswer: 300*z**2 - 6882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, -25, -264, -587, -988?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12\/91 - 167\/1365. Let t(h) be the third derivative of 0*h - 1\/30*h**5 + 4*h**2 + 0*h**4 + 0*h**3 - 1\/30*h**6 + 0 - w*h**7. Suppose t(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112\/6 - (-1)\/3. Suppose 3*d - s*d = -816. Suppose 0 = 3*g + n - d, g - 2*n - 3 = 7. What is the highest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(19 + -21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -7381*b + 7379*b, 0 = -2*h - 4*b + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -140622\/3085?\nAnswer: -140622\/3085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**3 - 5*v**3 + 12*v**3.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.682 - -1.681318. What is m rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from cyrrryyyrcyyyyyrryy.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) 33 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*c - c**2 + 0 = 0. What is c?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/3 + 0)\/((-20)\/(-45)). Suppose -3*p = -4*p + 2*z + 6, -r*p - 3*z = 0. Find the third derivative of -18*y**4 + 16*y**p + y**4 + 7*y**4 wrt y.\nAnswer: -240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/51973 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhsd when four letters picked without replacement from shhnsnseds?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6682, 53756, 181614, 430648, 841250, 1453812, 2308726?\n\"Answer: 6732*i**3 - 50*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3 - 2483951*u**2 - 9935792*u - 9935788 = 0.\nAnswer: -2483947, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 3443.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 1\/6*j**3 + 0*j**2 + 4*j + 0. Let x(a) = 6*a**2. Give f(x(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, -11.29, -2\/5, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 134\nAnswer: -134.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 141. What is the remainder when o is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 805 = 795. Solve 3*q - z*s + 31 = 2*s, -2*s - 2 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 7 = 13*g. Let t be (-6)\/20*(-1 - g\/3). Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*k + 53 - 0, k = 4*y - 97. Let n be y\/9*6\/(-4). Let a = -1 - n. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 386068155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnpu when four letters picked without replacement from pnupuunnupuuppuun.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -571414242 to the nearest one million.\nAnswer: -571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/33, 0.1398018, 0.5 in decreasing order.\nAnswer: 0.5, 0.1398018, -4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*k + 2*k - 5*w, -4*k - 5*w = -240. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22774 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/4624 and -52\/8109.\nAnswer: 2205648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + (-78)\/(-2). Let g = -18 + y. Let a(m) = -m**3 + 18*m**2 + 23*m - 26. Let b be a(19). Calculate the greatest common divisor of b and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o - 138 = -6*o. Let v(l) = -l**2 - 4*l + 24. Let f be v(o). Which is smaller: f or 39?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 + n**2 - n. Let m = 0 - -1. Let t be a(m). Suppose -p + 60*h = 57*h + 16, -p + 8 = 3*h. What is the third biggest value in p, t, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -33254401754.94?\nAnswer: 33254401747.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 23 - 23. Let l(g) be the second derivative of g**3\/6 - 2*g. Calculate h(l(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 27033*f\/2 - 54067\/4.\nAnswer: (f - 54067)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 4:12 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (sqrt(272)*-1 - sqrt(272)) + 3)*-6)**2 + 5 + -1.\nAnswer: -14400*sqrt(17) + 980104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 395211.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 + c - 93*c**3 + 3 + 3*c**2 + 0*c**4 + c + 1 - 3 to the form g*c**2 + t + a*c**4 + r*c + k*c**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87010 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 142 - -63?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -665*p + 612*p - 1658 - 939 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2061532.\nAnswer: 2, 11, 46853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607 - 521 + 1096 - 10*d**2.\nAnswer: -10*d**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50588053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267644, 267580, 267472, 267314, 267100?\nAnswer: 266824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.5 - 100.\nAnswer: -132.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1203*h*l - 64503*h + 9046*l + 107 wrt l?\nAnswer: 1203*h + 9046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2889492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(567) - 2*sqrt(567))**2 - (0 + sqrt(343) + -2 + sqrt(7)).\nAnswer: -8*sqrt(7) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1430?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 7*b - 6. Let i(o) = o + 1. Determine 6*i(m) + n(m).\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016183696 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w**(-3))*w)\/w))**(1\/47)*(w*w**(-2\/3)*w)**43)**(-37) assuming w is positive.\nAnswer: w**(-298886\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + (5 - -10)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2972 + 2972. Solve b = 7*h - h - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*s**5 - 32*s**4 + 23*s**2 + 60*s**3 - 827*s**5 + 13*s**2 = 0.\nAnswer: -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b, 0*m = m - 2*b + 20. Let w = m + 23. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 36. Let u(r) = -r**2. What is u(d(p))?\nAnswer: -4*p**4 + 144*p**2 - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**3 + 3*r**2 + 15*r - 242. Let z(b) = -b**3 + b**2 + 5*b + 1. Determine -d(m) + 3*z(m).\nAnswer: 9*m**3 + 245","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*(-1)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40104270 divided by -6999?\nAnswer: 5730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1841317 + 0.4?\nAnswer: -1841316.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + c = -c + 18, 0 = -2*a + 3*c - 1. Let q = -6 - -8. Find the second derivative of 0*d**5 + a*d**5 - d - q*d**5 wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480759?\nAnswer: 7, 199, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1598*j + 14. Let q(f) = 2*f. Give q(y(w)).\nAnswer: -3196*w + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 7. Suppose f - 2 = r. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - 3.92. Let a = 3.80124 + g. Round a to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -72. Let f(k) = 2*k + 3. Let x(a) = -6*a - 9. Calculate w*f(y) + 6*x(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 2\/5, -0.648, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1200*j - 2294*j + 297731 - 74115 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116657 - 57274. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001939 rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4.7. Let i = 2.9 - 3. Which is the biggest value? (a) i (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 121*m + 153. Let z be v(-1). Suppose 0 = 2*u - 64. Is z less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1398?\nAnswer: -1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**7\/420 - q**5\/20 - q**4\/6 + q**3\/3 + 2*q**2. Let c(r) be the first derivative of n(r). Factor c(d).\nAnswer: 2*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07545 and 70202.\nAnswer: 5296.7409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*c + 12, 3*c = 4*b - 6*b + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1008) - (2*sqrt(1008) + 5)) + (3 + sqrt(175) - sqrt(56)\/sqrt(8)*-1))**2.\nAnswer: 5148*sqrt(7) + 43677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 3*d)*(2 - 4 + 0) + 0*d - 3*d + 2*d - 9*d - 2*d + 3*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66143762 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2679 is divided by 168.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10604*n - 54424. Give z(-5).\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -2, -6, -56, 3, -3 in ascending order.\nAnswer: -56, -42, -6, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1139*v + 2938 = 1141*v. Suppose v - 1479 = -g. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -717c58 (base 14) to base 13.\nAnswer: -a3bc11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 + 52*j - 41*j + 3*j**2 + 2*j**2 to the form u*j + n + q*j**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 51*z**2 + 2*z - 5. Let q be d(-3). Suppose q = 5*c + 23. Suppose 0 = -3*r + 26 + c. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9792 and 69632?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358 - 676*d + 364 + 509*d**3 + 361 - 1083 wrt d.\nAnswer: 3054*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.053 - 0.193. Let q = i - 0.26. Let o = 13.6 + -13.5. Which is the third biggest value? (a) -4\/5 (b) q (c) o (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10614 and 87?\nAnswer: 10614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 934033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 4*r - 12, -2*x = -r - 10. What is the second biggest value in 1, -4, x, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30338 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4092 divided by 5\nAnswer: 4092\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -o, 4*r - 4*o + 13 = -11. What are the prime factors of ((-2)\/8)\/(r\/104)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 103 - 17 + 56060*w - 56055*w.\nAnswer: 5*w - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35153 - 0.353. What is f rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27535 - -47406. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {q: 7, u: 1, n: 1, i: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*x + 13 + 5 = 0, x - 4 = 4*j. Is (-14089)\/j - (-54)\/108 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = -5*m - 1351, -m + 2233 = -5*x. Let u = 852 + x. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -4638374894827.\nAnswer: -4638374894826.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477 + 1622 = -29*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -3 - (-7 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2860\/(-312) + (-1)\/(-6). Let t be (12 + n)*(-56)\/(-6) - 3. Suppose -2*c + 5*c = 75. What is the greatest common factor of c and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h - 12 = -4*f, h - 9 = -3*f. Suppose -f*u + 498 = 345. Calculate the greatest common factor of u and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2, -5, 5\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 - 8*o**2 - 4*o**3 + o**3 + 83 + o to k*o**2 + d*o + m + q*o**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-45)\/(-24))*5. Let g = h + -3. Suppose -g*l + 2*l = -c - 19, 6 = -2*l - 4*c. Solve -4*n = 3*u - 9, 3*u - l*n - 11 = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 4*r - 3 + 1. Let p(d) = 17*d + 37. Let x(n) = -10*n - 23. Let a(i) = 5*p(i) + 8*x(i). Calculate -5*a(f) - 3*c(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1274 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((111\/14)\/(-37))\/((-6)\/14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n + 2*n + 2*n)*(-1 + 0 - 1)*(11 - 1 - 2) + (2*n - 3*n + 0*n)*(-3 - 1 + 3).\nAnswer: 81*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(280) + sqrt(280)*-2)\/sqrt(8) - (sqrt(2240)*-2 + sqrt(2240))))\/(((sqrt(196) - sqrt(49))*-2)\/(sqrt(84)\/(sqrt(24)\/sqrt(2)))).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r**(1\/5)*(r\/((r**(2\/3)\/r)\/r*r*r)*r)**26)\/(r**(-2\/7)\/(r\/r**(1\/2)))**(-7\/8) assuming r is positive.\nAnswer: r**(7387\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*-12*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1057080 and 157\/2760.\nAnswer: 1057080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:54 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/5*(-75)\/(-6). Let v be 30\/130 - (-931)\/247. Solve 7*u - 5*j - q = 2*u, -j = v*u - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:24 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 35. Suppose 17 = v - b. Is 3 a factor of 6*6\/v*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111110001 + 11101110?\nAnswer: 11011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25682*g**4 - g**3 - 8237*g**2?\nAnswer: 616368*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10714880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009414 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 373082667 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-410)\/(-58) + 0 + -42*9\/54.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + i = 5*i + 41, l + i - 2 = 0. Let x(q) = 2 - 5*q**2 - l*q + 27*q**3 + 2 + 16*q - 28*q**3. Give x(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16705 is divided by 246.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634463.7 micrometers to meters.\nAnswer: 0.6344637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2192558 divided by 2186\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10582*q - 10583*q - 27 - 30 to the form s + h*q and give s.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -270*q**3 - 5*q**2 + 32*q - 54. Calculate x(2).\nAnswer: -2170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 18*p + 46. Let i be w(-15). What is the greatest common factor of 8 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1188, 2296, 3388, 4470, 5548?\n\"Answer: o**3 - 14*o**2 + 1143*o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + g + 3*g + 0*g**2 - 1 + g**3. Let i be u(3). Let h be (-4)\/6*(-15)\/i. Solve -21 = -4*a - s - h, 5*a + 2*s = 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117074 + 219777. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 13*o - 90 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2 and 85\/502.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 9*x = 17*x - 14 + 58, -x = -5*h - 56 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -2d9cb5?\nAnswer: -2d9cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -685, -1028?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 + 32*d - 104. Calculate the remainder when 354 is divided by y(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 4*u + 56. Calculate x(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, w: 3}. What is prob of picking 3 m and 1 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**2 + 155*p - 177. What is k(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -13 + 25 + -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3488145.52 from 0.1.\nAnswer: -3488145.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. What is the second derivative of z*o**3 + 4*o + 3*o - 2*o - o wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-50)\/275 + (-3)\/(198\/(-309)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 135\/(-25)) + -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18260 - 7349. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {u: 2, o: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**3\/3 - 6*t**2 - 3*t. Let a be y(8). Solve a*v = q + 11, -4*v = -3*q + 2 - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:25 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 2*o**2 + o + 31. What is b(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - f - 1475008 = -323594, -3*y = f - 1151428. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*f - 127 - 20733 = 0 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7170\/131 + 819745\/1179. Let o = 23161\/36 - r. Calculate the common denominator of o and -62\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**4*m)\/m)\/m)\/m**(-1))**(-34) assuming m is positive.\nAnswer: m**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-20) + (-17)\/(-5). Let j(h) = 255*h - 21. What is the tens digit of j(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*-2 - sqrt(190) - ((sqrt(190) - sqrt(190)*1)*3 + sqrt(190)))\/(-2*((-2*sqrt(80))\/sqrt(8) + 3*(sqrt(10) + 1*sqrt(10)))) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/49012 and 51\/1748.\nAnswer: 21418244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 107*t - 24. Let u be k(-27). Differentiate 19562*d - d**u + 4*d**2 - 61 - 19562*d wrt d.\nAnswer: -3*d**2 + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32563 - -54727. List the prime factors of x.\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12247, 12787, 14265, 17149, 21907, 29007, 38917?\n\"Answer: 78*l**3 + l**2 - 9*l + 12177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u = 2*x + 3, 0 = 3*x - 5*u + 5. Suppose -2*r + 1 = -5. Solve x = 3*c - 3*g - 0 - 18, 0 = -r*g - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*m**2 + 4*m**2 - m**4)*(-3 + 1 + 3) + 3*m**4 + m**4 - 16*m**4 + (1 - m - 1)*(m**3 - 4*m**3 + 2*m**3))*(2*m - m - 3*m).\nAnswer: 24*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7396 + 3522. Which is smaller: o or -3873?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (5 + (-7 - -3) - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -310, -416, -596, -850, -1178?\n\"Answer: -37*g**2 + 5*g - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*c**2 - 3 - 2 + 3.\nAnswer: -4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/4 - d**3\/2 + d\/4 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2549*2781.98.\nAnswer: 7091267.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 47895.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 13 (c) 4 (d) -1\/4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-21))\/5*12*3\/24.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -82, -8\/17, -2, 3.4?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 - -27)) + (-52 + 61 - 21).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2409*s**4 + 1122*s**3*x**3 + 2*s*x**3 + 66*s*x**2 + 2*s*x + 818*s - 4*x**3 wrt s.\nAnswer: -28908*s**2 + 6732*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-39)\/(w*w*w**(1\/2)\/w*w)**(-38) assuming w is positive.\nAnswer: w**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201 + 201 - 7*t**2 to the form z*t + a*t**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnndnnnnnddndddd. What is prob of sequence dnn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 583\/1445 - 1\/289. Let u = 0.0805 + 0.2195. What is the closest to f in 8, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014802513 to the power of 1\/3, to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -6633.0339435258.\nAnswer: -6632.6339435258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l - 36 = 71*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50140672.\nAnswer: 2, 97931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**3 - 290*a**2 - 445*a - 130.\nAnswer: 5*(a - 13)*(a + 1)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzznnnnnnn. What is prob of sequence znnz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88314 is divided by 44106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3082 and 603.\nAnswer: 27738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n - 1. Suppose -4*m = 2*b - 12, 5*m + 7 = 2*b - 41. What is the remainder when 4\/b + (-1550)\/(-14) + -6 is divided by i(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 1)*(l - 2*l + 0*l) - 12 + 3*l + 12)*(-62 + 113*l**2 - 113*l**2 - 3*l**3).\nAnswer: -15*l**4 - 310*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 + (-3744)\/260.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(432) - (sqrt(432) - -2*sqrt(432)*-3))*3)\/(5*sqrt(72)\/sqrt(2)).\nAnswer: -1 + 36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**2*x**4 - 11093*s**2*x**3 - 2*s**2*x**2 - s**2*x + 3*s*x**2 + 11215*x**2 wrt x.\nAnswer: -72*s**2*x - 66558*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 4*c, -x = -2*c. Let u = -1 + 2. Let t = x + u. Are t and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*x - 93 = 3*k, -5*k = -3*x - 465. Let c = k + -90. Solve -11 = v - c*q, 3*v - v + 2*q - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 33, -4, -18, -7 in increasing order.\nAnswer: -18, -7, -4, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x - 5. Let g(i) = i**2 + 3*i - 2. Let w be g(-2). Let h be y(w). Let o be 3 - ((-171)\/3 + 0). Calculate the greatest common divisor of o and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 7*o**2 - 2*o + 26. Calculate b(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 11 = -5*t + 45, 0 = 2*t + 5*n - 25. Let l = -1 + 3. Let k = -555 - -572. Solve -t*y = -l + k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h + 396 - 92 = -488 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 3, n: 2, q: 4}. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -1734795975.\nAnswer: -1734795964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 11:11 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120200 - 111111?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 81554563 to the power of 1\/2, to the nearest integer?\nAnswer: 9031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -1\/3, -2.5, -4 in decreasing order.\nAnswer: 4, 1, -1\/3, -2.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 + 3*j + 136. Determine t(0).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224.1 - -850.9. Let n = j + -1074.9994377. What is n rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 13*f**2 + 2*f + 4. Let u be v(0). Solve 0 = -2*z - 5*c + 31, -10*c - u = -3*z - 9*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than 44.3937?\nAnswer: 43.7937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6776.4 to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -40\nAnswer: -21\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*p = -0*o - 912, 2*o = -4*p + 882. What are the prime factors of o?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6.4. Let w = 0.400069 - b. Round w to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5022071, 5022070, 5022069, 5022068?\n\"Answer: -w + 5022072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208961335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072605 (base 10) in base 5?\nAnswer: 1012310410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1040*g**2*u**3 - 2643565*g**2*u**2 - 7*g*u**3 + 2*g wrt u.\nAnswer: 6240*g**2 - 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82\/5 + -16. Let w = 6\/17 - 13\/85. Sort -1, d, w.\nAnswer: -1, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 59 = 2*a, -4*a + 120*i - 62*i - 62*i = 108 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 497 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-24) - (-1)\/4. Let i be q\/3 + 10\/6. Suppose 3*m = 5*k - 0*m - 494994, i*m = 4. What is k rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/63727, 1 in descending order.\nAnswer: 1, -2\/63727, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/6)\/4)\/(33732\/(-4536) - -7).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 26*m - 22*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6236)\/9732 - 0) + (-4)\/(-6). Let t = z - -5107\/115973. Let n = t - -1503\/1001. Which is greater: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 57*d**3 + 63*d**2 + 33*d + 33. Let u(y) = -7*y**3 - 8*y**2 - 4*y - 4. Let k(o) = 4*h(o) + 33*u(o). Find the third derivative of k(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140860 + -10846844\/77. Let v = f - -64\/11. Which is the fourth smallest value? (a) -1 (b) v (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, l: 4, w: 1, m: 2}. What is prob of sequence wii?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236.8 - -237. Let j be 3\/(3\/(-8)*2). Let l be 1\/3*(-2)\/j. What is the second biggest value in v, 4, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.78 + -40. Sort -4\/5, f, 3 in increasing order.\nAnswer: -4\/5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318995189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18720 divided by -104\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 - -492221084197?\nAnswer: 492221084195.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 2 + 17 = -49*l + y, -6*y = 5*l + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12958, -13027, -13096, -13165?\nAnswer: -13234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 2. Let d be (10 - 1)\/((-3)\/(-8)). Suppose u - 6*u - 2*l - d = 0, -4*l - 16 = 2*u. Calculate v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, 23, 5, -6 in ascending order.\nAnswer: -6, -5, -2\/9, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:01 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w - 0*w - 27. Let r be ((-1)\/1)\/(((-15)\/(-10))\/w). Let o = -1 - -2. Solve -r*f = -o - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323649 at least 3323647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-6152073.\nAnswer: 12304146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(192) - (sqrt(192) + 0)) + sqrt(192)) + -4)**2 + -1*(sqrt(75) - (sqrt(75) + sqrt(75)*1 + sqrt(75) - sqrt(75))**2)*-1.\nAnswer: -59*sqrt(3) - 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 25118*l**3 - 50230*l**2 - 25114*l = 0. Calculate l.\nAnswer: -12557, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4 - 219*g**3 - 684*g**2 - 12*g + 912 = 0.\nAnswer: -2, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 67 = -5. Solve 0 = -7*d + r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhninjjinuinoujnn. What is prob of sequence jioi?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**5\/20 - 4*s**3\/3 + 3*s + 2. Let j(r) be the first derivative of g(r). Find the second derivative of j(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkblbdbbbbldblkb. Give prob of sequence dbdb.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(121)\/(sqrt(55)\/sqrt(5)) + -1 + sqrt(1331))**2.\nAnswer: -168*sqrt(11) + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1 + -7 + 11. Suppose -a = -r*a + 24. Calculate the greatest common divisor of a and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 4. Let j(c) = -11*c + 121. Determine -5*f(m) + j(m).\nAnswer: -m + 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -6149 = -6148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = -c + 7, -3*c + 12 = 3*x. Let g(b) = -b**2 - 1 + 0*b**2 + 4 - 2*b. Let h be g(-3). Solve a = -h*a + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12200 (base 3) to base 10\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -21. Let u = -42 + t. Let v = 64 + u. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4, -929 - 944 = n + 2*x. Let o = -221933\/119 - n. Do 1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3465 divided by -693.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -1\/8, 1178.87?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 54*k + 6. Let o(f) = f**2 + 19*f + 1. Calculate -j(l) - 3*o(l).\nAnswer: 2*l**2 - 3*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + d - 10. Does 41 divide x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(9\/24))\/((-2)\/72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i*i**12)))*i)\/i*i**(-6\/17)*i*i)\/((i**(-3)\/i)\/(i\/(i\/(i**12\/i)*i))) assuming i is positive.\nAnswer: i**(62\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30667 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127\/105 + -16\/15. Let a = 1\/148 + 283\/1924. What is the nearest to 1\/2 in a, i, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 84*g + 36. Let h be (-25)\/5 - 12\/4. Let k(b) = 56*b + 24. Let q(s) = h*k(s) + 5*i(s). What are the prime factors of q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(27) + (3 + sqrt(3) + 1)**2 - (sqrt(30) + (sqrt(30) - sqrt(150)\/(sqrt(5)*-2)))\/sqrt(10).\nAnswer: -7*sqrt(3)\/2 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1326.600006493 + 1326.6. Round y to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 12:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/5)\/(-3) - 1 - (-516086)\/215 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**6\/60 + 91*g**5\/60 - g**4\/3 - 5*g**3 + 430*g**2. Find the second derivative of f(v) wrt v.\nAnswer: 12*v + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 457?\nAnswer: 70\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (6 + 2 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/6015 and 97\/258645.\nAnswer: 258645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74224 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 23.83?\nAnswer: 23.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 2)*(-86 + 127 - 75) + (-1 + 2 + 0)*(0 - 2 + 3))*(-2*j - 4*j + 0*j) to k + u*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.032 + -34.968. Let t = -50 - n. Let q = t + 13. What is the third biggest value in q, 5, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z + 0 + 1\/3*z**3 - 1\/8*z**4 + 1\/60*z**5 + z**2. Let j(c) be the first derivative of f(c). Factor j(v).\nAnswer: (v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268\/7, 0, 247.\nAnswer: -268\/7, 0, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40273500*z**4 - 35059602*z?\nAnswer: 483282000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -172 - 284. What are the prime factors of l?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2 + 6 + 12*g - 4. Let f(i) = -i**2. Determine b(f(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 12*n**3 + n**2 - 5*n**3 + 0*n - 8*n**3 in the form v + u*n**2 + l*n**3 + a*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -819, -2, 0.003, 3\/2?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/5 - (-4)\/10. Suppose -p + 6*p + 10 = 0. Let q be ((-2)\/p)\/(4\/16). Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*z + 23 + 11)*(10*z**2 + 35*z - 35*z).\nAnswer: -20*z**3 + 340*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -11, 183\/8, 1\/21 in ascending order.\nAnswer: -11, -5\/6, 1\/21, 183\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -124 in -1, 1, 86, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -102?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, i: 11, l: 1}. What is prob of picking 1 v and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 28 = 2*o - 0*o, -4*m + 38 = -3*o. Calculate the smallest common multiple of m and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54 + 0\/(-1) + -2. Suppose -441*l - 44616 = -447*l. Suppose 18*i + l = 31*i. What is the highest common factor of v and i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46871665.\nAnswer: 5, 59, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {e: 8, d: 7, a: 3}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635217.\nAnswer: 3, 11, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4 - 9 - 9 + 2172*j**3 + 7 - 2227*j**3 with respect to j.\nAnswer: 4*j**3 - 165*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w**2 + w**2 + 6*w - 3*w. Let k(x) = x**2 + 4*x. Determine 5*c(f) - 4*k(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/10 and ((-83)\/3)\/(196\/21 - -6)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d**2 - 3*d)*(4*d**2 + 1 - 1) + (-3*d**2 + 5*d**2 - 3*d**2)*(5*d + d**2 - 5*d) + 3*d**4 + 2*d**4 + d**4.\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313\/545 - -14\/545. Let z(f) = f**2 + 7*f + 1. Let r be z(-6). What is the third smallest value in q, r, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.2 - -26.3. Let u = -23.5 + r. Which is smaller: 1\/4 or u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -424221405, -424221404, -424221403, -424221402?\n\"Answer: u - 424221406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.729451 - 25?\nAnswer: -73.729451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by 21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1536116838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 29 - (-1 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8.09. What is the second smallest value in y, 2\/7, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - t - 7*t**2 - 2*t to p*t + c*t**2 + i and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*x, 22*n - 21*n + 5*x = -17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2063285.01 to the nearest ten thousand.\nAnswer: 2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 divided by -2247.\nAnswer: 19\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q = -49*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7868 and 35?\nAnswer: 39340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22497520 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h**3 + 5*h**2. Let y(j) = -32*j**3 - 14*j**2. Calculate 14*p(a) + 5*y(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -0.3, 2\/15, -3366\/179?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/2210)\/((-11)\/55)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1639322052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times 3.92?\nAnswer: -13.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1*5\/1. Suppose -2*f - 15 = -w*j - f, j - 3 = f. Let u be (5\/j)\/((-14)\/(-42)). Calculate the greatest common factor of 55 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*d = -7*b + 53, 0 = b + 4*d + 13. Solve 2*h = 4*k - 3*h + 1, h = -k - b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.2 (b) 10 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 6. Suppose -5*t + 3*t - 3*b - 5 = 0, 5*b + 15 = -2*t. Let f(d) = 10. Let r(j) = 2 + 11 - 6. Let a(c) = t*f(c) - 7*r(c). Determine -6*a(g) + z(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**6\/135 + w**4\/54 - 4*w - 3. Let r(y) be the first derivative of v(y). Factor r(u).\nAnswer: -2*u**2*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431150.2ml to litres.\nAnswer: 431.1502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(-2)*s)*s*s)\/(s**(-3\/5)*s)*(s**(-2\/5)*s)**(2\/33) assuming s is positive.\nAnswer: s**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/45 + ((-365)\/(-75) - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -141*j - 21. Suppose -4*c + 4*o + 12 = 0, 3*c = 12*o - 8*o + 14. Is 36 a factor of t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -0.03\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 - 3 + 2)*(2 + 1 + 1236*a**2 - 1245*a**2).\nAnswer: -90*a**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3682 divided by 19076?\nAnswer: -1841\/9538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9725501 is divided by 6445?\nAnswer: 6441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/521 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*u - 3*u + 14 = 0, m + 121 = -5*u + 95 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0) + -111 + 106?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.06 (b) -2\/9 (c) -4 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 14*z + 8.\nAnswer: (z - 4)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/23416 and 109\/20?\nAnswer: 117080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43532762 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*j - 2*j + v, 5*j + 45 = v. Let z be (-60)\/j + (-1)\/2. Let o(p) = -p**3 + 8*p**2 - 6*p + 7. What is the units digit of o(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767 and 1354522?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -31.987. What is i rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -24, 1\/4, 0.2, -28, -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 43, -0.3, 0, -26, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943707.\nAnswer: 23, 84509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 27*p**2 + 17*p - 1249. Give n(-29).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j = -977 + 229 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-1 - -1) + -12 + 12). Let s be -2 - x - 2 - (-19 - -12). Suppose 0 = m + s*d - 91, 2*d = 3*m - 264 + 24. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 116545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -478, -956, -1434, -1912, -2390, -2868?\n\"Answer: -478*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 3*c**5\/25 - 259*c**4\/20 + 6113*c**3\/15 - 22181*c**2\/10 + 6724*c\/5 + 3946. Suppose s(k) = 0. What is k?\nAnswer: 1\/3, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-4))\/((-68)\/(-3264)). Determine z so that 2*z - x*z**2 - 162*z**2 + 326*z**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 13*c**4\/24 - 7*c**3\/6 - 2*c**2. Does 15 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/60 - 5*s**2. Let h(v) = 11*v. Give h(z(a)).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60909 and 167307.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -200758253505959.\nAnswer: -200758253505957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30224083*r**2 - 7891347*r - 4 wrt r?\nAnswer: -60448166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 + 9*o - 9*o)*(7 - 2*o - 7) + o**5 - o**3 + o**3 + 0*o**4 + 2*o**5 + 0*o**4 - 2*o**4 + 0*o**2 + 0*o**2 + 3*o**5.\nAnswer: 12*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045541 rounded to three decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 l when three letters picked without replacement from bskskssssklksbsqsbks?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -0.7. Let z = 0.081 + 8.919. What is the closest to i in 0, -0.1, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189274 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 16. Determine d(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 620704 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1200 + 8465. Is h a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 11*m**2 - 10*m - 5. Suppose -3*j - 25 = -d, -2*j = 2*d + 29 + 1. Calculate b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 36*m - 176 = -37*m, -5*m = 5*n + 55. Which is smaller: n or 368?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*-2 - sqrt(77)) + 2*(sqrt(77) + -2*sqrt(77)))\/(-2*((sqrt(11) - 1*sqrt(396)) + 2*sqrt(704))).\nAnswer: -sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 16*j - 65 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11560?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w + 18*w**3 - 15*w**3)*(-3*w**2 + 2 - 2).\nAnswer: -9*w**5 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -416 in -0.4, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4922*v**2 - 4 + 4.\nAnswer: 4922*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-16))\/((-2)\/(-64)*2). Solve z - 13 = -w*p, -4*z - 3*p - p = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 61?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.37 in -1, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.995 and 19.\nAnswer: 18.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 469*a**2\/4 + 55687*a\/4 - 162867\/4.\nAnswer: (a - 233)**2*(a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34615\/(-6450) + 22\/4. What is the closest to 0.02 in c, 0.2, 1, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*o + 68*o - 321 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -203*x**5\/12 - 58*x**3\/3 - 834*x**2. Let v(y) = -26*y**2 - 3. What is -3*l(b) + 116*v(b)?\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 6*z. Suppose 0 = -5*g - z*g + 80. Suppose -2*y = 2*y - g. Solve 4*l = -20 + y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.51 - 17.51. Which is the third biggest value? (a) 0.5 (b) -11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1107\/5 + 4449\/20. Find the common denominator of z and 127\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = 161. What is the remainder when d is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/36*56\/(-378).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022806 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = 5*t, 0*q - 3*q = -5*t - 4. Let r be (-104)\/(-6) - q\/(-6). What is the greatest common factor of r and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*l + 228, -5*m - 2*l + 236 = 2*l. Let j be (-4)\/(-1) - (-3 + 1). Suppose -j*d = -100 + 10. Calculate the remainder when m is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 18 - (0 - 8 - (88 + -26 + -11))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t. Let o(g) = -36149*g + 72298*g - 36149*g - 17169*g**2. Give o(m(y)).\nAnswer: -68676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, 77, 2, -52?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-5600)*232 + 11\/(-44).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7 + 0.3. Let w = -42 + 41.9. Is s at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 76. Suppose 10 = 9*h - r. Suppose -3*c = -0*c, -3*c = h*f - 456. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-7) - (-68)\/28 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*0.116.\nAnswer: 1.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = 6*u + 85. What is the third biggest value in -3\/7, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92347168049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from bxbxxxb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + -4 - -5 - -2 - -5. What is the first derivative of 8*s**2 - 31*s**a + 71 - 15*s**3 - 8*s**2 wrt s?\nAnswer: -138*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 112 = -43. Suppose 5*r - 41 = s, -r - 121 + 105 = 2*s. Which is the third biggest value? (a) s (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269123, -1076469, -2422043, -4305845, -6727875, -9688133, -13186619?\nAnswer: -17223333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92457*d**3 - 28*d**2*o - 476*d*o + 3764*o wrt d?\nAnswer: 554742*d - 56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 573 and 34730.\nAnswer: 19900290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1414*x**3 - 878*x**3 - 877*x**3.\nAnswer: -341*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6260 is divided by 1854?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 104*i**2 - 349*i - 4606. Calculate r(-101).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217409a (base 11) to base 6.\nAnswer: 213412325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -18*b + 581. Calculate a(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172336763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65335332 - 26535332. Suppose 0 = -y, i = 4*f + 3*y + 2*y. What is f rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 18 + 12 + -3 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 1\/3, 0.06, 6, 0, 0.6, -1\/99?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 0.1, 2, -5\/2, -0.9 in increasing order.\nAnswer: -5\/2, -0.9, -0.11, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12050 + 12055. Solve -j = 2*d + z, 2 = -3*d - 2*z - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - 9\/(-9 - -12). Put 4, -9, q in ascending order.\nAnswer: q, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 225520, 225471, 225422?\n\"Answer: -49*t + 225569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 18. Determine h(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*u = -22, 3*r - 4*r = u - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -97, -102, -105, -106, -105, -102?\n\"Answer: n**2 - 8*n - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19229531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*c - 28, 146*c + 26 = 141*c - 4*o for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Factor 3*s + 9*s**x - 3*s**4 - 317 - 9*s**2 + 317.\nAnswer: -3*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 75*y**2 + 11*y. Let h(p) be the second derivative of 5*p**4\/4 + p**3\/3 - 6*p. Let o(b) = 2*d(b) - 11*h(b). Let v(u) = -2*u**2. Determine o(v(f)).\nAnswer: -60*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 19*n - 14. Let l be y(10). Sort l, 2, 0, -20 in decreasing order.\nAnswer: 2, 0, l, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -1.5, 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 0.06.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28652\/40600 - (-10)\/14 - (1 - 27\/25).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57980 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106104 is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/(3\/(-621)*-6). Solve 2*l + 60 = k for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -4030.7\nAnswer: -52399.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17739312 and 48336.\nAnswer: 17739312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzbb when four letters picked without replacement from zbzbbbbz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxgggggxxgggggxggx. Give prob of sequence xg.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 3*o = -117583, 5*s - 4*o - 117579 = 0. Let j(l) = -1650*l + 6. Let k be j(-7). Let p = s - k. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*-4)\/(sqrt(10)\/sqrt(5)*1).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 + 234. Sort c, -55, 5 in ascending order.\nAnswer: -55, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3865, 7726, 11587?\nAnswer: 15448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1863?\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/((sqrt(99) - (sqrt(99) - sqrt(99)*3))\/sqrt(9)) + 1*(-2*sqrt(405) + sqrt(405) + sqrt(405))**2)*2.\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21078 divided by -819\nAnswer: -2342\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = -7. Suppose t + 9 = v, 0 = -v + d*v + 5*t + 17. Solve -3*w + 5*w - v*k = -30, -3*w - k = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119556989 or 119556990?\nAnswer: 119556989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/5 - 30870*o = 0. What is o?\nAnswer: 0, 77175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 3 + 2 + (141 - 115).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/8 - 1034693*t\/8 + 206939\/4.\nAnswer: -(t + 206939)*(5*t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 288\/112 + (-4)\/7. Let i be 3\/(-9)*0\/(-5). Solve i = k*y - 19 + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.048 + 1.048. Let s = -21\/80 - -1\/16. What is the nearest to 0 in y, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24669645 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0609 (b) 1\/4 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -1 - -4*(sqrt(13)*-1)**2.\nAnswer: 3*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)*(d\/(d*d\/(d\/(d*d**28))*d))\/d)\/(d**(1\/7))**3 assuming d is positive.\nAnswer: d**(-346\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -8. Let f(y) be the first derivative of y**2 - 6*y + 302. Give f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 6*r**2 - 12*r + 3. Let a be v(3). What is the closest to -1 in -0.2, 16\/7, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10262*c + 10262*c + 2*c**2 + 0*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuaucuuuu. What is prob of picking 1 c and 1 u?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.15 + 0.15. Let t = -11.66 - 8.384. Let q = t - l. Round q to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 594 - 1125\/2. Calculate the common denominator of j and 59\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 15, 0*q - 2*q - 22 = 4*n. Let z be (-15)\/(-12) - 0 - 1. What is the nearest to z in n, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2408512 + -2407796.9709. Let p = 715 - c. Round p to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -146640403 less than -146640408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let p(w) = 204*w + 535. Let v(c) = -137*c - 534. Let g(t) = 2*p(t) + 3*v(t). Determine g(k(m)).\nAnswer: 3*m - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1534 = -2*x + 4*k - 1490, 3*x = -4*k - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 52.8. Let x = -1.07 + -0.13. Let k = z - x. Which is the closest to 1? (a) k (b) 0 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 85.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4326*l**2 - 43*l + 10. Let w(m) = -m. Calculate q(w(j)).\nAnswer: -4326*j**2 + 43*j + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 3*t**2 - 8*t - 61. Calculate z(7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322222410 (base 5) in base 13?\nAnswer: 38b417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 38565*i**2 - 77121*i + 38559.\nAnswer: -3*(i - 12853)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002596 rounded to 6 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:43 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 17 = -1. Let o = n - -15. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1420, -6202, -14992, -28462, -47284, -72130, -103672?\nAnswer: -142582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 13 + 0*s + 3 + (-9 + 0 + 1)*(s + s - s).\nAnswer: -9*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03390764 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5710147 divided by -6\nAnswer: -5710147\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*k + 14, -2*k - 5 - 1 = 0. Let c = t - 8. Calculate the smallest common multiple of c and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (19 - (-12 + 30) - -3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 759508655 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892*m - 130812 = -325*m + 100236 - 77706 for m.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 24*z**2 + 3*z - 31. Let k be j(24). Let i = k + -43. Which is greater: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 5)*((-2*n**2 - 5*n + 5*n)*(-2*n**2 - 10*n**2 + n**2) - 2*n**4 + n**3 - n**3) as j*n**3 + a*n**4 + r*n + t*n**2 + c and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15046*l + 30138*l - 15070*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b. Suppose b = 3*r - 6*r + q + 4, 2*r - q - 2 = 0. Solve 0 = t - r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3324 divided by 277?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12391 + 17612. Calculate the greatest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/20 + p**4\/4 - p**2\/2 + p. Let u = 10 - 9. Calculate y(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2916 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(18) + sqrt(2) + -3*sqrt(2)*-4)**2.\nAnswer: 96*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186951673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 + 0.16. Let a = -0.49999969 + u. What is a rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-4)\/4*2. Suppose -2*d = 3*h - 12, 0 = h - 5*d - k*d + 13. Solve -o + h*u = 9, -3*o - 2 = 2*u - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 - (-5 + 7 + 1). Suppose 0 = -t*z + 3664 + 5158. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, e: 2}. What is prob of sequence fffe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*r - 74829 = 0, -14 - 1 = 3*r. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i - 4. Suppose 0*u - 3*u = -12. Suppose 8 = 4*z, 0*w = w + 2*z - 14. What is the remainder when c(u) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*n - 87 = -0*u, -31 = -u - n. Suppose -g = -s - 0*g + 7, 5*g - 5 = -5*s. Suppose 2*o = -0*o + 4, 2*o = s*z - u. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 249494, 498985, 748476, 997967, 1247458, 1496949?\n\"Answer: 249491*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2044, 4119, 6236, 8395?\nAnswer: 10596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(9\/5)*v\/(v*v**(3\/10)\/v)*(v**(2\/3)\/v)\/v**(1\/9))**43 assuming v is positive.\nAnswer: v**(2365\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - 2*m. Suppose -5*o = -4*b - 6 - 28, o - 2 = -4*b. Suppose h - m = o. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + 211031311010?\nAnswer: 211031310201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -76?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2. Let k(f) = -9*f + 3*f + 4*f + 3*f. Give s(k(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.98 - 1535.02. Let g = -1632.12 - j. Round g to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -3*d - 30, 1435*m - 1442*m + d = -10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15291 - 9891. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = m + 21. List the prime factors of 14\/77 - m\/22.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*k - 1148, -6*k + 2*k = 5*v + 1148. Let g = -199 - k. What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9668105?\nAnswer: 5, 173, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541419 = -o - 4*y, -2*o - 14*y + 13*y + 1082873 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 219*r**3 - 397*r**3 - 3*r**2 + 598*r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from aaayvqvvamqvyvqmq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h*l*x**2*y**2 + 2*h*l*x**2*y + 4*h*x*y + 2*h*y**2 - 113*l**2*x*y**2 + 62*l**2*y - 61*l*y wrt y?\nAnswer: 26*h*l*x**2 + 4*h - 226*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-26)\/(-20). Let x = 7 - 3. Let d = 5 - x. Is o != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(19) + 0)*3)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 2) + 0 - 4. Let l(z) = -3 - 4*z**2 + 1 - z**3 + 0 - 4*z. Let x be l(i). What is the greatest common divisor of 3 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*c*u**3 + c*u**2 - c*u - 37*c + 2*u**2 - 2*u wrt u?\nAnswer: -54*c*u + 2*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101654565\/223 - -455849. Let p = -6990 - -23381552\/3345. Let w = d + p. Is -2 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 + 6 = 0. Let r(l) be the third derivative of -l**4\/24 + 2*l**3 - 11*l**2. Let i be r(4). Solve 0 = d + q*g - 6, -i = -4*d - g + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 150. Let y(j) = -j**3 - 11*j**2 + 32*j + 357. What is the lowest common multiple of y(-12) and o?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 + c**2 + (-5 + 5 + 3)*(2*c**2 - c**2 + 0*c**2) - c**2 + c**2 + c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:13 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 182400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 447670 divided by 10?\nAnswer: 44767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 != -276\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Let q = 0.7 - j. Suppose 19 + 17 = 9*y. Which is the closest to -1? (a) 1\/2 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*l + 1, 9 = 2*y - 5*l + 2. Is -13*(0 + -1)*y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459243856?\nAnswer: 2, 28702741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14 - 151\/(-7) - (31 - 23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**16)**(-3)\/((z\/(((z*z**(-8\/7)*z)\/z)\/z)*z)\/(z**(-39)*z)))**(-27) assuming z is positive.\nAnswer: z**(16848\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-342)\/1140?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a7 + -5?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + -1. Let n be (-18)\/r*(-10)\/(-3). Solve 3*m + 10 = 2*d, -d - m = 3*m + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114312126?\nAnswer: 2, 3, 937, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*h - 33*h - 45*h.\nAnswer: -149*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -84094?\nAnswer: 3\/84094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y*y\/(y*y**0))\/y)\/y))**(-23)*(y*y**(-5))\/(y*(y*y**(-2\/15)*y)\/y*y))\/(y**(-4)*y**(-2\/3)*(y\/(y*y**(2\/3)\/y))**(-42)) assuming y is positive.\nAnswer: y**(-171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689348 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 8591, 4, 12, 1\/50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*n - 194 = 0, 4*g - 3*n = 3*g + 44. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 - a - 1. What is t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3269*f**3*n**2 + 2*f**3*n + 30*f**3 - 3*f**2*n**2 + 4404*f**2*n + 2*f*n**2 - 8*f*n wrt f?\nAnswer: 19614*n**2 + 12*n + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4915, 19587, 44041, 78277?\n\"Answer: 4891*t**2 - t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/36212235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.23 (b) -22.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3\/5*w**3 + 0 - 6\/5*w**5 + 3\/5*w + 9\/5*w**2 - 9\/5*w**4 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306073, -3, 4 in increasing order.\nAnswer: -3, 4, 306073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1738, -1764, -1790?\n\"Answer: -26*y - 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rffqiqsirfqfffsqf. Give prob of sequence qfi.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.1633\nAnswer: 0.01633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660.4 - -746?\nAnswer: 5406.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pplpppppl. Give prob of picking 2 p and 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 + j. Let w(y) = 6*y**3 - 100*y**2 + y - 3. Calculate -3*g(h) + w(h).\nAnswer: -3*h**3 - 100*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 15.4.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 53. Let h(z) = -z**3 - 5*z**2 - 4*z + 3. Let d be h(-4). Suppose 5*v - 20 = -4*f, -d*f = 2*v - 2*f - 5. Solve v = -0*s - 4*s - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 greater than or equal to 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1247 - -1251. Suppose 4*a - 12 = a. Solve -2*b + 35 = 5*t - a*b, j*t + 3*b = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 46*k**2 = 0. Calculate k.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 10134.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22788605537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -119. Round l to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -151663, -303328, -454993, -606658, -758323, -909988?\n\"Answer: -151665*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -42. Is q greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + -0.08. Is -0.09 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/26)\/(290\/1885)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*n + 0 = -3, 5 = 5*b - 5*n. Solve m - 8 = a, 5*a + b = -19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5232912 is divided by 436068?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -95c?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96.11 + 0.11. Let z = f - -99. What is the second biggest value in -4, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 3235204340?\nAnswer: -3235204331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17468185963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (8 + 22) - -40) + -18 + 55 + 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 37*v**2 + 13*v. Let i(n) = -19*n**2 - 6*n. Let b(j) = 5*i(j) + 2*z(j). Let a be b(-6). List the prime factors of a\/(-10) - 2\/10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1518373\/72 - -21089. Let n = 101171\/12 + -8440. Find the common denominator of n and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11098686?\nAnswer: 2, 3, 709, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 1 + 5)*(12 - 10 + 3) + 1 + 2 - 4)*(26 - 28 + 77)*(1 + 0 + 1)*(g - 2*g - 4*g) to w + u*g and give u.\nAnswer: -6750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-9)\/6)\/(1*39\/(-52))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1277.25087 hours?\nAnswer: 7.60268375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345\/(-45) - 3*(-10)\/45?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133706 is divided by 14552?\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r + 5483. Let v be s(0). Is (-5 - -4)*(-2*v)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*x + 83 - 83)*(4*x - 3*x + 2*x) to the form c*x + a*x**2 + b and give a.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25031, 25182, 25405, 25700, 26067?\nAnswer: 26506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149375 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by -81\nAnswer: 106\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 5) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 + 6948*n**3 + 4015938*n**2 - 8052732*n + 4029843 = 0. What is n?\nAnswer: -1159, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.775539 millilitres?\nAnswer: 0.000775539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 509944 or 509989?\nAnswer: 509944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 253495782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 5*z**2 - 6*z. Let i(h) = 2*h**3 + 17*h - 22*h + 10*h + 3*h**2 + h**2. What is -4*c(l) - 5*i(l)?\nAnswer: -2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-125)*5)\/((-64)\/(-160))*-18.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d - l, 4*d + 16*l - 7 = 13*l. Solve 6*h + h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1200 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9*g**2 - 23216*g + 0 + 23216*g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.95 - 0.05. Let p = -47.329 - -47.129. Let l = -27\/4 - -7. What is the biggest value in n, p, -2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 86371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/12 - b**3 - 19*b**2\/2 - 2*b. What is the tens digit of f(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)*2*6)\/(-2*2*sqrt(10))*2.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.808783 to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s, 0 = -g - s. Round g to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 - ((-5056)\/(-72))\/8 and -13\/620.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.9 + 7.1. Let k = -28 + h. Suppose 70 = -10*y - 4*y. Put 5, -3\/7, k, y in increasing order.\nAnswer: y, -3\/7, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*u**2 - 3 + 3 + 217*u**2.\nAnswer: 99*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -3\/5, -8\/5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -4, 4798484 in descending order.\nAnswer: 4798484, 67, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 k when three letters picked without replacement from kfewneyfyfkeffwef.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17\/3, -0.1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w - 13*w + 6*w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26 - -28) + ((-20)\/(-30) - (-122)\/(-48)). Which is smaller: r or 315?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*y + 97 + 40, -5*k = y - 657. Suppose s - 17 = 24. Let b = s - k. What is b rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3257 + 3244. Let c(w) = w**2 + 13*w + 26. Determine c(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18495390484 rounded to six dps?\nAnswer: 0.184954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0193 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 1332?\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 1, w: 5, d: 1, i: 10}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**3 - j**3 + 2*j**3)*(-21 - 1 - 6) + 5 - 2*j - 5 - 3*j**3 in the form q*j**2 + n*j + i + l*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 38640005 = -n, 10*v = 7*v + 4*n + 28980020. What is v rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -817976 - -6?\nAnswer: -817970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12976 <= -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let w = -2 + y. Let b = -0.905 - 0.095. Put b, w, 3 in ascending order.\nAnswer: b, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2668805 rounded to three dps?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 225*g**3 + 163*g**2 + 9*g + 9. Let s(i) = -113*i**3 - 82*i**2 - 4*i - 4. Let n(h) = 4*k(h) + 9*s(h). Find the third derivative of n(p) wrt p.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 68 = v + 2*u, -2*u = -6. Let g = v + -38. Suppose 5*b - 2*o - g = -6*o, o + 11 = 3*b. Put b, 6, 2 in decreasing order.\nAnswer: 6, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224\/(-12)*((-9)\/2 + 0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 592 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3670372 by -917593.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 21853326.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-18))\/(-80*23\/(-368))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-10) - 378\/(-280). Factor -1\/2 - 7\/4*y**3 - g*y + 3*y**2.\nAnswer: -(y - 1)**2*(7*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 17*c**2 + 10. Let o be w(17). Solve 62*y + o = 60*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1307 (base 13) to base 7.\nAnswer: 10622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = -18*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12546 - -1919590\/153. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298*i**6 + 17*i**3 - 52*i**2 + 2*i + 64 wrt i?\nAnswer: -35760*i**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 10. Let h be s(10). Suppose 0 = 2*u + 5*o - 292 + 272, 0 = -2*u + 3*o + 4. Solve -11*b + u*b - 6 = h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10c4e + -5?\nAnswer: 10c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 9. Let o(n) = -2*n**3 - 4*n**2 - 2*n. Let r be o(-2). Let d be 2 - (-4 + -1 + r). Solve 0 = -d*q - 2*q - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1041 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 500395 (base 11) to base 12\nAnswer: 32a336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 2*r + 3*c - 357, 0 = 3*r + 4*c - 428. Let u(b) = -8*b - 98. Let h be u(-13). Is (r\/h)\/((-6)\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, -22, 83, 554, 1583, 3362?\nAnswer: 6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32 - 12.68. Let r = t - -2. Let s = r - -7. What is the third smallest value in s, 2\/19, -1\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181928919 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004620924 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136581 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04015 and 2.\nAnswer: 1.95985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 337.\nAnswer: -4\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.01*25.\nAnswer: -450.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 0*s**2 - 3 + 0*s - 2\/3*s**3 - s**4. What is the third derivative of q(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-18) + 3\/((-54)\/(-56)). Solve b*u = u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 - o + 12. Let d(l) = 9*l**2 + 2*l - 23. Let j(i) = -4*d(i) - 7*m(i). Determine j(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21051, -21046, -21039, -21030, -21019, -21006?\n\"Answer: n**2 + 2*n - 21054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 + -286. Let g(y) = -6*y + 29*y - 10*y - p*y. Let x(u) = -5*u. Let c be (9 + -5)\/(8\/6). Calculate c*g(z) + 7*x(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 5*g - 24 = 5*t, 3*t - 3*g = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90, 41, 2, -27, -46, -55?\n\"Answer: 5*x**2 - 64*x + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -135 + 131. Let p(s) = 10*s + 356. Let h be p(-36). Is o <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 12. Let s = 10 - 5. Suppose 57 = s*d - 3. Calculate the greatest common divisor of d and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388.331 < 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040722 at least as big as 8040717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-15))\/(6\/(-117)). Let w = 57 - j. What is the least common multiple of (8\/5 + -2)\/(w\/(-50)) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o = -60 - 107 + 51 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 135976 times 0.29\nAnswer: 39433.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 67*f - 2266. Give n(33).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 9. Suppose g + 64 = 65. Solve -2*t = g + p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 25 = 2*l, -5*l - p - 40 = 4*p. Let n = -0.49471 + 0.29471. Which is the nearest to -1\/5? (a) 5 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2664 - -10657\/4. Let f = -1 - -1.06. What is the nearest to f in q, -1\/6, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-54))\/(5\/(60\/(-21))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 468?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1011 divided by -3\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - ((-216)\/(-28) + -4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {s: 2, i: 3, t: 4, u: 1, z: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132)\/(sqrt(12)*-1 - sqrt(12))*5 + 4*-1*sqrt(44))*-2*-4)**2.\nAnswer: 1241856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(931)*-3 - sqrt(475)*-1*6)**2.\nAnswer: 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 0.3 (c) -0.5892 (d) 2 (e) -3 (f) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h*h*h\/(h\/(h\/(h**(-6)*h*h*h)))*h)\/((h\/h**(-2\/3))\/(h*h*h*h*h**(-9)*h)))\/((h**(-1\/5))**(-2\/37))**12 assuming h is positive.\nAnswer: h**(1223\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**7\/1260 + r**6\/360 - r**5\/360 - 13*r**2. Find k, given that a(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by 2?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 7. Let j(a) = -478 + 249 + 230. Calculate -6*j(k) - y(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, z: 2, i: 4, d: 1, t: 3}. Give prob of sequence zs.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 592810 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) 7489 (c) -0.3 (d) 2\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5573 divide 5165390780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.69 + -0.6899852. What is h rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 10)*(5 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (3\/(-6))\/((-4)\/8). Put 18, n, -4 in increasing order.\nAnswer: -4, n, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 1 - (-466 + 469)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227.214 - 227. What is p rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {r: 5, c: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/17)\/(-67*(-68)\/13668)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22338955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551661.4 microseconds in minutes?\nAnswer: 0.04252769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 462 in 0.4, 0.1, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -345 - -351. Solve -q*y + 1 = -29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3485 is divided by 1008?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.38. Let a = 18.52 - u. Let i = a - 16. Sort 0, i, 2 in descending order.\nAnswer: i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120228*f + 59985*f - 5*f**3 + 60243*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/185865 or 1?\nAnswer: 32\/185865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.262 + -0.2218.\nAnswer: -5.4838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0, 3\/17, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w + 2*a = -62*w - 4, -2*a + 4 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -188663, -377558, -566453, -755348?\n\"Answer: -188895*z + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 - 5*h**2 + h**2)*((h - 1 + 1)*(h - 4 + 4) + h**2 - 8*h**2 + 0*h**2).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*p**5 + 182 - 362 + 181)*(-3 + 10 - 6).\nAnswer: 40*p**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 91.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = 11*u + 525. Let k be 811980\/u + (48\/(-21))\/(-4). What is k rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*((a*a**(2\/33))\/a)\/a*a*a*a)*a**(-4\/9))\/((((a\/a**(3\/4))\/a)\/a)\/a*((a*a**(-4\/5))\/a)\/a*a) assuming a is positive.\nAnswer: a**(6029\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Suppose t*q - 8 = 5*j + 27, 3*q + j = 10. What is the second derivative of 11*r**q - 6*r**5 - 3*r + 2*r wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -7*v - 103. What is the units digit of (-1 - (4 + 30))*v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(20\/1324612)*(0 - 2). Let a = 94694 + j. What is a rounded to the nearest 10000?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*sqrt(847)*1.\nAnswer: -5 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1 + -19 + -359 + 373)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -145 + -3?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*q - 154*q - 119*q - 130*q + 532*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 18581.9, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*a - 183*a + 21 = 0. Let c be (-5 + a)\/(-4)*(12 + -12). Solve c = 2*r + 3 - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 7*g - 79. Let u be w(-13). Sort 5\/4, 0, u.\nAnswer: u, 0, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -543504 to the nearest one thousand.\nAnswer: -544000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -5*i**3 - 59. Let p(q) = 11*q. What is p(k(n))?\nAnswer: -165*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4222162.\nAnswer: 2, 7, 301583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 20*q + 45. Calculate the smallest common multiple of o(18) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 90388 - 90128. Solve -57*c = -q*c + 4*o - 14, -5*c + 3*o = -7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.5 - 9.5. Is u smaller than -1646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 106, -7, 2.\nAnswer: -7, 1\/3, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-20\/9)*u**(-2\/19))\/((u\/(u**(-22)*u)*u)\/u)**(-2))**49 assuming u is positive.\nAnswer: u**(357553\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 12*x**2 - 10*x - 9. Suppose -3*r + 4*r - 4 = 0. Let g(s) = -s**3 + 5*s**2 - s - 1. Let t be g(r). Let a be z(t). Which is greater: 5\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*j - 28*j = -819*j - 66192 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.5951 - -16.03. What is y rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 53. Let t = p + 25.0000005. What is t rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 2. Let p be i(-4). Suppose 23 = 2*y - 5*r, -y + 2*r + 2 = -p*y. Suppose -k = y*k - 25. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2\/29, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnwn when four letters picked without replacement from {w: 11, n: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (236\/236)\/(0 - 1 - -2). Which is the smallest value? (a) -45 (b) -1 (c) i (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 705, 3 in ascending order.\nAnswer: -2, -1, 3, 705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1291356596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16409119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:06 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86338 = -n - 3*x + 86315, -x = 2*n + 26 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*n - n. Let s be (-4*(-4)\/n)\/(-1). Let x(p) = p - 5 - 2*p + 1 - s*p - p**2. What is x(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 2*i)*(5*i + 0*i - 3*i) - 109*i**2 + 55*i**2 - 121*i**2.\nAnswer: -171*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:21 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 74. Let j be 15\/(-7 - l) - -21. Let r = 44 + j. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 20. Suppose -5 - n = -4*m. Suppose -48 + 219 = m*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19945*y**4 + 9853978*y**3 - 9853978*y**3 + y**4 + 0 + 0 + 0*y**4 - 3*y**4 + 2*y**4 + (-4*y**3 + 2*y**3 + 3*y**3)*(-2 + 2*y + 2).\nAnswer: 19947*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 4*y - 4*y)*(-75 + 75 + 13*y**2)*(y - 2*y - y)*(0 - 3*y + 0).\nAnswer: 156*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 2:24 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3709184, 134, 3 in increasing order.\nAnswer: 3, 134, 3709184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 1\/2, 2\/9 in ascending order.\nAnswer: -63, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2198 + 3237. What are the prime factors of d?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -89\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + -1877.669.\nAnswer: -1941.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/373 - -375\/746. Let x = -0.01 + 0.01. Let a = -0.2 + x. What is the nearest to d in a, 4, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3934847.\nAnswer: -5\/3934847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -7*k + 4 + 5\/2*k**2. Does 18 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k. Solve -4 = -k*h + h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + 11 + -7. List the prime factors of f\/3 - 422\/(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/120 and (-10 - (-8469)\/756)\/(3 - 2)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (182080 + 13 + 7)*-1*(83 + -3). Round g to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (11 + -2 + (12 - 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 66 = 8*z. Suppose 5*k = 4*d + 2046, -5*k - d + z*d = -2050. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/5 - 8*g**2\/5 - 12*g\/5 + 144\/5 = 0 for g.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2544 and -25\/954.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 1. Let s(l) be the third derivative of l**4\/24 + 7*l**3\/6 + 9*l**2. Let q be s(-5). Give z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1362844 and -172.\nAnswer: -234409168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.603 decades in months?\nAnswer: 71712.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.48 + -1.61. Round b to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3.65\nAnswer: -10.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472\/944 - (-90403)\/2.\nAnswer: 2, 97, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n - 25740774 = 6*n - 10692026. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3059*c - 13 = 2*k + 3062*c - 100, -5*c = 4*k - 143 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4076.1 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 20596\/467?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 14. Let b = -154 + 147. Let z be a(b). Suppose 3 + 3 = 3*m. Put 5, m, z in ascending order.\nAnswer: z, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - (-5 + 9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.07, 61 in ascending order.\nAnswer: -0.07, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6 - g**2 + g**2 + g**2. Let j be c(0). What is the third derivative of -4*n**3 - 5*n + 2*n + 3*n - j*n**2 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -44, -90, -154, -236, -336?\n\"Answer: -9*q**2 - q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4995 + 5007. Let k(u) = 2*u**2 - 30*u + 10. Calculate k(r).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/35643, 0.2, 74, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**3 - 3*j. Let t(b) = 1149*b**2 - 2*b - 1149*b**2 + 5*b - 5*b**3. Give -5*t(r) - 4*z(r).\nAnswer: r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1 (base 15) in base 16?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258616 is divided by 1383.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9709 - -1253.408.\nAnswer: -8455.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20822654*z - 78639. Let r(i) = -2383*i - 9. Calculate 3*f(m) - 26213*r(m).\nAnswer: -2383*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0330307ms?\nAnswer: 33.0307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) 10 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0 + 8. Let w = -76 - -108. What is the greatest common divisor of w and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p - 7. Let i(m) = -m. Let y(k) = 5*i(k) + x(k). Let t be y(-7). Solve b + 0*b - 3 = t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l. Suppose 2*j - 9 = 5*j, 3*p - 2*j - 96 = l. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577782, -577786, -577792, -577800, -577810, -577822?\nAnswer: -577836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y**5 - 675*y**4 - 1263*y**3 + 2655*y**2 + 1284*y - 1980 = 0 for y.\nAnswer: -30, -22\/7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - 6*o)*(0*o - 1964 - 309 - o).\nAnswer: 3*o**2 + 6819*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 262. Let j be c(0). Let l = -215 + j. Let d = l - -1628. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51275481 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: Let t(w) = 8007*w - 1. Let q(b) = b**2. Give t(q(g)).\nAnswer: 8007*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 80.43524 milligrams?\nAnswer: 80435.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24471*p - 24456*p = 315 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2534965 is divided by 326?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4245300 to the nearest 10000.\nAnswer: -4250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**4\/8 - 14*v**3\/3 - 3495*v**2. Give m(16).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = 5*q, -2*q - 10 + 5 = l. Let j(h) be the third derivative of 0*h + 1\/30*h**l - 1\/2*h**3 + 1\/12*h**4 + 0 - h**2. Give j(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649054 and 4101069.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -697 (base 16) to base 9.\nAnswer: -2274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kttx when four letters picked without replacement from tkttmqmckxckxmt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 108. Let f(l) = -l**3 + 9*l**2 - 2*l + 13. Let x be f(9). Calculate the common denominator of 11\/2 and (-6)\/o*33\/x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.036, 968, 3\/7?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -41. Suppose -c + 172 = 3*s - k*s, -3*c + 164 = s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/11 + 4\/22. Suppose j = -0*r - 6*r. Let i = 71 - 499\/7. Is i less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, w: 6, d: 1, i: 7, m: 2}. Give prob of sequence wwim.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010 - 1000010110?\nAnswer: -1010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1879*h + 1882*h - 23*w - 232 = 0, -4*h = 5*w - 238 for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*g + 1263*g + 951*g)*(1 - 4 + 1).\nAnswer: -4432*g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 22 + 1716*v**2 - 20 - 24 + 83 to h*v + t*v**2 + k and give t.\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/4860 and 139\/5400.\nAnswer: 48600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-75)*140\/21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 2*c - c**2)*(-3*c**2 + 4*c**2 + 0*c**2) + 188*c**4 + 1577*c - 1577*c in the form g*c**3 + n + w*c**4 + z*c**2 + y*c and give w.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:41 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228297 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - q + 2, -86*q + 81*q = 2*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:52 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2562, -2580, -2598, -2616?\nAnswer: -2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8094 and 0.069.\nAnswer: -0.7404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/(-8))\/((-1)\/(-4)). Let p = m + 35. Calculate the remainder when 13 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3940 = 4*a, 2015 = 2*a + 2*v + 57. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from hpbsssphhhvbhppsppph.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:32 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 388796029 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81 and -61257.\nAnswer: 4961817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7 - 4 + 712*f + 576*f + 860*f. Let l be y(4). Let d = 137469\/16 - l. What is the common denominator of -43\/4 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188 or -2\/335?\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from yylxllxyylyxxl.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/6 + 3*c**2 + 5*c. Calculate the remainder when 2 is divided by x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 1 j when three letters picked without replacement from hhjjhhhvvhhhjhh.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117.744 + 0.256. Let m = h - 119. Let z = -3.06 + 0.06. Which is the nearest to m? (a) 2\/5 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 17*j = -75. Let g(m) = m - 4. Let p be g(4). Suppose y + y = -l - 1, 3*y - 2*l + 5 = p. Put j, y, 1 in increasing order.\nAnswer: j, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 102 = 3*q, -7*b + 319 = 1048*q - 1047*q for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16430 (base 8) in base 3?\nAnswer: 101012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*u - 4. Let s be (-70)\/(-15) + u\/(-3). Suppose 2*l + i = 5*l, 2*l = 5*i. Solve -g - s*g = l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 2. Let q be h(0). Let g be (1\/4)\/((-35)\/(-140)). Is 12 a factor of 1 + q - (-14 + g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000 + -1010100011010001?\nAnswer: -1010100000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 rounded to 2 dps?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 9. Let g = -3 - h. Suppose -u - g = -20. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqzzj. Give prob of picking 2 j and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:50 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 4*i - 2*i)*(3*i**2 - 3*i**2 + 3*i**3) - i**4 + 4*i**4 - 4*i**4 as b*i**4 + d*i + t + p*i**2 + v*i**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1267277992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 35. Is -0.37 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2339 + -3533. Is (6\/18)\/((-2)\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*m + 529189 - 523621 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + l = -1, -l = -2*l - 1. Suppose 3*t - 21*t + 2070 = u. What is the remainder when t is divided by (-2)\/(3\/(87\/(-2)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*4 - sqrt(110))*2*4)\/(((sqrt(40) - sqrt(40)*1) + sqrt(10))*2).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 59, 87, 115, 143, 171?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0 + 2*m + 0*m**5 + 0*m**2 - 7\/30*m**6 + 2\/3*m**4 + 0*m**3. What is the third derivative of i(x) wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 27*g**2 + 3*g - 3. Let r be x(2). Suppose 0 = 4*i - 4*c + 108, i + 5*c = 5*i + r. Let f = i - -34. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 + 2*h**3 + (-4 - 2 + 10)*(-h**3 - h**3 + 0*h**3) - 3*h**3 - h**2 - h**3 + 5*h**3 + 2*h.\nAnswer: -5*h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1558592)\/1764)\/568)\/((-32)\/18)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5802.7 and 0.07.\nAnswer: -406.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 61*y - 100 = 17*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(39)\/sqrt(12) + -1*sqrt(468) + sqrt(468) + -2)**2.\nAnswer: 2*sqrt(13) + 29\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4. Let t(f) = -1. Let k(g) = c(g) + 3*t(g). Let q be 1 + 3 - (-375)\/(-120) - 2\/(-16). Let w(d) = 2*d + 12. Let l(x) = q*w(x) - 12*k(x). What is l(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 7*p**4 + 429543*p**2 - 429526*p**2 + (-3*p**3 - p**2 + p**2)*(-4*p - p + 2*p).\nAnswer: 17*p**4 + 17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-21))\/1*1444\/(-361)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, -68, -1, 43 in descending order.\nAnswer: 43, 5, 4, 2, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/3 + 10163*z\/3 - 1551426 = 0?\nAnswer: -10602, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13.98 or 0.012?\nAnswer: -13.98","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 562 - 538.3. Let m = j + 95.3. Let l = 133.2 - m. Round l to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 32*x**3 + 3*x**2 - 32 - 56 - 3*x**2.\nAnswer: -32*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 6) to base 12\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2660, -64.\nAnswer: -2660, -64, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + 4.91. Let v = 0 + f. Let t be ((-2)\/14)\/(6\/(-7)). What is the closest to -1\/3 in t, 1\/2, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 42*i + 8. Let c be q(0). Calculate the highest common factor of 56 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 (base 10) in base 9?\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 63*n**2. Suppose -4*m + 5*m = 1. Let x be t(m). Suppose 6*q + x = 1821. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3194 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 139.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -70774460 to the nearest 100000.\nAnswer: -70800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(272) - sqrt(272)*2) + 1*sqrt(272) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81*(8762\/39 - -15)?\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*g + 2*m, -5*g + 24*m - 25*m = -26. Solve -17 = 5*o + 5*s + 13, -2*s - 15 = g*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5373.45 + -5373.05. Let l be ((-1)\/(-2))\/((-2)\/44). What is the closest to l in -0.2, 6, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 2aa452?\nAnswer: -2aa456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -4.7 (c) -0.4 (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 - -1.79. Let n = 739\/10 - 74. Suppose -1 = 5*l + 4. Which is the third biggest value? (a) l (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 24. What are the prime factors of (f\/16)\/((-2)\/16)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1\/2)\/u*u)\/u)**(-13))**(-2\/61) assuming u is positive.\nAnswer: u**(-13\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g**2 + 12*g - 11. Let w(o) = 6*o**2 - 6*o + 6. Determine 4*u(x) + 7*w(x).\nAnswer: -2*x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32262)\/(-653562) + (-12)\/1470*5?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 - 160*q + 1200 = 0. Calculate q.\nAnswer: 12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, -44, -5 in descending order.\nAnswer: 204, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (sqrt(539) + 0))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 12:19 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 17. Let q = -1 + o. Let -4*j + 6*j**3 - 3*j**5 + q*j - j - j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-54)\/42 + (-9)\/(-7). Let g be (11 + 87)\/(m + 1). Suppose -14 + g = 5*a. Solve a - 2 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373858422?\nAnswer: 2, 3, 11, 617, 27617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1366, 11246, 38280, 91114, 178394, 308766, 490876?\n\"Answer: 1441*j**3 - 69*j**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + 2 + (4*sqrt(19))**2 + -5.\nAnswer: 9*sqrt(19) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*u = n - 164, 3*u = 0. Calculate the remainder when 117 is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*j**4 - 4190*j**3 - 34480*j**2 - 47010*j - 16695 = 0. Calculate j.\nAnswer: -159, -7, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -935*w + 5242 + 11588. What is the remainder when (-1446)\/(-14) - 2\/7 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o - 24. Let h be 4\/((-2)\/o + 0). What is the units digit of (-1)\/(-2)*h\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7414338 or -7414337?\nAnswer: -7414337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1559889 and -0.4.\nAnswer: 623955.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 106\/5. Which is the closest to 1? (a) -0.3 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -3.8 in ascending order.\nAnswer: -3.8, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -21*f**3 - 34*f**2 - 134*f - 11. Is 24 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3502 is divided by 1732.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - b**2 - 6*b + 5. Let w be i(-3). Let k(o) = -34*o + 181. What is the hundreds digit of k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -113, -153, -191, -233, -285, -353?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/9 - 7\/35*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1406253 and 3281257?\nAnswer: 9843771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1421516 or -1421513?\nAnswer: -1421516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 18. Let v be n(-7). Suppose -653 = -v*r + 169. Let m = r - -108. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12344.76 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/16*-14*(-72)\/(-252).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1670 = 582. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596*-0.5.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241099, -964305, -2169635, -3857083, -6026643, -8678309, -11812075?\nAnswer: -15427935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Solve i + 2 = -0*i + u*p, i = -5*p + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 6*z + 13. Let f be i(8). Suppose -14*n + 88 = 74. What is the second smallest value in f, n, 0.6, 7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**3 - b - 2*b + 5 + 8*b**3 to s*b**3 + o + c*b + x*b**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l - 44. Let r be z(6). Solve r = 5*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 0.2, -4, -6609 in descending order.\nAnswer: 0.2, -0.5, -3, -4, -6609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**3 + p + 11524178*p**2 - 11524178*p**2.\nAnswer: -21*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 17*h - 56. Let g be k(-9). Solve -8*u + 16 = -g*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**3 + 3*o**2 - 5*o + 106. Let z(y) = 7*y**3 + 2*y**2 - 8*y + 105. Let s(d) = -2*j(d) + 3*z(d). What is the derivative of s(h) wrt h?\nAnswer: 15*h**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v - 54 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqu when three letters picked without replacement from {n: 2, q: 1, h: 4, k: 3, m: 6, u: 4}.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 5 + -2 - (113 - 127 - (-4 + 0)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let i(a) be the second derivative of -97*a**3\/3 + 4136*a. Calculate i(p(l)).\nAnswer: -388*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 814 + -8067\/10. Let x = 17 + -31. What is the common denominator of w and -4 + 4 + x\/(-44)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 2*i**2 - 4*i**2 - 2*i**2 - i**2 + 2*i**2 + (-1 + 1 + i)*(-5*i - i + 4*i) - 67*i**2 + 13*i**2 + 5*i**2 as m + v*i**2 + f*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 5*w - 8. Let a(b) = b**3 + 6*b**2 + 3*b - 4. Let o be a(-5). Let d be t(o). List the prime factors of 84\/9 - d\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y + 143. Let d(j) = -2*j + 1. What is 4*d(l) + m(l)?\nAnswer: -l + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -25*o**3 + 3673*o**2 + 284*o + 1474. Determine u(147).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480999 is divided by 480091.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 8*d**2 + 5*d + 8. Let s be t(8). Suppose 0*o + 3*o = s. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/15 + 21*a**2\/10 - 442*a\/5 - 2750. Factor n(o).\nAnswer: (o - 13)*(o + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/9 (b) 2\/13 (c) 6 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 3, b: 1}. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51179279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -38. Let x be 1*(-1)\/2*-2. Does 7 divide (1\/x)\/((-1)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -37 - ((-2 - -2) + -5 + 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3337 and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by (-1)\/((-5)\/120)*(3 + 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-212)\/4 + 3)\/(-1). Let p = -48 + k. Solve -p*j - 15 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19038 + 18892 - 38411 + 3*h**2 as f*h**2 + w + m*h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-14 - -16 - (-2 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 410*o**2 + 21*o - 6 - 9 + 32.\nAnswer: -410*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 37*g + 396. Let o be (-117)\/(-26) - (-85)\/g. What is the third biggest value in 22, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 15*l - 5. Calculate v(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 - 4*r. Let q(o) = -7*o**2. Calculate i(q(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089317 - 0.3.\nAnswer: -0.389317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(2\/5)\/v*v)\/v*v)\/(v\/v**(1\/7)))**(-40)\/((v**(-2\/13)\/v*v*(v**(1\/7)\/v*v)\/v)\/(v\/(v\/((v*v*v**(-3))\/v))*v**(1\/2))) assuming v is positive.\nAnswer: v**(-4041\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9010 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.37013 litres to millilitres.\nAnswer: 6370.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -63423?\nAnswer: -63450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126357 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219.65 - 219.85. Let h be 2\/3*114\/4. Let n = -0.3 - 0.2. Which is the second biggest value? (a) -0.4 (b) n (c) h (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 8}. Give prob of sequence raar.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12995, 97732, 325953, 769400, 1499815, 2588940, 4108517, 6130288?\nAnswer: 8725995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 144544, 144602, 144670, 144754, 144860, 144994, 145162?\n\"Answer: h**3 - h**2 + 54*h + 144490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 3*n - 260. What is the smallest common multiple of 1326 and t(-10)?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4437784ug to grams.\nAnswer: 0.0000004437784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvt when three letters picked without replacement from {v: 5, t: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*c - 11*c - 2 - 2*c**2 + 2*c)*(-4 + 2 + 1 + (2 + 1 - 6)*(0 + 0 + 2)) + 2*c**2 + 2*c**2 - 2*c**2 to w*c**2 + u + k*c and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 18*c**2 - 16*c - 13. Let m = -23 + 40. Let j be s(m). Let w be (-24)\/(32\/(-8)) - 6. Solve -j*x - x = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(((c**(6\/7)\/c)\/c)\/c*c*c)\/c)\/c)**(-7) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102121 + 11?\nAnswer: -2102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 145 = -4*c - 3*p + 53, 26*c - 125*c = -5*p + 115 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220672902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i + 1. Calculate x(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 34*g**2. Let k be (-7)\/14*14*-1. Let a(z) = -2*z - 4*z + k*z. Give h(a(u)).\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14802 and 888.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1296 - 1271. Calculate the greatest common divisor of 2250 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let y = 1 + 2. Let r be 0 - 6*(2 - y). Let m be z(r). Solve 5*c - m + 37 = 0, b - 1 = c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 233 + 443 - 9*q - 236. Calculate the least common multiple of k(-4) and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*o + 53, -27 - 55 = -4*a - 2*o. Does 9 divide 926\/4 - a\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 12*n + 34. Put 2, -13, n in ascending order.\nAnswer: -13, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/4 + 5*x**3\/6 - x**2 + 19*x. Factor h(y).\nAnswer: (y + 2)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*p - 70, 2*c = -1113*p + 1114*p - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from xeswp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012015248 rounded to six dps?\nAnswer: 0.012015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*t = 0, l + 0 = 4*t - 6. Let d(f) be the first derivative of 3 - 2*f + 1\/3*f**3 - 2*f**l. What is d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276080.\nAnswer: 2, 5, 31, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4622\/1761 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 20. What is the remainder when 20 is divided by d(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -537*t**2 + 2*t + 2. Let g(y) = -2*y**2. Calculate v(g(c)).\nAnswer: -2148*c**4 - 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*0\/(-14)*(-2)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -716600 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 809042 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m)\/m**(3\/8)*((m*(m\/(m*m**0))\/m*m*m*m)\/m)**(-2\/81) assuming m is positive.\nAnswer: m**(-923\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(409\/2863)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**2 + 1 - 2 + 2 + 0 to i + z*y + o*y**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)*q)**(-2\/99)\/((q*q**(-3))\/q**(-4\/9))*(q\/(q**(1\/2)*q))**(-8\/15)*q*q**(2\/11)*q*q*q*q**(-2\/15) assuming q is positive.\nAnswer: q**(580\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305 - 10405230?\nAnswer: -10404521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -378 (b) -18 (c) 0.4 (d) -23 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3700.807841 + -2.4.\nAnswer: -3703.207841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/68 (b) 0.1 (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -224086460 rounded to the nearest one hundred thousand?\nAnswer: -224100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 429*v - 14 = 432*v, -3*v = 4*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 5:39 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52138404 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1341 + 1?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 6)*6\/18. Suppose -5*l + 15 = g*u + 2*u, -l = 3*u - 3. Solve u = 4*p - 2*p - 5*q + 13, 2*p - 4*q + 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 40. Let f be g(7). Solve d - 6 + 0 = -4*t, t - f = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525543 (base 10) to base 11\nAnswer: 329937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 10*l**2 - 14*l + 7. Let y be z(11). Let k = 76\/3 + y. Is k at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 7*b**2 - 3*b + 4. Let d be a(6). Suppose -r - 5*m + d = -25, -79 = -2*r + 5*m. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1972436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(168)\/sqrt(7))\/(sqrt(108)*-3 + sqrt(12)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-12))\/(-7)*2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.99 - 76. What is the closest to 1\/2 in t, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137 (base 10) to base 11.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200858278 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8320\/156241 or -1?\nAnswer: -8320\/156241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61643 is divided by 15385.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -480.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/6*(5 + -2). Suppose l = s + 1, -s - s + f = l. Solve 4*i = 5*i + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 10 + 0*y**2 + y**2 + 9. Let h(s) = -9*s**2 + 11*s + 11. Let b(k) = 2*h(k) + 22*u(k). Let n(r) = 2*r**2. Calculate b(n(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 + ((-17523)\/(-420))\/(-9). Let t = d - -15\/4. Let r = -40 - -37. What is the biggest value in -4, -2, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.29 - 0.09. Let f = -166\/1265 + 12\/55. Let o = 32 - 97\/3. Which is the closest to o? (a) f (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u**2 + 28*u**2 - 206*u**3 - 36*u**2 + 200*u**3 - 42*u**2.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndmduvuvuvl. What is prob of picking 1 v and 1 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 1806?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2790)\/(-9))\/5 - 8. Let t = 30 - -6. What is the greatest common divisor of t and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by 2428563\nAnswer: -89\/2428563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -11, -3, 21, 67, 141, 249?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c - 19 - 12 - 12 + 46.\nAnswer: -27*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.28 + -3.7.\nAnswer: -4.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -41*y - 328. Let v be d(-8). Let l be (-2)\/6*v*3\/6. Solve l = g - 8 + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 26 + -31?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10422010041 (base 5) in base 7?\nAnswer: -166613064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 73717.\nAnswer: -159\/73717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 85*h + 15. Let w be o(-7). What is w rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 7, -0.4, 2, -0.63, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.5 (c) 2\/3 (d) -1293\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1049\/9 + 353\/3. Let h = 399 + -399. Which is greater: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985013 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4421781834.\nAnswer: 2, 3, 24251, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x - x**4 + (4*x**2 + x**2 + 0*x**2)*(-2*x - x + x)*(-6*x - 5*x + 2*x).\nAnswer: 89*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 5*j**4 - j + 4*j**3 + 1 + 0*j**4 + j**4 + 1 - 8*j**4 in the form r*j + q*j**4 + u*j**3 + c*j**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -230 - -235. Sort q, -71, -4 in descending order.\nAnswer: q, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 21*a + 13. Let p be z(-15). Suppose k = 3*k - p. Suppose g + 26 = i, -g - k = -5*i + 52. What is the remainder when 97 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1034*i**2 + 29982*i - 165. What is p(-29)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -10*y - 13*y - 111, 0 = 4*y - u + 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*m = -274*m - n + 8, m - 2 = -n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 + 18 = o, -18 = -3*z + 2*o. Let q = z + 6. Suppose -4*y + 86 = 2*h, 2*y - 2*h = 3*h + 61. Calculate the remainder when y is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002211211121 + -1?\nAnswer: -2002211211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**4*d)*d**4*d\/(((d**4\/d)\/d)\/d*d)*d\/((d**(3\/10)\/d)\/d)*d assuming d is positive.\nAnswer: d**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microsecond in nanoseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 + 2*m - 2. Let o(i) = 3*i**3 + 18*i**2 + 7*i - 6. Calculate -7*l(c) + 2*o(c).\nAnswer: -c**3 - 6*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923369, -1846651, -2769845, -3692951, -4615969, -5538899?\nAnswer: -6461741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*r + 8268, 3*v + 938*r - 6222 = 935*r. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssiiiisssisss. Give prob of sequence sss.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**18*b))\/(b**(4\/11)\/b)*b**29\/(b*b**(-23\/5)))**(-23) assuming b is positive.\nAnswer: b**(-19274\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**5 + v**4 + v**2 - v. Let w(j) = 4*j**5 + 2*j**4 - 8*j**3 - 6*j**2 + 6*j. Let g(q) = -w(q) - 6*x(q). Let g(n) = 0. Calculate n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(-4\/7)*q)\/q)\/q)\/(q**(32\/9)\/q)*q**(2\/109)\/q*q**36)**25 assuming q is positive.\nAnswer: q**(5671150\/6867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -5, 0, -2\/7, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511323 + 0?\nAnswer: -511323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -39 (b) -0.1 (c) -3 (d) 3 (e) -0.2 (f) -20336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 210420880 divided by -4?\nAnswer: -52605220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 5036.\nAnswer: 5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5848 * -0.2.\nAnswer: -0.51696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 2048.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 - (-11 + (-32 - (-15 - -17)) + -14)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 2:43 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 50*v = 31*v - 280768. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:11 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.3, -0.5, 4 in decreasing order.\nAnswer: 4, 1\/3, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 183, 616, 1521, 3114, 5611, 9228, 14181?\n\"Answer: 36*y**3 + 20*y**2 + 121*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/220)\/(7\/(-5)*369\/(-574)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let b(g) = 7279136*g**2. What is d(b(o))?\nAnswer: -105971641812992*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u - 4. Let a be 78\/5 + (-12)\/(-30). Suppose -2*o = -4 + a. Let p(m) = -m. Let d(r) = o*p(r) - 2*w(r). Factor d(t).\nAnswer: 2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1353550 + 1522?\nAnswer: -1352024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, 0.5, 4\/3, -192?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*f - 17, -5*g - 2*f + 5 = -11. Suppose 0 = 2*m + 5*z - 72, -6*m - 1 = -4*z - 141. What is the greatest common factor of m and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 11491 + 62*g**3 + 54*g**3 - 109*g**3.\nAnswer: 7*g**3 - 9*g**2 + 11491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(288) + (sqrt(288) - 1*sqrt(288)) + 1 - ((sqrt(288)*-2 + -1)**2 - (sqrt(288) + sqrt(288) + sqrt(288) + -6*(sqrt(288) + 0))))*-5.\nAnswer: 360*sqrt(2) + 5735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + 4 + (6 - -15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 319 = -69. Let d = -18 - x. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*i. Let f be i + -3 + 7 + -3. What is the closest to f in -1\/5, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765\/102*(-4)\/20*(-40)\/6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/10 (b) 27186 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 137?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*b + 23*b - 45*b)*(8 + 5*b - 8).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 332800 - -1?\nAnswer: 332801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 39, 82, 161, 288?\n\"Answer: 2*x**3 + 5*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42933179*x + 13*x**2 + 42933179*x + 1.\nAnswer: 13*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 11720 = -12*y - 4*s, 5845 = 2*y - 5*s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5437 - 1172. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((5*sqrt(66) - sqrt(66) - sqrt(66))\/sqrt(3))\/sqrt(11))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23572 + -26010. Which is bigger: -2440 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 + 9 = 0. Let d = s - 6. What are the prime factors of (d - 2) + (2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74945137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1)*(-5 - -3). Suppose w = k*x - 187, -3*x + w = -0*x - 139. Let a = x + -32. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114 or -90?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -875.5 + 877.5. What is the nearest to -0.1 in 0, -1, v, 15.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 879 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*a = 150*a - z - 11, -6 = 2*a + 5*z for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 0 - -5)\/(-1). Let p = 420 - 428. Let g(q) = -q**2 + 5*q + 7. Let z be g(6). Which is the nearest to z? (a) -3 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 6. Let g = -13 + 10. Determine x(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10741347 to the power of 1\/2, to the nearest integer?\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.3048 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*a - 28, -4*a = 2*n - 7*a + 8. Let b(p) = 2*p + 20. Let r be b(0). Let m be 28\/10 + 4\/r. Solve -m*u = n + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2 + 12 = 4*a, 0 = a - 4*r + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 526?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*m + 4*m - 3*m)*((2 + 0 - 4)*(13 - 13 - 2*m) - 5*m - 4 + 4 + (-3*m + 3*m - m)*(2 - 3 + 8)) to j + h*m**2 + g*m and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*217.1\nAnswer: -651.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 105335.\nAnswer: 31\/105335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25543*g - 413 + 1505 = -25627*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -4 + 4 - 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 15) in base 9?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-273))\/(((-1)\/(-2))\/(35\/60)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 404 = 74. Suppose 3*o - 3*v = -v + 80, -2*o = 5*v - u. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96786.088 - 34920.71. Let o = -131478 - b. Let n = -229 + o. Round n to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 3, x: 1, g: 2}. Give prob of picking 1 x and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -950.3 - -950.7. Which is the fourth biggest value? (a) 2879 (b) 1 (c) m (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -39 + 0 + 26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*q**4\/5 - 62736*q**3\/5 - 11278*q**2\/5 + 177936*q\/5 - 105512\/5 = 0. What is q?\nAnswer: -2, 11\/12, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/428 and 73\/4071.\nAnswer: 1742388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806 divided by -1.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -20 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/632 and 26\/236209447?\nAnswer: 1889675576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -16*c + 1503. Let z = -166 + c. Solve 4*u - 5 = -z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460394895?\nAnswer: 5, 6269, 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049297431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) 2\/3 (c) -1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 2268.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 179*b. Let a(w) = 36*w. Let i be (-5)\/(4 + (-156)\/44). Give i*a(k) + 2*p(k).\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 36. Let v(q) = -q**2 - 4*q + 8. Let n be v(-4). Let k be (n\/(-5))\/(10\/(-450)). Calculate the greatest common divisor of a and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*y - 24*y + 1026. Let w be ((-6)\/(-5))\/(1\/5). Calculate the greatest common divisor of w and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -21. Let b = 210 + -209.5. What is the second smallest value in f, b, -1\/5, -2.9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43782825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(-3*(-7)\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 197 - 197)*(-m + m + 2*m)*(m**3 + 2*m**3 - 4*m**3).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skwsssswpmswwkm. What is prob of sequence smm?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 252475542 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**3 - 19*q**2 + q + 2. Let c(f) = -4*f**3 + 22*f**2 - f - 3. Let g(h) = 4*c(h) + 5*s(h). Calculate g(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17\/35 + 2\/7. Let h = -40 - -40. Let a = 95 - 1617\/17. What is the closest to h in o, a, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 1 - 1)*(0 + 4 - 6 - 8*w**3).\nAnswer: 16*w**4 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-9) - (-3)\/(-9). Let p be (2\/d)\/(1\/9). Which is the closest to -2\/5? (a) 0.4 (b) -2\/15 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 + 4*g. Let j be y(4). Let x be j - ((-5 - -3) + 5). Let h = x - -11. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 14. Let o = m - -4. What is the remainder when 40 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from slssg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.1, -2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 152\/(-25) - 76\/(-950). Let m(t) = -t**2 - 5*t + 4. What is m(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503530 is divided by 71932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -c - 5*o, -37*c = -36*c - 4*o - 11. Let i(a) = 4*a**3 - 37*a**2 + 2*a + 5. Let j(b) = -2*b**3 + 19*b**2 - b - 3. Give c*i(r) + 5*j(r).\nAnswer: 2*r**3 - 16*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 61 = -1. Let y = n + -36. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9626621 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.12, -3386 in decreasing order.\nAnswer: -0.12, -25, -3386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 2*t + 0*t)*(1 + 2 - 4)*(-78 + 188 - 92)*(-9 - 16 + 0) to f*t + u and give f.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22270 (base 9) to base 2.\nAnswer: -11100111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -351*b + 91*b - 353*b + 9*b to f + w*b and give w.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at most -7727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 7. Which is the second smallest value? (a) -4\/5 (b) n (c) -0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -48*a + 43. Calculate n(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2052761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1270 + 1335. Calculate the remainder when 3118 is divided by k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 358072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 4177654.\nAnswer: -4177623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 289 - 284. What is the nearest to -1 in i, 235\/6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:21 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -19*d - 12. Calculate the remainder when m(-5) is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 8641 (c) -11 (d) -53 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 2*y + 1. Let o be 1\/3 + (-20)\/6. Calculate t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 31548.\nAnswer: 31543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, 3\/4, -2\/9 in descending order.\nAnswer: 3\/4, 1\/19, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 69*(-9)\/((-81)\/6). Let p = g + -47. Let i(s) = -s + 1. What is i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/91712 and -89\/34976.\nAnswer: 100241216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 14. Suppose -4*m - 4*u + q = -m, -4*u = 2*m - 12. Let w = 4\/79 + 130\/553. Sort m, w, 4 in increasing order.\nAnswer: w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.336 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67648 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4234522*s**3*z**3 + 28*s**3*z**2 + 63*s**3*z + 2*s*z**2 - s + 2*z**2 wrt z?\nAnswer: -25407132*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 - 5 + 5)*(3 - 3 + 2*o**2) + 15*o**4 - 16*o**4 + 14*o**4 + 2*o**4 - 2*o**2 + 2*o**2 to the form b*o + l*o**2 + t*o**4 + u*o**3 + d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 a when three letters picked without replacement from dddaaddddadsda.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 7*b)*(-3*b + 6*b - 4*b)*(-1550*b**3 - 249 + 249).\nAnswer: -10850*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t, -27 + 94 = v - t. Let x be 3\/(6\/56)*(-1030)\/824. Let b = x + v. What is the remainder when 129 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(192) + 3 + (5 + sqrt(9)\/sqrt(3))*3.\nAnswer: -5*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/13, 4, -38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154357 and 420?\nAnswer: 9261420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 55 + 15 = 0. Suppose 2*s = -3*k + 33, -5*k - p*s + 80 = 25. Calculate the remainder when 21 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1711*(-558)\/(-21576)*(-16)\/6.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/144823889 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.851684 + 2.\nAnswer: 51.851684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 284 + -282. Solve 5*h + 13 = -g*j - 2, h = -1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3082 - -4622. Calculate the greatest common factor of 35 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = -q + 3, 4*f + 12 = 2*q. Suppose -q*s - 3*w = -2*s + 24, -3*w + 81 = -5*s. Let g = 22 + s. Solve 5*m = -2*r + 12, -m + g = 2*m + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-4) + 6236\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295943109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1804934 and 2072?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1486*c - 1299 + 11086 + 11017 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/24 + -1)*(5040\/(-135) - -36)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4445201 is divided by 406?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 w when three letters picked without replacement from rwjdwwwwwrjwjrwwwwj?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4422 + -31310040?\nAnswer: -31320012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3 + 5. Suppose -3*l + w = -13, -3*w - 18 = -b*l - w. Suppose q + 21 = l*q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334446551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s = -28*s + 328 + 88 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -201193*p. Let h(l) = -5*l**2. Calculate z(h(j)).\nAnswer: 1005965*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*f - 99*f = 9. What are the prime factors of (9 - (-1 - 36))\/(-1 - f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*k**3 - 18*k**2 + 33*k**3 + 17*k**2 - 64*k - 3 wrt k.\nAnswer: 738*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929152?\nAnswer: 2, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1368608 + 5?\nAnswer: 1368614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -606 (base 10) to base 13.\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 68*z - 64*z = 1680621, 5*i = -3*z + 1680617. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13343 - 13103 = 30*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -710 - -706. Let k be 32\/d + 12 - 3. Put 8, -12, k in increasing order.\nAnswer: -12, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 510\/(-68)*1\/10. Which is the closest to -0.2? (a) -3 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgllqggqg. Give prob of picking 1 s, 2 g, and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2333 is divided by 1817?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 23*d + 97. Let t be w(5). Let r(v) = -v**2 + 9*v - 10. Let o(k) = -2*k**2 + 18*k - 20. Let x(h) = 3*o(h) - 7*r(h). Give x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 7\/25 (c) 4 (d) 1\/6 (e) 0.15 (f) 0.3 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.2. Suppose -5*v + 4 = -6. What is the biggest value in v, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + (-35483)\/(-42) + 0 + -4 + -6. Which is smaller: r or 842?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -226*i + 7. Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 14 - 6. Let w = r - -2. Suppose -25 = d - 6*d + 4*j, 2*d = -w*j + 38. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u + 10 = 24*u, 5*g - 5*u - 30 = 0. Suppose -g*h = -p - 138, 0 = 2*h - 8*p + 7*p - 68. What is the highest common factor of 63 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 2, s: 5, y: 5}. Give prob of picking 4 s.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**2 + 31*g**2 - 151*g**3 + 297*g**3 - 59*g**2 - 148*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17531? (a) -0.3 (b) 0.21 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 9. Let d be u(-4). Suppose -d*v + 15*v = 48. Solve -m - 20 = -v*a - 1, 3*m + 13 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -t + 3*y + 46, -3*y = 4*t - 196. Find the second derivative of b**2 - t*b + 46*b + 12*b**2 wrt b.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -186\/275 (b) -0.6 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*o + 4, 4*q + 0 - 2 = 5*o. Suppose h - 34 = -4*h + q*m, -3*h + 2*m = -20. What is the remainder when 15 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 440098380*f**3 + 5063*f + 60402 wrt f.\nAnswer: 2640590280*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/((-1)\/(-2)*4). Suppose q - f - 4*f = -7, 22 = 2*q - f. Let a = y + q. What is the remainder when 69 is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.88591 to 2 dps.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5320*y + 10602*y + 4722*y.\nAnswer: 20644*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2734042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 4.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/4 - 87279*o**2\/4 + 1904798655*o\/4 - 17136119025\/4 = 0. What is o?\nAnswer: 9, 43635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 710*m\/9 - 1936\/3.\nAnswer: 2*(m - 8)*(m + 363)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let l(o) = o - 1. Let a(w) = -6*w + 5. Let c(n) = n**3 - 8*n**2 + 3. Let y be c(8). Let i(v) = y*a(v) + 15*l(v). What is i(k(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - (0 + 4) - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 4\/22 - 500\/(-275)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1001 - -953.1. Let i = v - -48.1. Which is smaller: -0.119 or i?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 49 = -c, 0 = -4*c + x + 11*x - 16*x - 108 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1824 or -1?\nAnswer: 1824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28068 or -5361126\/191?\nAnswer: -28068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 8*t - 12. Calculate x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 423 or 1045?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1323 = -r + 3156, -2*r = 5*p - 3731. Calculate the highest common divisor of 218 and r.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 44 + (-5 - -35) + -38?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 - 3*o. Let d be w(2). Suppose 15*q + 9 = d*q. Find the first derivative of 1 - 2*s**2 + q*s**2 + 1 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1236597440 and 3568?\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 68410.\nAnswer: 478870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23632\/13 + -1818. Put -22, 0, 13\/6, c in ascending order.\nAnswer: -22, c, 0, 13\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 528, 4347, 10690, 19557, 30948, 44863, 61302?\n\"Answer: 1262*x**2 + 33*x - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + (-115)\/(-35). Suppose 0*u + 2*u - 4*b + 6 = 0, 2*u + 4 = 3*b. Solve v - m = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(-8) - -1)\/((-8922)\/(-23792))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213110 - 0?\nAnswer: 213110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**3 - 25*r + 29*r**3 - 21*r**3 - 24*r**3 + 25*r.\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 338079 (base 10) in base 4?\nAnswer: 1102202133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -10) + (-14 - 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750 and 5477418.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.28473, -4, -188?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 365, 2\/7, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 180*i - 154*i - 1456. Sort 2, i, 5 in ascending order.\nAnswer: 2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = d, 0 = 4*p + 10 - 14. Let h be 2000\/(d*((-18)\/13300)\/9). Round h to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccp when four letters picked without replacement from {c: 3, o: 2, p: 1, k: 2, m: 1, l: 8}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n = -4. Let c be 26\/(-6) + n\/3. Find the common denominator of (c\/(-60))\/(4\/(-354)) and 51\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(4*v - 1 + 1).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223662120?\nAnswer: 2, 3, 5, 11, 23, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16850 + 16851 = 3*s + p, -2*p = 3*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 340, 360, 380?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/17 + 3340*p**2\/17 + 53056*p\/17 + 211712\/17 = 0. Calculate p.\nAnswer: -1654, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2686.2354464061 take away 53?\nAnswer: -2739.2354464061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**14\/(t**(-1\/3)\/t*t)**15)\/((t\/((t\/t**(-2\/9))\/t))\/((t\/((t\/t**(-4\/7))\/t)*t)\/t)*((t**6\/t)\/t)\/(t**(-2\/5)*t)) assuming t is positive.\nAnswer: t**(2599\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*b - 4*b. Suppose 0 = 4*i + 3*g - 88, i + b*i - 79 = g. Let f = -15 + i. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/(-21)*294\/(-32) and -27\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -168, -380, -676, -1056, -1520?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 83808167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 10*u + 3402 = -3*l, -2*u = 2*l - 2252. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 12159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/19925 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**3 - 25*s**2 - 12*s - 52. Is d(-29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 89 = 2*p + o, -2*o + 92 = -5*p. Let i = -8 - p. Let g(r) = r + 11. What is the smallest common multiple of g(-6) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1524295 and 17845?\nAnswer: 65544685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/7 - 1068*h\/7 = 0.\nAnswer: 0, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 94. Let c = -0.23 + -0.07. Let u be 10\/7 - (0 - -1). What is the closest to 1\/4 in a, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263340 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/11 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 69 = 1579. Let w = g + -103. Solve -10 + w = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3311*c**2 + 33*c + 33. Let r be a(-1). Calculate the highest common divisor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476854*o**2 + 5*o + 21268.\nAnswer: -953708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.8976 to 0 dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let p = j + -4. Let u = 1.6 + 0.4. What is the second biggest value in u, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.1 (c) 9 (d) 0.5 (e) 0.06 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 24 = -99. What is the closest to -1\/18 in 1\/5, r, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*b*g**3 + 2*b*g**2 + 94*b + 13*g**3 - 5 wrt g?\nAnswer: 33*b*g**2 + 4*b*g + 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7105, -28298, -63595, -112972, -176405, -253870, -345343, -450800?\n\"Answer: 4*i**3 - 7076*i**2 + 7*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-6) + (-1975)\/(-2370)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -3, -2\/13, -1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 17. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlllmmmmllmmm. What is prob of picking 2 l?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10156b4 + -16?\nAnswer: 101569a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.5 (c) 0 (d) -3\/4 (e) 115884\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 8*i + 21. Let r be c(-10). Solve 0 = -z - 0*z - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-20)*((-13)\/2)\/(-13).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhs. What is prob of sequence hh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1809609 is divided by 813.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59064 = -96*m - 54*m + 81*m. Calculate the remainder when m is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2252 = 39*a - 2107 + 264. Calculate the greatest common factor of a and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3505 - 2320 = -3*g, 3*g + 3*p = 5835. Suppose 0 = 4*n - 398 - g. Is n 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 3:39 PM and 12:55 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 x when four letters picked without replacement from {x: 1, n: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 666.95 - 41.225\nAnswer: 625.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286122 is divided by 2236?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*b - 5*i, -4*b + 3*i = 2*i - 37. Suppose 3*a - 7 = b. Suppose 15 = a*d - 20. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*f - 3 = 35, -3*n = 3*f - 36. Solve 26*r - n*r = 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**4\/4 + 7*a**3\/3 - 5*a**2 + 2*a - 353. Suppose 2*p - 3 = 7. What is the units digit of v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.067 - -0.067. Let k = 22 + x. Let c = 26 + k. What is the nearest to 5 in -2, -1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13397 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 o(p) = -p**3 + 3*p**2 + p + 3. Let g be o(3). Let d(f) = -25 + 2*f - 31 + 48. Calculate the remainder when 7 is divided by d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c - c**4 + 0 - 1\/9*c**5 + 16\/9*c**3 - 30*c**2. Factor x(v).\nAnswer: -4*(v + 4)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156 + -194. Is h < -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7269 = 4*u, -2*i + 8 + 2 = 0. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*w - 12, -16 = 3*t + w + 3*w. Suppose 3*m + z = 372, 4*m + t*z - 504 = -4*z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 1 + 31. Let b be 1\/(-4)*w\/34. What is the nearest to -1 in 0.4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(2750\/(-231) - -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3382722, 3382678, 3382634?\nAnswer: 3382590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838483939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 3*l + 25. Give r(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972\/(-130) + (-1746)\/(-3783) + 21?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -436 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i**2 - 21*i + 1. Let o be d(9). What is the greatest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-6 + (-1 - (1 - 16))) - 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.19\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 2*i - 3. Let n be u(4). Suppose -4*d = c + 14 - n, 5*d + 14 = -c. Let t = 13 - c. Solve -t*s = -3*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2093310929.40000602 + 2093310649.4. Let x = -0.362 - -280.362. Let b = f + x. What is b rounded to 7 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9c7 - -5?\nAnswer: 9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1)\/(695970\/(-3135)*2\/(-6))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111041043 (base 7) in base 16?\nAnswer: 667a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*v - 9, -3*n + 3 = -2*v + 9. Suppose -2*m = -b + 14, 2*m = 3*b + v*m - 56. Calculate the least common multiple of 22 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11111223 + 220?\nAnswer: 11111443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:34 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.041 + 1856.041. Is d at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1388436 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1681644099 + 5\nAnswer: 4.8318355901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37567306.\nAnswer: 2, 7, 59, 45481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/1 + 32\/(-2). What are the prime factors of 2 - (6 - 3) - 407\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2993.5 to the nearest 10.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 - 3*x**3 + 4*x**3)*(12*x + 12*x - 20*x)*(3 - 22 - 4).\nAnswer: 276*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 6644, 13 in descending order.\nAnswer: 6644, 13, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22)\/q)\/(q*q*q*q**(-8\/7)*q)*q**21\/(q*q\/(q*q**(-3\/7))) assuming q is positive.\nAnswer: q**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*i - 350 = i, 4*m - 3*i = 249. Let c = -16 + 18. Calculate the lowest common multiple of c and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(q**2 + 4*q**2 - 4*q**2) + q**2 - 3*q**2 + 0*q**2)*(-6*q + q - 9*q).\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*(g**(16\/5)*g)\/g)\/g*g*g))\/g)**(7\/3)*g**20\/g**(-2\/13) assuming g is positive.\nAnswer: g**(1564\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 18375.\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1 (c) -0.1 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -153 + 156. Suppose 11*n - 32 = p*n. Suppose -2*c = -v + c + 11, 8 = -n*c. Solve -4*z + 12 = -3*f + 3, 0 = v*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-3.931\nAnswer: 1.1793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577549448 to the power of 1\/2, to the nearest integer?\nAnswer: 39718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137666146.\nAnswer: 2, 68833073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2178 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) 1 (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1a0 (base 15) to base 10\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*b = 2*b - 10, -v + b = -1. Let g = 4 + v. Let x = 4 + 0. Solve x*j - 3*t + g = 0, -8 = -4*t - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1188750*p**3*q - 3*p*q - 7*q + 221259 with respect to p.\nAnswer: 3566250*p**2*q - 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 10) in base 16?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/30 - 8*p**2. Let i be 5 - (-3)\/((-3)\/2). Let x(a) = -i*a + 3*a - a**2. What is x(l(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u + 5*q - 26, -6 = -2*q. Suppose -y + 1 = -u. Suppose 5*a - 15 = y. Solve -a*c = -19 + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 116 = y, 4*y = 3*h + 2*h - 134. What is the lowest common multiple of h and 14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + -2*(sqrt(24)\/sqrt(12) + 0)**2*-3 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4, u - 3*h = -0*h - 10. Let s = -145 + 142. Let k be s - 11\/6 - -5. Which is the nearest to u? (a) k (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -4e05ad?\nAnswer: 4e05c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1596967299\/2 > -798483649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*1 - sqrt(550) - sqrt(550))\/(sqrt(539) - sqrt(539)*-2 - sqrt(539)).\nAnswer: -5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/(-12))\/((-1)\/212) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -130.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 0) + 304*2. Suppose 5*y - x = 8*y. Let r = -111 - y. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146671, -146674, -146677, -146680, -146683?\nAnswer: -146686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 29*h**7\/30 - 83*h**5\/60 - 229*h**2. What is the third derivative of s(v) wrt v?\nAnswer: 4872*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9102 = 997*h + 17817 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 4 + -8 + 0. Factor -124*j + 272*j + 2*j**p - 116*j - j**2 + 256.\nAnswer: (j + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171667663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-26)*169\/(-13).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4\/3, -0.3, -25\/12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.836221um in nanometers?\nAnswer: 836.221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -54100?\nAnswer: 54111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 2 p when four letters picked without replacement from {p: 2, e: 7, b: 7, t: 1, r: 2}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8881 + 8886. Let l = 9 - 8. Which is the nearest to l? (a) -1\/2 (b) -8 (c) n (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -42. Suppose 0 = 2*y - 2*o - o + 3, 0 = y - 5*o + t. Let s = 11 - y. What is the smallest common multiple of s and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5281*o**3 + 2144*o**3 + 2203*o**3 - 366*o**2 wrt o?\nAnswer: -5604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) 2\/5 (c) 2 (d) -2\/85 (e) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-9 + 4)) + -5 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1268 to 3 decimal places.\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5020.3 - 5020. Which is the biggest value? (a) 345 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - -15. Factor -7*q**2 + 24*q**3 + 89*q**5 - f*q**4 + 3*q**2 + 2*q**2 + 39*q**5.\nAnswer: 2*q**2*(4*q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351589.\nAnswer: 7, 50227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -181.56481 greater than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 2*o, 4*o - 8*o + a + 5 = 0. Let i be (-1)\/8*o + 2\/8. Suppose -19 = 4*s - 7*s - 5*p, -5 = -5*s + 5*p. Solve i = s*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -70\/2721, 10, -4\/9?\nAnswer: -70\/2721","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8838254 nanograms in micrograms?\nAnswer: 0.0008838254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 0*z + 9 = 27*m - 3*z + z - 76, 0 = m - 9*z + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 294*r + 291*r - 62*r.\nAnswer: 530*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*p*v**3 + p*v + 296654*p + v**5 + 1135336*v**2 - v + 13 wrt v.\nAnswer: 126*p*v + 20*v**3 + 2270672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/(u**(-5\/2)*u)))*u))\/u**0*(u**(-2\/25)\/u)\/u*u\/((u**(2\/15)\/u*u*u)\/u))**(38\/3) assuming u is positive.\nAnswer: u**(-10583\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -114*((-20)\/6 + 2). Let r = 249 - b. Let q = -32 + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 17*c**2 + 29*c + 16. Let x be r(15). Calculate the remainder when 2*(-3)\/(-18)*(200 + x) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= 4669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*o - h + 252, 252 = 4*o - h. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7322 or -10589?\nAnswer: -10589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 9*n - 2. Let w = -445 - -437. Determine q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - -2.7. Let a = 0.07995 + -7.07995. What is the second biggest value in 1, -1\/9, a, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 14*m**4 + 1 + 5*m**3 + 0 - 3*m**3 + 4*m**2 - m + 0*m**3 in the form u*m**4 + n*m + y + d*m**2 + c*m**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4828 or -4826?\nAnswer: -4826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -788. Suppose -4*z + 3358 - i = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 30*k**3 + 6*k**2 + 6*k - 26. Let o(p) = -29*p**3 - 5*p**2 - 5*p + 26. Let u(v) = 6*o(v) + 5*s(v). What is the first derivative of u(r) wrt r?\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (-69)\/(-24))\/1. Let x(u) = -u**3 - 3*u**2 - 2*u + 1. Let y be x(-2). Which is the biggest value? (a) f (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16961 - 10608. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (8 - 7 - (1 - (-3 - 0)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3522034570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/840 - w**6\/360 + 2*w**3\/3 + 3*w**2. Let s(n) be the first derivative of i(n). Find the third derivative of s(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1583 divided by -1583.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7147*r - 3592*r - 227*r**2 - 3554*r - 21 to b*r**2 + o*r + h and give b.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 2*v + 13. Let z(w) = -3*w**2 + 3*w + 25. Let j(u) = -5*g(u) + 3*z(u). Determine j(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and 0.073?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let f(q) = 4*q + 3. Let s(y) = -4*y**3 + 6*y**2 + y - 1. Let g be s(2). Calculate g*k(c) - 2*f(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55236879 is divided by 434936.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -115\/723?\nAnswer: -115\/723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 + 37 = 2*r. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97800*s**4 + 2177046 with respect to s.\nAnswer: -391200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:44 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -1b?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 838629217 a multiple of 1962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/3))\/j)\/j**(3\/2))\/(j**(2\/5))**11 assuming j is positive.\nAnswer: j**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2\/7, 21, 0.1, -103\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9015 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/2)\/t*t\/((t\/t**(-3\/2))\/t*t))**(2\/9))**(-20) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1 - -20)\/(1425\/950). Solve 43*m = h + 41*m - 8, 4*m - v = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.7. Let k = -1 + 0.5. Sort k, -0.2, y in ascending order.\nAnswer: k, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 + 3*f**3 - 5*f**2 + (-1 + 2 - 3)*(10*f**3 - 3*f**3 + 6*f**3).\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 30. Let x be r(25). Let v(t) = x - 20*t + 5*t + 16*t. Calculate v(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61118243 to the nearest integer?\nAnswer: 7818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 + 3*h**2 - 3*h - 4. Let b be (9\/(-27))\/((-3)\/63). Let q(j) = 19 - 7*j**2 + 5 - 15 + b*j - 9*j**3. What is 7*o(w) + 3*q(w)?\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*l - 252452 = -252458, 3*c + 18 = -4*l for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 13 = 2*a, 5*m + 19 = 4*a + 4*m. Let u(b) = b**2 + 6*b - 19. Calculate the remainder when 102 is divided by u(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -1\/42*c**4 + 1\/105*c**6 + 1\/70*c**5 + 0 + c + 0*c**3 - 1\/147*c**7 + 0*c**2. Solve b(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385\/3222 - -3\/358. Sort 1\/16, k, -5, -1 in decreasing order.\nAnswer: 1\/16, k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/60 - u**5\/30 - 5*u**4\/24 + 1835*u**3\/6 + 28*u**2 + u. Is q(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3 - 5. Suppose 20 = -w*u - 88. Let n be (90\/u)\/(2\/(-12)). Solve f - 5 = 5*p, -4*f + 9*p - 4*p = -n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q**2 + 5*q - 2. Let m be a(3). Suppose m*j + 0*j = 5*u - 21, u + 5*j = -19. Let l be (9\/21)\/(9\/2). Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - 31*x**3\/3 - 110*x**2 + 252*x - 4944. Let h(b) = 0. Calculate b.\nAnswer: -18, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3*x**3 - 2*k**3*x - 45*k**2*x**4 - k**2 + 35*k*x wrt x.\nAnswer: 18*k**3*x - 540*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**3\/6 + 6*g. Let j(k) = -5*k + 1 + 2 - 1 - 8. Calculate j(u) - 6*r(u).\nAnswer: u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**3 - 3*r**3 + 26 + 61*r - 9*r**3 - 2*r**3 + 26*r**3 - 33*r**2. Give a(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13932 divided by -4644.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -11937976?\nAnswer: 3581392.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 137*h - 89. Let v(k) = -3290*k + 2135. Suppose -j + 4*b = 37, 3*j - 4*b + 134 = -1. Let g(u) = j*y(u) - 2*v(u). Differentiate g(x) with respect to x.\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76524 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -17?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, 816, 3378, 8368, 16596, 28872, 46006?\nAnswer: 68808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 141 + 247 - 134 - m + 168.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 21 = -5*o + 2*y, -2*o - 14 = -4*y. Let t be 10\/(-24) + (-2)\/8. Which is the biggest value? (a) t (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h**3 - 4*h**2 + 6*h - 3. Let u be d(7). Let p be 8\/6*157002\/(-72). Let y = u - p. What is the common denominator of y and 19\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -4*s + 342. Suppose -3*d = 15 - s. Suppose r + 104 = 6*r + x, -2*r - 5*x + 60 = 0. Calculate the remainder when d is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150998260 and 14?\nAnswer: 150998260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -4 (c) -1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(-4)\/(-8) - 1. Suppose j = -f - l, 2*f + l = 3*l + 12. Which is smaller: 11\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 216?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14136804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 20 = 15*i - 11*i, 4*i = -2*w - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + -4. Let c = p - -0.6036. Round c to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/79)*r))\/r*r)\/r*r*r*r**(-1\/17) assuming r is positive.\nAnswer: r**(1230\/1343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 340 times 12274\nAnswer: 4173160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.41 + -27.47. Which is the second smallest value? (a) -11 (b) k (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(-156) - 56\/364?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7 = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655522175 + 0.3?\nAnswer: 655522175.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7\/x**(1\/20))\/(x\/((x**(-3\/5)\/x)\/x)*x*x*x**10))**(-25) assuming x is positive.\nAnswer: x**(865\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 116, 289, 528, 833, 1204, 1641, 2144?\n\"Answer: 33*x**2 + 74*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + -12. What is the units digit of (-1 + 13)*t\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179126394 a multiple of 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6953 divided by -5?\nAnswer: 6953\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*c - 4*c. Suppose 2*h = -3*h + c. Suppose -15 = -h*d - 0*d. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 0*u = 3*u + 3, -11 = 3*z + 4*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436 and 42548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (63\/12)\/((-2)\/8). Calculate the smallest common multiple of 7 and 18\/u*(-42)\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/94234 and 65\/6.\nAnswer: 282702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2439327 + 3*c**2 - 4878880 + 2439553.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*q**4 + 3*d**2*q**3 + d**2*q**2 + d**2 - 10*d*q**2 - 8*q**4 wrt q?\nAnswer: -48*d**2*q + 18*d**2 - 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24 - (-2840)\/120)\/((-1)\/2). Solve -10\/9*i - 8\/9 + 10\/9*i**3 + 2\/9*i**4 + y*i**2 = 0 for i.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 4\/((-12)\/(-93)). Suppose 0 = -4*p - c + 21, 0*p + 3*p = 5*c + z. Suppose 11*b + 6420 = 4*h + p*b, -b = -4*h + 6404. Round h to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1064, -47, 3, -14, 6.\nAnswer: -1064, -47, -14, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3581, -21606, -51639, -93674, -147705, -213726, -291731, -381714?\n\"Answer: r**3 - 6010*r**2 - 2*r + 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/7, 2\/15, 3946 in decreasing order.\nAnswer: 3946, 3, 1\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*t - 37 + 15 = 0, -10 = b + 2*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (244\/6 - 5)\/((-1)\/(-3)). Which is smaller: g or 533\/5?\nAnswer: 533\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t - 5. Is -13 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 2403.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - (sqrt(891)*-2*4)**2.\nAnswer: -57024 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4 - 842*w**3 + 1695*w**2 + 5912*w + 3376 = 0.\nAnswer: -844, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45224 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -22 + (-1 - (2 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**4 + 9*f**2 - 307*f + 2.\nAnswer: -36*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 83 - 892. List the prime factors of z.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -k + 4, q = k + k + 1. Let v(c) = -1. Let y(b) = 74*b - 37. Let m(d) = q*y(d) - 6*v(d). Differentiate m(h) with respect to h.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3928708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = -4*b, -3*u - 27 = -0*b + 5*b. Let o be (-5)\/b + -2 + 2\/2. What is the biggest value in -1\/5, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -73*k**3 - 2*k**2 + 1. Let n be b(-1). Suppose 124 = 4*c + 4*o, c + c - 3*o = n. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16212 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -110, -173, -238, -305?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36384 - -15778. Let o = 13816 + v. Round o to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 - b**2 + 4*b - 4. Let j(l) = 1 - l + 0*l + l**2 + l**3 + 0*l**3. Let k = 136 + -135. Let x(z) = k*w(z) + 4*j(z). Factor x(u).\nAnswer: -3*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37123009 + 37123009 - 4*w - 7*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 329829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4644 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 124 - 127 + 251.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + y**2 - 10 - 3*y**2.\nAnswer: -y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/84 and 85\/864.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**2 + 6*n - 8*n**2 - 3*n**2 to g + i*n**2 + s*n and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + 59*d**2 + 2229*d - 65981. Calculate s(30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3696 and 18480.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**3 + 8189967*y**2 + 5589625860105*y - 5589634050075 = 0.\nAnswer: -1364995, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1450 and -61\/9058.\nAnswer: 6567050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 22*l**2 + 2*l + 48. Let s = -61 - -39. What is the lowest common multiple of 32 and u(s)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/100 + ((-99)\/(-15) - 1). Solve -10*a - 4 = -j*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -2*w**2 - 62 + 0*w**3 + 1\/6*w**4 + 2*w. What is t(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 3*s**2 + 2*s**2)*(4*s - 4*s - s) + (-5*s**2 - s**2 + 5*s**2)*(-3*s - 4*s + 3*s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*o + 181*o - 16632 = 0. Calculate the greatest common factor of o and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 <= -4954749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 123, -0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14121473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from xxqxxxxdddxxdxxxxxxd.\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 18*a + 16. Suppose 5*p + 18 = 2*s, -15 = -s + 7*p - 3*p. Let k = a + s. Solve 12 = -4*v + 3*f, 0 = -5*v - 2*f + k*f - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5229*a - 544. Is p(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least as big as -0.139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/280*7)\/(2*-1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1 + 0 - (-20)\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277272 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {a: 1, y: 7, k: 3, x: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 67.0000053. Round k to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*o - 906 = -211*o - 38 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 8. Let y = q + -5.7. Which is the third smallest value? (a) -5 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 - 3*l - 4. Let a be i(-5). Let n = -35 - a. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 7*v - 9*v)*(-2*v**2 + v**2 + 2*v**2) + (-4*v + 2*v + v)*(-v + 3*v - 6*v)*(2*v - 3*v + 4*v).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2787 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1700, 4575, 7464, 10367, 13284, 16215?\nAnswer: 19160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(0 + 4 + 1)*(2*n + 0*n + 0*n - 3*n + n + n + (1 + 2*n - 1)*(-4 + 3 + 3) + 3*n + 3*n - 4*n).\nAnswer: 70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c**2. Let y(m) = 0 + 0 + m - 3*m. Give y(a(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + 1 + -4*sqrt(448) + 5 + -2)**2.\nAnswer: -64*sqrt(7) + 7170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - p**4 - 3*p**3 + (0*p - p - p)*(-p**3 + 2*p**3 + 0*p**3) + 5*p + 4*p**4 - 5*p + (-2*p**4 + 84*p**3 - 244 + 244)*(1 + 2 - 1).\nAnswer: -3*p**4 + 168*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -103 (b) -6848 (c) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5 + 2*sqrt(117))*-6)**2.\nAnswer: 432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2350628378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/112 and 40\/167?\nAnswer: 18704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 8*p - k - 107, -3*k = 5*p - 91. What is the remainder when 4714 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 + 516*r**2 - 2583*r\/5 - 5162\/5.\nAnswer: (r - 2)*(r + 1)*(r + 2581)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -780772, -5, -4, 2 in ascending order.\nAnswer: -780772, -5, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38524348.\nAnswer: 2, 557, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 12*a**2 + 8*a + 8. Suppose -10*n = 1 + 19. Let f(r) = r**3 + 11*r**2 + 8*r + 9. Let q(x) = n*b(x) + 3*f(x). Determine q(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459061520.\nAnswer: 2, 5, 5738269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*o = -638*o - 53088 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 + 1)*-2. Let n(m) = -m**2 - 22*m - 38. Let u be n(-20). Suppose u*z = 5*b - 15, 2*z + 3*b + 1 - 26 = 0. Solve -d*c = 3*c - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211626 (base 10) to base 16\nAnswer: -127cea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*u - 1 + 4 = 0, -4*b = u + 3. Let k(h) = 3*h**2 - 5*h + 4. Let t(c) = -2*c**2 + 4*c - 3. Let q(x) = 3*k(x) + 4*t(x). Give q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Suppose 4*n + 3*a - 17 = 0, 0*a + v*a - 21 = -3*n. Put -12, n, -1 in decreasing order.\nAnswer: n, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -2*y**3\/3 + 12*y. Let o(x) be the first derivative of -11*x**3\/3 - 15. What is o(n(i))?\nAnswer: -176*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1801 divide 10521442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4762866 is divided by 41?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18565500 + 18*n**3 - 18565500.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 2*j**2 - 4*j**2 + (-8*j - 11*j + 7*j)*(-4 + j + 4).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) -22 (b) 4 (c) 1\/9 (d) 2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-108)\/14. Let r = x + -5. What are the prime factors of 16*r*3\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -4434.\nAnswer: 35472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -100. Suppose w + 16 = q*h - 41, 4*h = w + 115. Let x = h + -25. Solve 5*u - 3*s = -19, x*s = -2*u + 6*s - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138636188 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x - 3*a - 3, -3*x + 8 = -5*a. List the prime factors of (39\/9)\/(x\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -299*o**2 + 599*o**2 - 303*o**2. Let z(k) be the first derivative of -1 + 0*k + 9\/2*k**2. Give z(p(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1645800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + 159. Let w be z(16). Suppose 396 = 3*d - 4*g - w, -5*g - 632 = -4*d. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**7\/2520 + r**6\/720 - 7*r**4\/12 + 4*r. Let c(h) be the third derivative of d(h). List the prime factors of c(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -996227818562 - -996227051105.609991. Let c = 767456 + t. Let q = 0.39 + c. Round q to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -140. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 - c - 1. Let b be v(-1). Let d be (-1 + 2)*b*-1. What is the second biggest value in 4, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*o = 1, 0 = -29*i + 34*i - 4*o - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 24 + 6. Let d be ((-12)\/8)\/(y\/(-20)). Solve -d*i + 2 + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712272.8l in millilitres?\nAnswer: 712272800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 - 18*b - 5. Let v be q(5). Solve v*k = y, -2*k - y - 3 = -10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 5*h + 9. Suppose -z - 14 + 17 = 0. Let j be z\/((-1)\/4 + 1). What are the prime factors of w(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 8:05 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + z - 27 = 0, 0 = -5*m + 6*m + 5*z - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 1\/25, 11, -0.4, 0.9?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - r = 31, 0*r - 49 = -5*u + 4*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 170721.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13171054 and 55822?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 66994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -g - 2*m, -2*g + 30 = 3*g - 3*m. Let h(i) = i**3 - 7*i**2 + 8*i - 31. Does 33 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92127520 divided by 23031880.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Which is the third smallest value? (a) -3 (b) 1\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w**2 - 5*w - 5. Suppose -5*d = 216 - 191. Let m(t) = 20*t**2 + 8*t + 8. What is d*m(x) - 8*s(x)?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 895587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -63*0.5483\nAnswer: -34.5429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47287110 divided by 1818735.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10668.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 462, 836, 1520, 2622, 4250?\nAnswer: 6512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 8*i + 5. Let r be n(-4). Suppose 102 = -5*z - r*c + 452, -5*z + 350 = -c. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*o*q**2 + 16*b**2*q**2 - 166280*b**2*q + b*o*q**2 + 6*b*q**2 + 12667*o*q + 2*o - 2*q**2 - 2 wrt b?\nAnswer: 8*o*q**2 + 32*q**2 - 332560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.3 + 31. Let v = x + -6.8. Let q = -1325\/136 - -77\/8. Put v, q, -3\/5 in descending order.\nAnswer: v, q, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 - k**4\/12 - k**3\/6 + 2*k**2. Let u be m(-1). What is the units digit of -1*(-2 - 1 - u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 205?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003408299 rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4100 and 550?\nAnswer: 45100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -41 - 7. Let g be 2*54\/12*(-10)\/(-18). Suppose -3*t + m + 17 = 0, 14 = 5*t + g*m - 21. Calculate the smallest common multiple of t and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6847000 to the nearest one hundred thousand.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*p**3 + 17*p**2 - 10 - 7*p**2 - 10*p**2 + 18.\nAnswer: -125*p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 0*k + 0*k)*(-6 + 5 - 16)*(-22 + 22 - 3*k)*(5*k - k - k) in the form s*k**3 + r*k + q*k**2 + u and give s.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 + 65. Let p = -36 - j. Let n = -24.3 + p. Which is the closest to n? (a) 0 (b) 3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 64 = -10*n. What is the highest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2354 + 3?\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1388761 months in millennia?\nAnswer: 0.000178239675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 6759030*z**2 + 20277055*z - 13518030 = 0. Calculate z.\nAnswer: 1, 2, 1351803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/x*x*x*x\/((x*x**(-10))\/x))**(-2\/41)*(x**3*x\/(x\/x**(4\/9)))\/(x\/(x\/x**1))**(2\/151) assuming x is positive.\nAnswer: x**(169439\/55719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6838*h**2*p + 71*h**2 + 4*p - 158546 wrt h?\nAnswer: -13676*h*p + 142*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, 11, 33, 65, 107?\n\"Answer: 5*y**2 - 3*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22.8? (a) -67\/354 (b) -3 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 + -111291.356987\nAnswer: -111291.347987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 7*u**2 + 3*u - 2. Let i = 5 + 2. What is the units digit of o(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8023 divided by -119\nAnswer: 8023\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -39. Let b be (z\/15 - 0)\/(2\/45). Suppose 10*l - b = l. Solve 2*j - l = -2*t, 0 = -j - 0*t + 3*t - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b + 58*b - 15 = x, -5*b - 5*x - 30 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/16, -3\/8, 1\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9*m + 8 = 0. Let y = 57\/77 - 5\/11. What is the nearest to 0.1 in y, m, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*t = -3*g + 60, 2*t - 12 = -g. What is the derivative of -148 - g*a**4 + 133 - 11*a**4 wrt a?\nAnswer: -92*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Suppose -k = -18*k + 306. List the prime factors of l\/6 - (-93)\/k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*y = -0*d + 12, 0 = -2*y + 8. Suppose -3*h + 46 = -d*h. What is the tens digit of (-5)\/10 + h\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 12:00 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/10 + (-200)\/(-500)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*z + 18, 4*z - 36 = -45519*i + 45521*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -306 divided by 51\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2427783 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 8:08 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 - 6*y**2 - 9*y - 12. Let h(l) = l**3 + 2*l**2 + l + 1. Let m(z) = 6*h(z) + q(z). Let m(u) = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1, -6 in descending order.\nAnswer: 1, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4240\/2226 - 8\/6. Find d such that -v*d**3 - 2\/7*d**4 + 8\/7*d - 8\/7 + 6\/7*d**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/16 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*k, 115*m - 5 = 119*m + 5*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 11)*(-s + s + 7*s**2)*(8*s**2 - 4*s + 4*s).\nAnswer: 1120*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 20, 0.2, -0.2, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -484.7 - -458. Let r = -27 - w. Let u = -2 - -3. What is the closest to u in 3\/8, -1, r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 5*b**3 - 2*b**3)*(-5*b + 5*b - 3*b)*((2 + 2 - 3)*(0 + 0 - 1) + (4 + 0 - 2)*(-2 + 3 + 0) - 1 + 7 - 3).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 50. Let w(g) = -2*g - 4. Calculate w(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.659 to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 19*q**2 - 22*q + 40. Let l be m(20). Solve 2*a + l*a + 3*c - 3 = 0, 2*c - 2 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -135.7 and -0.147.\nAnswer: -135.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + u**3 - 2*u**2)*(-4*u + 4*u - u**2) + u**5 + 2*u**5 - 4*u**5 + (-3 - 2*u + 3)*(-2*u**4 + 3*u**4 + 0*u**4) - 4*u - 2*u**5 + 4*u.\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -44*m - 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 54 = 2*y - 34*t + 32*t, 14*y + 0*t = 5*t + 105 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7242, 6618, 5994, 5370?\nAnswer: 4746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjilnglj. What is prob of picking 1 j and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 + -808\nAnswer: -806.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4853, 4821, 4739, 4583, 4329, 3953, 3431?\nAnswer: 2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k + 3. Suppose -3*r + 16 = 5*d, r = k*d + 5*r - 12. Suppose -5 = -5*y, -d*n + 2*y - 3*y = -41. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021581 to five decimal places.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -726430 + -313?\nAnswer: -726743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**4 - 43774*n**2 + 190090.\nAnswer: 8*n**3 - 87548*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 8. Let u = i + 3. Suppose -5*q + 20 = -x - u*x, 5*q - 35 = -2*x. Sort -4, -2, q.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -953, -2202, -3967, -6242, -9021?\nAnswer: -12298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 32\/7 + 18\/7*p**2 - 48\/7*p - 2\/7*p**3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -791677*k. Let n(w) = 5*w. Give p(n(b)).\nAnswer: -3958385*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 28 + 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 41 + (-25 - -15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - (19 + -11 + (-11 + 1 - -2)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*k - 22, -3*k + 32 = -i - 3*i. Solve -11 = k*o - 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634357 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from ygwrzvrzvzwyzzzz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -433 + 442. Let m = -4 - -4. Calculate the remainder when (-2 - -1) + m - -18 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1571 and 22.\nAnswer: 22.1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 32. Calculate j(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98398 divided by -8?\nAnswer: -49199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 2. Let c = 10 - 2. Calculate the remainder when b(c) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*x - 28 = 0, -2 = 3*x + 10. Solve -4*a = -i*a + 2*m + 8, a - 5*m = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 6*n**2 + 8. Let k be o(-6). Let q(j) = -15*j + 7*j - 4*j**2 + k*j. Let m(t) = 37*t**2. Determine m(q(d)).\nAnswer: 592*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:07 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 7*q - 4. Suppose p + 2 + 2 = -2*d, d - 5*p = 20. Let c = d + -4. Let j be a(c). Solve 4*k - 18 = 5*z, 0 = 4*k - 0 - j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6160 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -76\/5 = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -11*a**6\/20 + a**5\/10 + a**4\/8 + 1916*a**3\/3 + 6*a**2 + 16*a. What is the derivative of v(x) wrt x?\nAnswer: -198*x**2 + 12*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 1. Let d be s(6). Suppose 2*t = 3*f + 4, -f + 0*f + d*t = 23. What are the prime factors of 0 + f - 6*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 1. Let v be -1*(-1 + 0\/(-3)). Let q(c) = 17*c - 84. Let g(t) = 9*t - 45. Let x(p) = 13*g(p) - 7*q(p). Determine v*x(u) - 4*o(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24519 and 982.\nAnswer: -24077658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l**2 + 30*l**2 + l**2.\nAnswer: 86*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2231*c**3 + 4479*c**3 + 11*c + 2*c**2 - 2229*c**3 to the form v*c**3 + p*c + n*c**2 + x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31064369617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jebb when four letters picked without replacement from bebbjebeeeebebj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -171*i**2 + 7523*i + 60. What is x(44)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let x(y) = y. Let h(t) = 7*x(t) - 4*z(t). Let j(i) = i**2. Give j(h(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 4*y = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1450 = -5*x - 3*l, -4*x + 3*l + 1197 = -2*l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577 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 u be 34\/8 + 1\/(-4). Suppose u*z - 4 = 4. What is the third derivative of -6*b**3 + 3*b**3 - 11*b**z + 14*b**2 wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211002104 (base 5) to base 13\nAnswer: -248522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*x**2 + 12*x**2 - 55*x**3 + 14 - 16*x**3.\nAnswer: -71*x**3 - 62*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297134269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 160\/51?\nAnswer: 160\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70932430 divided by -14930.\nAnswer: -4751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -420 or -418?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3289 + 3366 = 3*u + 5*p, 9*p - 144 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4 + 334*j**3 - 3786*j**2 - 35617588*j wrt j.\nAnswer: 12*j**2 + 2004*j - 7572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -0.14476.\nAnswer: -0.0014476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 28 + 12 = 0. Let w be (-48)\/(-9)*(-30)\/h. Suppose -5*a + 200 = -a. Calculate the greatest common factor of w and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 - 38520?\nAnswer: -38562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1176, -1805, -2434?\n\"Answer: -629*v - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**4 + 2 - 2 + 1 - 1 - 2*s**4 + (4 - 4 - 2*s)*(-5*s**3 + s - s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 + 8*z**2 + 28*z - 16. Let y(t) = -3*t**3 + 3*t**2 + 14*t - 11. Let c(v) = -4*q(v) + 7*y(v). What is c(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 112 - 112 + 3*i + 10 - 10 - i + (1 - 2 + 3)*(i - 2*i - i) + 2*i - 2*i - 2*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-520866)\/(-76) + (3 - (-9)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b + 32 + 45. Let n(f) = -3*f + 2. Let u(c) = -2*c + 2. Let o(w) = 3*n(w) - 2*u(w). Let r(m) = -7*m + 5 - 7*m + 3*m. Give b*o(k) + 3*r(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 5*z**2 + 4*z + 7. Suppose 0 = 4*r - 0*r - 16. Suppose -r = -b - b. Suppose b*j + 3 = 15. Determine u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 9*z**4 + 1 - 42*z**2 + 12*z**4 + 27*z**2 + 19*z**2 to the form k*z**2 + s*z + p*z**4 + m + i*z**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 47?\nAnswer: -67\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -207552, -207559, -207580, -207621, -207688?\n\"Answer: -r**3 - r**2 + 3*r - 207553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = s, 0*f - f + 5 = 2*s. Suppose s = 8*o - 3*o - 100000. What is o rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/49644 and 133\/18.\nAnswer: 49644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - 0.08. Let m = -1 - -1. Suppose -5*u - 3*t = -5, u - 3*t - 3 = -4*t. Which is the nearest to w? (a) 4\/7 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 + 155624*a**4 - 4670646*a**3 - 9808156*a**2 - 4981888*a = 0 for a.\nAnswer: -77842, -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -24. Let a(r) = 4*r**2 - 2*r - 1. Determine a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 9*b**2)*(0 + 0 - 3*b) - 3*b**3 + 0*b**3 + 4*b**3 + (6*b - b - 2*b)*(b**2 + b**2 - 3*b**2) in the form i + r*b + f*b**3 + m*b**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 - 2390620*o**3 + 14343840*o**2 - 28687760*o + 19125200 = 0?\nAnswer: -478130, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1157*p**2 + 5167*p**2 + 2137*p**2.\nAnswer: 6147*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/222 and -71\/21?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -0.0639 in ascending order.\nAnswer: -0.0639, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -15*t**3 + 9920*t**2 + 90195*t + 201100 = 0?\nAnswer: -5, -4, 2011\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 27*y**2 + 52*y + 37. Let h be q(-25). Let c(u) = u + 20. What is the smallest common multiple of 67 and c(h)?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) -9.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.052, -0.3, -514?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**6\/1080 + 23*x**5\/540 + 11*x**4\/18 + 10*x**3\/3 - 2*x**2 - 15*x - 30. Factor f(m).\nAnswer: (m + 2)*(m + 6)*(m + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621.121 litres in millilitres?\nAnswer: 4621121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:34 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 4. Let w be z(3). Let k(x) = -x**2 - 8*x - 10. Let n be k(w). Let y = 122 + n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -48*n**2 + 13319*n - 4442*n - 4441*n - 4436*n. Let s(h) = -h + 4. Calculate o(s(p)).\nAnswer: -48*p**2 + 384*p - 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411169.\nAnswer: 3, 41, 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 546*l - 3915. What is the tens digit of v(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 7 + 0*m**2 - 3*m - 2\/3*m**3. Differentiate b(n) with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 18*i + 609. What is p(35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 522419.6 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146121726.\nAnswer: 2, 3, 24353621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 2, j: 6, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqggggqxqgggqghqaxhq. Give prob of sequence ggaq.\nAnswer: 49\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {k: 2, r: 8, m: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-56)*(-64)\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (115 + -103)*8019\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q**2 - q. Let h(p) = -p**4 + 6*p**3 - 5*p**2 + 3*p. Let n(d) = h(d) + 3*u(d). Find x such that n(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43814 is divided by 2086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = 5*i + 26, 0 = -q + i - 13. List the prime factors of (-98)\/(-10)*(-325)\/q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(-47 - 6569*o - 6427*o + 12878*o) to the form c*o + i and give c.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98)*-1 - sqrt(98))**2 + sqrt(98) + -4 + 4.\nAnswer: 7*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - 9*h**3 - 13*h)*(5*h**2 + 6 - 6).\nAnswer: -45*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -657 - -1587. Does 31 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 21*x = 6. Put x, -3, -2, 1 in descending order.\nAnswer: x, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 6*q - 7. Let n be r(-7). Does 10 divide n\/(-6) + (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2155 - 0.0845. What is the smallest value in -2, 162, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - -3. Let i(b) = b**3 + 6*b**2 + 6*b + 1. Let h be i(-5). Let z = 6.1 - 1.1. Sort h, y, z.\nAnswer: h, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) - sqrt(64) - sqrt(4)))**2 + (sqrt(80))**2 + -1 + (sqrt(60)*-1)\/sqrt(12) + sqrt(100)\/sqrt(5).\nAnswer: sqrt(5) + 1269\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*d - 14 = -8, 2*p + 18 = -6373*d + 6379*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(1 - 0) - 2. Suppose -4*v - 3*x + 1 = 6, v + q = -x. Which is the nearest to -1\/3? (a) v (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q**2 - 25*q**2 + 22*q**3 + (0*q**2 - 2*q**2 + q**2)*(0 + 0 + q) - q**3 + 2*q**3 - 3*q**3 to f*q + r*q**3 + b*q**2 + d and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -182, -705, -1562, -2741, -4230, -6017?\n\"Answer: 2*r**3 - 179*r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 2. Let i be k(-3). Let o = 124 + i. Let r be 11\/1 + 5 + 1 + -4. Calculate the highest common divisor of r and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = 2*v, -4*k - 2 = -0*v - 2*v. Solve 0 = c - 1 - v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 - 6*q + 6. Let v be y(6). Solve l = 4*u + v, l + 14 = -2*l - 4*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 0*t + 6*t)*(-182 - 271 + 941).\nAnswer: 488*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 506888843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 31. Suppose -29*w = 30*w - 42*w - 102. Let n(v) = 4*v + 62. What is w*n(x) - 13*f(x)?\nAnswer: -2*x - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3096*d. Let h(z) = -11*z - 2. Let p(m) = -56*m - 10. Let w(s) = -5*h(s) + p(s). Give w(c(r)).\nAnswer: 3096*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q + 21 = -47 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.64 millilitres in litres?\nAnswer: 0.67264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 2*f + 6*f + 6. Let j = 153 + -145. Suppose -4*k - 32 = -7*o + j*o, 0 = o. Determine x(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) -56 (b) -3 (c) -5\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1173.14 = -2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 8*a + 88. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 7, w: 5, h: 5}. What is prob of sequence hrxw?\nAnswer: 35\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 9 = g, 20*g - 19*g - 6*g + s - 31 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6973 = 9*x + 6883 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 26 = -4*p, 0 = -7*p + 6*z - 7*z - 1 - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319 and 261?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 2458360*y + 59001792.\nAnswer: -2*(y - 24)*(y + 1229204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8670032, 8670030, 8670028, 8670026, 8670024, 8670022?\nAnswer: 8670020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2768*g = 2766*g - 5*l - 16, g = -l - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 4)**2 - (-2 + sqrt(171)).\nAnswer: 5*sqrt(19) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - 0) + (561 - 547)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -38. What is the nearest to d in -4\/3, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**3 + 15*j*z**3 - 1014*z**3 wrt j.\nAnswer: -12*j**2 + 15*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 9\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 230241\/(-46860) - (6\/4)\/((-9)\/30) and 27\/1988.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82861.07 centimeters in millimeters?\nAnswer: 828610.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*k - 1371 + 4881 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8938550.\nAnswer: 1\/8938550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 10:11 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.26 (b) -1\/5 (c) 2\/105 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -70*t - 2. Let a be c(-2). Let u be (-1166)\/14 + (-2)\/(-7). Let g = u + a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 10:11 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -5 (c) 300 (d) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 20594?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -57 (b) -5 (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -5*j + 0*j**2 + 0*j**3 + 0 - 7\/4*j**4. Let v(x) = -2*x**2. Calculate z(v(i)).\nAnswer: -84*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245522?\nAnswer: 2, 122761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 0, 2*h = 4*y + 6 + 12. Let x be h\/(-2) - 9\/(-2). Suppose 2*w - 16 = -2*w. Solve -o = -x*o - w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343946.9 rounded to the nearest one hundred?\nAnswer: -343900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 176, 303, 470, 671, 900, 1151?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917094827?\nAnswer: 11, 83372257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2 + 166*o - 1245. What is p(7)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**6\/51 - 4*n**5\/17 + 12*n**4\/17 + 32*n**3\/51 - 112*n**2\/17 + 192*n\/17 - 240. Find z such that b(z) = 0.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -6*n**5 - 291*n**4 + 1755*n**3 - 1500*n**2 - 2244*n + 1296 = 0.\nAnswer: -54, -1, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 - (-2 - -3)*-1. Suppose 0 = 2*k + k - r. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -143*i**3 + 9*i**2 - 18. Let b(q) = -72*q**3 + 5*q**2 - 9. Let c(s) = -3*a(s) + 5*b(s). Find the third derivative of c(r) wrt r.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2584516 (base 10) in base 8?\nAnswer: -11667704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**4 - z**4 - 6*z**4)*(-1520 + 1028 - 3103) as j*z**2 + b*z**4 + f + n*z**3 + r*z and give b.\nAnswer: 7190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40003 is divided by 159.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.93351 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1768, -1779, -1804, -1849, -1920, -2023, -2164?\nAnswer: -2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1798368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 22*u - 3. Let l be b(-22). Let j(g) = -g**3 - 7*g**2 - 18*g + 3. Let n be j(l). Round n to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/164102 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 586979, 586965, 586943, 586913, 586875, 586829, 586775?\n\"Answer: -4*c**2 - 2*c + 586985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 750675, 750666, 750655, 750642, 750627?\n\"Answer: -d**2 - 6*d + 750682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 70. Calculate the common denominator of -65*(-3 + -1)\/z and 1\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12515 + 44178. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -25*a - 35 + 14. Which is bigger: a or 2842?\nAnswer: 2842","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x + 1. Let c(q) = -9*q**3 - 554*q - 3 + 1107*q - 556*q. Give -3*c(d) - 9*p(d).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 25*g = 238. What is the remainder when 29 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 n when three letters picked without replacement from {n: 5, a: 8, r: 7}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(228))\/sqrt(12) + -2)*-2)**2 + 4*((3*sqrt(19))**2 + sqrt(19)) + 4 + sqrt(76)\/sqrt(4).\nAnswer: -27*sqrt(19) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -457 (b) 27 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyjjyyhipjl. Give prob of picking 1 l and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 3*t**2 - 38 + 18 + 20.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 389253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 44*w. Let z(s) = -9*s + 20. What is m(z(x))?\nAnswer: -396*x + 880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-3.87\nAnswer: 0.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6639.99128 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*g**3 + 165*g**3 + 268*g**3 + 413*g**3 + 149*g**3.\nAnswer: 907*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*a + 129 = -301*a + 5949 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r. Let a(w) be the first derivative of w**4\/6 + w**2 + 3. Let t(x) be the second derivative of a(x). What is -5*d(i) - 8*t(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 12*k - 3. Let x be a(-12). Put -4, x, -15 in descending order.\nAnswer: x, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 3, 4, 1 in descending order.\nAnswer: 4, 3, 1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115526 by -2.\nAnswer: -57763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -2381, -7959, -18719, -36365, -62601?\nAnswer: -99131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -14. Let g(z) = -h + 5*z + 16*z**2 - 8*z + 4*z. What is the tens digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23344245 - -1034?\nAnswer: 23345323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*i - 96*i + 143*i + 134*i + i + 2 - 2 - 3*i + 0*i + 2*i + (2 - 2 - 2)*(-2*i + 3*i + i) + 0 + i + 0 - 4*i + 3*i + 3*i to the form y + r*i and give r.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -128554a (base 12) in base 5?\nAnswer: -1414041304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1784 - -1781. Let f(v) = -2*v**3 - 5*v**2 - 2*v + 3. What is f(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 44515 = 2*w - 15*c, -3*c + 9 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-7))\/(6\/4). Let x be 32\/16 + (3 - 1). Which is the closest to 0.1? (a) f (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 17. Let y(i) be the first derivative of -1\/2*i**u - 2 - 3*i. Determine y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*j**2 + 219*j - 5*j**2 - 219*j in the form p*j**2 + o*j + h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3760553514?\nAnswer: 2, 3, 919, 682001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.399 to 1 decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.352 * -0.81.\nAnswer: -4.33512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6864 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 15741880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) 0.024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7594*k - 9755 = -5643*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*r**3 + 9.\nAnswer: 327*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 311 divided by -393\nAnswer: -311\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-4403)\/68)\/37)\/(6\/(-16)). Solve 11\/12*t**4 + 43\/12*t**3 + 73\/12*t**2 + y*t + 1\/12*t**5 + 4\/3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -231, -211, -165, -81, 53, 249, 519, 875?\n\"Answer: 2*s**3 + s**2 + 3*s - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26.4 (b) 129 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1610 by -490.\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665281.\nAnswer: 113, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/3 + 115*c**4\/3 + 3182*c**3\/3 - 7300*c**2\/3 - 4248*c + 9120 = 0.\nAnswer: -60, -57, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4955 = -4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 1120?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781*x**2 + 116*x - 366*x + 134*x + 116*x.\nAnswer: -781*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2107 and 79.\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -56.71. Let p = t - 0.81. Let j = p + 0.5199926. Round j to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, z: 5, n: 3}. Give prob of picking 2 n and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/263499?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 409*m + 81. Let w(s) = -14. Give r(h) + 6*w(h).\nAnswer: 409*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, -6, 2 in increasing order.\nAnswer: -6, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Solve z = 3*p - 11 + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 31. Let t = 13 + g. Solve -14 = -5*m + 3*v, -3*m - t*v = 4 + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/4620 - h**6\/1980 - h**3\/3 - 3*h**2. Let y(b) be the first derivative of u(b). Factor y(x).\nAnswer: -2*x**2*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = c - 3*c, -2*a = 3*c + 1. Let k be (-2)\/10 + 3\/15. Let r(t) = -a - t + k*t + 8. Calculate r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:05 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**3 + v**3 - 5*v**3 + v)*(0*v + 3*v - 2*v)*(-2 - 7 - 1) as q + g*v + t*v**4 + d*v**2 + w*v**3 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 96*g**2\/7 - 354*g + 4556\/7.\nAnswer: 2*(g - 17)*(g - 2)*(g + 67)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 5*f + 8. Suppose 2*a + 41 = -5*t, 0*t + 10 = -t - a. Let k be u(t). Let z = k - -23. What are the prime factors of z?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 496121, 496312, 496503, 496694?\n\"Answer: 191*m + 495930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54684 - 25354. Suppose 0 = 12*g - 7*g - 43350. Let f = g + n. Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -8 - (-11 - -20 - (17 + -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -10)*1\/(-2). What is the second biggest value in -0.2, -5, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 10:16 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 23*o + 4993. Calculate z(88).\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -376 by -957.\nAnswer: 376\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 654 - 651 = 0. Suppose -2*q + t = 3*a - 65, -2*q - 110 = -5*a. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.6 (b) -3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1330*o**2. Let c(n) be the third derivative of 5*n**4\/24 - 2*n**2 - 53*n + 36. Determine g(c(d)).\nAnswer: 33250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 385609191 less than 27.366?\nAnswer: -385609163.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -7*h + 888. Suppose -3*x - 3*f - 10 + h = 0, 2*f + 76 = 2*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-67)\/(-22))\/((-280)\/(-15)). Let o = x + -867\/23408. What is the smallest value in 2\/11, o, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + 2\/72. Let o = 19.8 - 14.8. What is the second biggest value in -0.3, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.5, -0.2, 2\/41, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 634338 and 90018.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c - g, 2*c - 21 = -5*g + 2. Let k be (c + -2 + 2)*-9. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 52 - 52 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q**2 - q + 9. Let r be t(0). Let m be r*3*3\/27. Is (m - 0)\/(1\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 + 0*a + 0*a)*(-11 - 23 + 23) to o*a + h*a**2 + g and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*f - 5*f + 29, 3 = 3*f. Let t be h\/(-6) + (-43)\/(-2). Calculate the greatest common factor of 140 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 1\/60*m**5 + 0*m**2 + 4*m + 0 + 1\/6*m**3 + 0*m**4. Let t(p) be the second derivative of x(p). Determine t(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 9:14 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2176 - 2164 - 2162 - 2165 - 3*a - 2160 + 10827.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10910 + -3830. Let f be 0 - (-10)\/(-45) - y\/(-27). Let t = -109 + f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-15)*(8\/12)\/(8\/(-18)*-51).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 2905747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9358881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*x - 299*x + 1178*x = 302*x + 31442 for x.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 2*c. Let f(x) be the first derivative of 16*x**3\/3 + 11*x**2\/2 - 1. Let m be (-1908)\/(-87) - 60\/(-870). What is m*r(p) - 4*f(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(1*sqrt(1029) + sqrt(21))\/(-3*sqrt(192)).\nAnswer: -2*sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*h + 9*h. Let v be ((-10)\/12 - 0)*-2. Which is the nearest to 2? (a) -5 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 v when four letters picked without replacement from xvvvxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15878 and 4586874?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -3\/7 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:30 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 3. Let d(u) = 29*u + 264. Let v(f) = 21*f + 192. Let y(a) = 8*d(a) - 11*v(a). Let h = 12 - 7. What is h*y(l) - x(l)?\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -575637464 or -575637465?\nAnswer: -575637465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 263319 and 18648.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + -0.04. Let q = 0.13 - s. Round q to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + w + 2)*(-19*w**2 + 32*w**2 + 81*w**2).\nAnswer: 94*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 195 - 399 = 0. Let l = -293 - -310. Suppose -l*z + 187 = -663. Calculate the remainder when f is divided by z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, 22, 179, 420, 757, 1202, 1767, 2464?\n\"Answer: 2*u**3 + 24*u**2 - u - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 59*k + 595. Let i be o(-10). Solve 16*r - 43 = i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1464, -1466, -1470, -1476, -1484, -1494, -1506?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 4, 2562 in ascending order.\nAnswer: 4, 71, 2562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3156)\/3945)\/((-220)\/5).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 8, g: 10}. Give prob of sequence hghh.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3 - 3518457*f**2 - 1031637101157*f - 5158097544735 = 0?\nAnswer: -586407, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 9*g - 2. Find the third derivative of 7*x**2 - 6*x**5 + 20*x**5 - 17*x**g - 6*x**2 wrt x.\nAnswer: 840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6195 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 15*k - 3 = 0. Let i(v) = -2*v - 1. Let w be i(k). Is 1\/w + 2120\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/10 and -13\/41.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 - 5*n + 6. Let u be x(-7). Let k = u + 149. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-10\/3))*b**(-10))\/(b**(19\/4)*b**(-25)\/b*b) assuming b is positive.\nAnswer: b**(163\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(3150\/(-105)))\/(((-2)\/((-6)\/(-83)))\/1)\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 10) in base 7?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 7604*u**2 - 3563868*u - 47624148.\nAnswer: -4*(u - 957)**2*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29490815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 5213476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -36. Let y be -3 + 56\/(-4 - b). Calculate the greatest common factor of 100 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -514, -509, -504, -499, -494?\n\"Answer: 5*h - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/288 and 47\/11463.\nAnswer: 1100448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1367 + -11011\/8. Find the common denominator of 29\/952 and a.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181034518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4435 is divided by 4272?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.6 - -45. Let f = i - 34. Which is the closest to 0.2? (a) 0.2 (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -86.\nAnswer: 25\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21 - 930*i**2 - 2 - 10*i - 948*i**2 + 1883*i**2. Calculate a(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t**2 + 35\/3*t**3 - 21*t - 48. Differentiate k(y) wrt y.\nAnswer: 70*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(3\/6 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:35 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 - -93. Let l = 26 + p. Let i be (-169 + 166)*2\/(5 + -1). What is the nearest to 0 in l, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10833790 to the nearest integer?\nAnswer: 3291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 9 - (18 - 54 - -14)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -390?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*w**6 + 2*w**4 - 2*w**3 - w**2 - 640*w - 7 wrt w?\nAnswer: 16680*w**3 + 48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(0 - 2 + 3) + 2500 - 9727 - 1904)*(2 - 2 - f).\nAnswer: 9129*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/60 + 437*f**4\/36 + 73*f**3\/3 - 12*f + 68. Factor v(b).\nAnswer: -b*(b - 438)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187\/7 + -27. Let l = -358 - -358. Which is the third smallest value? (a) l (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127753976 is divided by 28453.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 - 2*u + 3. Let j be k(3). Let t(g) = g**3 - 4*g**2 + 4*g - 2. Let y be t(3). Let w be 4\/j*(y + -4). What is the biggest value in 1, -0.1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57800 - 6480 = 4*p. Suppose -162966 = -4*j - p. Is j\/70 + (-4)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 4204985.\nAnswer: -3\/4204985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2914*u**5\/5 + 2261*u**2\/2 + 2668. Find the second derivative of d(c) wrt c.\nAnswer: -34968*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/(y\/(y\/(y\/(y**4\/y)))))\/(y**1)**(-8\/11))\/((y*y\/(y\/y**1)*y)\/(y*y**(-2\/9)\/y*y*y*y))**(2\/7) assuming y is positive.\nAnswer: y**(6004\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 502391801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071 + 0.029. Let q(m) = m - 1. Let g be (-2 - -5)*(-1 + 0). Let u be q(g). What is the second smallest value in -1\/3, u, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.94 + 0.06. Let w = l + -9.9894. What is w rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -22*f + 21*f. Let g(w) = w + 3. Let c be g(-3). Solve v - f*v - 2 = c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 778, 1555, 2332, 3109?\n\"Answer: 777*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627184077?\nAnswer: 3, 13, 17, 37, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppquuq. What is prob of sequence pqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 49, 74, 99, 124?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -54*r**3 - 2*r + 2. Let c be p(2). Let g be -3 - (c\/(-20))\/(-7). What is the smallest value in g, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from ssskkk?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 19*k**2 + 50*k + 18. What is the hundreds digit of a(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089933 take away 182310945.7?\nAnswer: -182310945.789933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 100, 4, 534, -30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 820 = 5*t, -2*t + 0*t + 5*h = -337. Let s be ((-23)\/t)\/((-2)\/14). Calculate the lowest common multiple of (-32)\/(-8) - 1\/s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let f be 2\/(-2)*0\/z. Let r(l) = -l - 6. Determine r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:40 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = 0, 0 = 21*w - 25*w - y + 1345. Let p = -337 + w. Let r(g) = -9*g**3 + g. What is r(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/3 (c) -4 (d) 77 (e) 0.35 (f) 150.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 32*t**3 + 24*t + 198*t**2 - 422*t**2 - 4*t**4 + 172*t**2 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398537921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1319, 2631, 3935, 5231, 6519, 7799?\n\"Answer: -4*y**2 + 1324*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*n**6 + 128*n**2?\nAnswer: 15600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 32 + 464 = 0. Let y be (i\/(-4))\/((-6)\/(-8)). What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2472239 divided by -679.\nAnswer: -3641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 2\/633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10734\/11 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9744729 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16988580 divided by 471905.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102122002011201 + 0?\nAnswer: -102122002011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*p - 17506, -68*i - p = -66*i - 17498. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723784860 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 138*a - 139. Let z be b(47). Solve -2*y - z*w = -4, 5*y + 2*w = 5*w + 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35500 and 426?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuuunuuwnp. What is prob of picking 1 u and 2 n?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*v + 15. Let f(z) = -3*z**2 + 1. Let a be f(1). Let q = 2 + a. Solve q = -v*g - 12 - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 918, -4, 3, 19, -2, 0 in descending order.\nAnswer: 918, 19, 3, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(80) + 0)*1 + sqrt(80) + -1 + sqrt(80) + (0 + sqrt(80) - sqrt(80)) + 2)**2 + -2.\nAnswer: 24*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5495549, 5495547, 5495543, 5495537, 5495529?\nAnswer: 5495519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 9. Let s(k) = -5*k - 55. What is 25*b(a) + 4*s(a)?\nAnswer: 5*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.47 + 9.445. Let u = 5 - k. Round u to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 795?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09675148946 - 20.\nAnswer: -20.09675148946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3515759 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 4*k + 1. Let w be n(-2). Suppose 53 = 2*r + 5*l, 3*l - 90 = -w*r - l. Calculate the highest common divisor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406 - -406.233. Let g = x - -0.167. Which is the nearest to g? (a) -4 (b) -3\/7 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.363 + 14.363. What is the closest to 0.06 in -0.1, -3, n, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32155?\nAnswer: 5, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 1 a when three letters picked without replacement from {r: 1, i: 2, a: 4, c: 3, u: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276059 is divided by 2604.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, 1 d, and 1 s when four letters picked without replacement from {s: 4, y: 1, d: 3, z: 9, n: 1}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 35 = 125. Let s(m) = m**3 + 14*m**2 + 2*m - 16. Is s(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 0.06. Let v = r - 0.095. Round v to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdavvdddnva. Give prob of picking 2 a and 2 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 34*y = -184. Let u(o) = -22*o. Let a(v) = -45*v. Calculate y*a(z) + 9*u(z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 21. What is b(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 512, 982, 1452?\nAnswer: 1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/200 + j**5\/50 + j**4\/40 + 5*j**2. What is o in c(o) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1)\/(2 - 3). Suppose -3*r = v*r. Find the second derivative of r*j**2 + 3*j + j**3 + 3*j**2 - 3*j**2 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 428*g + 25466. Give s(-60).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-254 - (-141 + -132)) + (-1 - -53).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -741603 divided by 247201?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-893)\/940 + (-6)\/(-8) + 0. Sort -2\/5, 6, h in decreasing order.\nAnswer: 6, h, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-17)*y))\/(y\/y**(6\/17))*y**22\/y*((y\/(y*y**(2\/95)))\/y)\/y assuming y is positive.\nAnswer: y**(55446\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + 0 + -35 + -104?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*f - 4*w, -f + 0*w - 6 = -3*w. Let i be 15\/2*f\/(-9). Let y be (-70)\/(-15) - 6\/9. Solve y*d = -0*d + 5*o, 3*d + i*o + 35 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4857811*t**2 - 126*t + 11691 wrt t.\nAnswer: 9715622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 4*f - 60. What is the remainder when f\/(-10) - (-49)\/2 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 13\/6, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*g**5 - 3785*c*g**3 + 478*c*g**2 - 2*c*g - 2*c - g**2 wrt g?\nAnswer: 120*c*g**2 - 22710*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/11 and -3*(-69064)\/15696 + -13.\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274 divided by -25\nAnswer: 274\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 23137950451633.\nAnswer: 23137950451632.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + (sqrt(396) - (sqrt(396)*2*5 + sqrt(396))) - -4*(((0 + sqrt(396) - sqrt(396) - sqrt(396))*-4 + sqrt(396) - sqrt(396)) + -1))**2.\nAnswer: 432*sqrt(11) + 14292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.4 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/7, 2, -670, -0.1, 8, 637, -1\/3?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240.91 + -242. Let m = -246613 + 246614.09091. Let k = z + m. Round k to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4321 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31637 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816549747.\nAnswer: 2503, 725749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n + 2*n)*(2 + 2*n**2 - 2) + 40*n**4 + 1 - 1 + 4*n**3 + 2*n**4 - 4*n**3 - 2*n**4 + 4*n**2 - 4*n**2.\nAnswer: 42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.06 (b) 2\/13 (c) -3696\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, -5, 4, 5.\nAnswer: -5, 0, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*i**2 - 61*i + 596*i**2 - 148*i**2 - 133*i**2.\nAnswer: 99*i**2 - 61*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61320 is divided by 203.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1 - (41 - 40)) + 1 + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-1*-3 - sqrt(133))\/(sqrt(84)\/(-2*sqrt(12)) + sqrt(7)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/20 + q**4\/12 - q**3 + 21*q**2. Let b be p(4). Let w be 23\/b*(0 - (-1)\/1). Which is smaller: w or 26\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34606 is divided by 3094?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 85821815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 9*b**2 + 5*b - 14. Give m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5301941627.\nAnswer: 5301941627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (1750\/(-77) + 22)\/(3\/(-33))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -15*k - 26*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7664*n + 152649 = -184567 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 17786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000266577311 rounded to 7 decimal places?\nAnswer: 0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 13. Suppose -3*j = -2*p - 31, 0 = 5*j + p - 0*p - b. Calculate the lowest common multiple of 10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c + 294. Let z(n) be the second derivative of -n**4\/12 - n**3 - 2*n**2 + 5*n. Calculate the least common multiple of z(-4) and b(19).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/((-12)\/24).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -14421.\nAnswer: -14427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*s**3 + 520*s**2 - 1794*s + 540 = 0. What is s?\nAnswer: -90, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 + r + 2. Let x(g) = 8*g**3 - 15*g**2 + 5*g + 10. Let k(d) = 6*i(d) - x(d). Determine k(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54*w**3 - 58*w + 15220?\nAnswer: -162*w**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7))**(-1\/15))**(-1\/50) assuming m is positive.\nAnswer: m**(1\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102517812 rounded to 5 dps?\nAnswer: 0.01025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:46 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -0.1, -3.3, -0.3, -0.4.\nAnswer: -3.3, -0.4, -0.3, -0.1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 191?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34242*g - 34253*g + 267 - 267.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2 - 72*z - 24. Let b(w) = w**2 + 2. Give 10*b(j) + k(j).\nAnswer: 2*j**2 - 72*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + b + 37 = 0, -3*b - 21 = z + 5. Let t = -9 - z. Solve -t = -k + 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -43. Let w = 3 + g. Suppose -4*o = -0 + 4. What is the closest to 2\/3 in 0.02, w, o?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a = 0. Let k = 30 - 26. Put k, a, -3 in ascending order.\nAnswer: -3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61, 2\/3, -145, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -57. Suppose g = 44*l - 49*l. Let r(p) = p**3 + 4*p**2 - 4*p + 7. Determine r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/120 - 41*m**5\/60 - 23*m**4\/24 + 61*m**3\/3 - 23*m**2 - 3. What is the tens digit of f(42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z. Let y(f) = 569 + 4*f**2 - 569. What is r(y(a))?\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-9))\/(1\/(-1)). Suppose 240 = -12*c + 18*c. Let x be -4 - -3 - c\/(-25). What is the closest to 1\/2 in x, z, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100368 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8047 divided by -17495\nAnswer: 8047\/17495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1207088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -29. Let u(x) = -x**2 - 14*x + 20. Let y be u(s). Is (y\/25)\/((-4)\/(-10)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 297296*z**2 + 5457465856*z + 2482072697856.\nAnswer: 4*(z - 37384)**2*(z + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 - q + 2. Let d be ((-4)\/6)\/(14\/42). Determine f(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1856*v - 11099. Calculate d(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131626.\nAnswer: 2, 11, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*z + n + 2, -2*z = -3*n + 2. Suppose -v = -5*b - z, 2*v = -v + 6. Suppose b*h + 2*h = 4. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 16*w. Let u(a) = a. Let c be 1\/(-2)*-1 - (-209)\/38. Let y(d) = c*r(d) - 102*u(d). Let m(v) = -4*v**2. What is y(m(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 179\/5*k**4 + 279104\/5*k**2 + 1\/5*k**5 + 11256\/5*k**3 + 1931776\/5*k + 0 = 0.\nAnswer: -56, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siiiiiiiiiiiiiiiiiii. Give prob of sequence sii.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z - 40. Let c be (-6)\/(-4) - (-2)\/4. Suppose -c*l + 1 = -11. What is the smallest common multiple of z and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.479 (b) 2\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-81090)\/(-5406)*(2\/3)\/(5\/3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + a + 2. Let w be z(1). Suppose 24 = w*f - 56. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 2*d**5 - d**5 + (-2*d - 2*d + 0*d)*(3*d**4 + 3*d**4 - d**4) + 0*d**5 + 2*d**5 + 0*d**5 + 3*d**5 - 5*d**5 + 0*d**5.\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26898 (b) -2.3 (c) 162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1080 and 160.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*25\/(750\/(-30))*(-4)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*q. Suppose q = -5*b + 5*u - 3*u - 68, 5*b = -4*u - 44. Let d = b - -227. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(5*(sqrt(72) + sqrt(72) + 1*sqrt(72)))\/(sqrt(216)*2))**2.\nAnswer: -45*sqrt(3) + 711\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -458, 1\/57 in ascending order.\nAnswer: -458, 1\/57, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1044 and 1624.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592285 is divided by 216?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70901 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/15)\/(m**(3\/5)\/m)*(m**(-5)*m)\/m*m*m\/m**(-1)*m**(-2)*m*m*m*m*m**(-7)\/m*m*m**(-2)\/(m*m**(-4)*m) assuming m is positive.\nAnswer: m**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 40*u + 24 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 802\/1395 + 22\/465. Let w = -1261\/360 - m. Calculate the common denominator of 105\/22 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Let f be 1*(1 - (1 - z)). Let 0*v**3 + 2 - v**3 + v - 4*v**2 + 2*v**f = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1. Let f(n) = -n**3 + 6*n**2 - 5*n - 2. Let h be f(4). Let q(j) = -238 - h*j + 240 - j. Calculate 2*c(d) + q(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**3\/2 + 3*y\/2 - 2. Solve i(g) = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*1)\/(sqrt(3) - sqrt(27)*-4)*4*1.\nAnswer: 12*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 10*x**2 + x + 12. What is the remainder when 63 is divided by a(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103216 is divided by 3819.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -635?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27233 - -43428. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 0*v**3 + 2*v**3 + (0*v**2 - v**2 + 0*v**2)*(2 - 2*v - 2) - 5*v + v**3 + 5*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 550429.\nAnswer: 4\/550429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10780*w + 86217. Give r(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**4\/6 + 2*j. Let f(q) = q**2 - 2*q + 5. Let o be f(-4). Let x(h) = 2*h**2 - 29*h + o*h. Calculate x(u(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(6)*3))\/sqrt(10).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 37*c + 20*c**4 + 13*c**5 - 14*c**2 - 28*c**3 - 9*c**5 - 6*c**2 = 0. What is c?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10066 + -5?\nAnswer: 10061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5*j*j**(-4)*j*j*j**4*j*((j\/(j\/j**(-2\/15)))\/j*j*j*j)\/j assuming j is positive.\nAnswer: j**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 395?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015175 to 4 decimal places.\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, 70\/2683?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2678958.3229 - 2678441. Let c = -517 + u. Let q = 0.309 - c. Round q to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 16. Calculate the remainder when 431 is divided by s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (41 + -1 - (6 - -22) - (-37 - 0))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 29. Let u be w(-26). Let t be 562\/(-120) + 2\/(-3)*u. Let s = 16\/15 - t. Is s > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-246 - -353) + (1 - 16) - 27\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 - 2*s - 2. Let c be j(2). What is the units digit of (-12)\/(3\/c*-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(330)\/sqrt(216))\/((sqrt(60) + -3*sqrt(60))\/sqrt(12)) + 1*(-3 + -1 + sqrt(891))**2*-3).\nAnswer: -2591*sqrt(11)\/12 + 2721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17030 and 1010010.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:47 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264495141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 17*s**2 + s + 96. What is the thousands digit of d(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2904 + -2899. Let s = 0 - -0.1. Put s, r, 0 in increasing order.\nAnswer: 0, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/25 - 5 - -4) + (-144)\/60.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2313 - -896. Let m be 1 + 56869\/40 + 6*(-31)\/1488. Let c = m + j. Which is smaller: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) -0.34 (c) -9 (d) 5 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 3:44 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 915 + -978. Let v(u) = 175*u**2. Let w(j) = -11*j**2. Give o*w(c) - 4*v(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*(0*o + 3*o**2 + 0*o + (-1 + o + 1)*(-2*o + 2*o + o)).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(1700)*-2 - (5*-3*sqrt(17)*4)**2.\nAnswer: -61200 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/80 + 17\/(-5). Let t be i\/(-5) + (-12)\/20. Let x(q) = -q + 6. Let k be x(5). Which is the closest to k? (a) -5 (b) -1\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/229 in -0.2, 1, 8, -39?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 2, s: 1, k: 7, r: 3, p: 2}. What is prob of picking 2 i, 1 s, and 1 r?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-45)\/(-20) + 1919\/4. Calculate the highest common factor of s and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - (0 + -2) - 10 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 33 = 312. Suppose -127 = 5*m + v. Let t = m - -98. Is 54 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3257703 is divided by 232693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.023 + -7.377. Let a = -7.39821 - r. What is a rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1218 - 1206) + -1 + -69\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.9 + -17.1. Let y = -174 - g. Let x = y - -99. Which is smaller: -16 or x?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*6\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 1. Suppose -58 = i*z - 63. Let t be (-4)\/9 + 2\/6. Is z smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/36752 and -86\/654645.\nAnswer: 10474320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.052 + 0.05423. Round y to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4799, -1.3, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*g + 1265, -g + 5*c + 69 = -155. Let y(v) = 9*v**3 + 72*v**2 - 10*v + 3. Let w be y(-8). What is the highest common factor of g and w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(91) + sqrt(91) + sqrt(91))*6 - (sqrt(91) - (sqrt(91) + sqrt(91)*-1))*1)\/(sqrt(343) - 2*sqrt(343)*3))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**2 - 13. Let o(h) = 3*h**2 + 0*h**2 - h**2. What is o(a(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*((1*sqrt(1100) + sqrt(1100) + -3 - (5*(2 + sqrt(1100)))**2) + 0)*3)*-4.\nAnswer: -1656172 - 58800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.16999866 - -1.17. Round f to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14036316, -14036318, -14036320, -14036322, -14036324, -14036326?\n\"Answer: -2*h - 14036314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 227?\nAnswer: -10\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 5:44 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 - -585?\nAnswer: 5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 10. Let l(b) = -2*b**2 + f*b**2 - 2*b**2. Let v(o) = -o**2. What is l(v(d))?\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 - 148. Suppose -3*d - d = -v. Suppose 3*s - d = 5*c, -4*s + 36 + 4 = -4*c. Solve 5*b - 2*n = 18, -2*b + 3*n = 2*n - s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-26) - (-252)\/117. Suppose -22*t = -k*t - 21680. List the prime factors of t.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150026295 + -150026278.9999979. Let m = 16 - f. What is m rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54921 is divided by 18306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 - 191*m - 378. Let h(x) = 6*x**2 + 383*x + 756. Let s(i) = -4*h(i) - 7*l(i). What is a in s(a) = 0?\nAnswer: -63, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*c = -26 - 11, 2 = -2*z + 3*c. Let a(g) = g**3 - 6*g**2 + 7*g - 5. Let s be a(z). Let v(w) = w**3 - 6*w**2 + 5*w + 1. Give v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58378151?\nAnswer: 13, 487, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000413437 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgpp when four letters picked without replacement from ghghgpggpggpehlhe?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1656 + -1661. Let u(a) = 4*a - 4*a - 1 + 4*a - a. Let z(s) = 7*s - 3. Determine o*u(k) + 2*z(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51499, 103060, 154607, 206134, 257635, 309104, 360535, 411922?\nAnswer: 463259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - f + f + 5 - 5 + (3 + 0 - 2)*(5*f - f - 2*f))*(-f + 2 + 4 - 4).\nAnswer: -4*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 + 171*f - 3573. Give y(15).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 41*q + 45. Suppose -22*r - 17 = -83. Let b be s(r). Calculate the highest common divisor of b and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 75?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c - 5*p, -3*p = 2*c - 7*c + 94. What is the greatest common divisor of c and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50c (base 14) in base 13?\nAnswer: 5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:18 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1417.3 * -0.21.\nAnswer: 297.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + 0*o**2 + 5*o**2 + (o + 2*o**2 - o)*(0 - 2 + 1) - 339*o**2 + 87*o**2 + 107*o**2.\nAnswer: -146*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*u - 58901, 3*u = -5*q + 4*u + 98152. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42815 - -5?\nAnswer: -42810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30314160 and 40896.\nAnswer: 121256640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.215\nAnswer: 1.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1008) + -4 + (-6*(sqrt(1008) + -5) + sqrt(1008))**2.\nAnswer: -3552*sqrt(7) + 26096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*t + 1406 = 209*t - 2683 - 1063 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 46466646 (base 7) to base 13\nAnswer: accc26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**3 + 43*q**2 + 10*q + 3. Give l(8).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/18*0)\/(2*1). Let c = 28 - 24. Solve -5*j = -3*f - 40, i*j - c*j + 3*f = -35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/99 + (-1 - -1))\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 730, -2 in increasing order.\nAnswer: -5, -2, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 16\/(-24)*1*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:36 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-0.1368.\nAnswer: 1.2312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(1250) + 3*sqrt(1250) - sqrt(1250)))\/(-2*(-2*(-3*sqrt(1000) - sqrt(1000)) - sqrt(1000))).\nAnswer: -3*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppyyyeyyekeykei. Give prob of picking 1 i, 1 y, and 1 k.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 8 = -2*y - 7*q, 0 = -3*y - q - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9485683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d)**(3\/4)\/(d**(-2\/21)\/(d*d**24*d)) assuming d is positive.\nAnswer: d**(548\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33, -58, -83, -108, -133, -158?\n\"Answer: -25*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104 - 7) + (2 + 0 + 0 - (348 - 348)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*g + 43. Let l(n) = n + 2 + 5*n + n**2 + 2. Let m be l(g). Solve -m*x + 4*b + 3 = -17, 3*x + b = 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose -h - 12 = -w*o + 3*h, -o + 20 = 5*h. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(132) + sqrt(33)) + sqrt(33) + sqrt(396)\/sqrt(48))\/((1*sqrt(486))\/sqrt(2)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, -8, -3 in ascending order.\nAnswer: -8, -3, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -8.2 (b) 1 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -1.5. What is the second biggest value in 4\/9, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 21*v**5\/8 - 681*v**4\/2 + 46533*v**3\/8 - 54813*v**2\/4 + 10839*v\/2 + 2805 = 0?\nAnswer: -2\/7, 1, 2, 17, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 9)*(-2 + 2 - 2*x + (x - 5*x + 3*x)*(4 + 0 - 3) + x + x - 5*x) as n*x + v and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5137*c + 5106*c = -613087. List the prime factors of c.\nAnswer: 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-25)*t)\/(t**(-19)\/t)*t\/(t*t\/t**(-1)*t*t)*t**(2\/13) assuming t is positive.\nAnswer: t**(-89\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 0, -16, 0.2, -2.9, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -100. What is the first derivative of 43 + t**2 + 4*t**2 + v - 4*t**4 - 9 wrt t?\nAnswer: -16*t**3 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 46 (c) 2\/3 (d) -1\/5 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*n - v, -2*n = -0*v + 4*v + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -127, 0.1.\nAnswer: -127, -0.3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*i + 9 = 0, i + 10 - 1 = 5*x. Suppose -2*d = -3*g + 31, 5*g - 2*d - 33 = 16. Solve -2*j - g = -l, -x*j = l - 6*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2\/5, 1\/5, -3\/7, 0.16 in descending order.\nAnswer: 1\/5, 0.16, -2\/5, -3\/7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.026 + 0.031. Let y = u + 3.195. Let h = -3 + y. Sort h, -1\/2, -1\/7, -5 in descending order.\nAnswer: h, -1\/7, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 7:01 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100000111 + -1001100000000?\nAnswer: -10110000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 715 + 1108?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1261 - 321. Suppose 0 = -28*l + p + 936. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/49? (a) 36 (b) -15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 131, 2\/5, -3\/2, -2\/11, -11?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**3 + 6*w**2 + 97*w + 2. Let b(c) = c**3 + c + 1. Let f(z) = 2*b(z) - l(z). Find the second derivative of f(h) wrt h.\nAnswer: -18*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -668*u**3\/3 - u + 917. Let q(n) = 10*n. Determine q(j(m)).\nAnswer: -13360*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 617081809 to the power of 1\/3, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:10 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 0.2, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-130)*((-21)\/(-252))\/((-3)\/30)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 15 = 3*t + 2*t, -4*t = -4*k. Solve 35 = 5*v - t*u, -6*u = 3*v - 2*u + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*w - 2*w = -4, 6 = -2*c - 4*w. Let k = 12 + c. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 32, 35, 4.\nAnswer: -3, 4, 8, 32, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 25200544 = 23*j. Let h = 62930987\/10 + j. Let k = h - -7049. Find the common denominator of k and -67\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510802890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d7 + 2?\nAnswer: -1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15771781153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -58*v + 21. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -292.7592 to the nearest integer.\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 84*t**2 + 1808*t + 704. Let o(a) = 17*a**2 + 362*a + 141. Let h(p) = -16*o(p) + 3*x(p). What is z in h(z) = 0?\nAnswer: -18, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/2817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b26 + c8a?\nAnswer: 17b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k + 22*k + 1030*k**2 + 1049*k**2.\nAnswer: 2079*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*h + 10, -2*m - 2*m - 14 = 3*h. Let p(a) = 5*a**2 - 2*a**2 - 3*a**2 - 1 + a**3 + 5*a**2. What is p(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377)*-2 - sqrt(1377))**2 + -4 + 1*sqrt(1377) + -4)*-6.\nAnswer: -33000 - 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2892376 - -108?\nAnswer: 2892484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**9))\/n*n*n\/((n\/n**(1\/23)*n)\/n)*n*n**(-2\/7)\/(n\/((n\/(n**(-2)*n))\/n)) assuming n is positive.\nAnswer: n**(1571\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4602, -9205, -13808, -18411?\n\"Answer: -4603*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276705 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0*o + 0*o + o. Let s = 8 + -4. What is the units digit of x(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - w - 2220 = 0. Suppose -10*j + w = 130. Calculate the remainder when j is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.0238, 0.2 in descending order.\nAnswer: 3, 0.2, -0.0238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(468) + (sqrt(468) - sqrt(468)*4) + -5 + 3.\nAnswer: -12*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-814*i + 6185 - 6185)*(i - 2*i + 2*i).\nAnswer: -814*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (36\/24)\/((-2)\/(-1204))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108929591*j**3*o**3 - 10663*j**2*o**3 + j**2*o**2 + 6*j*o**3 + 17*j - 2*o**2 wrt j.\nAnswer: 653577546*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 12) to base 14.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50723?\nAnswer: 50723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*72\/33 - 4\/22. Let z(j) be the first derivative of 2\/25*j**5 + 2\/15*j**3 + 0*j**2 + 0*j + 1\/5*j**4 + l. Factor z(v).\nAnswer: 2*v**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*o + 35*o + 39*o)*(2*o - o + o) + (o - 5*o + 3*o)*(-3 - 2*o + 3)*(-2 + 1 + 2) to h*o + c + j*o**2 and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - 0 - (-467 - -418)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 39 = -2*y, 99*g - 17 = -y + 97*g. Suppose q + 3*q = 16. Let t(i) = -6 + 14*i - 4*i - 5 + q. Let c(d) = 3*d - 2. Give y*c(r) - 2*t(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 4\/3*m**2 - 124\/3*m = 0. What is m?\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:05 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2 - 10\/3) + 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/(-46)*1\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -112*u**3 + 2*u**2 + 18*u + 17. Calculate g(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 655 divided by 645\nAnswer: 131\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -65 (c) 256 (d) -0.14 (e) -1\/13 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1, 0.03, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - (-14 - (10 + -14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -21. Let n = 71.99915 + j. What is n rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 29. Let b be (-3)\/(-2 - 13\/q). Suppose -2*l = -b - 34. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 801372, 801402, 801460, 801552, 801684?\n\"Answer: k**3 + 8*k**2 - k + 801364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 42915 = -4*b. Let p = b - 11367\/4. Find the common denominator of (47\/4)\/1 - 1 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -41, -101, -185, -293, -425, -581?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 8*m + 7. Determine o(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4730)\/264 + 8)\/(-8) and -169\/30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(85)\/sqrt(5))**2 - -3*sqrt(85)\/sqrt(5).\nAnswer: -102 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 18*f**2 - 58*f - 333. Let a be z(-8). Let d(h) be the second derivative of 1\/12*h**4 - 7\/6*h**a + 12*h + 0 + h**2. Calculate d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 2. Let v = 24 + -9. Let i be 16\/3*v\/10. Let j be -4 + 4 + -1 - i. Let p(u) = -7*u + 5. Determine j*f(g) + 4*p(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 332*z**3. Let w be q(1). Let p be w\/6*(-27)\/9. Let n = p - -277. What are the prime factors of n?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**3 + 2*c**2 + 5*c - 1. Let f(a) = a**3 + a - 1. Determine -4*f(o) + m(o).\nAnswer: 4*o**3 + 2*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4844*a**4 + 20*a**2 + 107*a + 176518266 wrt a?\nAnswer: 19376*a**3 + 40*a + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4998 - -8481. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i - 3*i + 550. Let k = -52 + i. What is the units digit of k\/2 + 293\/(-4)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.379144 to 3 decimal places.\nAnswer: 0.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2880 (base 10) to base 15\nAnswer: -cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 3*y. Let h be o(-2). Suppose h*u + 15 = 5*u. Suppose -117 - 38 = -u*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2262, -2260, -2258, -2256, -2254?\n\"Answer: 2*q - 2264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from imiiimiii?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 + k - k**2 + 7 + 0. Let i be s(0). Suppose i = 4*n + 2. Solve 0 = z - n + 2, 2 = -2*p - 4*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 33\/(-22))*6\/14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/20 and 79\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8887*i. Let x(m) = -2*m. Calculate x(p(n)).\nAnswer: 17774*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1666 - 4c2b?\nAnswer: -35a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12*c + 2)*(-2*c - c + c)*(4*c**2 - c**2 - 2*c**2).\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19642496 and 114?\nAnswer: 1119622272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/10*-2206 - (-28)\/(-140).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (-24)\/18. Let d = y - -2. Suppose -d*f = -f - 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 8*r + 15. Suppose 12 = 2*l + 2*c - 0, -30 = -5*l + 3*c. Let s be m(l). Suppose s = -3*g - 3, 3*g - 414 = -5*v. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + 10 + (5 - 7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-33)*(-4)\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 9*a**2 - 5*a - 8. Calculate the remainder when h(7) is divided by (-174)\/(-2)*(-103)\/(-309).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*w - 14130, -79*o - 2*w = -80*o + 3528. Is o a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-6750)\/300*2\/(-30).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, -2\/11, -4, 1\/4 in descending order.\nAnswer: 3.4, 1\/4, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3207821291 to the power of 1\/2, to the nearest integer?\nAnswer: 56638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 56. What is the greatest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56504 or -56502?\nAnswer: -56504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135907?\nAnswer: 19, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16\/a)\/a**(3\/5)*a**(-20)*a*a*a*a**0*a assuming a is positive.\nAnswer: a**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/k**(2\/7)*k))**(-26)*(k**(-5)\/k)\/(k**(-1)*k))**(1\/4))**15 assuming k is positive.\nAnswer: k**(330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 12451*y**3\/3 - 7*y**2\/2 - 4*y + 9. Let r be v(-3). Let p = r - 55076. What is p rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 7*q**2 + 47*q - 157. What is i(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 2*c + 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c + 6 + 94. Let u(x) = x + 14. Let s be u(c). Solve -2 = -2*y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303212990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a factor of 61093604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3*r**3 - q**3*r**2 - 3*q**3*r - 80620*q**2*r**3 - 2*q**2*r**2 - 8147*q*r**2 + 7*r**3 wrt r.\nAnswer: 12*q**3 - 483720*q**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2491632 divided by -16?\nAnswer: 155727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15683795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5090 in increasing order.\nAnswer: -5090, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = 3*d. Calculate the greatest common divisor of 11 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*-1*5\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97521 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/7, -4, -8\/9.\nAnswer: -4, -8\/9, -3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k - 326. Determine o(-41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1*(-26)\/28015). Which is the nearest to 2? (a) 0.2 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 301\/5 + -60. Let h be 0*(-1 + 2) + 42\/(-7). What is the smallest value in s, -4, h, 5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**5 + c**3 + c**2 + c. Let t(y) = y**6 - 3*y**5 + 3*y**3 + 6*y**2 + 3*y. Let p(b) = -15*f(b) + 5*t(b). Find the third derivative of p(w) wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, q: 4, k: 4}. What is prob of sequence kkgg?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose -f - o*q = -12, -4*f - 2*q + 24 = -0*q. Suppose -f = -4*i - 0. Is 10\/13 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 57972177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -34*p - 19. What are the prime factors of n(-6)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - 5 - -117) + -104.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 11 + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/((-2)\/(-212)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.5, 1, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12*z**2 - 14*z - 49. Let n(h) = 2*h**2 + h + 14. Let r(i) = j(i) + 3*n(i). Let y(v) = -5*v**2 - 12*v - 6. Determine -6*r(d) + 7*y(d).\nAnswer: d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677438879 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181011660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*t**2 + 7*t + 104*t**2 - 8*t.\nAnswer: 231*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59940*n**5 - 2163*n**2 - 833*n**4 + 29967*n**5 + 29975*n**5 wrt n?\nAnswer: 120*n**2 - 19992*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-45)\/(-25)*4\/48?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 7, 8, -146, 5 in ascending order.\nAnswer: -146, -5, -2, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -19246 < -19248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4817, 4810, 4797, 4778, 4753, 4722?\n\"Answer: -3*g**2 + 2*g + 4818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 - 9355*y**3 - 4655280*y**2 - 256844480*y + 261509120 = 0. What is y?\nAnswer: -904, -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*p - 2*p. Let h = -16 + p. Let x(o) = 2*o**3 - 4. Let c(t) = -t**3 + 3. Let r(l) = h*c(l) - 5*x(l). Differentiate r(q) with respect to q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z - 12. Let m = 23 + -21. List the prime factors of q(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -19\/34 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:20 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21.913638 * 0.1\nAnswer: 2.1913638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 - (-14904)\/(-92) - -25.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 6*s**2 + s + 5. Let b be h(6). Put 2, -0.3, b in descending order.\nAnswer: b, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:50 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11\/2, 0.4, -2 in increasing order.\nAnswer: -11\/2, -2, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -197.214 - -196. Round w to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09745 and -1587998.\nAnswer: -1587998.09745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2208 = -30*q + 1092. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2373*h - 1182*h + 394716 - 1175*h - 394716.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (-3 - 38) + (113 - 27)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/4*(-22)\/(-33). Let d(o) = t*o + 0*o - 2*o. Let j(k) be the third derivative of k**6\/120 - k**5\/30 - k**4\/8 - 5*k**2 + 2. What is 3*d(q) + j(q)?\nAnswer: q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**4 + 4*b**4 + 4 - 3 - 6*b**4 - 3*b to the form z*b**4 + s*b**2 + f*b + t*b**3 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 6*p + 4. Let t = 10 + -4. Calculate q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 375.86 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 11*b - 5. Let t be y(13). What is the highest common divisor of 1344 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 2*z**2 - 17*z + 12. Let f be c(5). Suppose 4 = -3*m + m, -m = 4*k + f. Solve -4*w - 8 = k, 3*q = 7*q - 3*w - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4 - 8*z**3 - 4*z + 0*z + 3175*z**2 - 3185*z**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Suppose 4*d + 3*y - 20 = 0, 4*d - 10*y = -6*y - 8. Suppose g + d = -1. Determine x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 189, 9, 3, 107 in descending order.\nAnswer: 189, 107, 9, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 + -a18?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786 - 5*z + 6*z + 882 - 96.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 - 12?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 607944 and 709268.\nAnswer: 4255608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114189, -114300, -114481, -114732, -115053, -115444?\n\"Answer: -35*q**2 - 6*q - 114148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbvjsjs. What is prob of sequence js?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7731434747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzpppzzppzpp.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/25, -0.07, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.96 - -1. Let f = -0.54 + j. Let m = 0.8 + f. What is the closest to 1 in m, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144586445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755801.9l to millilitres.\nAnswer: 755801900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = d - 50, 3*d - 164 = -2*a. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 655, 663, 673, 685, 699, 715?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 372223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 3*j)*(0 - 3*j**4 - 7*j + 1 + 8*j).\nAnswer: 9*j**5 - 3*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = q - 10, -10*q + 2*q - 3076 + 3061 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2, 0.08, 0.1, 2.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2 + 6.2. What is the nearest to -0.4 in -1\/8, -3, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 + -159. Let q(c) = -6*c + 10. Let d be q(6). Let t = d + 38. Solve -t = -3*u - i, u - 4*i - w = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/9*r**3 + 2*r**2 + 17\/9*r + 0 = 0. What is r?\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-129)\/(-8) - (618\/(-48) - -13). Sort n, 5, -4, -3 in decreasing order.\nAnswer: n, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1374.29 millennia?\nAnswer: 16491480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 102536, 102526, 102502, 102458, 102388, 102286, 102146?\n\"Answer: -v**3 - v**2 + 102538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Let s(t) = -6*t + 36. Determine -8*l(p) - s(p).\nAnswer: -2*p - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13618*r*x**4 + 10068*r*x**2 wrt x?\nAnswer: 326832*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22580*a**3*x**2 + a**3 - 4653*a**2*x**3 - 7584*a**2*x - 676*a wrt x?\nAnswer: 45160*a**3 - 27918*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {w: 5, j: 4, p: 5, q: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h + 25. Let v be y(-5). Solve -2*f + v*a + a + 13 = 0, -15 = 5*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = -4*j. Suppose 321*q + 720 = 326*q. Let d = 148 - q. Put -2, -1, j, d in decreasing order.\nAnswer: d, j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28896 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5121000 rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) -0.101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7956 - 7404. What is the greatest common divisor of 156 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 7*x - 24. Let y be l(8). Let k = 247 - y. Put 3, -1, k, 5 in ascending order.\nAnswer: -1, 3, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 5. Let d be z(-5). Let b(f) = f - 8. Let n be b(d). Let k be (-1)\/5 - n\/(-10). Is k > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 163, 330, 541, 796?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-54))\/(3\/(-9)))\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554646, -554645, -554644, -554643?\nAnswer: -554642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184658936 is divided by 186.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634876491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -64183 smaller than -64245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1943 - 5*a**2 + 4*a**2 - 119*a - 4*a**2 - 1943.\nAnswer: -5*a**2 - 119*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-8)*(-1 + -3). Suppose -3*r + 55 = -d*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/5 + 16\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*k - 5 + 17, -3*u = -3*k - 18. Let a(t) = t - 3 + u - 3. Let z(w) = 1. Let j(q) = a(q) - 4*z(q). Differentiate j(s) with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0 + 0 + m) - 28*m - 3*m + 0*m + 5*m - m - 3*m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/85 and ((-102)\/20)\/(4239\/(-628)).\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228376 divided by 57094\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ad80 (base 15) in base 14?\nAnswer: -38445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556*l**3 + 159*l**2 + 12037*l**3 - 170*l**2.\nAnswer: 13593*l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(624)\/sqrt(108) + sqrt(468)*-2)\/(sqrt(48)\/(sqrt(24)\/sqrt(2)) + sqrt(144)*-4 + sqrt(4))*5.\nAnswer: 35*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-110))\/(6\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11))**(6\/5)\/((r**19\/r)\/((r*r*r*r\/(r*(r\/(r\/(r\/((r*r**(-1\/5))\/r))))\/r*r*r))\/r)) assuming r is positive.\nAnswer: r**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1581 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - -1.8. Which is the nearest to d? (a) 1\/9 (b) -3 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -415*w**2 - 17*w + 616. Let m(a) = 138*a**2 + 6*a - 206. Let q(d) = -11*m(d) - 4*v(d). Differentiate q(r) wrt r.\nAnswer: 284*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32464109, 129856425, 292176951, 519425687?\n\"Answer: 32464105*w**2 + w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*q**3 - 2*f*q - 36983*f + 626*q**3 - 19*q**2 - 1 with respect to f.\nAnswer: 2*q**3 - 2*q - 36983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 1\/2 (b) 0.1 (c) -1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32252 (b) 5 (c) 314 (d) 1\/2 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1290 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21920 and 1007200.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(-38) - (-2)\/(-6). Let q(j) be the first derivative of -1\/3*j**2 + 0*j**3 - 1\/15*j**5 + 1\/3*j + b*j**4 + 1. Let q(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v + 6. Suppose x = 7*x + 12. Let f = x - -5. What is the units digit of t(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 11 = -7*d. Let x = -11.06 - -0.06. Let g = x + 7. Sort 0.5, d, g in decreasing order.\nAnswer: d, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - -98 - (-39444)\/(-2470).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*u + 313 = 0, -2*r - u + 35 = -120. What is the highest common divisor of r and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggkkkkkkgkk. What is prob of picking 2 k?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45653 divided by -45653.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + (11 - 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 38 - 585\/36.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1216))**2 + -4 + 0.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {e: 7, f: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217443 and 9?\nAnswer: 652329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 0 in descending order.\nAnswer: 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 802 + -801. Let a = -3 + 7. Let u = a + -2. Which is bigger: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - -3)) + (13 - 5) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.025 + -0.125. Which is the third biggest value? (a) 5 (b) -2\/9 (c) 3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/(-63)*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8030805 a multiple of 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.341 - -0.059. Let p = 0.4 - f. Let r = 131 - 131. What is the second biggest value in r, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0*a**2 - 61 + 17\/12*a**4 + 0*a**3 - 2*a. Let u(n) = 6*n**2. What is z(u(c))?\nAnswer: 612*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134886 is divided by 22444.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -355\/6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15 = z. Let f(x) = -2*x**2 - x + 4. Let y be f(0). Which is the nearest to -4? (a) -4\/3 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 8*t + 77. Calculate o(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 4*s**2 - 1904*s - 2455*s - 2747*s + s**3 in the form t*s**2 + d + p*s + i*s**3 and give p.\nAnswer: -7106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 62\/(-64))\/((-2729)\/10916)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 1)*(3*w**2 - w**2 - 3*w**2 + (4*w - 3*w + w)*(-2*w - 2*w + 2*w) + 5*w**2 - 2*w**2 + 0*w**2) + 81*w**2 + 128*w**2 - w**2 - 47*w**2.\nAnswer: 171*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**6\/9 - 2*d**5\/15 - 3*d**4\/2 - 22*d**3\/9 - 4*d**2\/3 - 46. Factor s(h).\nAnswer: 2*h*(h - 4)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) -0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 4*(sqrt(13) - (sqrt(13) + sqrt(39)\/sqrt(3))))**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t + 4*l - 48, -2*l - 8 = 0. Let p(x) = -22*x + 6. Let a(i) = 7*i - 2. Determine t*a(w) + 5*p(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:42 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86503735 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 477 + -56. What are the prime factors of k?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47952 times 9?\nAnswer: -431568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5722505, -11445034, -17167563, -22890092?\nAnswer: -28612621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134389\/7 + -19198. What is the third smallest value in -3.9, g, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 33 - 12)*(4*f - f - 2*f) + (-2*f + 0*f + 4*f)*(2 + 0 - 1) - 1 - f + 1.\nAnswer: -87*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 251.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 4*y**2 - 6*y. Let g(w) = -w**3 + w**2 + w. Suppose -3*s + 2 = b, 2*s - 2*b - 3 = s. What is s*h(x) + 3*g(x)?\nAnswer: 2*x**3 - x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13805572951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*-6*sqrt(5)*2.\nAnswer: 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/2)\/((-3)\/136). Let f = l + 229. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/6 - b**3\/6 + 5*b. Let q be y(4). Suppose -i = -q - 91. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48116 (base 9) in base 12?\nAnswer: -16750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289212 divided by -22?\nAnswer: -13146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45543762 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a - 9. Suppose a*n = -1 + 10. Let p be -2 + 1*(-2 - -2). Sort p, n, -1.\nAnswer: p, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 43*x**2 + 2*x - 1. What are the prime factors of m(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868814 is divided by 28402?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*3*sqrt(136) + 5*sqrt(136)*1)\/(-4*(sqrt(288) + -2*sqrt(288)*1 - sqrt(288) - sqrt(288) - sqrt(288))).\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420 is divided by 711.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 240708063007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 2\/7, -325, 1, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2155460 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 6*z + 2. Suppose -2*k = -j - 49, -24 + 68 = -j + 3*k. Let r = j - -56. What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*s + 176*s - 19592 - 5752 = 0 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/((sqrt(54)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in -2, -219, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0282 from -221601201368.\nAnswer: -221601201368.0282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 501?\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*t + 106 + 878. Factor -2\/3*w**5 - 26*w**3 + 10*w**4 - t*w + 0 + 74\/3*w**2.\nAnswer: -2*w*(w - 12)*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 21 = -35*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3380, 3026, 2672?\nAnswer: 2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -3 - ((-29 - 15) + 24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 46. Let y = 28 + t. Solve 15 = y*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 55*x**2 - 1. Let p(k) = 1. Let v(j) = -55*j**2 + 4. Let m(u) = 3*p(u) - v(u). Let a(d) = -3*g(d) + 4*m(d). List the prime factors of a(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580766338 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1195\/239*1992\/(-120)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*o - 448. Find the common denominator of -81\/8 and (-54)\/10*o\/48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjcjsjccjs. Give prob of picking 1 j, 1 s, and 1 c.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1))\/n)**(1\/42))**(2\/35)*(n\/n**(2\/5))**(-2\/45)\/((n\/n**(-5))\/(n\/(n**3\/n))) assuming n is positive.\nAnswer: n**(-8606\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**30*t*t*t\/((t**(-1\/5)*t)\/t) assuming t is positive.\nAnswer: t**(166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 3}. What is prob of sequence dd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16545967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7729 is divided by 549.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*-6*(-2 + (0 + sqrt(567) + -2)**2))*3.\nAnswer: -3240*sqrt(7) + 51198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let v(x) = -x**2 + 7*x - 3. Let s be v(7). Give o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (1 + -4 - (22 - 33))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800075 is divided by 2768.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146597 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + (-3 - -3) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**6*z)\/((z**(5\/3)*z)\/z))\/((z\/((z**(-1\/3)\/z*z)\/z))\/z**(1\/8)) assuming z is positive.\nAnswer: z**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -564 and -2.\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 9*i**2 + 11*i + 7. Let y = 20 + -30. Give t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 u when four letters picked without replacement from hhuuuuhhuuhhhuuhuhu?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -60 (b) 1 (c) 1\/4 (d) -0.1 (e) -968\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w + 0*w**3 + 1\/40*w**6 + 0 + 0*w**4 + 1\/10*w**5 - 6*w**2. Find the third derivative of m(r) wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 5. Let s be x(6). Suppose r - 3 = -s. Solve r*u + 15 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3676 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 832193808 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-4)*32\/(-24). Suppose 5*p = 4*p + w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 428\/(-6) - (0 + 0). Suppose o = -5*p + 122 - 37, -3*o = 4*p - 222. Let k = y + o. Which is the third biggest value? (a) -1 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23035954*r**2 - 18972420 wrt r?\nAnswer: 46071908*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*l**2 + 926*l**2 + 391*l + 142*l + 2 - 2766*l**2 + 919*l**2.\nAnswer: 2*l**2 + 533*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 10. Suppose 3*j + 3*k = 6, -5*j + 9 + 1 = -3*k. Which is the third biggest value? (a) j (b) -14 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 5. Let b(r) = -2*r - 8. Let h be b(-7). Let y(m) = -2*m**3 - 6*m**2 - 2*m - 3. What is the remainder when y(-4) is divided by t(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30989.8*-0.5.\nAnswer: -15494.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 43*w**4\/12 - w**2\/2 - 428*w. What is v(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6597 and 3665?\nAnswer: 32985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let o(t) = 2390*t**2 + 44490 - 44490. Determine l(o(z)).\nAnswer: 11424200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 - 73 = 22*u + 217 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3000 divided by -4\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bskn when four letters picked without replacement from ksbnsqke?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-15) - (-152)\/10. Suppose -q - 9 = 5*z. Let m = 1806 - 1808. Which is the closest to -1\/3? (a) z (b) -0.01 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3423.999, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 4*f + f + (0 - f + 0)*(-8 - 15 - 7) + (3 - 3 + 2*f)*(-4 + 5 - 4))*(-f + 1 - 1) as b + o*f + h*f**2 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -235, -74, -2, -12.\nAnswer: -235, -74, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597072 is divided by 940.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0064, 1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185133893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/9*(-2)\/4. Which is the closest to 0.1? (a) p (b) 5 (c) 9.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 61*x**3 + x**2 + x + 3. Is o(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/13 - 194*n**4\/13 - 42632*n**3\/13 + 42824*n**2\/13 = 0.\nAnswer: -106, 0, 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3193*y**2. Let u(g) = 449*g**2. Give j(u(m)).\nAnswer: -643711993*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -0.09. Let g = 0.54 + y. Let k = 0.2 + 0.8. Which is the nearest to k? (a) 2\/11 (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*a*m*w + 3*a*m - 5*m*w + 10*m wrt a.\nAnswer: -42*m*w + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 1. Let k(t) = 5*t - 3. Let x(h) = 3*a(h) + k(h). Let c = -25 - -26. Give x(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 34*p**2 + 12523*p - 63445. Give a(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-28) - (1 - (-944)\/(-14)). Let b = -7 + u. Calculate the remainder when b is divided by (-4)\/(-16) - (-83)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -0.6 (c) 162\/67 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211 + -304.16. What is j rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/8 + 1129*h\/2 + 4497939\/8.\nAnswer: (h + 1483)*(h + 3033)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2976, -3089, -3202, -3315, -3428?\n\"Answer: -113*l - 2863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/5, -1, 1, 5, -10.601 in ascending order.\nAnswer: -10.601, -1, -0.2, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189072 by 3.\nAnswer: 63024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 100a6c?\nAnswer: -100a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b + 10. Let o(m) = -15*m + 20. Let v(f) = 13*a(f) - 6*o(f). Calculate v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*s = -460*s - 130 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 53?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 12 + 7)*(-14*m**4 - 3 + 5 + 21 + 16*m**4 + 24*m**4).\nAnswer: -416*m**4 - 368","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 30)*(-6*k + k + 3*k)*(34 - 18 - 31).\nAnswer: -720*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from {y: 3, i: 3, z: 2, m: 5, r: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 4. Let t be i(-7). Let u be (-6)\/(-3)*(1 + t). List the prime factors of ((-18)\/(-21))\/(u\/(-56)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:57 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -68 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -166, 14, 592, 1766, 3734, 6694?\n\"Answer: 33*l**3 + l**2 - 54*l - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106246*y**2 - 23*y - 106256*y**2 + 9*y + 14*y.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-24)\/y*y*y*y*y*y*y*y*y*y))\/y)\/((y\/y**37)\/y))\/(y**(-2\/19)*y**(2\/13)) assuming y is positive.\nAnswer: y**(12832\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.434, 0.2, -1\/14 in decreasing order.\nAnswer: 0.434, 0.2, 0, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*g - 2 = -d, -8 = -4*d + 4*g. Let v be 3*(-1 + 2) + 2. Suppose 8 = 4*j - 0. Solve -v*f = -j*f - d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*g + 58 - 9, 2*t - 47 = -5*g. Let f = g + -7. Solve -5 = f*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-1))\/((-270)\/(-108)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2236 and 344.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 354a934?\nAnswer: 354a938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 14, 1 in increasing order.\nAnswer: -4, -1, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253560*r**3 - 134826*r**2 + 3 wrt r?\nAnswer: -1521360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**2 - 1. Let d(a) = -a**2 + 1. Let f(g) = -12*g**2 - 5. Let w(c) = 3*d(c) + f(c). Calculate 7*n(m) - 4*w(m).\nAnswer: 4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 102. Let z = k + -8. Let j = z + -12. Let r(x) = 3*x - 2. What is r(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 176*i**7\/21 + i**5\/20 - 477*i**4 + 2437*i. What is the third derivative of b(g) wrt g?\nAnswer: 21120*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 5*j + 25*k, 31 = -3*j - 1813*k + 1811*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/672 and -145\/12456?\nAnswer: 348768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0185 and -6487971?\nAnswer: 6487971.0185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5\/(-42) - 54\/324 - (-10644)\/(-84)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2 + 2*z - 5. Let b be f(4). Suppose -b*p + 52 = -p. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 - (-13)\/(-1) - -1. Let j = k - -13. Sort 4, 5, j, 7.\nAnswer: j, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3036 and 36?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1660326.\nAnswer: 6641304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v - 16 = 0. What is the units digit of (v\/6)\/((-7)\/147)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from ggbgbbiiggbi.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y**(-2\/29))\/((y\/y**(-3))\/y**(-1\/5)) assuming y is positive.\nAnswer: y**(-1489\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/18*-134*3\/2. Calculate the common denominator of (16\/64)\/(3\/p) and -29\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 168 = 0, 506*r - 2*i = 508*r + 3*i + 142 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 8 - 19)*(3 + 7 - 5)*(-2*t - 4 + 4) in the form v*t + i and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 1464\/7*v**3 - 147*v**2 - 3*v**4 + 0 - 414\/7*v = 0.\nAnswer: -2\/7, 0, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*h = -120, -5*a + 4*h + 86 = 11. Calculate the remainder when a is divided by 0 + 0 - (-2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45421020 and 212496.\nAnswer: 181684080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38425029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 3*p + 6, 18142*p = -3*i + 18144*p + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -444 - -3113\/7. Let v = 266 + -22. Calculate the common denominator of v\/40 - 3\/(-6) and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 12. Let z(i) = -i**3 - 16*i**2 - i - 8. Let o be z(-16). Give a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkn when three letters picked without replacement from {n: 1, k: 1, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-15)\/(-880)). Suppose 4*d - t = -28. Let n be (-3)\/d - (-1)\/(-5). Which is the third smallest value? (a) 3 (b) -0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(252) - (-1 + sqrt(252))*-5) - (5 + (sqrt(252) + (sqrt(252) - (sqrt(252) + (sqrt(252) - (1 + sqrt(252)) - sqrt(252)) + sqrt(252))))*-3))**2.\nAnswer: -2340*sqrt(7) + 56869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.8. Let q = -10.92 - -10. Let o = -0.92 - q. What is the nearest to p in o, -1, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*b**3*v**4 - 682*b**3*v**2 + b**3 + 137*b**2 + 29 wrt v.\nAnswer: 48*b**3*v**3 - 1364*b**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/21*((-510)\/12 - 5) and 55\/58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (5 - -9)) + (-4 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/85))**(-4\/3))**(-28) assuming t is positive.\nAnswer: t**(-224\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933 equal to -38560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -18, -79, -196, -387, -670, -1063, -1584?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8413748641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/5, 19\/1426, -3?\nAnswer: 19\/1426","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.088438 * 0.018.\nAnswer: 0.001591884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.905905 grams to micrograms.\nAnswer: 905905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746193 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*r = 2, 22*q - 21*q + r = 0. Suppose 0 = 5*z - 3*n - 35, 0*z - 4*z + 3*n = -31. Solve -3*a + q*v = -2, z*a + 4*v + 0 = 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 - 2*k**2 - 2*k. Suppose -2*q + 4 = 0, 2*q + 0*q = -3*p + 22. Let n(r) = r**3 - r**2. Let y(t) = p*n(t) - l(t). List the prime factors of y(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 296*h - 1. Let n(o) = o**2. What is n(r(j))?\nAnswer: 87616*j**2 - 592*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, -1, -4, 5181.\nAnswer: -4, -3, -2, -1, 5, 5181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -344027\/73 or -4714?\nAnswer: -344027\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 67*w**2 - 6. Let z be x(2). Suppose 9*l - 3545 - z = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44247*i**6 + 2*i**2 - i - 41291 wrt i.\nAnswer: 5309640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1966133.79ms to days.\nAnswer: 0.022756178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 p when three letters picked without replacement from pjxqjqprpqjrpqppq.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 732, 738, -1.\nAnswer: -1, 732, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 6, 21, 1\/20, -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 7:29 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346399 to the power of 1\/2, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 38829*o + 38816*o - 10 - 3*o**2 - 8. Give p(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*-5*(((sqrt(363) + 3*sqrt(363))**2 + -3 - sqrt(363)) + (sqrt(363) - (1*(sqrt(363) - (1*sqrt(363) + sqrt(363))))**2) + sqrt(363))*-1.\nAnswer: 220*sqrt(3) + 108840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 5. Let s be n(-7). Suppose 2*d = 5*d - 54. Suppose -s*o + 102 = d. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 5*i - 9. Determine f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nodttoitood. Give prob of sequence iidt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435*n = -781*n - 798*n + 4320 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (813*u**2 + 814433 - 814433)*(-u**3 - 3*u**2 + 3*u**2).\nAnswer: -813*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 k when four letters picked without replacement from kkwkwk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -24 + 40 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.3 (c) -9814 (d) 0.09 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4347, -4348, -4349, -4350?\nAnswer: -4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15746144971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/2, 99, -0.3 in descending order.\nAnswer: 99, -0.1, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 + -491. Is (-38)\/y + 39949\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((3 + -17 - 3) + 44 + -42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 600022770 a multiple of 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/108)\/((-5)\/(-45)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*j = -39, -2*g + 3*j + 6 + 2 = 0. Let w be 12 - (4\/(-50) - 304\/(-50)). Suppose g*l = w*l. Solve l = n - 3*n + 5*o - 1, -2*n + 4*o = 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -13. Solve 0 = -r - 2*l - 3, 3 = p*r - 3*l - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/sqrt(4)) + 0.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 (base 8) in base 2?\nAnswer: 11110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 3935*g**2 - 3805312*g + 129896448.\nAnswer: -(g - 33)*(g + 1984)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f4c7 - ae?\nAnswer: -4f575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1163\/116 or 11?\nAnswer: 1163\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 4*a + 2. Let k be (-186)\/(-31) - (2 + 1 + -1). What is l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Suppose 40 = 3*i - 2*i. Suppose 0 = 5*m - 5*c - i, 4*m - 35 = -c + f*c. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3101857 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41847 (base 10) in base 13?\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 11 - (-43)\/(-1). Let l = -6 - u. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + (-2 - -2). Let c be ((-6)\/(-8))\/(6\/16). Let x be (c + -5)*(-2)\/(-10). Is x at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 280876987 or 280876982?\nAnswer: 280876987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s**2 - 5*s - 4. Let i = -11 - -8. Let k be w(i). Let y be (-3)\/(-6) + k\/4. What is y rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1202 - 1140. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 59869*d**2 - 59868*d.\nAnswer: -d*(d - 59868)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3562531 (base 7) to base 5.\nAnswer: -103433331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 190\/(-20)*-9*(16\/(-9) - -2). Let p(q) = -4*q**3 + 6*q**2 - 2*q + 5. Let c be p(-5). Calculate the greatest common factor of c and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/255 and 69\/12069830?\nAnswer: 36209490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51491511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/(10\/70)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*j = -180, -2*j + 54 - 162 = 3*o. Let l(w) = -6*w - 191. Calculate the remainder when 898 is divided by l(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 1)\/(19416\/(-1140) + 17). What is the greatest common divisor of 152 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -0.2 (c) 1\/4 (d) -15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(-8)))\/(h*h\/h**8*h))**(1\/12)\/((h*h**(2\/5)\/h*h)**(-47))**(-26) assuming h is positive.\nAnswer: h**(-51329\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -3784.\nAnswer: 17\/1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87153051 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4297 and 12.\nAnswer: 5.1564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9559483 a multiple of 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 902 in 2, -3\/10, 2\/7, -4\/3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 66 = 36*j, -423601*v - 8 = 2*j - 423602*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/7959874 and 4\/306149.\nAnswer: 7959874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14\/13 + -41\/26. Sort 0.5, 0.16, s in descending order.\nAnswer: 0.5, 0.16, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let r(g) = -11*g + 16. Let y(v) = r(v) + 3*z(v). What is the units digit of y(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434 (base 15) to base 12.\nAnswer: -671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 4*j**2 + j + 2. Let y be u(4). Suppose g + 195 = y*g. Suppose 0 = -2*x - o + 30, 2*o - g = -3*x + 6. Solve 0*b + x = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -30) + (0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -560334?\nAnswer: 560362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f - 5*w = -780, -3*w = -18. Put f, -1, 5 in decreasing order.\nAnswer: 5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14149720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1126 + -1602. Let s be 3\/9 + l\/(-12). What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -844 - -843. Put 5, 0, j, -81 in decreasing order.\nAnswer: 5, 0, j, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 2. Let j be s(9). Suppose -4*o + 5*a = -40, 2*o + 5*a + 55 = j*o. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.29347232 * 2\nAnswer: 20.58694464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 46, 2, 12 in descending order.\nAnswer: 46, 12, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 0)\/(-1 - -2). Let x be i + -22 + (-2)\/1. Let b = x + 18. Put 5, -2, b in decreasing order.\nAnswer: 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**0*x**(-25)*x\/(x*x\/(x**(-8)*x))*x*x**(-24) assuming x is positive.\nAnswer: x**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r**5))\/r*r*r\/(r**(-1\/6)*r)*r*r*r)\/((r**(-1\/4)\/r)\/(r**6*r)))\/((r**0)**(3\/44)*r\/r**(-8)*r**(-2\/11)) assuming r is positive.\nAnswer: r**(-449\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1270 - 1118. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10542 and 623406.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 791546 (base 10) to base 11\nAnswer: 4a0778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - -1*sqrt(204)*-4))\/((sqrt(12) - (sqrt(12) + ((sqrt(108) + sqrt(108)*3)\/sqrt(9) - sqrt(12)))) + sqrt(12))*3.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 6*s)*(-1086*s**4 + 84*s**3 - 87*s**3 + 877*s**4).\nAnswer: -418*s**5 - 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10*o + 14*o = -22, 2*o = -8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -102, -161, -222, -285, -350, -417?\n\"Answer: -z**2 - 54*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*v + 4. Solve 2*l + h = 7, 2*h + 8 = v*l + h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70217, 561681, 1895611, 4493225, 8775741?\nAnswer: 15164377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035206946 rounded to five dps?\nAnswer: 0.03521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -12, m + 0*k = -2*k - 9. Let d be (-30)\/25*(-10)\/3. Sort d, m, 5 in ascending order.\nAnswer: m, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - (sqrt(170) + sqrt(170)*-2 + sqrt(170)) - sqrt(170) - sqrt(170)))*1 + sqrt(170) + sqrt(170))\/(sqrt(90)*-6).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 9*r**2 + 13*r - 26. Is i(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. Let y(x) = -x**3 - x**2 + 1. Let v be y(c). Let b = 63.7 - 64. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 111, 242, 425, 660, 947?\nAnswer: 1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/10 + (-42)\/(-30). What is the common denominator of x + 2 + (-2076)\/360 and 141\/(-20)*4\/18?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qms when three letters picked without replacement from cfffcfqqmfsqcffsfs?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {j: 2, t: 3, a: 6, v: 2, k: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-60)*-4)\/((-42)\/15)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/189269 or 0?\nAnswer: 2\/189269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a minute?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + b16?\nAnswer: b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -16. Let q(k) = 2*k - 8. Let u be q(13). Let s be 660\/u + (-4)\/6. Calculate the highest common factor of s and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-63) - (2 - (3 + -1))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.508 times 30\nAnswer: 15.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-6)\/495*3\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + (-12 - -24) + 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 7*f**2 - 8*f - 3. Let n be o(8). Suppose v = -0*d + 4*d + 21, 0 = d - 5*v + 10. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.7 and -119.\nAnswer: -559.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7085081 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, q: 1}. What is prob of sequence bu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjp when three letters picked without replacement from papjjq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944986 is divided by 1458.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12363, -24727, -37089, -49449?\n\"Answer: g**2 - 12367*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 715 - 418. Suppose 10*a - i = 7*a. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 13*o + o + 11 + 10*o - 1097*o**2.\nAnswer: -1097*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/2)*m)\/((m**(4\/5)\/m)\/m))**(-1\/28) assuming m is positive.\nAnswer: m**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1545010, 1545558, 1546106, 1546654, 1547202, 1547750?\n\"Answer: 548*b + 1544462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1967 - 1968. What is the third smallest value in 74, 7, s?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 15) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1288 and 8.\nAnswer: -1.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1330331 (base 4) to base 15\nAnswer: -2582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t*t**(-3)*t)\/(t**(-4)\/(t**(6\/7)\/t)) assuming t is positive.\nAnswer: t**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3 - -7) + 1 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 8*i**2 + 7*i - 7. Suppose -10*h + 207 = 267. Calculate c(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 4 = 5*w, -3*w - 4*m + 16 = 0. Suppose 0 = -3*c + 2*n + 527992, w = -5*c - 3*n - 2*n + 880020. What is c rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1268*q - 792*q - 3332 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/35)\/((-2)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(-1\/37)\/(d*d**0)**(-41) assuming d is positive.\nAnswer: d**(3035\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 13086 = 666. Calculate the highest common factor of 92 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1001785218 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, -3, 502, -132.\nAnswer: -132, -3, -1, 32, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-6) + 1\/2. Suppose -1 - 4 = -i*a. Suppose -16 = -3*s - 5*f, 9 + 1 = 5*f. Solve -s*h - 7 = a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 660.1*-365.39\nAnswer: -241193.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let a(x) = -11*x + 1. Let d(m) = 2*a(m) - 18*o(m). What is the tens digit of d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - 17*m**3 - 8*m**3)*(-m + 4*m - m)*(2 - 1 + 0).\nAnswer: -58*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 414\/(-2277) - (0 - 174\/(-11)). Let u(x) = x**3 + 15*x**2 - 10*x - 12. What is u(g)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*m)*(0*m**3 + 3*m**4 + 0*m**3) + (2*m**3 - m**2 + 1 - 1)*(-3*m**2 + m**2 + m**2).\nAnswer: 10*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69495269.\nAnswer: 17, 4087957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -546)*(-24)\/(-20). Suppose 4*v = -j + q, -3*v - 3*j + 495 = -0*j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 9106.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - p = 49, -5*u - 3*p = 84 - 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -4 - -3) + (43 - 13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333469565*n = 333469663*n + 8036 for n.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 102. Suppose -2*b = 5*c - 48, b = -c + 3*c + 6. Let a = 22 - b. Calculate the remainder when g is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let r(h) = 2*h**3 + h**2 - 4*h - 3. Determine r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*p**3 + 238*p**3 - 13*p**3 - 126*p**3 + 28*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15082*r*y*z**3 + 5667*r*y*z - 9*y*z**3 - y*z**2 wrt z.\nAnswer: -90492*r*y - 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 42\/15)*-2. Let n = 51801.78 - 51802. Which is the nearest to 1? (a) k (b) n (c) 2\/7 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 586*b**4 + 2*b**3*h + 42*b**2*h - b*h wrt b?\nAnswer: 14064*b + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 802 = 3*r, 2*r - 428 = -d + 109. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-5)\/1)\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1925*f + 23 + 2*f**3 + 1925*f.\nAnswer: 2*f**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41742 is divided by 195?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*(-30)\/20. Suppose 0 = -0*b - p*b + 16. Solve 2*n - y + 0 = b, -2*n - 4*y = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1. Let o(x) = -5*x + 2. Let j(d) = o(d) - s(d). What is j(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6298 divided by 41\nAnswer: -6298\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**2 + 0*p + 0*p**5 + 0 - 1\/2*p**3 + 0*p**4 - 1\/120*p**6. What is the first derivative of j(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 50. Does 4 divide (0 - d) + -1 - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(28\/40*(-36)\/(-693))\/((-686)\/1715)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/5712 and -69\/20944.\nAnswer: 62832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52993 is divided by 52989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7107\/2645 + (-19)\/380*52 - (-4044)\/46\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*s**(1\/20))*s)\/s*s**24*s)\/((s**(-2\/17)*s*s)\/s)**(2\/67) assuming s is positive.\nAnswer: s**(613321\/22780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let g(a) = a**2 - 12*a - 3. Let f(x) = 23*x**2 - 240*x - 59. Let t(u) = 3*f(u) - 60*g(u). Calculate b(t(m)).\nAnswer: -9*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqcfcpctcccmcqc. What is prob of sequence fcm?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 < 426650333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3813810503 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60618 + -8?\nAnswer: -60627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**4*i**3 + 4*g**4*i + 8*g**3*i**2 - 3*g**2*i**2 - g**2*i + 178*g*i**3 wrt g.\nAnswer: -144*g*i**3 + 96*g*i + 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 5. Let w = o - -5.000003. What is w rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -14 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -10*m + n - 11, -4*m - 5*n = -1 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 - 4*g - 10. Let x(a) = -a - 1. Let o(r) = -3*r - 15. Let p(m) = o(m) - 15*x(m). Determine p(f(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 571838.6ug?\nAnswer: 0.0005718386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 100 = -3*g. Suppose 0 = -2*t - 11*t + 1261. Calculate the remainder when t is divided by g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 2732812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168587429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*-2*sqrt(15))\/(sqrt(33)\/sqrt(11)*5).\nAnswer: -5 + 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28524012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 3649?\nAnswer: 32841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -w. Suppose -4*t + 1 = -s, s = 3*t + 5*s + w. Which is bigger: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 519 + -517. Suppose -g*j + 2366 = 3*k, 4*k = 5*j + 2300 + 824. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -17*k**4\/24 - 7*k**2\/2 - 4*k. Let q(x) be the first derivative of j(x). Let b(p) = -4*p. Calculate -18*b(n) + 4*q(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d + 45. Let n be t(9). Suppose 61 = -0*g - g. Let m = g - n. Solve -10 = m*y - 0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/5)\/(h*(h*(h*h*h*h*h**(1\/11)*h)\/h)\/h)*(h\/(h**3*h))\/((h**(-5)\/h*h*h)\/h) assuming h is positive.\nAnswer: h**(-126\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4177 - 4125. Solve 0 = i + 3*a + 3, 0 = -57*i + d*i - 4*a + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**4 - 32*f**3*t**2 + 55*f**2*t**2 wrt f?\nAnswer: -120*f - 192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*h + 2 = 0, -13*h + 12*h + 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-80))\/1 + 4. Factor -21\/4*f**2 + c*f + 3\/2*f**3 + 0.\nAnswer: 3*f*(f - 2)*(2*f - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-90))\/((-204)\/(-90)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 14*y - 28. Give x(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 389652945?\nAnswer: 389652950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2, -22, -23312 in descending order.\nAnswer: 4, -1, -2, -22, -23312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - -1*sqrt(2299))**2*-4.\nAnswer: -36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1242\/7 + 177. Which is the nearest to 3? (a) m (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -0.2 (b) 1\/2 (c) 1753314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 58705?\nAnswer: 58697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147133.1t to micrograms.\nAnswer: 147133100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255139\/1608 + 476\/3. Let n = o + 275\/3752. Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3498 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 7:15 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 105, 139, 171, 201, 229, 255?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 69*a - 68. Determine d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 46 = 0. What is the remainder when r is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let j(q) = q**3 - 6*q**2 + 2. Let h be j(6). Let o be i(h). Suppose -40*y = -112 - 8. Solve g + y = o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n - 8 + 3 - n**3 + 9*n**2 - 1. Let t be r(8). Solve -4*y + 9 = -j, -3*j + 4*y - 29 = t*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b\/((b\/b**(-1\/6))\/b)*b))**(4\/13))**(10\/11) assuming b is positive.\nAnswer: b**(140\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11112860.\nAnswer: 2, 5, 11, 50513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 - 18*w**2\/7 - 46*w\/7 - 30\/7.\nAnswer: -2*(w + 1)*(w + 3)*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {p: 5, v: 2, d: 5, a: 1, c: 3, u: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93\/14 - -13\/2. Suppose -4*m + 18 = -3*b, 3*m - 2*b = -4*b + 5. Let w be ((-3)\/18)\/(m\/12). What is the closest to 1 in 3, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/((sqrt(8)*-1)\/sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 290745672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2138598 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -42*b. Let f(s) = 6*s - 184. Let i(n) = -n + 30. Let q(d) = 2*f(d) + 13*i(d). What is q(l(p))?\nAnswer: 42*p + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/19)*t*t**18*t**24\/t*(t\/(t*t*t\/(t**(-2\/7)*t)))\/t assuming t is positive.\nAnswer: t**(5268\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1592*m**2 - 20*m**3 + 18*m**3 + 1 - 1 + 1321*m**2 to the form d*m**3 + p*m + w + q*m**2 and give q.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 - -76. Let k = g - -62. Suppose f = -k*f + 210. Calculate the highest common divisor of f and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203382029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/73040 and -119\/1992.\nAnswer: 219120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 18\/7, 1\/6, -5\/3, -2.04, -7\/4, -1.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -16.07. Let g = y + 0.03. What is the nearest to g in -1\/6, 0.5, -2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59.4 in 0.2, -327, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12527\/35 - -11276257\/31535. Let m = -24\/53 - n. Let r be (-4)\/(-2) - 15\/7. What is the closest to m in 1, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7746258203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94.45582 * -0.1.\nAnswer: -9.445582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64033 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 37*f**2 - 10*f - 9. Give w(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526 - 543 + 1073 - 14*q**2.\nAnswer: -14*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*z**4 - 39 + 2*z**3 - 54 + 89 in the form v + g*z**4 + d*z**2 + k*z + u*z**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -29. Let c(n) = -17 - 12 - n + y. Let o(v) = 1. Give -3*c(q) + 12*o(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 2, f: 4, v: 2, q: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - 0.12. Let n = 0.47 - r. Let f = 0 + n. Which is the nearest to 0? (a) 3 (b) -5\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.9162 and 19029.\nAnswer: 19033.9162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9112.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21500152 (base 6) in base 15?\nAnswer: cb3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 5, 4, 2 in ascending order.\nAnswer: -35, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**4 + 50*z**3 + 171*z**2 + 363*z + 213. Let x(m) = -10*m**4 - 56*m**3 - 170*m**2 - 364*m - 212. Let y(s) = 4*g(s) + 3*x(s). Factor y(u).\nAnswer: 2*(u + 1)*(u + 3)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**12\/q**(1\/5)*((q**11*q)\/q*q)**(-2\/47) assuming q is positive.\nAnswer: q**(2653\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - 0.2. Let l = h + 4. Let f be 1\/4 - (1155\/100)\/(-21). What is the nearest to 0 in f, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*2\/(-18)*-3. What is the first derivative of 2*n**2 - n**a - 3*n**2 + 17 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1 + -2*sqrt(700) - -2*(1 + sqrt(700)))*-1)*4*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.538 + 8.142. Let d = -8.7 + t. Which is the nearest to 0? (a) -0.2 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3603723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310\/8515*1*39?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 381732 and 520.\nAnswer: 3817320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.017 + 64.983. Let n = 65.3 - r. Which is the smallest value? (a) 0 (b) 2\/11 (c) 3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-10)\/6)*861\/(-156). Let c = v - -23\/6. Suppose 0 - c*i**3 - 4\/13*i - 6\/13*i**2 = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, 1, -2\/65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 v, and 1 d when four letters picked without replacement from hddvvvhvh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**4\/4 + 4*b**3\/3 - b**2\/2 + 5*b - 50. Let m be h(-4). Solve -m*x + 11*x + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhllllhlhlllhlllll. Give prob of sequence hhh.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931*l**3 - 5 + 1 + 2809*l**3.\nAnswer: 878*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -37, -4 in increasing order.\nAnswer: -37, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)*(-3)\/(-6). Let k be (p + 1 - -2)*1. Suppose 3 = u - k. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 13 = -3. What is the least common multiple of g and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 42*o + 66. Let x be b(43). Suppose 0 = -3*a + 50 - x. Solve -a*h = -10*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -88d?\nAnswer: 88f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 42. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -13, 0, 27, 68, 123, 192?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l + 10*l - 17979 = 0. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73623.2 kilograms in tonnes?\nAnswer: 73.6232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 122212121010202?\nAnswer: -122212121010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 0*b**2 + 8*b**2. Let d(m) be the second derivative of 0*m**3 + 39*m + 1\/6*m**4 + 0*m**2 + 0. Determine y(d(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 81 - 1. Calculate the greatest common divisor of a and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l - 6. Calculate the remainder when g(11) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from ooqqqvovoqooqqq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*v**2 + 10*v - v**4 - 16*v**2 - 4 - 10*v**2 in the form p*v + y*v**2 + k + a*v**3 + q*v**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/40662 and 3\/1334.\nAnswer: 27121554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - u - 9. Calculate t(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1999*m + 1959*m - 136 + 656 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, -6, 4, 23, 3 in descending order.\nAnswer: 23, 4, 3, -4, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1283 (base 9) to base 4\nAnswer: -33012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.43 times 5?\nAnswer: -177.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 19*y - 9. Let p(m) = -2*m**2 + 10*m + 5. Let q(j) = -3*k(j) - 5*p(j). Let o be 51*((-20)\/12 + 2). Let v = -23 + o. Calculate q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 201*g + 610. Give m(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4282 is divided by 116?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1019 + 1019 - 79*q)*(-q**2 + 1 - 1 + (0*q - 5*q + 4*q)*(q - 3*q + 0*q) + 3*q - 3*q + q**2).\nAnswer: -158*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, 1\/24, -1, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.348 nanometers in millimeters?\nAnswer: 0.000328348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -217781 divided by 2\nAnswer: -217781\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g**2 - g + 3. Let t be w(3). Suppose -2*a = -5*h - 60, -2*a + h = 6*h - 20. Let j = t + a. Solve 6*v - j*v + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 30 + 2*g**2 - 2*g**2 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*i + 2*s, -5*i - 542 = -4*s - 506. Put i, 322, 2 in decreasing order.\nAnswer: 322, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j + 2*j)*(0*j + 2*j + 0*j)*(-25*j**2 + 16 - 16).\nAnswer: -200*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 32*o + 10. Let p be 14\/(4*(-4)\/8). Let h(t) = -32*t - 9. Let b(a) = p*h(a) - 6*s(a). Is b(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-3))\/(3\/(-9)). Suppose -v + 2 = -u. Let t be -2 + (-1 - 2)\/(-1). What is the greatest common divisor of t and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -3*m - 2*f + 4*f, 2*m + 341216 - 341261 = -m + 5*f for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -3)*(-3 - -2). Let q be 2 - 4 - (y - 9). Let d = q - -2. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (151 - 151 + 31*l)*(-2*l - l**2 + l + 1 + 0*l**2) in the form k*l + j + w*l**2 + c*l**3 and give w.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*a - 5, 5*a + 0 = -r + 9. Let p be 1*(0 - -1)*11. Is a equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4.63 (b) 0.1 (c) 3\/2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177 - 3064 - 1061 - 4836*i**2 - 3244 wrt i.\nAnswer: -9672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 25277.36.\nAnswer: -25271.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven halves of a hour?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, t: 7, m: 1, k: 2}. What is prob of sequence ftt?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16055*z**2 + z**3 - 315*z**4 - z**3 + 15973*z**2 wrt z.\nAnswer: -7560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(8 + (-60)\/16*(-12)\/(-6))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*i + 20 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 2*p + 4. Let i(m) = -m + 5. Let j be i(0). Suppose -j*w + 21 = -2*w. Let h be 2*-1 + w + -1. What is f(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 740793 and 237.\nAnswer: 58522647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 5760. Let i(f) = m*f - 1920*f - 17*f**2. Let t(r) = -3*r. Determine t(i(h)).\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 251 + 63. Let b = 178 + g. Let q = b + -43. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103389 is divided by 51528?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*r = -9, 0*r - 5*r + 15 = -3*j. Suppose j = -3*v - 2*y + 91329, 27871 - 119215 = -3*v + 3*y. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.1 (c) -0.5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, 237, 627, 1339, 2481, 4161, 6487?\n\"Answer: 18*t**3 - t**2 + 53*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 13*s**2 + 3*s - 4. What are the prime factors of o(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28)\/(-1) - 2830\/(-6)*4002\/23345?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/(12\/(-1152)). Let r be q\/20 + 2\/5. Let k be (-86)\/20 + 2 - r. Is 1 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -742 + 154. Suppose 43*z - 40*z - y = 0. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33823 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i**3\/7 - 207*i**2\/7 + 165*i\/7 - 9\/7 = 0. What is i?\nAnswer: 1\/17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10076*m**5 - 16*m**4 + 114*m**2 + 466*m - 12?\nAnswer: -604560*m**2 - 384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -579792700 divided by 10?\nAnswer: -57979270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.17 + 0.17. Put 2, 0.5, w in ascending order.\nAnswer: w, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/4 - (5 + -7 - -5). Suppose 0 - 6 = -o + 4*w, -4*o + 57 = -5*w. Let g be (2\/3)\/(3\/o). Solve -19 = -v + 5*d, -2*v = -0*v + g*d + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -28*n**3 + 3*n**2 - 24*n. Let c(a) = -10*a**3 + a**2 - 8*a. Calculate 6*b(o) - 17*c(o).\nAnswer: 2*o**3 + o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10791 is divided by 1123.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*p - 222, p + z - 45 = 5*z. Let g = p + -42. Calculate the highest common factor of g and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9092 = -21*n + 1878 + 3499. Put n, -5, 0.5, 5, -2\/7 in decreasing order.\nAnswer: n, 5, 0.5, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -50, -82, -118, -158, -202, -250?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 193.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 + 156 = -2*h. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevceeeee. What is prob of sequence eec?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-4)\/(-12)*3). Is 7 a factor of 6*4*1 + w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.5 and -5?\nAnswer: -62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1177851 - -38872621\/33. Let b = -1392\/11 + y. Find the common denominator of b and -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.01 rounded to the nearest integer?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - 3*o**4 + o**4)*(1 + 2*o + 0*o + 0) + 2*o**5 - 3*o**5 + 7*o**5.\nAnswer: 4*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-4 - -2) + -1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = r, 16*w - 3*r = 14*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*k + 0*k + 5*k - k + 0*k + 6*k + (4*k + 0*k - 3*k)*(-2 + 4 - 4))*(5*k + 1 - 1) to the form p + x*k + r*k**2 and give r.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5585 = 1258*u + 9511 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - b**2 + b - 2. Let y(m) be the first derivative of -m**3\/3 + m**2\/2 - m + 1. Let v(a) = y(a) - z(a). Differentiate v(w) with respect to w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255615765.\nAnswer: 3, 5, 2749, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/60*(0 - 2). Let f = g - 2\/5. Let l = -0.2 + 0.1. Which is the closest to f? (a) -2\/3 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 12*k**2 - k + 3. Let m(w) = 4*w + 4. Let j be m(-4). Let p be n(j). Calculate the highest common divisor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(4\/(112\/(-6))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789030139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*x, -w + x = 4*w - 14. Suppose -c = -w*c + 44. Calculate the remainder when c is divided by -1 + 14 + 2\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 2*g - 5. Suppose 120 = -10*m + 280. Suppose -4*y = 4*l, 14 = 3*y + 2*l + m. Let v(o) = -2*o**2 - o + 4. Calculate y*x(z) - 3*v(z).\nAnswer: 4*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 31*i**2 + 1. Let m be a(-31). Let q be ((-10)\/3)\/(119\/(-105) + m). Solve 13*b - 18*b = q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8050, 15979, 23908, 31837, 39766, 47695?\n\"Answer: 7929*s + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*t**2*x**3 + t**2 + 125*t + 125259*x**3 wrt t.\nAnswer: -156*t*x**3 + 2*t + 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50045305, 100090627, 150135949?\nAnswer: 200181271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((5 - 32) + (5 - (14 + -5)) - -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 3*h. What is the lowest common multiple of z(-2) and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 402*v - 2769. What is l(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84.96 + 87. Let o = 0.04 - x. Which is the third smallest value? (a) o (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**3\/3 - 3. Let o = 3 + 1. Let x(l) = -o*l + 4*l - 3*l. Give m(x(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2344355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1012 and 19723052?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-6 + 3 + 19) - (1 - 2) - -69.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/9 + 132*y - 2380\/9 = 0. What is y?\nAnswer: -1190, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + a + 1. Let u(t) = -2*t**2 + 4*t - 3. Let j(w) = -17*w - 150. Let f be j(-12). Suppose 0 = -f*b + 59*b - 5. Determine b*u(r) + 3*q(r).\nAnswer: r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 10 - 2)*(4*b + 4*b + 3*b)*(10*b - 9*b - 3*b - 1 + 1 + b + (2 + 2 + 1)*(2*b + 0*b - 4*b)) as d*b**2 + m + o*b and give d.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-4))\/1)\/(1*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6009101 years?\nAnswer: 7.2109212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfffmssknsm. Give prob of picking 1 s and 1 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 3*h**2 + h + 4. Let c(s) = 3*s**3 + 7*s**2 - 3*s - 9. Suppose 4*v = -i + 9, -4*i - 3*v + 5*v = 36. Calculate i*k(o) - 3*c(o).\nAnswer: -2*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306*h**2 - 1006*h**2 - 1085*h**2 - 531*h**2 + h**3 + 229*h**2 to a*h**3 + x*h + p + s*h**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 124514, 124561, 124608?\n\"Answer: 47*p + 124467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -139*p - 20. What is d(1)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 - 3 = 0. What is the second derivative of -6*h + 161*h**u + 5*h**4 - 161*h**3 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j*j\/((j\/(j\/j**(-6)))\/j*j)*j*j))\/j)\/j*(j*j**(-27)\/j)\/j)\/(j**(-2\/35))**49 assuming j is positive.\nAnswer: j**(-191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9528 - -2.4441. Round t to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2251*a**4 + a**3*y - 3*a*y + 2225*a + 3*y wrt a.\nAnswer: 27012*a**2 + 6*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 + 2 + -39*(-6)\/18 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4425053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/14*(1 - 1). Suppose f = -4*a - 0*a + 56. Calculate the common denominator of 57\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4246, -4025, -3814, -3619, -3446, -3301?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/(-48)*(0 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1506034110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*c**2 - 216*c - 243.\nAnswer: -3*(4*c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1082 + -16855983.\nAnswer: -16857065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 7, 4, 1, 0.5, 34, -302?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*r + 1638 = 0, -3*g + 0*r = -4*r - 1638. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -5 (c) 295 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 5, d: 1, p: 1, v: 3}. What is prob of picking 2 a and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:44 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*o - 24 = 0. Let u(n) = n - 1. Let h be u(-1). Let l = 0 + h. Sort l, -3, o in ascending order.\nAnswer: o, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95603922 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 1. Let r(o) = 3*o - 1. Let h(i) = 4*j(i) - 3*r(i). Let w = 10 + -8. Suppose 0 = 2*u - w*d + 4, 2*u + 0*d = -d - 4. Give h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - ((14 - 10) + -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738438 to the power of 1\/2, to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323 - 319. Which is the third biggest value? (a) 36 (b) x (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(30)\/(sqrt(640)*5) + ((sqrt(21) + (sqrt(21) - sqrt(21)*3))*1)\/(6*sqrt(42)\/sqrt(6)))**2.\nAnswer: 289\/4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229046046 by 6.\nAnswer: 38174341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from xuuxuxxxxxxxxxdxd?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*r**5 + 5*r**4 - 4367*r**2.\nAnswer: 2460*r**2 + 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4796 and 1012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 4\/3, -1\/12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + d + 16, -28*m - 5*d - 12 = -31*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 120, 306, 566?\n\"Answer: 37*s**2 + s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48465777597.4 - 117.1.\nAnswer: -48465777714.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -868646?\nAnswer: 86864.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33948790 a multiple of 3122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352)\/128*(-12)\/22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x**2 + 4 - 1 - 5)*(4 + 2*x - 4)*(-1 + 4 - 22).\nAnswer: -76*x**3 + 76*x**2 + 76*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50198044 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -37. What is the third biggest value in -1, -4, 1\/7, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-49)\/588)\/((-2)\/(-10)))\/((-550)\/(-198))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37.423*-46\nAnswer: -1721.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 7*q**2 - 9*q + 8. Let g be r(6). Let o be 390\/12*8\/g. Is (o\/(-4))\/((-1)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 2 (c) 0.3 (d) 2\/15 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 2*w - 11. Let d be x(-5). Solve 3*t + 5*a - 12 = 0, -t + 0*a = d*a - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + p**2 + 3 + 2*p**2 - 2*p**2.\nAnswer: -2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8250 (b) 1 (c) 30 (d) 0.03 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3868.455 millilitres to litres.\nAnswer: 3.868455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let i = 201\/4 - 50. Let q = 0.34 - -0.06. Which is the closest to -0.1? (a) q (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339600.9 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 + 139. Suppose -5*z + 15 = 0, 5*z - 291 = -3*p + 3*z. Calculate the greatest common factor of n and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 739*g**5 - 6*g**2 - 5.\nAnswer: 44340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198\/(-891) - 541950\/(-27)?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13349530 to the nearest integer?\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4880090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**2 + 3*m. What is l(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -291*g**2. Let s(p) = -2793*p. Determine i(s(b)).\nAnswer: -2270047059*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2448))**2*-3 - (sqrt(34) + (sqrt(34) - (sqrt(2176) - (sqrt(2176) + 1*sqrt(2176) + sqrt(2176)) - sqrt(2176))))\/sqrt(2).\nAnswer: -7347 - 98*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*(z**4 - z + z) - z**4 + 0*z**4 + 2*z**4 + (-5 + 4 + 0)*(3*z**4 - 2*z**4 - 2*z**4) to q*z**3 + r + b*z**2 + k*z**4 + t*z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)**(-12\/11))**(1\/30)*v**2\/(v**(1\/4)*v)*v**(-1\/2)*v*v**(-2)*v assuming v is positive.\nAnswer: v**(39\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3885295, -7770568, -11655841, -15541114?\nAnswer: -19426387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580180508 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + 0*j**2 - j**2)*(4 + 262 + 116) to s*j**2 + q*j + i and give s.\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -124*f + 115*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -116775219 plus -2?\nAnswer: -116775221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 790 = -85*g - 1283 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 * 49.842.\nAnswer: 2.840994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -57, -62, -45, 0, 79?\n\"Answer: x**3 + 2*x**2 - 34*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(3159\/135)*9\/(-20)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.5 (b) -12 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 18826906*w + 56480736.\nAnswer: -2*(w - 9413456)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 2 (c) 1\/4 (d) -16.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 932778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 + 7 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 4*h + 130 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 40129, 4.8 in ascending order.\nAnswer: 4.8, 97, 40129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.307 + 1.0366. Let l = d - 0.652. Round l to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 + -126. Let z(y) = -y**3 + 14*y**2 - 9*y - 14. Is z(g) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(100\/(-72)) - 4\/(-10). Suppose 120 = t*i - 340. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 3778*l\/3.\nAnswer: 2*l*(l + 5667)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 13*h - 21. Let k be b(11). Let q(z) be the first derivative of k + 0*z - 1\/2*z**2. Let w(l) = -l**2. Give q(w(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -26*h**2. Let o = -146 + 150. Let v(a) = a + o - 15 + 11. What is v(y(i))?\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/2 + 96*g**3 + 2160*g**2 + 19200*g + 48000 = 0 for g.\nAnswer: -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 12*s + 33. Let w be k(-7). What is the biggest value in 5, 0, w, -0.031?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 20. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = -74*u + 11*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -529016 divided by 4\nAnswer: -132254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1226790.9s?\nAnswer: 20446.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t + 10 - 10 + 50 + 8 - 69*t**2 wrt t?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 times -0.2?\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201960 by -55.\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -81.097. Is c != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05214 and 0.5.\nAnswer: -0.02607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/162 and -7 - (-10 + 334\/36).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739024635 - 36.74?\nAnswer: 739024598.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26333, -26342, -26329, -26282, -26189, -26038?\n\"Answer: 2*u**3 - u**2 - 20*u - 26314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -9061, -0.2, 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (0 + -9 + (-85)\/(-65)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + y = -95, y + 2*y - 35 = -w. Suppose -17*f = -22*f + w. Solve 2*h = -14 + f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 2032?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 29435 = 10255. What is the greatest common factor of s and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 25. Let l(b) = 6. Let a(s) = 4*l(s) - x(s). Determine a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 862.4 - 862.43. Let s be (-2)\/(-14) + 2\/(-6). Let h = s + 13\/21. What is the third smallest value in h, c, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -67, 3\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luu when three letters picked without replacement from uucluucmucll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from umumuumuuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 + -389. Let c be n\/84 + (2 - -1). What is the biggest value in 4, 1\/3, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 158513207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 49*b + 106. Let v(p) = 15*p + 35. Let k(w) = 2*r(w) - 7*v(w). Let j be k(-5). Factor -2 - 1\/2*m**2 - j*m.\nAnswer: -(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/3 + 14*l**2\/3 - 80*l\/3 + 88\/3 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4499 + 4503. Let v = 15 - 23.1. Let q = v - -0.1. Sort q, 0.2, p in decreasing order.\nAnswer: p, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1796.4072 microseconds to weeks.\nAnswer: 0.00000000297025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -79\/177438?\nAnswer: -79\/177438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*q**3*r**3 - 2*q**3*r**2 - 119*q**2*r**3 - 5*q**2*r**2 + 2*q*r**3 + q*r wrt q.\nAnswer: -984*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 171331847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = m, -2*o + 5*o + 11 = 5*m. Suppose m*b - 5 = 5*b. Put -3, b, -0.5 in descending order.\nAnswer: -0.5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 57, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -473*g + 475*g + 32. What are the prime factors of 180 + -1 - (23 + g)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3432753 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6961 + 8849. What is x rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -201, -296, -387, -474?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 - -1*(5 - 2) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(4\/21))**41*(o*o**(-1\/4)*o**(1\/5))**31 assuming o is positive.\nAnswer: o**(9089\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 358565405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209915, -420239, -630563, -840887?\nAnswer: -1051211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 - -10161532?\nAnswer: 10161646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 648 + -1078.9. Let l = u + 425.8999. Let p = l + 5. Round p to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -577, 1398.\nAnswer: -577, 0, 3, 1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 46 + 3*p**2 - p - 46. Let a(k) = -16*k**2 + 5*k. Give 2*a(o) + 11*z(o).\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3122818.7 from -2874157.\nAnswer: -5996975.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70858 by -1825.\nAnswer: 70858\/1825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056538998 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b + 20 = 0, -92 = -4*o + 5*b. Find the first derivative of -32*r**4 + 26 + 7*r**4 - 20 - o*r**4 wrt r.\nAnswer: -172*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -0.3, 121\/4, 15\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 17*g - 11. Let t(p) = 5*p - 12. Let s(z) = -10*z + 22. Let q(i) = -4*s(i) - 7*t(i). Let j(b) = 2*c(b) - 7*q(b). Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3161454 is divided by 117090?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4542240 divided by 567780\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3160061 - 3*q - 2*q + 3160036.\nAnswer: -5*q - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, -0.4, -2, 5\/6, -2\/7 in ascending order.\nAnswer: -2, -0.4, -4\/13, -2\/7, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(-105)*25\/9.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*o + 239*o - 121*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 - 3*x + 5. Let d be o(-4). Let w be (5 - d)*(-10)\/(-4). Suppose 2 = w*t - 8*t. Solve -3*f + t = -0*r - 2*r, 0 = 2*r + 3*f - 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 2 + 3*h - 5*h)*(-28 - 4*h + 28) + (3*h**2 - h**2 + h**2)*(-1 + 0 - 2) + 20*h + 3*h**2 - 18*h - 6*h - 5 in the form z + u*h + i*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o + 2. Let w be p(0). Suppose -g - 201 = -2*i, -416 = -4*i - w*g - 26. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44624 divided by -4?\nAnswer: -11156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 497720356522126 + -0.5?\nAnswer: 497720356522125.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from ccjrd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31395309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1296384 and 4672?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 - 13*o - 9. Let j be w(-4). Suppose 2 + j = -h. Let s = 211 + h. Does 33 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4554*g - 9645*g + 5094*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 41*l**2 - 7 - 77*l**2 + 45*l**2. Let g be h(6). Let m = 478 - g. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -64.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b - b)*(611*b + 38715 - 38715).\nAnswer: -611*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 15. Let k be t(11). Suppose -k*o + 9*o = 495. Let h be 4\/(-16) + (-74)\/(-8). Calculate the greatest common divisor of h and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -68*u + 72*u. Solve -12*y + 46 = -u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 4889084*n - 14667216.\nAnswer: -4*(n + 3)*(n + 1222268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 19. Let q = -49 - -58. Determine w(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92538*x + 90451*x - 29218 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:28 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (8\/32)\/((-2)\/(-48))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*-4)\/(sqrt(300)*-3).\nAnswer: -8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Suppose -5*w + 10 = 0, h*w = d + 2*w - 2. Solve d*b - 6*m = -4*m - 20, 0 = -3*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 928*i - 841. What is the thousands digit of p(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24211.1 + 1754?\nAnswer: -22457.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15116 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/15 + 7\/30. Let i = -12 + 14. Which is the third biggest value? (a) i (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -549 + 1643\/3. What is the closest to 1\/5 in -2, w, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -768703 + 327467629\/426. What is the common denominator of b and -47\/33?\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 94 + 11 = -z, 0 = 3*z + 15. Calculate the remainder when 41 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 696*a + 238015. Give l(-342).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Suppose 0 = -10*w - 8*w - 36*w - 54. Let l(b) = -5*b - 3. Give w*l(h) - 6*j(h).\nAnswer: -h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8 - -1)*(11 + -17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*-3.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 + -0.08. Which is the nearest to l? (a) 1\/8 (b) -0.04 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p**2 - 6011*p + 66104. Give q(11).\nAnswer: 1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3194047671.\nAnswer: 3, 6733, 158129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2753790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 26*y = 82*y - 3180 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1120 and 125\/24?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -2\/11, -1\/6, -17\/6 in ascending order.\nAnswer: -3, -17\/6, -2\/11, -1\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*j**2 - 1734*j**2 + 1373*j**2 - 2095*j**2 in the form x*j**2 + q + u*j and give x.\nAnswer: -2551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -323303 (base 5) to base 11\nAnswer: -8361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 3*i + i - 12*i. Let m(x) be the third derivative of -x**4\/4 + x**2 + 91*x. What is m(t(q))?\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*l = -1557, 8 = -2*l + 6*l. List the prime factors of f.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160.5 - 162. What is the biggest value in -1\/5, -1, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*(14\/8 + -1). Let m(l) = -4*l**2 - 17*l - 5. Let d be m(-3). Let o(j) = 19*j - k*j - 7*j**2 - d*j. Let h(w) = -2*w. What is h(o(t))?\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + z = -l - 71, -5*z - 13 = -l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127 - 37. Let z = a + 278. Is ((-118)\/3)\/((-4)\/z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10472101 >= 10472080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -448\/443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose 21*c + 11 = 53. Suppose u + f*i - 20 = 24, 0 = c*i - 8. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 3, -9, -5.\nAnswer: -9, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 687 + -684. Suppose -f + 8 = 3*f. Suppose -j + f*s = 4*j - 33, -3*s = -3. Solve -20 = -t*v + j*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 1 - 5\/2*k**2 + 1\/4*k**4 + 4*k + 4\/3*k**3. What are the prime factors of d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4.4 (b) 6\/11 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 37*a**3 - 2*a**2 + 1. Let h be u(1). Suppose 0*o - 4*o = -h. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.22. Let b = 0.18 + i. What is the closest to b in 0.5, -2\/19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-6\/13)\/h)\/h))**17)**(-50) assuming h is positive.\nAnswer: h**(-38250\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i + 4*k - 12 = 0, 0 = i + 5*k - 14. Let x be i\/(-6) - 8\/(-21). Let m be (28\/12 - 1) + -2. Which is the nearest to x? (a) 3\/7 (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21344 + -12544. What is d rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.75486 to 2 decimal places.\nAnswer: -1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 8 = 6*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10296229 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7255.072 milligrams to kilograms.\nAnswer: 0.007255072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2313*a = 6*h - 2311*a + 10, 4*a - 19 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1471965 and 588786.\nAnswer: 2943930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2650*f + 396 = 2672*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 0*d**3 + 0*d**4 + 17\/5*d**5 - 15 + 0*d**2 + 26*d. Find the first derivative of l(g) wrt g.\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*k - 12 = -k, -3*p + 2*k = -29. Suppose 3*b - 2*n + 4 = 3*n, 3*b + 3*n = 36. What is the lowest common multiple of p and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-320)\/192)\/(2\/(-20)))\/(10\/(-15))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/6)\/(4*(-2)\/2232656) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*i, -v - 3 = -5*i + 5. Let q(r) = -4*r**2 + 5*r**2 + 3*r - i - 9*r. Let n = -18 + 25. What is q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -482962 divided by -663?\nAnswer: 482962\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -4. Let t be (13 - 1)\/(1\/v). Let x = t + -119. What are the prime factors of x?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*i - 1232663 = 269834. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*r - 9 = -125*r. Let k(f) = -f**2 + 5*f - 1. Let m be k(4). Suppose 66 = 5*o - 0*o - m*d, 10 = -5*d. What is the remainder when o is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 98 = 2*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 6. Let a(u) = -4*u - 6. Give 5*a(m) - 6*y(m).\nAnswer: -2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28 less than -16.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*g - 7*g = -12, -f = -5*g + 15. Round f to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(-15*m**4 + 61 - 61) + m**5 + 3*m**5 - 2*m**5.\nAnswer: -28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**41\/o)\/o)**31)**9)**(-4\/31) assuming o is positive.\nAnswer: o**(-1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1862757 divided by -3?\nAnswer: 620919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h. What is the remainder when w(2) is divided by -204*(-5)\/75 + (-6)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 5, o: 6, y: 3}. What is prob of picking 2 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -96946.5507 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -19*v**3 + 13*v**2 + 60*v. Let w(d) = -9*d**3 + 6*d**2 + 30*d. Determine -6*p(g) + 13*w(g).\nAnswer: -3*g**3 + 30*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.56 + -8.69. Let u = 19 + -18.87. Let m = u + h. Which is the biggest value? (a) -0.1 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/30*5)\/(1 - 3). Let z(y) = y**3 + 5*y**2 - 6*y - 1. Let f be z(-6). Let a be (f\/(-5))\/((-6)\/(-5)). Sort a, 4, b.\nAnswer: b, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66077 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 154 = -4*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 + 585*g**2 - 1190*g = 0. What is g?\nAnswer: -119, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 - 172. Suppose -36*b - 76 = -40*b. Calculate the greatest common factor of b and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/3 + 606352*s\/3 - 22978921744\/3.\nAnswer: -4*(s - 75794)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 19502.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30355 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 2, m: 3, k: 1, i: 5, o: 6}. Give prob of sequence zoiz.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11954 + -11954. Is -9\/88 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*r = -571, 4*r - 1 = 3*r. Suppose -2*v - 10 = x, -4*x - 3*v = 42 - 2. Let q = 28 + x. What is the highest common divisor of q and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -7*v**3\/6 - v**2 + 15*v. Let n(w) = 4*w + 1. Suppose 4*g - f = f - 16, -6 = 2*g - 2*f. What is g*n(k) - 3*o(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3012.9 to the nearest 10.\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948550 divided by -3?\nAnswer: -982850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 9*v + 84 = 0. Suppose 3*q - 6*q + v = 0. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*sqrt(432) + (sqrt(432) + -3)*-6 + (4*(4 + sqrt(432) + -3) + 5)**2.\nAnswer: 828*sqrt(3) + 7007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*f = 88*f + 2156. Let a = f + 315. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116656168 rounded to the nearest 100000?\nAnswer: -116700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1643512 divided by 4\nAnswer: -410878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143*s**4 + 6*s**2 + 1945 wrt s?\nAnswer: 572*s**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6347155 days in minutes?\nAnswer: 913.99032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 216?\nAnswer: 19\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.5, 16\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1050 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 170 = 2*s - l, 2*s - 2*l - 176 = 0. Suppose -4*r = -5*b - s, 5*b = 3*r + 24 - 91. Solve -z - g = -4*g - r, 4*z = 4*g + 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - 1 + 2 - 2*m - 4 with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**2 - 42*b. Let g be d(-7). Suppose g = -2*s + 24*s + 220. Let p be 2\/(-11) + (-564)\/44. Are p and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 + 214. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 3\/2, -0.03, 78?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = -4*g, 0 = -2*g - 3*g. What is the second derivative of -2*q - q - t*q**5 + 7*q wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcccghfg. Give prob of sequence cfg.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116144 by 112.\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15 - -5*8\/60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 1 + 1 + (-2 + 2 + s)*(0*s + 2*s - 3*s) + 926*s**2 + 12 - 97*s**2 - 7 - 5)*(15 - 9*s - 15) in the form f*s**3 + u + g*s + a*s**2 and give f.\nAnswer: -7470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83925486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*q - 175, 0 = 2*q - 3*l + l - 118. Suppose 5*h - 62 = q. What is the greatest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/24 + 55*v**3\/6 + 9*v**2. Let b be g(0). Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z - 16. Let t(u) = u**2 + 6*u + 6. Determine t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11006*d**6 + 4007*d**2 - d?\nAnswer: 1320720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*u = 19, 5*h = 4*u + 4 + 7. Which is the closest to 2\/5? (a) 0.1 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496 and 8804?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63952 divided by 2.\nAnswer: 31976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 4. Let p be -1 - (1 + j - 0). Let b be p\/(-14) + (-19)\/(-7). Solve 4*v = -b*c + 12, 4 + 0 = c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18 - (-2 - (1 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrlvnr. Give prob of picking 1 v, 1 n, and 2 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12903092 and 54838141?\nAnswer: 219352564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1134698 or 1134707?\nAnswer: 1134707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -237, -238, -239, -240?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t**3 + 4 - 3 + 52155*t**4 - t**2 - 52159*t**4 as w*t**2 + i*t + f + m*t**4 + k*t**3 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*g + 52 - 35, -m + 1 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.5 and -222?\nAnswer: -2775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -52. What is the smallest common multiple of a and 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240479 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2 + 265*c - 34 + 175 + 120 + 101 with respect to c.\nAnswer: 4*c + 265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 55 = 3*i, -5*i - 13*k + 12*k - 40 = -8*k for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7985*s + 35 + 70 + 8016*s - 2 - 12 as b + h*s and give b.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4752, 9502, 14252, 19002, 23752, 28502?\nAnswer: 33252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - -0.9026297?\nAnswer: 16.9026297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.95695 greater than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose 5*k - 3*l - 119 = w, l = 4*k + 5*l - 76. Calculate the remainder when k is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.018143 + -0.018. What is w rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -291*z - 17. What is the units digit of p(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -874676 - 5?\nAnswer: -874681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6582.\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156 + -2120805?\nAnswer: -2120638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213531309 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1792830 and 78.\nAnswer: 1792830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -216384 divided by 23?\nAnswer: -9408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -323, -667, -1013, -1361, -1711?\n\"Answer: -h**2 - 341*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -196 + 212. Let o(b) = b**3 + 5*b**2 + 2*b - 4. Let m be o(-3). What is the greatest common divisor of m and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-44 + 19 - -41) - -83.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -28808?\nAnswer: -28808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-61)\/61*(-8 - -1). Solve 4*g - 9 = -u*r + 2*r, 2*g - 2*r = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.576 - 20.3. Let p = -0.076 + l. What is the third smallest value in -0.4, 0.2, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1217, -4858, -10925, -19418?\n\"Answer: -1213*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 682995318 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/7)\/i)\/i*i**(2\/17)*i)\/(((i**(-2)*i)\/i)\/i)**49 assuming i is positive.\nAnswer: i**(17337\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 3614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 8138 = 8*u. Let y = 476 + u. Do y and 163 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34, 5, 0 in decreasing order.\nAnswer: 34, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 39*w**2 - 145*w + 44. What are the prime factors of t(-13)?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + 5 + 4.\nAnswer: sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5 - 6 - 1 + 58*v. Let r be u(3). Calculate the greatest common factor of r and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, -399, -1881, -4781, -9573, -16731, -26729, -40041?\nAnswer: -57141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 23 = -3*s, -5*o + 0*s - 34 = 2*s. Let b be (-4)\/(-16)*o\/(-7). Let q = -0.18 - -5.18. What is the closest to -2\/5 in 2\/13, q, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4011 + 4?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/20)\/(60\/(-250))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1528784?\nAnswer: -4586352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.2.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-2934)\/(-167238))\/((-1)\/(-6))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**2*o*q + 170*d**2*o - 4*d**2*z + 2*d*o*q**2*z - 49*d*o*z - 2*q**2 wrt z?\nAnswer: -4*d**2 + 2*d*o*q**2 - 49*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*c = 6*r - r + 2*c + 14, 3*c + 937 = -464*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let z be ((-3)\/57*0)\/(2*1). What is the closest to z in -3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + d + 23 - 6 = 0, -k - 4*d + 37 = 0. Solve -k - 1 = -11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -2\/19, -3, 0.9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z + 1. Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4357?\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30441?\nAnswer: 3, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601542 + 90743 = -25941*o + 209486 + 576765 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 30*u - 36*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10 - 6*g**2 - 4*g - g**3 - 3*g - 3*g**2. Let j be o(-8). Suppose 0 = -f + 4 + j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627 and 4587.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - 3 + 1 - 2*d - 1 + d + 1 + 0*d + 4*d - 3*d + (1 - 4 + 1)*(2 - 2*d - 2) - 5*d + 2*d + d + 3*d - d + d.\nAnswer: 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9463 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 724365 (base 16) in base 7?\nAnswer: 120435642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 116, 267, 478?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 13. Suppose 4*b + 5 = -5*a, a + b - 4 = -2*a. Suppose 30 = a*w - p - 35, 3*w + p = 55. What is the remainder when w is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40080 by 6.\nAnswer: -6680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 764901 - 765086.00516. Let o = q + 185. What is o rounded to four dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27683.\nAnswer: 19, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/((-6)\/11). Let x be (7 - 8)\/(-4 + 52\/16). Let p = d + x. Which is the second smallest value? (a) 2 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/3734411?\nAnswer: -4\/3734411","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 289*b - 619. Is 16 a factor of f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1551166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -73 (b) -0.19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 25580*p - 2 + 1 + 4*p**2.\nAnswer: p**2 - 25580*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 + 10081*l**3 - 33858702*l**2 + 37831288268*l + 190004169640 = 0.\nAnswer: -5, 3362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 63\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.9 + -9.1. Round l to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24\/19 + 226\/209. Let v = 8 - 4. Suppose v*t = t + 9. Which is the closest to 0? (a) t (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, -2\/17, 3, -3, 126 in increasing order.\nAnswer: -15, -3, -1, -2\/17, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15125*g**5 - 16225*g**4 + 1120*g**3 - 20*g**2.\nAnswer: 5*g**2*(g - 1)*(55*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 330. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73128 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 539*g**4 + 1019*g wrt g.\nAnswer: 6468*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 168 = 9*d + 28*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and 0.104.\nAnswer: 8.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1481*d + 53237. Determine h(-36).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -381606, -382258, -382898, -383520, -384118?\n\"Answer: j**3 - 659*j - 380948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -17. Solve 0 = -2*j + c*j - 56 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 - 242*r - 1170. What is w(-5)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/4 - (-4 + 7))*-8. Let w = t + -6. Sort w, 5, 0.8, -0.4.\nAnswer: -0.4, 0.8, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 43999*j**3 + 4*j**2 + 5*j. Suppose 5*m - 13 = -3*t, m = -3*t + 2 - 9. Let d be o(m). What is d rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2\/(-16))\/1)\/((-26)\/624). Let j be ((-16)\/(-6)*-3)\/(-2). Let n = -0.3 - -0.2. Which is the nearest to n? (a) q (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**5 + 20*w**4 - 55*w**3 + 30*w**2 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzrzzzzzzzzzzzzzrzz.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-7)*(518\/26936)\/(2\/(-52)).\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + 98. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 at least as big as 43111\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 50\/131?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(468) - sqrt(468)*1) + 1 + sqrt(52) + -3 - (-3*(sqrt(1300) + 2*sqrt(1300) + -1 + sqrt(1300)) + 2))**2.\nAnswer: -976*sqrt(13) + 193508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + 56 + -28 + -8 + 8?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -172, -171?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13613 - -13602. Which is the nearest to 1? (a) s (b) 0.6 (c) 1\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = -r + 2*r, 3*r - 29 = -4*c. Is 10726\/c + 4 - (-5)\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-291)\/6*(-6 + -3 + 7). Suppose 0 = a*h - 103*h + 4812. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - 3*t + 2. Let n = 12 + -10. Let v be h(n). Solve -3 = -2*g + 5*b, 5*b = -3*g - v*b - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 77\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 67*o - 9151. Calculate the remainder when 1871 is divided by b(135).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -343.2876 and 13.\nAnswer: -4462.7388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -4 - 50) + 43 + 0 + 0 + -54?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.182282 nanograms?\nAnswer: 0.000000003182282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**2 + 2*b - 1. Let h be v(1). Let f be (3\/h)\/(1\/(-6)). Suppose 4*x - 5 = j + 21, 3*x - 14 = -f*j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64198508 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 144*g**2 + 17*g - 6. Is p(-142) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 22*j**2 + 17*j + 18. Let c(g) = g + 3. Give 6*c(d) - w(d).\nAnswer: -22*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (22 - 9) - -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10338.268115 + 99?\nAnswer: -10239.268115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274.2, -2\/5, 37, -5 in decreasing order.\nAnswer: 274.2, 37, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -11\/163, -2.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 48 = 3*f, -2*b - 15*f + 26 = -13*f. Calculate the highest common factor of 207 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/1 - 0)\/(717\/(-6)). Let x = -755\/4541 + u. Calculate the common denominator of -151\/6 and x.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from zttzkkkkk?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/10, -0.06, -3\/7, 13, 0, 3\/2, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-1*-3)\/(sqrt(10)*-2*-6 + sqrt(10)).\nAnswer: 3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.087 and -1.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(sqrt(175) + 1))**2.\nAnswer: 640*sqrt(7) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-7 + 415\/60). What is the second biggest value in 5, 1, -3, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q = 81*q + 516. Let m(r) = -r**3 - 41*r**2 + 86*r + 3. Let l be m(q). Solve -4*x = z - 10, -3*x + l*z = -0*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 219823*b - 4176620. What is l(19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -130749 (b) 8\/3 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**6\/105 + 9*c**5\/70 - 10*c**4\/21 + 4*c**3\/7 - 367*c. Solve w(g) = 0.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 17. Let h be o(12). Suppose -h*u + 10 = 5*m, -3*u - u = -5*m - 8. Solve u*y - 4*y = 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w**5 + 705*w**4 + 280*w**3 - 620*w**2 - 320*w = 0.\nAnswer: -2\/3, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*b**2*l**2*w - 654*b**2*l*w**3 + b**2*l*w**2 + 2*b*l**2*w**2 - 4*b*l**2*w + l**2*w**3 + l**2*w**2 - 60*l*w**3 wrt w.\nAnswer: -3924*b**2*l + 6*l**2 - 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*k - 3*k - 2*k)*(5*k - 3*k + 0*k) - 2*k**2 - 4*k**2 + 2*k**2)*(-11 + 3 + 7) as r + d*k + y*k**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 + 7*p + 9. Is x(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 - -157176218\nAnswer: 157175858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 t when four letters picked without replacement from {l: 7, t: 2, g: 6}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g. Suppose -2*c - 2 + 10 = g. Suppose 5*m + c*d - 227 = -36, 192 = 5*m + 3*d. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91330599.\nAnswer: 3, 29, 107, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -48.3. Let j = m + 5. Let p = j + -0.4. Which is the smallest value? (a) p (b) 3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7\/2)\/(m\/m**(-16)*m)*m**21*m*m**19\/m*m assuming m is positive.\nAnswer: m**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, v: 4}. What is prob of sequence vvvv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -60. Suppose k - 45 = -2*u, f*u = u + 2*k + 110. Is u less than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.5 and -250002.\nAnswer: -250000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ririrrrrriirririrr. Give prob of picking 2 i and 2 r.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1810 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69762, -294760, -669768, -1194792, -1869838?\nAnswer: -2694912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let g(t) be the first derivative of -3 + 0*t**2 + 0*t**3 + z*t - 3\/4*t**4. What is the derivative of g(j) wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*y + 8, -5*y - 22 = 4*u - 2. Let g be ((-22)\/y)\/((-2)\/356*-1). Suppose 0 = 14*q - 3*q - g. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b**2 - 9*b + 4. Let m be d(-4). Calculate the highest common divisor of 27 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 107077082.2373?\nAnswer: -107077082.7373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 20. Let f = u + 16.2. Let y = 28.5761 - 28.4761. Which is the nearest to y? (a) f (b) -6\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41230 + -3?\nAnswer: 41222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-2 - -10) - 9) + -4 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + 4*n)*(128*n + 29*n + 2*n)*(2 - 2*n**3 - 2).\nAnswer: -318*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*i**4 + 1568*i**3 + 278068*i**2 + 441792*i + 165312 = 0. Calculate i.\nAnswer: -84, -1, -3\/5, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blblbblbblll. Give prob of picking 3 b.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 2*a**2 + 9 + 5*a - 7*a**2 - 13 - 8*a. What is x(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-245) - 107168244\/2143015?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.79 in 21, -5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1191009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187657 is divided by 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - 17*x**2 - 13*x + 17. Let c(o) = -o**3 + 6*o**2 + 4*o - 6. Determine 17*c(u) + 6*r(u).\nAnswer: u**3 - 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*sqrt(304)*-5)*6*1.\nAnswer: -480*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -121 - (203 - 42).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 4*d + d**2)*(-5 - 6 - 3) + (-3 + 3 - 7)*(4 + 2 - 1)*(1 + 2*d**2 - 1) in the form l*d + w + n*d**2 and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 20033550?\nAnswer: 20033556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-18)\/360*1*8\/(-20).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-1 - -2))*1. Suppose 2*f - 4 = -n. Solve 0 = 2*x + f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d + 2*d + (-1 + 0 - 1)*(-1 + 1 - d) - 1 + 1 - 2*d + (1 + 1 - 6)*(d + 1 - 1).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 8*r**2 - 10*r - 17. Is l(-8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttgttauuhtygy. Give prob of picking 1 a, 1 u, and 2 g.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2 and 9\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 600 (b) 2 (c) -0.6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 - -2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5552 and 596840?\nAnswer: 1193680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*j + 5*y, -3*y = 2*j + y - 12. Let l = j - 9. Find the second derivative of 3*z + 3*z**5 + 0*z**l - z + 2*z**5 wrt z.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = 235 - 281. Sort -3, -467, -2, c in descending order.\nAnswer: c, -2, -3, -467","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10886076.\nAnswer: 2, 3, 33599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-60)*-6*(-24)\/9.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.4 (c) -454 (d) 5 (e) -2\/35 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3209*s + 3173*s = 324 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -1128\/205?\nAnswer: -1128\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6006705 + 86*s - 3003357 - 3003353.\nAnswer: 86*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 - -123.4. Let x = -753 - -756. Put -7, u, x in decreasing order.\nAnswer: x, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -8. Let p = -209 + 214. Suppose -p = l, u = -3*z - 5*l + l. Solve -8 = w + 3*d, w - 6 = -w + z*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38541 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - q + 1. Let c be l(1). Suppose -c*j + 325 = -3*j - 5*m, j = m + 333. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x**2)\/x)\/x)**23)**10)**9 assuming x is positive.\nAnswer: x**2070","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37507526 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + 20. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/49, 5\/318, 94?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314575 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-373)\/4)\/((-1)\/4). Suppose 4*l - 1879 - n = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1501 divided by 625.\nAnswer: 1501\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -207*c + 202*c + 250. Suppose -c*z = -53*z + 51. What is the greatest common divisor of 272 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2241455?\nAnswer: -2241451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 911725400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of (120848\/(-312))\/(0 - 4\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 79. Suppose -5*j - c + 39 = 0, -4*j + 2*c + d = -c. Solve -k - 4*k + 4*o + j = 0, 2*k = -5*o - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -2\/9, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1212 - 63*o**3 + 125*o**3 - 64*o**3 - 345 in the form p*o**2 + f*o**3 + t + v*o and give t.\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18879 times -7.7\nAnswer: -145368.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:03 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8)\/((-8)\/16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -21. Let p = h - -17. What is the nearest to -1\/3 in p, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - -101100000000011010100?\nAnswer: 101100000000011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1762 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55.27 and -28.\nAnswer: 1547.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108233?\nAnswer: 108233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y**2 + 4*y + 1. Give k(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 + -200. Calculate the least common multiple of i and (2\/4)\/((-1)\/(-20)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 663 divide 7780305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((5*sqrt(48)\/sqrt(3))\/sqrt(8))**2 + sqrt(8)*-1 + -2*(sqrt(6)\/sqrt(3))**2.\nAnswer: -2*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:01 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.38758 times -4\nAnswer: -5.55032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p = 6*p - 19*p + 230 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-58)\/(-4)*2 + 1. Suppose 0 = 2*m - 5*m + h. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769088581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*v - 52*v - 108*v + (0 + 1 + 0)*(1 - v - 1) + 4 - 4 - 2*v - 2*v + 2*v + v + (-4 + 8 + 5)*(-6*v + 4 - 4) as q + c*v and give c.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 23*o**2 + 19*o - 56. Give w(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370251*0.08.\nAnswer: 29620.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 918?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990746 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2649707 divided by -41\nAnswer: -64627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.09275ug in grams?\nAnswer: 0.00000609275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 60. Solve -s*x + 8*x = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 18*f - 19. Let z(w) = -8*w**2 - 36*w + 39. Let o(m) = 5*l(m) + 3*z(m). List the prime factors of o(23).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 217*i + 2 + 217*i.\nAnswer: -4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 6*j - 3. Let i(n) = n**2 + 2*n - 11. Let z be i(-6). Let h = z + -11. Suppose -6*b + 10 = -2*c - b, b = h*c + 10. What is x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1 + (-6 + 8)\/1. Is -10\/137 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110100101 + 101?\nAnswer: -110110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/2940*28\/(-8) + (-44)\/(-30)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 1. Let u = v - -9. Does 3 divide (-7)\/((-7)\/2)*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -11.33\nAnswer: -14.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 13*k - 25. Let x be c(8). Sort -5, x, 0.2, -2\/9 in ascending order.\nAnswer: -5, x, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (0 + 67)\/1. Let u(m) = 2*m**2 - 3*m - 59. Let i be u(-5). What is the highest common divisor of i and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/14*(-14)\/(-3). Let o = 27 - g. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*w + 11 = -0*a, -2*a + 5*w = 4. Find the second derivative of 4*h + 21*h**3 + a*h + 0 + 0 wrt h.\nAnswer: 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(9)\/sqrt(3)))\/(sqrt(60)\/sqrt(6)*5) - (-3*(sqrt(125) + (6*(1*sqrt(125) - sqrt(125)) - sqrt(125)) + sqrt(125)) + -2)**2.\nAnswer: -1129 - 299*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/609284928 and 87\/101547488.\nAnswer: 609284928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 131605601 (base 7) to base 8\nAnswer: 40203373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 13*q - 13. Suppose 4*w + 35 = 83. Let c be d(w). What is the tens digit of (-1 + c\/(-2))*4488\/(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -17. Suppose -7 = -9*a + 2. What is the least common multiple of y and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -62, -1 in ascending order.\nAnswer: -62, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztvvytyvvvzz. What is prob of sequence yy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.01. Suppose -4*t - 11 - 1 = -2*k, -3*k - 6 = 2*t. Let l be (9\/(-6))\/t*-2. Which is the nearest to l? (a) 0 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4512 and 107\/1596120.\nAnswer: 6384480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 138 = 3*m, 2*m - s - 232 = -148. Solve h - 8*x = -6*x + 8, 0 = 2*h + 5*x + m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*k - 3*k - 713 = 0, 5*f - 899 = -4*k. Let h = f - 128. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94 + 61 - 195)*(-12 + 8*a + 12) in the form s*a + q and give s.\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*i**4*w**3 + 4213*i**3*w**3 + w**3 - 3*w**2 + 14496 with respect to i.\nAnswer: 56*i**3*w**3 + 12639*i**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1453774298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6))\/(-5)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 529057.6 to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)\/(14 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044079?\nAnswer: 1044079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 247*60\/228*(-8)\/(-26)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 680\/(-15)*(7 + -10). Suppose 3*j + 48 = 9*j. What is the greatest common divisor of k and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:57 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-29 - (13 - 23))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1069 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29375 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2585.4728\nAnswer: -12927.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -106\/7 bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1595, 3254, 4927, 6620, 8339?\nAnswer: 10090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 9) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1197502683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 12828*p + 12828. Calculate u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + 12. Let f = w + -50.5. Sort 0.7, -1\/4, f in increasing order.\nAnswer: f, -1\/4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 15*w + 21. Let u be (-1)\/(3 - 4) + 9. Suppose u*z = 7*z + 3. What is the greatest common factor of z and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -111440, -891568, -3009062, -7132604, -13930876?\n\"Answer: -111447*r**3 - r**2 + 4*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-8)\/(120\/5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f**5\/5 + 486*f**4\/5 + 324*f**3\/5 - 159832*f**2\/15 - 212624*f\/15 - 14144\/3 = 0. Calculate f.\nAnswer: -26\/3, -2\/3, 17, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.1 take away 834?\nAnswer: -726.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*r - 52540, -2*r + 3*t + 13835 = -38689. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1410\/(-235))\/((-56)\/(-30)*(-33)\/22)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 6, z: 1, a: 4, i: 7}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 6*a + 4*k + 37 = 0, k = -3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -19*o - 97. Calculate g(9).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 11*a - 25. Let l be n(5). Solve m = d - l, 3*m = -d - 2*m - 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 15*w**2 - w - 10. Let q be j(-15). What is the highest common factor of 295 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 3, 1, -0.3.\nAnswer: -0.3, -0.01, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 483729 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 83*l - 349. Calculate y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33489073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**2 + 8550*c + 17112 = 0.\nAnswer: -2, 2852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 60 = 4*j, -4*d - 28 = -3*j - 88. Let z(c) = -c**2 + 4*c. Let b(y) = 2*y + 1. Let g(r) = 6*b(r) + z(r). What is the units digit of g(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 29*m**5\/120 - m**4 - 2*m**3\/3 + 51. Let u(d) be the third derivative of s(d). What is the first derivative of u(h) wrt h?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -6. Let c = -4 + l. Let w be (-34)\/(-2 + 1) + c. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - n**2 - n**2 + 11950*n**3 - 13463*n**3 - 1 + 0*n as w*n**2 + u + h*n + r*n**3 and give r.\nAnswer: -1513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(7\/(-14))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.08, 3, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2145 and -1*(14802\/(-2178) + 3) + -4.\nAnswer: 23595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + r**2 - r**2 + (-r + r - 2*r**3)*(-r - 2*r + r) + (-4 + 1 + 2)*(-43*r**4 - 26*r**4 + 31*r**4).\nAnswer: 41*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 2) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -98615.\nAnswer: -118338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9493778km to micrometers.\nAnswer: 949377800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3 - 1337*p**2 + p + 13339 wrt p.\nAnswer: 12*p - 2674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3 - 22. Let u = 8 - o. Suppose 4*q - 4 = 0, 105 = u*m + 4*q - 43. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6446 - 6446 + 0*v**2 - 38*v**3 + 2*v**2 in the form g*v + p*v**2 + m*v**3 + l and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*c = 6, 3 = -h - c - c. Suppose 4*b + 69 = 2*o - b, h*b - 157 = -5*o. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2*f - 3. Let i be (32\/(-24))\/(1\/(-6)). Let j(r) = r**3 - 7*r**2 - 10*r + 12. Let h be j(i). Is w(h) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 19*o - 4 = 0. What is the common denominator of (o - 2)\/20 - (-1282)\/60 and 32\/37?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + (4 - (14 + -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m - 3. Let p = -18 + 19. Suppose r + p = -1. What is the lowest common multiple of 8 and z(r)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9565775 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -9. Let g = 11 + k. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 1229116.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 + 65*l**2 + 100*l - 35*l**4 - 4*l**5 + 26 - 6 - 70*l**3 + 22*l**5 = 0 for l.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*sqrt(704)*6 + -4*(4 + sqrt(704)))*1*-1)**2.\nAnswer: -2208768 - 28672*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22435\/2 - (5\/15 - (-10)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-155952)\/(-798)*616\/12 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6\/7 (b) -4 (c) -27 (d) -14143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -497 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 207*a + 5817. What is the tens digit of o(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 101, 1, 16, -0.4, -25, 4.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + -9 + ((-1695)\/(-408) - -2) and 49\/170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 5*o**3\/3 - 55*o**2 - 83. Factor y(k).\nAnswer: 5*k*(k - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2.68, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let r(n) be the third derivative of -11*n**4\/3 + 314*n**2. Determine r(b(h)).\nAnswer: -88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76779171 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63\/298 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:40 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - l. Let n(c) = -c**3 - 6*c**2 + 8*c + 16. Let q(r) = n(r) - 4*z(r). Suppose 0 = 9*x + 3 + 96. What are the prime factors of q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 289\/7 - (-12)\/(-42). Let m = -39 + b. Solve 0 = 2*s + 3 - 13, -3*o = -m*s + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7305 divided by -425?\nAnswer: 1461\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m + 1. Let g(p) = -3*p + 1. Let d(n) = -4*c(n) + 5*g(n). Differentiate d(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17011911*y**4 - y**2 + 7186393*y - 3 wrt y?\nAnswer: -204142932*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(31 - 18 + 107)*(-40 + 40 - 27*i**3).\nAnswer: -3240*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/4 + 10*x**3\/3 + 17*x**2\/2 + 7*x - 9. Let n = 93 + -100. What are the prime factors of b(n)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8)\/(-10) + -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -60882 and -60873 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.3, -2, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 21*s**2 + 2*s - 2. Let k(j) = -11*j**2 - j + 1. Give -6*g(n) - 13*k(n).\nAnswer: 17*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - ((-2*sqrt(70) + sqrt(70))*4 - sqrt(70)) - sqrt(70))\/sqrt(10) - 1*((2 + sqrt(7) - sqrt(7)) + 0))*-5.\nAnswer: -25*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 53. What is the remainder when i(18) is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152) + sqrt(152) - sqrt(152))\/sqrt(8))**2 - 4*(sqrt(19) + 1)**2 - ((-5*2*sqrt(19))**2 - (-1 + sqrt(684))**2).\nAnswer: -1276 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4118*-8.41\nAnswer: 34632.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(4 - (-276)\/(-72)). Which is the closest to d? (a) -1\/40 (b) 0.3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkko when four letters picked without replacement from kkokokoook.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/12 - 13*b**3\/6 - 2*b**2. Let z be j(10). Suppose 0 = 3*m - 4*w + 14, -w = 2*m - z - 2. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -2550, -6061, -10966, -17259, -24934, -33985, -44406?\nAnswer: -56191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a + 4 - 3*a**2 + 5*a + a**3 - 2 - 1 + 4. Give h(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukekkkikiqi. What is prob of sequence kqiu?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j**2 - 2*j - 21*j**2 + 19*j**2)*(-5 + 5 + 1) - 1 + 0*j**2 - 1 + j**2.\nAnswer: -25*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15054.7 and 1.2.\nAnswer: -15053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 20 + 15 + -9\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 15*h - 1060. Suppose 0 = b + k + 35 + 33, 3*b - k = -h. Is b < -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.9 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 305943*m**4 - 2*m**3 + 3023338*m?\nAnswer: 3671316*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 + 2*t**3 - 4948*t - 76 + 76 + 4946*t - 1233*t**2 to g*t**4 + y + n*t**3 + f*t**2 + j*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 15. Suppose 7*v - 8 = 5*v - 2*h, 5*h = 13*v - 52. Solve a = 11*b - 13*b + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b. Let m = -22 - -26. Suppose -m*g = 64 - 292. Let d(v) = -57 + g + 4*v. Give d(c(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 495\/12 - (-1)\/(-4). Suppose 43 = -3*m - j. Let l be ((-8)\/(-14))\/((-8)\/m). Solve 0 = l*p + 2*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 25.02. Let n = z + -18. Let g = n - 7.000124. Round g to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**5\/120 + f**4\/18 - 60*f - 65. Let x(a) be the first derivative of g(a). Suppose x(m) = 0. Calculate m.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10*q = -9*q + 1063, -1587 = -3*i - q. What is the remainder when i is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - i = -3, 618*i + 6 = -5*s + 620*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a**2*u + 46*a**2 - 4729*a*u - 2*a wrt a.\nAnswer: 66*u + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65ab14 (base 13) in base 5?\nAnswer: 1103110114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((-56)\/(-224))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q + 2183 - 6*q - 11*q - 2183.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p - 0. Suppose -11986 = 156*b - 12766. Solve -c + q - p*q = b, 11 = -2*c - 5*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -119, -237, -377, -527, -675, -809?\n\"Answer: 2*o**3 - 29*o**2 - 11*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**3 + 21*j**2 + 36. Let y(n) = 2*n**3 + 4*n**2 + 7. Calculate 4*v(d) - 21*y(d).\nAnswer: -6*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = j + 3*j. Let a(s) = s**3 + 4. Let m be a(j). Let q(c) = c**2 - 7*c + 2. Calculate q(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 e when three letters picked without replacement from {u: 2, e: 1, h: 1, z: 7, a: 2, m: 6}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 415007619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (4 - 4) + 95. Let o = 154 - z. What is the greatest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 0 + z**2 + 0. Let c(p) be the second derivative of 23*p**4\/24 + 63*p**2\/2 + 6*p + 3. Let s(i) be the first derivative of c(i). What is q(s(w))?\nAnswer: 529*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*(-2 - -4 - 76\/(-3)). What are the prime factors of -4*(-3)\/(-9)*m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-4 + 2 - 4)*(2 - 2 - y) - 100*y - 48*y + 48*y.\nAnswer: -94*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14302438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/2)\/((-2)\/10). Suppose -6*z = -11*z + 275. Let a = z - 47. Solve 3*k - s = a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107792.\nAnswer: 2, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 19 = 5*b, -2*b + 6 = 3*z - 6*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -72. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -13322729.\nAnswer: -5329091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s + 2. Let k be m(-1). Suppose 0*a = 4*a - k. What is the least common multiple of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7133\/11 - -649. What is the nearest to -1 in x, 4\/5, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/837 and -179\/8370?\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3325)\/140)\/95)\/(1\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v**(2\/9)*(v**1)**(-44))**(2\/105) assuming v is positive.\nAnswer: v**(-716\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-12))\/(-48)*((-5)\/(-21))\/(65\/78)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040031 rounded to 6 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0 - 2 + r - 5. Let g be c(8). Let z be (1 - (g - 0)) + 0. Solve 5*a + z*a = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.1 + -49. Suppose 3*j + 546 = -354. Let p be j\/(-80) - (-1)\/4. What is the nearest to m in p, -0.01, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38575, -77162, -115761, -154372?\nAnswer: -192995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 4, -3*i + l + 2 = 0. Suppose o - i*o = -4*t + 17, 2*o = -4*t + 14. Suppose 0 = -8*x + 5*x. Solve 4*g - 6*y + t*y = 12, -2*g - 2*y = x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.53652 and 0.0003.\nAnswer: 0.001960956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - j + 3 = -4, -5*x + 15 = 2*j. Sort -27, -3, x, 4 in decreasing order.\nAnswer: 4, x, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22380 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Let x be (-315)\/(-90)*5\/14. Sort d, x, -7.\nAnswer: -7, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -304*x + 15. Determine a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -402*c + 110. What is the hundreds digit of r(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.9. Let f = -2449\/5698 + 1\/814. Which is the third smallest value? (a) w (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) 5 (c) -0.03 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**3 - 6*y**2 - 7*y + 7. Let o(g) = 7*g**3 + 4*g**2 + 3*g - 5 - g + 2*g + g. Let u(l) = 5*h(l) + 7*o(l). Find the third derivative of u(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 5057505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 25 = 97. Which is greater: p or 70?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*b - 5 = 0, 4*z = 7*z + 3*b - 3. Solve -4*j + 8 = 3*h, z*h = 2*j + 2 + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 7*u - 79 + 156. Let t(j) be the third derivative of 0 + u*j + 0*j**3 + 40*j**2 + 1\/24*j**4. Let m(l) = -2*l - 19. Determine t(m(s)).\nAnswer: -2*s - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2\/7 (b) 1\/7 (c) 3\/5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 0, -201, -1 in ascending order.\nAnswer: -201, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3*t - 14)*(-3 - 3*t + t + 9*t).\nAnswer: 21*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.78 in 1\/4, -3\/8, 164\/19?\nAnswer: 164\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i + 5. Let m be s(3). Suppose n - 3 = 0, -4*q + 9 = m*n - 5. Suppose 0 = -d + q*d - 3. Solve 2*y = -3*v + 19, 5*y + 0*v - 34 = -d*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 - 3*x - 7. Let y be r(5). Suppose 155 = y*b - 5*z, b + 4*b + 3*z - 315 = 0. What is the greatest common factor of b and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7823751189.\nAnswer: 3, 919, 2837777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 616 + -614. Solve v*s + 5 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = f - 10. Let j = f + -38. What is the remainder when 79 is divided by (4\/(80\/(-36)))\/(1\/j)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470419021.\nAnswer: 79, 18612899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:06 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u**3 + 15*u - 15. Let o(p) = -p**3 - p + 1. Calculate -15*o(l) - z(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + f - f. Let o(i) be the third derivative of i**4\/4 + 2*i**2 - 127. Calculate 6*o(j) + 13*p(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/471 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -1. Let s(p) = -p**2 - 9*p - 1. Let q be s(-9). Let b = q - k. Solve b = -4*u - 0*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-19)*v)*v**(-2\/7))\/((v**16\/v)\/(v*v\/(v*v**(6\/13)))))**(2\/5) assuming v is positive.\nAnswer: v**(774\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110111111 + -10100110001?\nAnswer: 1010010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -134. Let b = 69 - h. Find p such that -27\/4*p + 21\/4*p**4 + 27\/4*p**3 - 3\/2 - 15\/4*p**b = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/12 - g**4\/24 - g**3\/6 + 5*g**2. What is i(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-10)\/(-3)))\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 5*y - 3. Let m be w(-4). Let s(l) = -7*l**3 + l. Let t be s(-1). Calculate the greatest common divisor of m and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 3\/5 (c) -0.3 (d) 37\/395 (e) 4 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 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: What is the units digit of 1837477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/27 - (-47)\/9. Let x(c) = c**2 - 6*c - 20. Let r be x(8). Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -45. Suppose j = 4*b - 3*b - 3. Suppose 37*y - 296 = 1036. Calculate the smallest common multiple of b and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -2*u - 16, -1861*j = -1858*j + 3*u - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + j + 1. Let f(p) = -4*p - 32*p**3 - 4 + 36*p**3 + 7*p**2 - 1. What is -f(q) - 5*z(q)?\nAnswer: q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 30079647956474?\nAnswer: 30079647956474.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**7\/210 - i**6\/24 + i**5\/10 + i**4\/6 - 4*i**3\/3 + 35*i**2. Find b such that c(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 40 = 2*k, -6*x = -x + 5. Let c = 26 - k. Solve 11 + 5 = -c*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2239, -2972, -3705, -4438, -5171, -5904?\nAnswer: -6637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1130*j**2 + 53*j + 143. What is the tens digit of f(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 3*p + (-2*p + 2*p + 4*p)*(0 - 4 + 1))*(-4*p + 5*p - 3*p).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -29, 45, 2 in increasing order.\nAnswer: -29, 2, 3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-37 + 6) - -22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 501, 1064, 1599, 2094, 2537?\n\"Answer: -2*r**3 - 2*r**2 + 583*r - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**3\/3 - 60*h**2 + 450*h - 1125.\nAnswer: (2*h - 15)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -455 - -459. What is the derivative of 94*g**4 - 312*g**4 - 16 - 85 - 79*g**p wrt g?\nAnswer: -1188*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65775\/4 + 16656. Let k = h + -215. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43616168 not equal to 43616168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**4\/4 - 17*x**3\/3 + 37*x**2\/2 - 15*x + 10. Let m be i(-19). Solve -z - m = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-6)\/(-96))\/(((-1740)\/440)\/87)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-172)\/20 + (-4)\/10. Let l be ((-9)\/2)\/(m\/84). Suppose u - l = -u. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*k + 3*k - 105 = 0, 0 = -5*k - 25. Let j = o - 24. Suppose 0*d = d + 3*s + 4, 5*d - 19 = -j*s. Solve d*l = 3*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 17 - r + 0*r - 3*r. Let o = -33228 - -33232. Calculate s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.4535 less than 51898?\nAnswer: 51909.4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfddddhnfnhnn. What is prob of picking 1 n, 2 h, and 1 d?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 + 16*o**2\/5 + 26*o\/3 + 28\/5.\nAnswer: 2*(o + 1)*(o + 2)*(o + 21)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -2 + 45\/6. Let h = 20.2733 + 0.0267. Let j = h + -20. What is the closest to 0 in x, -1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**4 + 14*o**2 - 8*o - 11. Let u(f) = 7*f**4 - 9*f**2 + 5*f + 7. Let y(b) = 5*r(b) + 8*u(b). Factor y(q).\nAnswer: (q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 8*n**2 - 6*n + 6. Let d be t(-7). Let o(q) = 30*q - 1 - 49*q**3 - 60*q + 31*q + 2. Is o(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1*18))\/(235\/282).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1218)\/(-56))\/((-558)\/72 - 7*-1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 7*c - 3. Let q be h(-6). Let f = -20 - -24. Suppose r = -f*g + 64, -q*g - 62 = -r - 6*g. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -14*i - 3*i**2 - 3*i**3 + 9*i + 8*i + 2*i**3. Let o(x) = x**3 + 2*x**2 - 2*x. Suppose -v + 3 = v - l, 9 = v + l. Give v*d(j) + 6*o(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 39 = 27. Calculate the highest common divisor of 15 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1271764 * 0.03.\nAnswer: -38152.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*l**4 + 31950*l**3 + 174960*l**2 + 316386*l + 190269.\nAnswer: -(l - 261)*(5*l + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 478, 1625, 3868, 7573?\n\"Answer: 61*v**3 - v**2 - 7*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 6*s**2 + s + 6. Let t be (6 - 2) + 0 + -3. Suppose -47 = u - 40. Let m = t + u. Determine q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 1\/2 (c) -1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/j**(-4)*(j\/j**(1\/3)*j)\/((j\/(j\/(j\/j**(1\/13))))\/j))**(-14) assuming j is positive.\nAnswer: j**(-8596\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 44807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35795201177369 less than -2?\nAnswer: 35795201177367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)*-1 - sqrt(468))*6 - sqrt(468))\/sqrt(12))\/((sqrt(3) - 1*sqrt(3))*1 + sqrt(15)\/(1*sqrt(5))).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6467, -25876, -58225, -103514, -161743, -232912, -317021?\n\"Answer: -6470*y**2 + y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -45*n**5 - 2175*n**4 - 2795*n**3 + 1235*n**2 + 2840*n + 940 = 0.\nAnswer: -47, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 0 - 1 + 0*x + 4*x. Calculate l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81610.\nAnswer: 2, 5, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 113 + 112 - 225.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/17548685 and 1\/6160.\nAnswer: 280778960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 divided by -804?\nAnswer: -835\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9603676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -5, 1 in descending order.\nAnswer: 14, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128122 divided by -9170?\nAnswer: -64061\/4585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 40.6. Is b < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6750 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 10*h - 10*h - 8 + 15 - 8.\nAnswer: -14*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, f: 4, e: 2, a: 1}. Give prob of sequence ige.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from hhahhahaah.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f + 0 - 13 + 0*f. Calculate the remainder when m(4) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11116591.\nAnswer: 53, 137, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j. Let t(y) be the first derivative of -y**3\/3 + 4. What is o(t(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**3 - b**2 + b - 1. Suppose a - 1 + 0 = 0. Let v be x(a). Suppose -d - v*d = -36. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-16))\/((-180)\/864)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121261?\nAnswer: 7, 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-65635)\/(-63) + (-31)\/279. Let s = v - 1034. Calculate the common denominator of s and -19\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 23*u**2 - 23*u - 20. Let b be y(-22). Let c be 6 - (b - -1 - 0). Suppose 2*q - 3 = 17. Solve -c*x - q = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 - s**2 + s. Let q be t(1). Suppose -n - n = q. Suppose -2*c + 5*c + 6 = 0. Is c at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50455 (base 7) in base 6?\nAnswer: -132401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 19*s + 23. Let j be q(-18). Solve -c - j = 4*d, -19 = -c - 4*c + 2*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -4, 0.2, 94742931?\nAnswer: 94742931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-627)\/114?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -63*y**2 - 114*y + 264 = 0.\nAnswer: -22\/7, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4 - 20136*y**3 + 8485604*y**2 - 16830336*y - 25336080 = 0?\nAnswer: -1, 3, 462, 4570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 4*y + 8. Let z be g(7). Let s = z - -19. Calculate the remainder when 17 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84.3 * -37.\nAnswer: -3119.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -5 + (0 + 4 - (-5)\/1) and 534?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 61. Let p be w(7). Let s(d) be the third derivative of d**5\/60 - d**4\/12 + 5*d**3\/6 + d**2. List the prime factors of s(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/((-90)\/8)*-5. Let c(v) = 3*v**2 - a*v + 11*v + 0*v. Let d(s) = -s**2 - 2*s. Determine 4*c(y) + 14*d(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26257 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 3*u - 21. Determine j(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-3)\/u)))\/u)**(40\/7)*(u\/(u**(-8)*u*u*u*u)*u)**(-2) assuming u is positive.\nAnswer: u**(-284\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*v**2 - 278*v**2 - 318*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 23*x - 57. Determine m(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30078.34 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2\/11 + 38436*b\/11 + 653990\/11 = 0.\nAnswer: -17, 19235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -66. Suppose 0*v = 4*v + 8, 18 = r*q + 3*v. Suppose 0 = -q*c + 12*c - 180. Calculate the smallest common multiple of 3 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48795283?\nAnswer: 3889, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/24 - 3*m**2\/2 - 8*m. Let g(t) be the first derivative of b(t). Give g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/5 - 62682*h\/5 + 188028\/5 = 0. Calculate h.\nAnswer: 3, 31338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 541*b**2 + 88*b - 3. Let a(y) = -273*y**2 - 45*y + 1. Let w(j) = -5*a(j) - 2*z(j). What is the second derivative of w(f) wrt f?\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6482 is divided by 6468?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905.8527 months to millennia.\nAnswer: 0.075487725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 3*m**2 - 4*m + 4. Suppose -5*o + 57 = 2*c, -4*o = 3*c - 0*c - 47. Let k = o - 7. What is the units digit of s(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**20*(w\/(w*w*(w\/w**11*w)\/w*w))\/w assuming w is positive.\nAnswer: w**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-21 - -4 - (1 - 9 - -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -128*l + 12. Let v be m(2). Let s = v + 244. Solve 4*x - 6*n + n - 20 = s, 2*x - 5*n = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -352637, -352629, -352627, -352625, -352617, -352597?\n\"Answer: h**3 - 9*h**2 + 28*h - 352657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. Let u = -469 + 469. Sort u, 3\/8, k in decreasing order.\nAnswer: k, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 + 2*m + 121 + 184.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + s**2 - 1. Let f be x(-1). Let k be (0 - 165\/(-25)) + (-33)\/55. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1141572 and 285393.\nAnswer: 1141572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 + -4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d280 (base 16) to base 4.\nAnswer: 231022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 23*p = 19*p - 35, 0 = 5*p + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73\/5 of a meter?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/((-28)\/24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1108*g + 1128*g - 6160. Calculate the remainder when g is divided by 154.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 607 - 577. Is (2 - (-17270)\/f)\/(1\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jsjlj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 150.8141 grams?\nAnswer: 150814100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6302997087?\nAnswer: 3, 47, 44702107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3747948 + 1236?\nAnswer: -3746712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -806 + 808. Solve 4*f = z*j - 4, 0 = 3*j - 3 - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 17*q**3 + 2*q - 2. Give p(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -31*q**2 + 5*q. Let z(p) = -47*p**2 + 8*p. What is 8*r(m) - 5*z(m)?\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000405659793 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -202394, -202393, -202392?\n\"Answer: x - 202395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2402, 2400, 2398?\n\"Answer: -2*u + 2404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644\/(-2644)*-61*2\/2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -927*m + 1864*m + 15642871 = 956*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-55))\/(3245\/13275).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 13*b - 1. List the prime factors of c(-8).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1040*g**2 - 7*g + 10. Let r be l(-10). Suppose -x - 14080 = -r. Round x to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*u**4 - 2*g*u - 1113*u**4 + 221*u**2 wrt u.\nAnswer: -48*g*u - 26712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133\/14 + 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 15.96. Let c = v + -1.93. Round c to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 752 - 751.6. Sort -5, h, -3, -0.2.\nAnswer: -5, -3, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 3)*(-1 - q + 1)*(3*q - q - q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*y**2 - 270*y**2 + 265*y**3 - 272*y**2.\nAnswer: 265*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/66063 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 7*s + 7. Let y be l(-7). Let b = y - 5. Suppose 3 + b = p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t**2. Let w = 95637 + -59385. Let n(m) = w*m - 36252*m + 17*m**2. Give n(i(d)).\nAnswer: 1377*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let a(i) be the second derivative of -i**5\/15 + i**2 + 2*i. Let s(j) be the first derivative of a(j). Give s(v(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*o + 20. Suppose o*m = -m + 10. Let p = -3 - -4. What is the greatest common factor of p and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.224? (a) -5 (b) 3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71736 and 229516?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17197 * 1.8219.\nAnswer: 31331.2143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hamkaiaiqih. What is prob of picking 1 h and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(3\/5))**37*(h*(h*h**(-10))\/h*h*h*((h**(-12)*h)\/h)\/h)**14 assuming h is positive.\nAnswer: h**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*r - 3 = -359*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = y - 10*q - 19, y - 261 = -12*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.805 times 267?\nAnswer: -214.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 11762788 and 11762789 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -1140101?\nAnswer: 100\/1140101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 461 = 399. Suppose 11 = 4*o + j. Let r = o - -100. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -48, -73, -98?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -625961 at least as big as -625942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + o = 11, -2*j + 5*o - 4 + 0 = 0. Suppose j*b = -4*f - 16, -b - 13 = 3*b - 3*f. What is the tens digit of (4*2)\/(b\/190*-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 9*k**2 - 7*k + 3. Let l be t(-8). Let h(v) = v**2 - 2*v - 2. List the prime factors of h(l).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -213. Let b = d + -61. Calculate the remainder when b is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (837\/21 - 4\/(-14)*25\/50)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w - 2 = -4*o, -5*w - o + 6 = 0. Which is the second smallest value? (a) w (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 0.01. Let d = 55 - 57. What is the closest to -0.1 in o, -0.3, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 2*d + 20. Suppose -3*v = 2*g + 3*g - 72, v = -d*g + 34. Let a(y) = 23*y + 4. Calculate the remainder when a(3) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10356 + -2?\nAnswer: -10361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1951*h + 18. Let g(b) = -3*b + 280. Give g(t(n)).\nAnswer: 5853*n + 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (80\/32)\/(70\/5066572) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 123*p**3 + 8*p**2 + 12*p - 14. Let s be n(8). Let l be 0 - (s\/(-16) - 2). Let f = -3983 + l. Find the common denominator of f and 37\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*g*o**2 - 7*g*o + 15*g - 3*o**2 wrt o.\nAnswer: -76*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10848 = 114*t - 108*t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*w**3 - 24 + 852*w**3 - 1736*w**3.\nAnswer: w**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 46*u**2 - 16*u + 95. What is the remainder when t(-46) is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 17*i**2 - 10*i - 82. What is f(16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*n, n + 5 = -2*l - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173999.\nAnswer: 7, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -25 - f + 8 + 0*f. Let p be r(-8). Let h be (9 + 1)\/(3\/(-3)). Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -23.1, -531?\nAnswer: -23.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2 - 2*f + 12 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.039285598912 + 0.4.\nAnswer: 0.439285598912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/4))**(3\/31)\/(v\/(v\/(v*v**5))*v*v**1)*((v**0)**32)**(-50) assuming v is positive.\nAnswer: v**(-977\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from iuiiuooiioiioiio?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(780\/220)*(792\/42)\/(-11)?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j**3*m**3 + 11*j**3*m + 60*j**3 - 26364*j*m**3 - 224*j*m wrt m.\nAnswer: 66*j**3*m - 158184*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3)*z*z**6*z)\/(z**(-2\/5)*(z\/(z*z*z*z*z**(-6)))\/z) assuming z is positive.\nAnswer: z**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10306 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + y + 1. Let h(p) = -17*p**2 - 3*p + 37. Calculate 5*a(r) + h(r).\nAnswer: -7*r**2 + 2*r + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 7 = -g, -14583*g + 14581*g - 12 - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n**2\/n*n))*n)**(-2))**(-7))**(17\/3) assuming n is positive.\nAnswer: n**(476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21109 and 6016065.\nAnswer: 6016065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031693 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -896 + 5273\/6. What is the common denominator of m and 28\/61?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:15 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/1*1 - -1. Let q(c) = 49*c**2 - c + 14. Let d(k) = -16*k**2 - 5. Let p(r) = -7*d(r) - 2*q(r). Is p(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8640 and 145800?\nAnswer: 1166400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.03 + -3.27. Let v = -14.3 - p. Which is the third biggest value? (a) 0.7 (b) -4 (c) v (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-330)\/20)\/11*-1)\/3)\/(-6)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((2 - 2) + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(405) + sqrt(120)\/sqrt(6))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129284\/3 - -43489. Let q = s - 383. Which is bigger: q or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2. Let o(h) be the third derivative of -h**5\/120 - h**3\/2 - 3*h**2. Let l(k) be the first derivative of o(k). Give l(z(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:40 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/1040 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sujv when four letters picked without replacement from {u: 1, j: 1, s: 2, t: 3, m: 2, v: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 898451171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 22*h + 1 + 6*h.\nAnswer: 23*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15933050.\nAnswer: 2, 5, 7, 45523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9328, -34949, -77638, -137389, -214196?\nAnswer: -308053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16218 = 83*l - 807*l - 230*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by 1.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/126 + 3\/35*82. Let o = -7 + j. What is the biggest value in -0.2, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8856593 is divided by 4428286?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 3147590*k + 3147595.\nAnswer: -5*(k - 1)*(k + 629519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d325 (base 14) to base 2.\nAnswer: -100100111111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 + 1332541*b + 282.\nAnswer: 1332541*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9120.4463857 + -57428.7525173. Let q = m - -66549. Let v = -0.199 - q. Round v to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 108, 140, 172?\n\"Answer: 32*v + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 43 - 33. Suppose 15*c = w*c - 92. Let l = 51 - c. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 19 = 2*g - 7*t + 2, 8*g + 24*t = 4*g - 68 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - -1c?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309559914.\nAnswer: 2, 3, 5732591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -176694?\nAnswer: 5\/176694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 1. Let p(k) = -4*k - 3. Let z(i) = -3*a(i) + p(i). Suppose 0 = -2*c - 6, 11 = 5*s + 2*c + 52. What is z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g + 32. Let l be q(-8). Let v(u) be the first derivative of 1\/4*u**4 + 0*u**2 + l*u**3 + 2 + 4*u. Determine v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99617085 is divided by 126?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 52.6033?\nAnswer: 12.624792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-18)*(1 + 2). Suppose -2*f - 5*b = 0, x*b - 4 = 3*f - 27. Suppose 4*q = 2*t + 2*t - 580, 2*q = f*t - 737. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24677 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 19. Let m = c - -16. Let i be (-2)\/(0 - 4\/6). Which is bigger: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -2 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 2*r - 3*r. Let c be x(1). Let t(o) = -o**3 - 9*o**2 + 1. Let k be t(c). Which is smaller: 1\/4 or k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 12*j**2 + 13*j + 5. Let i be a(13). Suppose -4*w + 2*q + q = 748009, 3*q = -i*w - 934991. What is w rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 121.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e3b (base 15) to base 9.\nAnswer: -4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 1 + 1)*(-2*f + 2*f - 3*f)*(4 + 3 - 4).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 73 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 77808*i - 378380304 = 0. Calculate i.\nAnswer: 9726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 2\/3*i**3 - 20 + 0*i**2 + 0*i. Let m(n) = -9*n**2. Calculate t(m(u)).\nAnswer: 162*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezeeaeaaezazee. Give prob of picking 1 e and 2 z.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -1174?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h**(2\/3)\/h)\/h))**(-15\/2)\/(h*(h**(-8\/7)\/h*h)\/h)**(-37\/2))**(-25) assuming h is positive.\nAnswer: h**(5450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*a**2 - 2*a**2 - 2*a**2 + (a + 0 + 0)*(2 - 6*a - 2).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 2*y**2 + 2*y + 1. Let f be h(-1). Suppose 2*v = f*v + 2. Sort v, 2, 0.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h + 1 - 1. Suppose -22*m + 24*m - 32 = h. Are m and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 89*n + 425. Let t be u(5). Let w(s) be the second derivative of -5\/8*s**3 - 2*s - 9\/8*s**2 - 1\/80*s**t + 0 - 7\/48*s**4. Factor w(m).\nAnswer: -(m + 1)*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14876448 is divided by 841?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132\/13 - -621\/65. Which is the closest to -10? (a) 1\/3 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -20, -28, -34?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -3.2. Let w = 7 + f. Let b be (-1 - 0 - -2)\/(-1). What is the third biggest value in 3, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 134640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12848 (b) -1\/5 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 + -3 - (1 + -17 - -23)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0*j**3 + 21*j + 0*j**2 - 5\/42*j**7 + 0*j**5 - 1\/6*j**6 + 0*j**4 + 0. Factor t(u).\nAnswer: -5*u**4*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793472 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19 + 1)\/((-3)\/2). Suppose -3*l - j = -7*l. Let m = l + -1. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -957500 by 38300.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 11. Suppose 2*s - 5 - q = 0. Solve 20 = -4*u, -4*m + 4*u = s*u + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -0.5. What is z rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - (-123408)\/80)*5. Which is smaller: 7765 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 13 - 67. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46381 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 - 3*b + 2. Let o be m(4). Suppose 0 = 2*x - v - 21, -v + 3*v = 2*x - o. What is the highest common divisor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20\/21)\/((-14)\/(-196)) and (-9)\/4*4\/(-30).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - c + 0*c + 2*c.\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -39419\/8, 2\/9, -1\/3 in decreasing order.\nAnswer: 2\/9, -1\/3, -39419\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 443 and 172086894.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:30 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-1 + 4)**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19467 + 896?\nAnswer: -18ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3751001874?\nAnswer: 2, 3, 23, 61, 148531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:35 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 10:25 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -416, -433, -458, -491, -532, -581?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 13\/6*s**3 + 0 + 0*s - 1\/60*s**5 - 3\/8*s**4 + 10*s**2. What is the tens digit of j(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7117 - -7126. What is the nearest to 3\/2 in 4, 1, d, 1\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150307970 + 0.4.\nAnswer: 150307970.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -612 - -7?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*i**(-3\/7)*i*i)*i)\/i*i**(-2\/5)*i**3*i**7 assuming i is positive.\nAnswer: i**(281\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262 + 94. What is the common denominator of ((-12)\/o)\/((-24)\/(-1652)) and -73\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:34 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1847054 milligrams in micrograms?\nAnswer: 184.7054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 3*y - 8226 + 2364, 4 = 2*g. Which is smaller: y or 1948?\nAnswer: 1948","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-23)\/(828\/24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 12*c - 4*c - 2*c to the form x + t*c and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 20. Solve -b*w - 16 = -1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -820, 122, 39\/8 in increasing order.\nAnswer: -820, 39\/8, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537 at least 2542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 332, 349, 366, 383?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/((i\/(i**(1\/17)*i))\/i)))**(-3) assuming i is positive.\nAnswer: i**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 41*k**2 + 10. Let t(p) = -p**3 - 21*p**2 - 4. What is 2*g(o) + 5*t(o)?\nAnswer: -3*o**3 - 23*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, j: 1, u: 2, m: 7}. Give prob of picking 1 k and 1 j.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7388 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/111 and 22\/356175.\nAnswer: 13178475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.793 + 44.207. Let u = -11.8 + 61.8. Let k = u - m. Which is the fourth biggest value? (a) -4 (b) -5 (c) k (d) -3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412970.\nAnswer: 2, 5, 61, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 f when four letters picked without replacement from {k: 1, f: 3, o: 5, h: 5, c: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**3 - 5*p**3 + p**2 - p**3. Let v be w(0). Suppose -7*r + 3*r = v. Solve -3*f + r*f - 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*m*t**3*v + 3*m*t**2 + 5*m*v - 28514*t**3 + 7*t**2*v + 1308*v wrt t?\nAnswer: 144*m*v - 171084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1221350 divided by 1.\nAnswer: 1221350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**8\/168 - 3*a**7\/5 + a**5\/15 - 3*a**4\/4 - a**2 + 49. What is the third derivative of x(h) wrt h?\nAnswer: 120*h**2 - 3024*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155100 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -76, 14, -2918 in increasing order.\nAnswer: -2918, -76, -11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1664ng in milligrams?\nAnswer: 0.0000091664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-6) - 51\/(1530\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173362463 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 17*o + 2. Calculate w(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s - 53*s + 1950 = 86*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23)\/d)\/(((d\/(d**(3\/34)\/d)*d*d)\/d)\/d*d) assuming d is positive.\nAnswer: d**(-915\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 8*w - 3. Let c be l(3). What is the derivative of -c*z**2 - 29 + 5*z**4 + 38 + 3*z**2 wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -32*w + 31*w. Let p = -155 - w. Solve -3*j - j = -20, -p*b = 5*j - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1481137751 to the nearest 10000.\nAnswer: -1481140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25083896969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*j + 4*u, 9*j = 4*j + 4*u + 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-460)\/30*17063\/20. Let x = o - -13083. Calculate the common denominator of x and -91\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.534413826559 + -0.4?\nAnswer: -4.934413826559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6881)\/(-63) - -12 - (-36)\/(-162).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 364*m**3*z**3 - 10*m**3*z**2 + 11*m**3 - 6*z**2 wrt z.\nAnswer: 2184*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 220466208 to the power of 1\/2, to the nearest integer?\nAnswer: 14848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 7:37 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/14271 and -97\/315.\nAnswer: 1498455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2*(-5)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -581.9? (a) 4 (b) 4\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f - 3. Let p(t) be the first derivative of t**5\/24 + t**4\/24 + t**3 - 7. Let l(u) be the third derivative of p(u). Determine 11*l(a) + 4*x(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + (1 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) - (3 + sqrt(1216) + sqrt(1216) + 4).\nAnswer: -8*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 11*a**2 + 4*a + 8. Let m(k) be the first derivative of k**3\/3 + k**2 - 4*k + 22. Let b be m(3). Is i(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1127912 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + 0)*(2 + -14)\/24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/16)*(b\/b**(-2\/5))\/b)**(-4\/11) assuming b is positive.\nAnswer: b**(-107\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-21))**(3\/29))**2 assuming k is positive.\nAnswer: k**(-126\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20622c (base 15) to base 14\nAnswer: -2c107a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + 31. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/9))\/h*h)\/(h\/(h\/(h*h**(-5)*h))))\/(h**(-2\/5))**(26\/3) assuming h is positive.\nAnswer: h**(326\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 101*n**2 - 731*n - 9. Let t(g) = -2*g**2 - 2*g + 1. Let v(y) = b(y) + 8*t(y). Find the second derivative of v(u) wrt u.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -43. Find the second derivative of 9*g**a + 3*g**2 - 5*g + 2*g**2 wrt g.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 33*f - 272. Let b be v(-17). What is y in 0*y + b + 7\/3*y**4 + 0*y**2 + 2\/3*y**3 = 0?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:09 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/80 and 107\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 - 5*f + 9. What is the remainder when 156 is divided by j(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -659.6 - -660. Which is the fourth biggest value? (a) 0.025 (b) -4 (c) 3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260504568 divided by 3\nAnswer: -86834856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + 57840?\nAnswer: 57790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-41936)\/36694)\/(1*34\/(-14))\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22164203 (base 7) in base 15?\nAnswer: -27c665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*v + 3373 + 2179, -3708 = -2*v + 4*w. Calculate the greatest common divisor of 100 and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 41702?\nAnswer: 375318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 8*w - 1206. What are the prime factors of w?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 17}. What is prob of picking 1 q and 1 t?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5)*(-9 - -4). Suppose k*y + 124 = p + 3*p, 5*y - 110 = -4*p. Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/287 = -22010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let j(x) be the second derivative of -x**5\/20 + x**4\/4 + 2*x**3\/3 - x**2 + 2*x. Let o(f) = j(f) - t(f). Determine o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/5 - 6\/15. Suppose 0 = a*w - 0*w. Is w at most 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5256090465?\nAnswer: 3, 5, 350406031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -862.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272352?\nAnswer: 2, 3, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2091 + 2087. What is the nearest to -2\/5 in -9, h, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2052 + -2016. What is the greatest common factor of v and 1467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.91 - -0.09. Let o = u + -13. Let n = o + -5. Is n smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v - 1. Let r(b) = 18*b**2. What is l(r(c))?\nAnswer: 198*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1311.1 + -1283.1. Let s = 0.3 + -0.1. Does b = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 29*q = -27*q + 108, -34 = -4*a - 0*q - 3*q for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*j = -89*j - 12. Let i = 17 - 12. Which is the third smallest value? (a) i (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100 + 10110001110?\nAnswer: 10100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4 - 347*b**3 + 24*b**2 - 56.\nAnswer: -24*b - 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126654 and 783861.\nAnswer: 327653898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 4*o - 5*i + 358, 2*i = 2*o + 236. Let r = -117 - o. Is 2 - 357\/(r - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 10 + 42 = 4*w, r = 5*w - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-13 - -5)) + 3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*v = l + 7, 2*v = -4*l - 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 350001*d - 8. Suppose -c = c - 5*h - 1, -23 = -c - 5*h. Let v be n(c). Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -60. Solve 0 = -l + 6*l + t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -61. Suppose -m - 4*m + 15 = 0. Suppose 0 = -d - 0*d + 3*w - 1, -m*w - 5 = 5*d. What is the biggest value in d, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1145.7*0.1.\nAnswer: -114.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - (-11 - (10 + -53)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = -2*b + 2*m, 0 = -4*b + 2*m. Suppose 5*v - 68 = 3*g, 5*g + b*v + 124 = 5*v. Let f = g + 31. Solve f = -5*o, 3*n = o - 3*o - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-23)*t*t*t*t\/t**24*t*t**(-1\/15)\/t*t**22 assuming t is positive.\nAnswer: t**(-316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5*y**6\/6 + 23*y**5 + 375*y**4\/2 + 500*y**3\/3 - 2500*y**2 + 2819. Solve b(j) = 0.\nAnswer: -10, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 17*c**2 + 2942*c + 161. What is v(-173)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 13. Let f be 713\/a + (-6)\/(-39). Factor 4*v**3 - 2*v**2 - 55 + f - 2*v**4.\nAnswer: -2*v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 99.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17196738 divided by -6\nAnswer: -2866123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 695\/(-235) - ((-3 - 1) + 1). Which is greater: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338 divided by -2\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c + 2. Let r be 88\/16 - (-2)\/(-4). Suppose -q + 14 = -2*q + r*d, 5*q + 5*d - 20 = 0. Let g(i) = i. Let o(p) = q*x(p) - 5*g(p). Determine o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcfffcffc. Give prob of picking 1 c and 2 f.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48896?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2510.999m to nanometers.\nAnswer: 2510999000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - (22 + -9)) + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 12414?\nAnswer: 37242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 231. What are the prime factors of z?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -63?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001561071 to 6 decimal places.\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*t + 87, 0*d = -t - 3*d + 35. Suppose 114 = t*v - 24*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*j**2 - 408*j**2 - 368*j**2 - 401*j**2 + 1903*j**2 - 362*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 8041*p**2\/2 - 8038*p + 8037\/2 = 0. What is p?\nAnswer: 1, 8037\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -3)*14\/(-4). Let o(d) = 0*d**2 + t*d - 15*d - 14 + d**2. Let b be o(10). Solve -a - b = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/((-160)\/57) + -6 and -157\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4354513.\nAnswer: 4354513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 - 14 = 0, p = 5*d - 58. Let g be ((-4)\/6)\/(2\/p). Suppose 0 = -l + g + 37. What is the remainder when l is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 4 (c) -5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjidsddfqqdf. Give prob of sequence qqj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -2*l**6\/15 + 19*l**2\/2 - 13*l. Differentiate d(q) with respect to q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 17 = 5*b. Suppose 5*n + b*n - 40 = 0. Suppose -4 - 2 = -3*o, -2*y + 18 = n*o. Solve -2*a + 3*a = -y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -2*2\/(-4). Let l(p) be the first derivative of 35*p**4\/4 - 5*p**3\/3 + p**2\/2 + 4*p + 143. Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.581396l?\nAnswer: 581.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b + 7*b - 6*b)*(15*b**4 + b**4 - 2*b**4) - 12*b**5 - 10*b**5 - 11*b**5.\nAnswer: -173*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 - i. Let a(r) be the first derivative of -7*r**4\/4 - r**3 - 3*r**2\/2 + 12. What is -a(y) + 3*h(y)?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 17. Suppose 0 = -4*q, -2*r - 2*q = -0 - 32. Suppose -5*c = -9*c + r. Calculate the lowest common multiple of w and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0245 - -317484305\nAnswer: 317484305.0245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.21807 months in years?\nAnswer: 6.2681725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 19*m + 7062. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.694772 litres in millilitres?\nAnswer: 6694.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 23*c + 3 - 8 - 21*c to the form v*c + d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1228 (base 15) to base 4.\nAnswer: -330113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.138 + 0.099. Let d = h - -0.03902. What is d rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 3*c - 3*c)*(27 - 117 + 43)*(-2*c**2 + c**2 + 0*c**2) in the form i + v*c**2 + s*c + k*c**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84) - sqrt(84)*1) - (sqrt(84) + 1*((sqrt(84) - (sqrt(84) - (sqrt(84) - -2*sqrt(84)))) + sqrt(84)) + sqrt(84) + sqrt(84)))\/(-4*sqrt(432)*-5)*3.\nAnswer: -7*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -158*o**2. Let r(z) = -6971012*z. What is i(r(s))?\nAnswer: -7678011312054752*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(24)\/((sqrt(112)\/sqrt(2))\/sqrt(7)) + ((sqrt(12)*-4 + sqrt(3))**2 - (sqrt(300) + 0))).\nAnswer: -441 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k + 3287*k**3 - 16*k**4 - 3299*k**3 - 11*k - 2*k**5 + 6768*k**2 wrt k.\nAnswer: -120*k**2 - 384*k - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9 = -x. Let d(s) = 6*s**2 + 3*s + 2. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-6)*(8\/6)\/((-490)\/(-315)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -7*a**6\/30 - 5588*a**5\/15 - 7175*a**4\/6 - 3188*a**3\/3 - 4163*a**2. Factor l(q).\nAnswer: -4*(q + 1)*(q + 797)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 17*h + 147 = 0. Let k = 496 - h. What are the prime factors of k?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 140*a**2 + 2368*a\/3 - 94976.\nAnswer: -(a - 424)*(a - 24)*(a + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 20. Suppose 0 = n*w - k - 15, w + 9 = 4*w - 5*k. Let f be 12\/(-20) - (-246)\/10. What is the greatest common factor of w and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*o - 532 = -2*o - 515, -5*o - 10 = -2*q - 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1137?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 m when three letters picked without replacement from {m: 8, y: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81.3 + 85.3. What is the closest to 1\/2 in g, -5, -19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 12:01 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83028569 to the nearest integer?\nAnswer: 9112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l. Let h be 3 - (-4)\/(-12)*6. Give z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.62296 rounded to 1 decimal place?\nAnswer: -66.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-445)\/534)\/(3\/18) - (-561)\/112?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14858 is divided by 63.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2109, 4179, 6225, 8235, 10197, 12099, 13929?\nAnswer: 15675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7900 - 3578. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 477*v + 5210. Calculate z(-11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -902 - -9920\/11. Which is the smallest value? (a) w (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 13*b - 14*b**2 - 12*b + (-45 + 45 + 7*b**2)*(1 - 5 + 0) - 3*b**2 - b**2 + 2*b**2 + 0*b**2 + 2*b**2 - b**2.\nAnswer: -40*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3307, -2, -110, -13.\nAnswer: -3307, -110, -13, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.083 (b) -0.06 (c) 28\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 2, z: 1, p: 1}. What is prob of picking 1 s and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289547.8 micrograms to nanograms.\nAnswer: 289547800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631133.\nAnswer: 631133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 956515085*s**6 + 644838319*s**2 - 1 wrt s.\nAnswer: 114781810200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 3\/4, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 860552.\nAnswer: 3442208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -t. Let x(h) = -2*h - 1. Let i be x(-8). Suppose -v + 5 = 3*w, 2*w = -t*v + 2*v + i. Solve 12 = -3*r, w*o = -5*o - r + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12987 + -10434. What is the smallest common multiple of j and 333?\nAnswer: 7659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = 2*q, 12 + 4 = -4*l. Let r = 0.08 + -0.11. Let k = r - 0.27. What is the biggest value in 1, k, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001059285748 rounded to 7 dps?\nAnswer: -0.0010593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 191 = -5*x + 5*s, 0 = 2*x + 5*s - 73. Let c = x + -42. Suppose -c*b + 74 + 6 = -3*v, -b + 50 = v. Calculate the remainder when 89 is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075114 rounded to five decimal places?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5 take away -0.31316?\nAnswer: -4.18684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -12, 2*j + 2*j = m + 12. What is the derivative of -2*t**m - 1416*t**2 - 5 + 1416*t**2 wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1208980 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121016 and 1512700.\nAnswer: 3025400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/3 + 14*z**3\/3 + 2*z**2 - 46*z\/3 + 28\/3 = 0. Calculate z.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -780.6 - -697. Let z = -82.8 - u. Sort 0, -6, z.\nAnswer: -6, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3) + 0 + 1 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 13*m + 3. Let c be 2 + -2 - (-4 + 17). Let h be j(c). Put -1, h, 2 in ascending order.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84887188 to the nearest integer?\nAnswer: 9213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q**2 - 934*q + 348 = 0. What is q?\nAnswer: 3\/8, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1087*p**2 - 25000*p - 54. Determine y(23).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*i + 487*i = 42. Let t(d) = -23*d - 6. Let c(k) = 22*k + 7. What is i*t(x) + 6*c(x)?\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*5 + 58\/4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 + 4. Let c be 18\/4 - ((-35)\/10)\/(-7). Let i(v) = 10*v**2 + 5. Calculate c*i(p) - 5*f(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1219 + 3585?\nAnswer: 4804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**9\/504 - u**6\/180 - 8*u**3\/3 + 11. Let o(k) be the third derivative of b(k). What is the third derivative of o(n) wrt n?\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74819 is divided by 18699.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -1 (c) 1 (d) -11 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 475\/(-171)*(228\/40)\/(-19)*-2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21)*-2)\/(4\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -5*m + 3*j, 5*m + 80 + 0 = -5*j. Let t be (-1 + 3)\/(m\/(-1)). Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazaggzazgazjajzzaz. What is prob of sequence zjzj?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10048836 divided by 197036\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -74, -108, -140, -170?\n\"Answer: i**2 - 39*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**5 + 10*j**4 + 13*j**3 - 68*j**2 - 280*j - 192. Let c(g) = g**3 + g. Let n(r) = -40*c(r) - 5*o(r). Factor n(k).\nAnswer: -5*(k - 3)*(k + 1)*(k + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - (-7)\/(-2). Let u be 10*((-30)\/4)\/q. Solve u = 5*f - 5*s, 4*f = 3*s - 0*s + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdf when three letters picked without replacement from fdllfd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 24*l + 72. Let i be d(-7). Suppose 2*x - 30 = -4*x. Solve -x*p = -i*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -606.8305 + 784.\nAnswer: 177.1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 0.026. Let o = s - 0.904. Let b = o + 0.4. What is the second biggest value in -2\/3, b, 0.06?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64133363 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21905452859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 973, 1240, 1407, 1492, 1513, 1488, 1435?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c - 78 = 7*c - 47 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*v, 11*p - 7*p - 3*v = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v + 71. Let l(o) = 12*o - 24 + 8*o + 52*o - 70*o. Give -8*l(a) - 3*z(a).\nAnswer: 2*a - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3332860596 to the nearest integer?\nAnswer: 57731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -16461.6069 to the nearest 10.\nAnswer: -16460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 130. Suppose 3*y - l = -j, y - 6 = -2*j + 4. What is the lowest common multiple of 4 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27437 - 175459613\/6395. Let s = o - -5094\/70345. Let c = s - 138\/385. Is 0 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84338.5 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/56 of a week?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-27)*(-9)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b. Let t(p) = 154773*p + 5. Give u(t(z)).\nAnswer: 464319*z + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(19))**2*-1 - (sqrt(931) + 5)) + 0 + -1)*-3 + 0.\nAnswer: 21*sqrt(19) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 3, d: 3, x: 3, y: 5}. What is prob of sequence yytc?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by (-3 + 13)\/(-1 - -3) + 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21\/17 - 223\/153. Let n = y + -1\/36. Let t = -1289.1 - -1289.4. Which is the closest to 0.2? (a) n (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 36 = 0, -3*t + 11225 = 9*g + 11261 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(9\/2)\/(y*y**0*y) assuming y is positive.\nAnswer: y**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 8352.06 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65.692325 and 0.4.\nAnswer: -65.292325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzm when three letters picked without replacement from {m: 4, z: 5, f: 2, j: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/(55\/(-11))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 13*w**5\/60 - 4701*w**2. Let l(q) = 3*q**2 - 4*q. What is v(l(u))?\nAnswer: 117*u**4 - 312*u**3 + 208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 722 - 730. Which is the third smallest value? (a) -3 (b) -30 (c) s (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**15\/y)**(1\/11) assuming y is positive.\nAnswer: y**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuggguuuuug. What is prob of picking 3 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g - 72048 = 2*g. List the prime factors of g.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and -51\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7761846707290 plus -0.14?\nAnswer: -7761846707290.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285677 and 30884?\nAnswer: 1142708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 + -6.6379.\nAnswer: -6.9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 180*g + 48. Let r(n) = 3*n**3 + 21*n**2 + 14*n + 24. Let m be r(-6). Let p(z) = -19*z - 5. What is m*p(u) + 5*l(u)?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362144513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4740.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.2. Let f = -495.3 - -495. Which is the nearest to f? (a) 2\/15 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/11 + 20*c**4\/11 + 4*c**3 + 8*c**2\/11 - 46*c\/11 - 28\/11 = 0 for c.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956290?\nAnswer: 2, 3, 5, 98543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4549*t = 2873*t + 2218*t - 56910 for t.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68780183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 6, l: 2, v: 1, a: 1}. What is prob of sequence ljr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.19, 1, 134699, 2\/11, 4, 3, -2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Solve 0*b = -b + i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/7 + 10095*i**2\/7 - 8487369*i\/7 - 8497467\/7.\nAnswer: -3*(i - 1683)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*j + 3*m, j - m + 1223 - 1214 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -1416.8?\nAnswer: -1416.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*z**2 - 26*z**2 + 29*z**2 - 81*z**2 + 12*z**2.\nAnswer: -185*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2230, -2251, -2280, -2311, -2338?\n\"Answer: u**3 - 10*u**2 + 2*u - 2223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -2119191.\nAnswer: 11\/2119191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -8) + -10 + (-18)\/(-3). Let n = 157 - 147. Solve -n*u - 34 - 16 = l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -161\/8 (c) 1 (d) 2\/13 (e) 0.4 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.378599 rounded to 2 dps?\nAnswer: 73.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8936156861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28030970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) + sqrt(60)\/sqrt(6)*-3).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 at most 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-6)*((-660)\/(-84) + -7). Which is the fourth biggest value? (a) -0.3 (b) -1\/15 (c) i (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015175 rounded to six dps?\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*l + 59453, 0 = l + 5*j - 0*j - 11913. Let y = l + -8234. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(112\/24)\/(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2156 + 786 = 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 41*b + 85. Determine i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + o**2 + 4*o**2. Let j be g(-1). Solve 0 = 2*u - 0*l - 3*l - 5, 0 = -2*u - l + j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4254220 divided by -20\nAnswer: -212711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114939 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 53. Let p be l(7). Put 12, 5, p in descending order.\nAnswer: 12, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80554\/51117 + -2\/17039. What is the common denominator of q and -19\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 4:06 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15760 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 20\/73957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 24*x**3 - 2*x + 0*x - 31*x**3 - 6*x**2. Let q(y) = 2*y**3 + y**2. Let u(a) = -3*q(a) - t(a). Determine c, given that u(c) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -19, -69, -157, -295, -495, -769, -1129?\nAnswer: -1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -33164533?\nAnswer: -33164527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-3) + 2\/6. Let o = -20 + 18. What is the tens digit of x\/(-2)*o - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/8447796 and 31\/8447796.\nAnswer: 8447796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76925642 divided by -674.\nAnswer: 114133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-3564)*-11*-2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tddddddddddddtdddd. What is prob of sequence tdt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 9*w**2 + 9*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17129?\nAnswer: 7, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 + 191. Let y(a) = -1 - f*a + 0 + 45*a. Let b be 0 + 2\/(-2) - 3. What is y(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 10*t = 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 7*n - 17. Let a = n + -16. Suppose f = 2*f - 2, 0 = 5*h - a*f - 8111. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (45\/(-1))\/(-5). Which is the closest to m? (a) -0.01 (b) 0.5 (c) 5\/4 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 147, 395, 805, 1377, 2111, 3007, 4065?\n\"Answer: 81*i**2 + 5*i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3293*r**4 + 3130?\nAnswer: 13172*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + -6 + 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 987.3.\nAnswer: 8885.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-15) + 48\/(-80)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54828223 is divided by 3225.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.302 and -0.18.\nAnswer: 3.11436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - n + 254, -2 = -n - 3. Let m = -252 + f. Sort m, -3, 12 in descending order.\nAnswer: 12, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72060)\/(-492410) + 6080\/(-82).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263259058.\nAnswer: 2, 89, 7096961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + (-1*sqrt(220)*3 - sqrt(220)))\/sqrt(4))\/(-5*sqrt(11)*-2*-2).\nAnswer: 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 9 - (-3 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6 - 2 = -2*q, 2*r = -6. Let m(h) = -5*h - 6 + 3*h - 2*h**2 + 3*h**2 + q*h. What is the remainder when 52 is divided by m(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5734 = -0*k + k + 5714 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 28*l**2 - 2*l + 2. Let x be j(-7). Let o = x + -801. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9c2 (base 13) to base 2\nAnswer: 11010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 56 = -5*d, -6*d + 4*p + 68 = -d. Solve -f + d = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w**2 + 2*w**3 - 2*w**2 + 2*w + 3 - 5*w - 10. Let y be n(8). Let c = -20 - y. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27266.4 - -27253. What is the nearest to 1 in -5, p, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m. Let f(u) = 1289*u + 3 + 6 - 3 - 1337*u. Give f(d(j)).\nAnswer: -192*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + 4. Let k be (-2)\/3*(-28 + 37). What is the remainder when t is divided by (-81)\/k + (-4)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 777369.\nAnswer: 21\/259123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 12*v - 6. Let d = 476 - 469. Let h be i(d). Let t be (-453)\/(-6) - (-2)\/4. Calculate the highest common divisor of h and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -0.07 in ascending order.\nAnswer: -4, -0.3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from irfriitwtiirriwrl?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114579 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*b = -291 + 1059. Solve b = -3*l + 6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1607?\nAnswer: -4\/1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5) + 2\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q + 2. Let j(n) be the second derivative of n**4\/24 - 15*n**2 + 2*n - 15. Let y(l) be the first derivative of j(l). Determine p(y(c)).\nAnswer: -8*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)*z)**28\/((z**7*z*z)\/z**(1\/5)))\/((((z**(-5)\/z)\/z)\/z)\/(z**(3\/8)\/z))**21 assuming z is positive.\nAnswer: z**(19769\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9105857 litres in millilitres?\nAnswer: 910.5857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 40. Let l be g(20). Suppose -4*c + l = 3*i, c - 16 = -2*i - 3*c. Suppose -t - 277 = -i*u, 0*u + u - 61 = 3*t. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 430554*t - 861120.\nAnswer: 3*(t - 143520)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340356989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2304) + -5*(sqrt(2304) - sqrt(2304)*2)))\/(((sqrt(96)*1 + sqrt(96))*-2)\/(sqrt(24)\/sqrt(12))) + 1.\nAnswer: -24*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8240, 16492, 24744?\n\"Answer: 8252*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-7 + (15 - 6))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 715 + -661 - 200\/10.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 12 + 24 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67584201 is divided by 11264033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 10938 = 7*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 2 + 0 + 2 + 1. Let p(x) = x. Let r(t) = j(t) + 6*p(t). Let m be r(1). Solve 0 = d - m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 < -633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 492.6971 litres?\nAnswer: 492697.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:44 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-114) + 106\/(-6). Let r(f) = f**3 + 19*f**2 + 32*f - 32. What is r(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109565, -219117, -328665, -438209, -547749, -657285?\nAnswer: -766817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0*p + 2*p**2 + 5*p + 0*p)*(2*p - 3*p + 3*p) to i*p**2 + r*p + c*p**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3219964 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*g = 14324, -1540*g + 1543*g = -5*f + 71659. Does 144 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 0.4, -1\/4, -0.11, -2\/17, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**6\/24 + o**5\/30 - 7*o**4\/24 - 7*o**3\/6 + 20*o**2. Let k be p(6). Let h = k - 462. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10133312301 - -10231?\nAnswer: 10133323132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 + 90*g - 40. Let b be m(22). Put 3, -1, -994, b, 1 in descending order.\nAnswer: b, 3, 1, -1, -994","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6072 by 44.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -72*t - 131. Is z(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4170253650.\nAnswer: 2, 3, 5, 29, 958679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 290216977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3979 + -2801. What is the greatest common divisor of a and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.468001 hours in milliseconds?\nAnswer: 1684803.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 63 = -3*b, 0 = 3*y + 2*y - 5*b - 170. Suppose 0 = 4*g - 2*a - 60, 3*a + 2*a = g - y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3*y)\/y*y*y**(2\/9)*y)**(-38)\/((y**0)**49\/(y**(1\/7)*(y*y**0*y*y)\/y)) assuming y is positive.\nAnswer: y**(-12367\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - l - 1. Let q(z) = -7*z**2 + 11*z - 9. Calculate q(t) - 4*y(t).\nAnswer: -3*t**2 + 15*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:55 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63700.12 centuries to months.\nAnswer: 76440144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 33500 = -4*a. Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 14 = 5*s, 6*s = w + 2*s + 9. Sort 3, -15, w in descending order.\nAnswer: 3, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 178*f. Let d(w) = 23*w. Give d(s(j)).\nAnswer: 4094*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/((-5)\/5275). Let s = r - -2441\/2. What is the common denominator of s and -55\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3) + -4)*1)**2 - (sqrt(12) + 1 - sqrt(24)\/(sqrt(8)*-2 + sqrt(8))).\nAnswer: -11*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 1\/24*a**4 + 0*a + 0 - 20*a**2 + 1\/3*a**3. Give j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 7*z**2 + 32*z + 18. Let w be q(-14). Suppose -42*o + 44*o - w = 0. Is o a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28404, 227281, 767116, 1818399, 3551620, 6137269, 9745836?\n\"Answer: 28415*a**3 - 11*a**2 + 5*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 13*r**2 - 9*r. Let h(l) = -3*l**2 + 2*l. Determine -9*h(o) - 2*k(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-17835)\/(-861))\/((-906)\/7) and 79\/302.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7 = 5. Solve 4*z - 9 = 2*r + 3*r, k*r = 4*z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3401 + -3400.8. What is the fourth smallest value in 42, 3, o, 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 90768311.\nAnswer: -13\/90768311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 - 7*a + 3 + 14*a - a + a**3 - 2*a. Let c be g(-3). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let m(z) = 8*z**2 - 4*z - 2. Is m(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 2. Let q be k(6). Let d = 34 - 32. Suppose 0 = 3*s + 1 + d. Put q, 1, s in decreasing order.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 - 2*w - 39. Determine c(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5*n)\/n**(4\/3)*(n**0)**(-31) assuming n is positive.\nAnswer: n**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 2\/9, -0.8 in decreasing order.\nAnswer: 2\/9, 0, -1\/4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7848723487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ac6c0 (base 13) in base 15?\nAnswer: -15cc20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p - 10. Let u(o) = 17*o - 30. Calculate -2*u(z) + 7*y(z).\nAnswer: z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olchloub. What is prob of picking 1 l, 1 o, 1 b, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/17 (b) 97564\/3 (c) 3\/5 (d) 2\/9 (e) -5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1773*b - 13. Let g(p) = p. Give v(g(z)).\nAnswer: -1773*z - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-1)\/((-7)\/523) - (-14)\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + -3*sqrt(125)*2*-2)**2 + -5.\nAnswer: 480*sqrt(5) + 18009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -383*g**2 + 2. Let b(a) = -219842*a**2 + 1149. Determine -2*b(y) + 1149*f(y).\nAnswer: -383*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(72)\/sqrt(4)))\/(sqrt(324) + (-2*sqrt(324) - sqrt(324)) + 2*sqrt(484)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 1089*k + 261360 = 0.\nAnswer: -528, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/4 of a hour?\nAnswer: 45900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + -1 + 37 + (36 - 68).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 148*c + 6654. What is k(-45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 149536992 and 9062848?\nAnswer: 299073984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**5\/190 + g**4\/57 + g**3\/57 + 21*g - 31. Let o(q) be the first derivative of u(q). Factor o(b).\nAnswer: 2*b*(b + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 69725*i - 69730*i + 139455*i.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, r: 4, v: 1, t: 4, o: 2}. What is prob of sequence ovw?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 524*p + 519*p = 28, 0 = -5*h + 3*p + 96. Suppose 4*x - 4 = 3*x. Calculate the remainder when h is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -60. Let h = -35 + z. Let x be 1\/2 - 1\/(-1). Which is the nearest to -1? (a) h (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541021328 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 - 5*q**2 + (-2*q - 2*q + 2*q)*(3*q + 0*q - 2*q) - 2*q**2 + 0*q**2 + 0*q**2 - 2*q**2 + 2 - 2)*(-4*q + q + 4*q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8397490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(0 + -2*(sqrt(5) + 2 + sqrt(5) + 5)) + -5)**2.\nAnswer: 3000*sqrt(5) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = -37*b - 3352. Let c = -418 - b. Calculate the remainder when 20 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 28329461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 13*s - 10. Determine x(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from ekokttkstoooeottssk.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbbssbribbrssbsssb. Give prob of picking 1 r, 1 s, and 1 b.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4393, -4278, -4093, -3838?\n\"Answer: 35*t**2 + 10*t - 4438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzzeuez. Give prob of sequence uzu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 10:28 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 7 = -3*y, 4*y = 2*z + 4 - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 62296?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 2, y: 1, j: 5, k: 1, a: 6}. What is prob of sequence wkab?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d + 9*d = -11*d + 378. Let z(p) = 43*p**3 - 11*p - 4. Let q(x) = -11*x**3 + 3*x + 1. Give d*z(k) + 22*q(k).\nAnswer: 16*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*p**3 - 36842*p**2 - 35005785*p.\nAnswer: 480*p - 73684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15752 - 9915. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-25) - (-2)\/5. Let z = -632 - -656. Suppose l*v = -8 + z. Let w(x) = x**2 - 9*x + 5. Give w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30196720 divided by 4?\nAnswer: -7549180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + (-8 - 0) + 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1402 + 682. Suppose -443 = -t + 5*p + 78, 4*p = -4*t + q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y + 8 = 0. What is the units digit of 3 + y\/4*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 14 + 34. Suppose 0 = 4*d - y*d + 8. Suppose 2*u - d = 4*o + 16, 76 = 4*u - o. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 2*f - 2 - 1)*(-2*f**2 - f + f) to d*f**2 + a + c*f + p*f**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-26 + 18 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 72, 150, 248, 360, 480?\n\"Answer: -w**3 + 19*w**2 + 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from {f: 1, r: 5, b: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -158915*z + 77922*z + 74027*z in the form c + y*z and give y.\nAnswer: -6966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -98*y**4 + 18*y**3 + 90*y**3 - 13*y**5 - 4*y**5 - 8*y**3 + 15*y**5 = 0.\nAnswer: -50, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.9 - -11. Let s = -12.1 + 12. Which is the nearest to s? (a) i (b) -3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = 0, m = -2*n + 29 + 10. Let f = m + -58. What are the prime factors of (f + 16)\/((-2)\/218)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k - 1\/4*k**3 - 1\/12*k**4 - 1\/120*k**5 + 0 + 19*k**2. Factor n(f).\nAnswer: -(f + 1)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5\/5 - 7104*g**4\/5 + 2655188*g**3\/5 + 454862168*g**2\/5 + 869183616*g + 2138877440 = 0.\nAnswer: -118, -5, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 594 (c) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 886 - 307. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 5*s**2 + 7*s + 7. Let p(g) = g**2 - g + 1. Let k(l) = -l**3 - 4*l**2 + 3*l - 9. Let t(n) = k(n) + 6*p(n). What is 3*m(b) + 7*t(b)?\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q - 13. Let k be h(-5). Differentiate -37 - k + 141*g**2 + 202 wrt g.\nAnswer: 282*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*x + 165, s + x = 4*s - 99. Let v = s + -22. Let u = -18 + 25. What is the lowest common multiple of v and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d + -9c?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 196011 and 21.2.\nAnswer: 4155433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1383675, -1383670, -1383665, -1383660, -1383655?\nAnswer: -1383650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000323793 to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:06 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*i, -3*n = -i - 0 + 23. Let c(z) be the third derivative of z**5\/30 + 5*z**3\/6 - 2*z**2. Is c(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489699.\nAnswer: 3, 7, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-8 + (-2 - -24))) + -39 + 3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 - 9747.636657?\nAnswer: -9861.636657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12 - 3*r - 11.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Suppose 0 = -t*z + z. Let d be (-6)\/21 + (-51)\/(-7). Solve z = x + 2 - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 117.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -31*s**3\/3 - 7*s + 66. Let o be c(-2). Is -131 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2065.6 and -0.177.\nAnswer: -2065.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111 (base 5) in base 3?\nAnswer: 101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56441\/10 - 5649. Calculate the common denominator of i and 89\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*c**3 - 245*c**2 - 50*c.\nAnswer: -5*c*(7*c + 2)*(7*c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 + 0*z**2)*(13*z - 11*z**3 - 13*z) - 93*z**3 + 10*z**5 + 91*z**3 + 2*z**4 - 43*z**5.\nAnswer: -44*z**5 + 2*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17538.38l?\nAnswer: 17538380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 3265*s - 147569. Determine h(44).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j - 18. Let u = 334 - 120. Let l = -210 + u. Calculate the lowest common multiple of l and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689104?\nAnswer: 2, 229, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1006 - 125323?\nAnswer: -124316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7885 - -8483.7. What is c rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:50 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 7*p - 5. Let r be (32\/(-10))\/((-24)\/60). Suppose r*a = a - 49. Determine z(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 7}. What is prob of picking 1 r and 3 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/134 and -5 - 1\/(15477\/(-76835)).\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.03015 centuries to months.\nAnswer: 15636.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqqesqvssqu. What is prob of sequence vsue?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(243) - (2*sqrt(2700) + sqrt(2700) + sqrt(2700)))\/((4*sqrt(324) - sqrt(324))*4).\nAnswer: -17*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644.321um to millimeters.\nAnswer: 0.644321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -30788, 1\/6 in descending order.\nAnswer: 1\/6, -5\/3, -30788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*i - 3 + 11 = 0, 4*p = 5*i + 10. Suppose p = 5*u - 3*u - 34. What is the remainder when 32 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*f + 17 = -19, 5*f - 17 = 4*d. Let t = d + 12. Is t less than 9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4457.14 minutes in milliseconds?\nAnswer: 267428400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -177 (b) -0.1 (c) 4.672\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 + 4*z - 4. Let m be (60\/25)\/(1\/5). Suppose -4*d + 7*d + m = 0. Calculate a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 2. Put 0.1, -4\/9, y in decreasing order.\nAnswer: 0.1, -4\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 5475, 12, -1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -166518 divided by 99?\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119850\/(-2397)*(-3)\/(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times 1463595.2?\nAnswer: -4976223.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/371784 and -47\/9294600.\nAnswer: 9294600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -11. Let y = -22 - -24. Which is the biggest value? (a) r (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 710, 1551, 2726, 4235, 6078?\nAnswer: 8255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/18 and -16\/374661.\nAnswer: 749322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766865396?\nAnswer: 2, 11, 17428759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/161? (a) 1 (b) 0.3 (c) 16 (d) -2\/9 (e) -0.052 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -2063, -4638, -8241?\nAnswer: -12872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/3*(21\/6 - 2). Let x be 4*1 + (w\/(-3) - 3). Is 4 a factor of (x\/(-21))\/(-1) - 1110\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**6\/10 - 51*q**5\/10 - 18*q**4 + 636*q. Factor a(i).\nAnswer: 3*i**2*(i - 36)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387321 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: Suppose -490 + 482 = -m. Suppose 5*g - 5*t = 15, -13*t + m*t - 14 = -4*g. Let z(c) = 2*c**2 + 2*c. Let o be z(-2). Solve -j - o = g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (264\/2)\/3 - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 38*s - 424 - 419 + 1693 - 416.\nAnswer: 38*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -80090940 to the nearest 1000000.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1327, -2, 2, -0.01 in ascending order.\nAnswer: -3, -2, -0.01, 2, 5, 1327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3131801 is divided by 320?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 - k**2 + 6*k + 1. Let b(o) = -5*o**3 + o**2 - 7*o - 1. Let r(a) = -5*b(a) - 6*f(a). Factor r(q).\nAnswer: (q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**5 + 150*q**4 + 54*q**3 + 6341226*q**2 wrt q.\nAnswer: 300*q**2 + 3600*q + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, 62, 92?\n\"Answer: 30*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 523234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + x + 3 - 4 = 0, 9 = -3*t + 5*x. Suppose -w = -1 - t. Find the third derivative of 9*v**4 - w*v**6 - 9*v**4 - v**2 wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -15. Which is the nearest to 2? (a) v (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8028631, 8028634, 8028637, 8028640?\n\"Answer: 3*s + 8028628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 0*g**3 - 4*g**3 + (2*g**2 + 2*g**2 - 5*g**2)*(3*g - 4*g + 6*g + (2 + 0 - 4)*(-1 + 1 - 2*g)) as s*g**2 + v*g**3 + m*g + w and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 48 + (266 - 250 - (1 - -22)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 2, n: 1, k: 4, o: 2}. What is prob of picking 1 o and 1 p?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -12. Let z = q - -4. Let d = z - -3. Is d >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -483 divided by 3\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*w - 7*w. Solve 0 = w*d + 2*j + 16, 0 = d - j - 4*j + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -26*w**2 + 2*w - 1. Let f be v(1). Let t = f + 31. What is the remainder when 14 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-124)\/10 + 2)*5. Is -2 - (-1 - h\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2. Let g(f) = 14*f**2 + 7*f**2 - 19*f**2. What is y(g(n))?\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(1 + sqrt(117)) - (2 + (sqrt(117) - -2*sqrt(117))**2)) + 5 + -4 + sqrt(117)*1 + 2.\nAnswer: -3156 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10 - f + 5*f - 3*f + 0. Let c be l(17). Solve 16 = 3*a - c*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -6*p - 4. Solve -10 = -p*d + 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.02. Let y = -311 + -12. Let f be ((-2)\/10)\/((-17)\/y) + 4. What is the nearest to 0.2 in -4, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -834, -1668, -2502, -3336, -4170, -5004?\n\"Answer: -834*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-18))\/((-42)\/(-7277949)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l + 1. Let w(m) = -14*m - 5. Calculate 2*w(c) + 7*y(c).\nAnswer: 7*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 - 56 = -4*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/5)\/r*r)**(-1))**(-48) assuming r is positive.\nAnswer: r**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.000064 - -14. Round p to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519756.\nAnswer: 2, 3, 43313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231094203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1309 + -1306. Suppose 0 = 4*c + 5*k + 58, -k + 4 = 2. Let b = c + 17. Solve -p*z + 6 - 21 = b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8445 in -1\/8, 0.5, -0.28, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13705 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 322112?\nAnswer: -322123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*r - 1980 = 392*r + 13*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/2 - 61*j**4\/2 + 20385*j**3\/2 - 1099575*j**2\/2 + 8930250*j = 0.\nAnswer: -196, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - -59. Let c = 126 - b. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -314 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/179 + 1217\/1074. Let y(f) be the second derivative of -2*f - r*f**4 + 0*f**2 + 11\/6*f**3 + 0. What is the second derivative of y(q) wrt q?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286538992.\nAnswer: 2, 17908687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.17009 times -4\nAnswer: -4.68036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 2*a - 1. Suppose 0 = 3*f - 2*f + 42. Let w be 4\/((-46)\/f - 1). Let k be (-32)\/14 - (-12)\/w. Determine b(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 186561.745 to the nearest 10.\nAnswer: 186560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8825.53 + 8746. Let k = 78 + b. Round k to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 1\/4 (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-75)\/(-600)*(-12)\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 55*v + 57*v = 16, -4 = -v. Solve 0 = -3*b + 5*q + 20 - 23, 5*b = -n*q - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-171 - -170) + -4*1. Let f be 48\/(-10)*72\/83. Let t = -3\/83 + f. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 - 7*f - 16 - 8 - 22*f wrt f?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -984716 times -0.001\nAnswer: 984.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 14*l**2 - 376*l + 2244. Determine j(11).\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/7 - 15700*a\/7 - 204438\/7 = 0.\nAnswer: -13, 7863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0871 times -0.1\nAnswer: -0.00871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2212*-16175.\nAnswer: 35779100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - 12*p + 7. Let j be i(3). Suppose -9*q = -0*q. Put j, -5, q in decreasing order.\nAnswer: j, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -563.5365+-3\nAnswer: -566.5365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 - 2 = 0. Let u be 6\/v*(-120)\/8. Let l = u - 13. What is the greatest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -45. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(3168))\/((sqrt(275) - (2*sqrt(275) + sqrt(275)) - sqrt(275))*4).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315 + -4093\/13. Which is the third biggest value? (a) 1 (b) 9\/2 (c) 0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 - 47707896*a - 569010835186704 = 0. What is a?\nAnswer: -23853948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140244 (base 5) in base 8?\nAnswer: 146536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -4, -0.41, -1\/5, -1 in ascending order.\nAnswer: -6, -4, -3, -1, -0.41, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158172 (base 9) to base 4.\nAnswer: 113320220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pimnplf. Give prob of sequence mnpi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose 5 = 5*n + 4*y, g*y + 35 = 5*n - n. Suppose -4*z + n*m = -16 - 7, z + 4*m + 10 = 0. Solve -z = o + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-660)\/594)\/(1\/3))\/((-6)\/(-1))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 18799360.\nAnswer: 394786560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(108) - 2*sqrt(108))*1)\/sqrt(9))\/((-5*(sqrt(484)*2 - sqrt(484)) - sqrt(484)) + sqrt(484)) + 4)*3.\nAnswer: 3*sqrt(3)\/55 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - u - 8. Let w be l(6). Suppose 50 = 4*t - w. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -5*r. Suppose l - 12 = -2. Let g(n) = n + 1. Calculate the least common multiple of g(l) and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (47\/4)\/(3\/(-12)). Let p = -48 - d. Let y = 4 + p. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314044556?\nAnswer: 2, 7, 271, 41387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1515 and -16\/885.\nAnswer: 89385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 7597 (c) 1\/4 (d) -28 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l = 5*h - 2 + 14, -3*l - 2*h = -h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.53 in 91, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 881176 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Let o(j) = 6*j**2 + 6*j**2 + 8*j**2 + 2 - 7*j**2 - 12*j**2 - 4*j. Determine o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84)\/(-9)*(-9)\/(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 10:13 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 bigger than 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + 2*sqrt(833) - ((sqrt(833) - (0 + -1 + sqrt(833))) + sqrt(833)))*-5*5)**2.\nAnswer: -43750*sqrt(17) + 536250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17a94c (base 13) to base 2\nAnswer: 10010001001101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.6, 0.1, 7, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*((-175)\/10)\/7)\/1. Solve -z*i = -2*i + 5*f - 18, f + 1 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18*2 - 1)*-11. Let n be (5*63\/7)\/((-3)\/10). Let a = u + n. List the prime factors of a.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6)\/(130\/(-45) + 3). Suppose 26*l - 2156 = t*l. What is the least common multiple of l and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73\/3 in 2\/7, 209, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*s**2 - 3\/2*s.\nAnswer: s*(s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t. Let i(u) = -7*u**2 - 5*u - 151. Let m(o) = 4*o**2 + 3*o + 77. Let b(q) = 3*i(q) + 5*m(q). What is l(b(s))?\nAnswer: 7*s**2 + 476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/8)*y)\/(y*(y**(-1\/17)*y)\/y))\/(y**(-3\/5))**(-14) assuming y is positive.\nAnswer: y**(-5927\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -210\/761 + -41797\/60880. Calculate the common denominator of a and -83\/12.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 16) to base 14\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (28 - 16) + (5 + -9 - -9) + -79?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173554953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.48041km to millimeters.\nAnswer: 72480410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196051 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.343, 5, -5.\nAnswer: -5, -0.343, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*b + 0*b = 4, -28 = -3*z - 4*b. Suppose -z*l - 1 = -5, 2*x + 3*l - 83 = 0. Suppose -3*i + x = -38. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4906967 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112.67425 + -112.7. Round y to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 + 6 = 0. Factor -3*f**2 - i - 13 - 115*f + 97*f.\nAnswer: -3*(f + 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264181 = 586*x - 52*x + 249763 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let v be (-10)\/(-34) - (48 - 6876\/144). Is r equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 14035.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(-15)\/(-12)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40 + -eef?\nAnswer: -eaf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -5. Let q(p) = -p**2 - 5*p - 2. Let l be q(v). Suppose -l*x + 12 = -2*i + 2, 3*x + 5*i + 25 = 0. What is the closest to -0.1 in x, 5, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 24) + (5 - (1 + -3 + 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4194 * 0.1\nAnswer: -419.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(80)*-1 - (-3 + (sqrt(80) - (sqrt(80) - (-1 + sqrt(80)) - sqrt(80))) - (sqrt(80) - (sqrt(80) + 0 + 0)))) + -5)**2*-3.\nAnswer: -2163 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503238?\nAnswer: 2, 3, 83873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:06 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 8. Let d(a) = -189*a**2 + 42*a - 19. Let t(o) = -d(o) + 2*p(o). What is the second derivative of t(c) wrt c?\nAnswer: 382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(19 - 44 - 51)*(4 - 6 - 2)*(-15*u + 21*u + 3*u**2 - 5*u) + (-2 + 2 - u)*(-u - 2*u + 4*u).\nAnswer: -913*u**2 - 304*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 + 3*d**2 - 2*d. Calculate m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**4 - h**3 + 3*h + 1. Let t(f) = -7*f**4 - 26*f**3 - 9*f**2 - 3*f - 1. Let b(j) = -5*o(j) - 5*t(j). Factor b(w).\nAnswer: 5*w**2*(w + 3)*(8*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (3 + 4)) + 8. Suppose n = o + q, 3*o + q + 1 - 9 = 0. Solve g - 2*p = -6, 2*g + p = o*p - 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54\/5 of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**3 - 2*q**2 + 2*q + 3. Give c(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59046232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4168 + -677. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4032*b**2 - 12*b + 3964. Let r(c) = 1613*c**2 + 5*c - 1586. Let s(w) = 5*f(w) + 12*r(w). Differentiate s(z) with respect to z.\nAnswer: -1608*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 19. Let p be v(7). Let l be p*(1 + 1 - 4). Let b = l + 30. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 3, e: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3\/8 - 7683*o**2\/8 = 0.\nAnswer: -2561, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let y(m) = 9655234*m**2. What is y(n(s))?\nAnswer: 38620936*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Factor y**3 + 4*y**b + 4 + 2*y**2 + 4 + 12*y.\nAnswer: (y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.246?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q - 1. Let v be g(-3). Let d(u) = 2*u + 2. Let n be d(2). Let i be n\/3 - (-60)\/(-29). Is v at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 343, 347, 361, 391, 443, 523?\n\"Answer: o**3 - o**2 + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2 + m - 3. Let o be n(3). Suppose -28*c - o = -31*c. Suppose w - c = -5*w. Solve 4*a + 3 = 7*a + 3*j, -w*j - 20 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1\/8*f**2 + 10 - 1\/12*f**3 + 0*f. Solve z(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 - h - 1. Let k = -3 + 4. Let j(i) = -14*i - 49. Let q be j(-5). Let f(o) = -o**2 - o - 11*o**3 - q*o**3 + 31*o**3. What is k*f(x) - p(x)?\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 + 2 + -2 - (6 + -11))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:54 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13678.04 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:40 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttxssflttstsf. What is prob of picking 2 s and 1 t?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 + 158. Let w = m + -16. What is the remainder when 125 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 705402, 2821131, 6347346, 11284047, 17631234, 25388907, 34557066?\n\"Answer: 705243*x**2 + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1103, -1099, -1091, -1079, -1063, -1043?\n\"Answer: 2*i**2 - 2*i - 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5808 + -968. Is c a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15726\/4*(87\/9 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-11)*6528\/(-32640)?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 719384966 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/40 + 5*g**4\/24 - g**3\/3 + 6*g. Let t(a) be the second derivative of n(a). Is t(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 + 3056*s**4 - 3040*s**3 - 9160*s**2 + 3044*s + 6104 = 0. Calculate s.\nAnswer: -1, 1, 2, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 c when three letters picked without replacement from {c: 8, g: 2, f: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 9. Calculate n(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 493. Let x = -335.84 + v. Round x to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/231 and -31\/567?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/11 - 320\/55. Let o be (-8)\/k + 26\/39. Solve -5*j - 10 = -5*d, o*j + 2*j = -d - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36895 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose 0 = -i*y + 6 - 2. Suppose 6 = -4*u - p + 74, 0 = y*u + 3*p - 34. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*g**4 - 31*g**3 + 6*g**3 + 6*g + 15*g**3 - 1 - 4*g - 3*g as d*g**3 + k*g**4 + m + c*g + f*g**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 12344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 13 - 2*l**2 - 4*l**2 + 7*l**2 - 10.\nAnswer: l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffie. Give prob of picking 3 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 2)**2*-6*-6 - (0 + sqrt(320) - sqrt(180)*4)**2)*-1.\nAnswer: -288*sqrt(5) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6.18 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 958 - 962. Let w(y) = -6*y**3 - 4*y**2 + 4*y + 4. Suppose -2 = -2*i - 12. Let r(n) = 6*n**3 + 5*n**2 - 5*n - 5. Give i*w(d) + t*r(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1314 + 631?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41529478 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**5 + r**3 + 4*r**2 + 1275*r. Let d(i) = 16*i**5 + 5*i**2 + 1277*i. Let h(g) = 4*d(g) - 5*o(g). Find the second derivative of h(l) wrt l.\nAnswer: 380*l**3 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31025823*n**3 + n**2 + 4*n**2 - 5*n**2.\nAnswer: 31025823*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 189784 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/117 and 71\/117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, o: 2, w: 4, p: 1}. What is prob of picking 1 d and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*r - 15, -99 = 3*n - 6*r - 78 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -14. Let k = 24 + u. Let d = k - -3. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**4\/4 - x**3\/2 + 1485*x**2. Give u(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 12 - 32 = 0. Suppose -2*c - 4*g = -26, 4*c + 2*g - 32 = -2*g. Suppose 0 = -c*a + 14 - 2. Is k bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 (base 12) in base 2?\nAnswer: -1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 595.2741 micrometers?\nAnswer: 0.0005952741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4276 - 1817 + 2103 + 2692 + 120)*(2*i + 2 - 2) in the form n + k*i and give k.\nAnswer: 14748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1545)\/(-225) - 7 - 103577\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2612 - -2611.7. Let w be (-1 + (-8)\/(-10))*-2. Is g at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - j**2 - 2*j**3 + 5*j - 7*j + 0*j**3. Let d be i(-1). Suppose -2*x + d = -5*z, -z + 5*x - 1 + 19 = 0. Put z, -4, -5 in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 6. What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2559*v - 25630. What is b(-10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2)*1)*-4.\nAnswer: -4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420216 (base 11) to base 14.\nAnswer: -137769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/7))**(-42)*(s\/(s*s*s**5*s*s))**(15\/4))**49 assuming s is positive.\nAnswer: s**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*2\/12*3. Let w = 8 - 6. What is the third biggest value in w, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232663 is divided by 2102?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.892823 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.757 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 124359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2. Let w(i) = 520*i + 13. Let o(q) = -257*q - 6. Let y(d) = -13*o(d) - 6*w(d). What is x(y(l))?\nAnswer: -146523*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6728 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 4*u - 25 - 116 + 7*u. Let x be h(17). What is the greatest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -33, -91, -203, -387, -661, -1043?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/28 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - r + 21 = 0, 0*r - 3*r - 63 = -4*c. Let d = -1333 + 1336. Solve c = -9*a + d*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/286 and 4 - ((-2)\/(-169))\/((-84)\/(-29505)).\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in 0, 820357, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.087 - 2.887. Let g = d + -9.2. Let y = 11.5 + g. Sort -1\/10, -4\/7, y, -1\/6 in descending order.\nAnswer: -1\/10, -1\/6, y, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 24 + -2 + -44 + 72\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1967162 by 1.\nAnswer: 1967162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366187949?\nAnswer: 257, 907, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 + (6 - (-7 + 7)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3941 - -1?\nAnswer: -3940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -570972\/7 - -81891. Let w = a - 323. Let i = 70 + -70. What is the nearest to i in w, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -29*t - 1. Suppose -63 - 2 = -13*n. Let m(f) = n*f + 2*f - f - 5*f. Give m(r(z)).\nAnswer: -29*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + 72 - -28) + -81.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-260) - (-2)\/(-8) - 94\/(-442). Suppose 3*d = -d. Is z != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-412925)\/13333 - -31) + (-2079)\/67?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 20. Suppose -y + 15 = j*b - 3*b, 5*y = 4*b + 5. Suppose -14 = y*t - 229. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16620*u + 25 = 8311*u + 8311*u + a, 55 = 5*u + a for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4332*a**2 - 10260*a - 6075.\nAnswer: -3*(38*a + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**8\/10080 - w**7\/2520 - w**6\/180 - w**5\/10 - 7*w**2. Let k(m) be the third derivative of d(m). Factor k(o).\nAnswer: 2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -316021695.55999438 - -316021692. Let r = q + 3.56. What is r rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 10) to base 2.\nAnswer: 1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 + 0.3. Let q = 36 + -41.05. Let j = z - q. Put -2\/9, j, -2 in decreasing order.\nAnswer: j, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 4*g**2 + 6. Let a(c) = 3*c**3 + 3*c**2 + 5. Suppose 24 = -7*p + 3. Let q = 1219 + -1215. What is p*k(o) + q*a(o)?\nAnswer: 6*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96468851?\nAnswer: 53, 277, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 272248*d**2 - 544490*d - 272244.\nAnswer: -2*(d + 1)**2*(d + 136122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124911 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -97473\nAnswer: -38989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 11*y - 2. Let w(h) = h. Let d(a) = -j(a) - 6*w(a). Suppose 0 = l - 1 - 9. Let k be (-3)\/(((-6)\/l)\/1). What is d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -3\/4 (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 14*d**2 - 48*d + 41. Let r be g(-17). Suppose -4*o - o = 80. Let f = r - o. What is the remainder when 35 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 120*o**2 - 23*o - 74. What is the hundreds digit of l(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65478.\nAnswer: 2, 3, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311103 + 1033?\nAnswer: 312141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5059\/2280 - 42\/19. Let s(m) be the third derivative of g*m**5 + 0*m + 0 - 1\/420*m**7 + 1\/1344*m**8 + 0*m**3 - 1\/96*m**4 + m**2 + 0*m**6. Factor s(k).\nAnswer: k*(k - 1)**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 13\/6, -270, -3, -489?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**5 - 5*b**2 - 7*b**2 + 3*b**2 wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -48, 244, 508, 738, 928?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11260864 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037 a factor of 127004020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:23 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11438618, 11438648, 11438678, 11438708, 11438738?\n\"Answer: 30*b + 11438588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 327\/3064 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 29. Let w be p(-8). Which is smaller: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 3. Suppose 378 = 12*w + 15*w. Put c, 3, w in ascending order.\nAnswer: c, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*j - j - 39 = 0, -30 = -2*v - v + 2*j for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -17. Let u = 7 - t. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21223373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 49. Let j = 19.9 + o. Which is greater: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242352 by -2448.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0 - 26. Let y = 53 + b. Let i = y - 7. Calculate the remainder when 57 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421 by 966.\nAnswer: 421\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 4*b - 1. Let c(v) = -v**2 - 3*v + 2. Let r(u) = 4*c(u) + 5*w(u). Let l be r(-7). Suppose 2*g - 3*n = -2, -6*n + 2*n + 1 = -3*g. Sort l, -2, g.\nAnswer: l, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(4\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 41*u = -36. Let w(g) be the second derivative of -1\/6*g**4 + 3*g**2 - u*g + 0 + 2\/3*g**3. Determine o, given that w(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 463561 and -0.3.\nAnswer: -139068.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35062833 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**1*v)\/v*v))**(-4)\/(v*v**8\/v*v**(-12\/5)))**(-28))**(-9) assuming v is positive.\nAnswer: v**(-2016\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2. Let n(w) = -w**2 - 7*w + 23. Let b(y) = -4*y + 14. Let q(c) = 7*b(c) - 4*n(c). Give i(q(z)).\nAnswer: -96*z**4 - 288*z**2 - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2\/4*-8. Let r be (-35)\/28*c\/(-2). Solve 21 = 4*h + r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 7*y + 4 - 2*y. Let a be (-15477)\/(-2948)*16\/(-14). Determine u(a).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/5 (b) -1503.9 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 180*y**3 - 2*y + 1. Let h be l(1). Suppose -2*p = -h - 3. Let t = p + -90. Which is greater: t or -3\/16?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -661518, -661216, -660714, -660012, -659110?\n\"Answer: 100*c**2 + 2*c - 661620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 3*a**5\/20 - 5*a**4\/6 + a**3\/2 - 38*a**2. Is b(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {u: 6, h: 2, c: 2, e: 1, r: 1, n: 5}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*y = -3, -2*y + 4*y = -2*b + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7555000 to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -0.4, -1.7602?\nAnswer: -1.7602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-72)\/(-27) + (-2)\/3). Solve -5*o + b = 10, -2*s + 3*o = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**3 - 45*y**4 - 8 + 45*y**4 + y**5. Find the third derivative of f(q) wrt q.\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2656 - 13609 + 1283 = 4994*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-144)\/(-1120)) + 6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + q + 17. Let d be v(0). Suppose 54*h = 55*h. Solve 4*a - 16 = 5*n - h, -a = 4*n + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 10*w - 17. Let a(x) = -x**2 + 9*x + 17. Let t(m) = 5*a(m) + 4*b(m). Let l be t(7). Solve o = -l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11370097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/61 + -138\/305. What is the smallest value in o, 1\/2, 9, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 2804 = 3104. Let z = y + -209. Solve -2*m = -2*k, 18 = 5*k + z*m - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:17 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -320 - 12a2?\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409370 by 3149.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 50 = -5*u. Suppose 0 = 5*x, 2*o + 3*x - 132 = 4*x. Let b = u - o. Is b greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(1\/10 - (85058\/2660 + -32)*-3)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 * 14802\nAnswer: 355.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + k = 5*k + 4, -4 = -k. Let x be (2\/(-3))\/((16\/18)\/r). Solve 0 = 2*c + x*h - 18, 4*h - 11 = 3*c - h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -122.66. Let d = 0.394 + v. Round d to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:51 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, l: 2, y: 5, s: 4}. What is prob of picking 1 s and 3 y?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 z, and 1 q when four letters picked without replacement from {q: 1, g: 1, p: 11, f: 1, z: 4}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, -25, -1182 in descending order.\nAnswer: 3, -1, -5, -25, -1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o + 2 = 0. Let t = 475 + -184. Is t\/(-6)*o*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p - 754*p - 141*p)*(-4*p - p + 4*p)*(-4 + 4 + 2*p).\nAnswer: 1756*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-8) - 4\/(-16). Suppose 2*n - 1182 = -4*q, 2*n + n - 894 = -v*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(2*g - 3*g - 13 + 4)*(70 - 70 - 4*g) in the form z*g**2 + i + t*g and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4\/7*c**2 - 144\/7 - 20*c = 0.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 102*m + 99. Let y(j) = -102*j - 97. Let c(r) = -4*g(r) - 3*y(r). Find the first derivative of c(d) wrt d.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 - t + 2. Let s be 78\/9 - (-18)\/(-27). Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + -22 + 97 - (-1 - (3 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 - 523*y**2 + 69*y + 516537?\nAnswer: -6*y**2 - 1046*y + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 3*g - g)*(-3 + 2 + 3) - 2 + 2 + 2*g + g + 2*g - 5*g - 5*g - g - 5*g as x + h*g and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(6804\/714)\/(-162)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1443 (base 5) to base 6\nAnswer: -1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 906546810.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3, -3, -33174\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 0.5, -82, -170, -4 in increasing order.\nAnswer: -170, -82, -8, -5, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 1. Let z be i(1). Suppose 4*d = 5*m - 3, -3*m + 24 = -8*d + 13*d. Let u(l) = 3*l**2 + 0*l**3 + 6*l**m - 7*l**3 + l. Give u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.8428706 rounded to two decimal places?\nAnswer: 47.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49377 = 5*g + 5*j - 124468, -4*g + 139068 = -4*j. List the prime factors of g.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(128) + sqrt(128) + -1) + 2)**2.\nAnswer: 32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 1, p: 6, o: 1, m: 6, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 8) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-29753 - -9)\/(-11) - -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 + 5 + (-6)\/3. Let o = 36 - n. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(28))**2 - (((2 + sqrt(28))*4)**2 - sqrt(28) - sqrt(28)) - (sqrt(63)\/sqrt(3)*2)\/(sqrt(12)\/sqrt(4)*-3).\nAnswer: -624 - 370*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = x. Let q(k) = -x + 0*k + k + 2. Give q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -35*c**3 + 10*c**2 - 13*c + 13. Let d(x) = -17*x**3 + 5*x**2 - 6*x + 6. Give -13*d(k) + 6*i(k).\nAnswer: 11*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.98 - -4.94. Let g = y + -0.731. Round g to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l + 3*l + (0 + 1 - 3)*(3*l - 5*l + 0*l) + 3*l + 4*l - 2*l)*(-2 - 5 + 5)*(-2 - 26 - 1).\nAnswer: 638*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 p when three letters picked without replacement from ppppxpppplppxpppppxp.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -59791 divided by 14\nAnswer: -59791\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3111517320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36a - 10?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -o - n - 4, -5*o + 18 = -4*n. Let p(r) = -2 + 1 - 463*r + 470*r. Let b be p(o). Is 13 != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 115?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/43, -0.2, -110\/9 in increasing order.\nAnswer: -110\/9, -0.2, 36\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -17505292?\nAnswer: -17505295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 5 - 6 - 2 + 1. Suppose -4*b = b - 35. What is the smallest common multiple of 3 and q(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 140, 186, 198, 164, 72, -90?\n\"Answer: -2*p**3 + p**2 + 79*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + r - 1. Let p(f) = 7*f**2 - 4*f + 4. Determine -5*k(u) - p(u).\nAnswer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdqcqqcbcqcbbbb. What is prob of sequence qq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*u - 18320, 6137 = 315*l - 314*l - 5*u. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(3*(-1)\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (609\/689040*80)\/((-2)\/(-54))?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**48)**(3\/28) assuming q is positive.\nAnswer: q**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 95411330 = -47*p - 68*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**3 - 964*u**2 - 5605.\nAnswer: -6*u**2 - 1928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:11 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 10*q - 96. Calculate the remainder when (54\/(-8))\/((-6)\/q) is divided by 14*1*1\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 0.5, 14\/5563, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.75706ug?\nAnswer: 1757.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 64958390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*v**3 + 36\/5*v**2 + 0 - 16*v - 2\/5*v**4 = 0. Calculate v.\nAnswer: -4, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 11:52 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -49. Suppose -46 = t*l - 130. Suppose 0 = -a + l - 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 210 = -20. Find the common denominator of 104\/132*(21\/g)\/7 and 79\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-86)\/1419 + 897\/99. Let i(q) = -q**3 + 9*q**2 - 2*q + 3. Calculate i(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5*y + 3*d - 4 = 0, 2*y + 4 = 5*d. Let t be 252\/y + 2 + -2. Suppose -3 - 9\/2*a + 27\/2*a**4 - 75\/2*a**3 + t*a**2 = 0. Calculate a.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79446598 take away 5?\nAnswer: -5.79446598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2288, 2363, 2460, 2579, 2720, 2883?\nAnswer: 3068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from grovrrgzogggogogvr.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*y**4 + 915*d*y**2 - 89*y**6 + y**5 wrt y?\nAnswer: 48*d*y - 10680*y**3 + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - n - 10*n - 5*n as b + a*n and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4*9)\/(-1))\/(19\/171*18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 1\/20*j**5 + 0 - 3*j**2 + 0*j**4 - 1\/2*j**3 + 0*j. Factor s(h).\nAnswer: 3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 82 - 74 - (-5 + 9 - 4596).\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5452 and 638.\nAnswer: 59972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1))**(-7))**(-2\/77))**(6\/7) assuming o is positive.\nAnswer: o**(-12\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (-78)\/143 + 320\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*y = -56, -3*y + 170 + 154 = -16*a - 13 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (940\/(-282))\/(2\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (169 - 179) + (4 - -2) + -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 28. Let o = -10 - l. Let g(p) = p - 7 + o. Let n(v) = 5*v**2. Calculate n(g(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 1. Let m(j) = -8*j**3 - 20*j**2 + 22*j - 3. What is 3*c(z) - m(z)?\nAnswer: 8*z**3 + 20*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 735 + -521. Let a(x) = -x**3 - 11*x**2 + 11*x + 123. Let p be a(-11). Suppose 5*u - 4*c = 563, -4*c + y = -p*u + 4*u. Does 37 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(1\/6)\/(h\/h**(6\/5))**(-35))**13 assuming h is positive.\nAnswer: h**(-806\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z. Let n(c) be the first derivative of -3*c**2\/2 - c - 4623. Determine -4*k(s) - 5*n(s).\nAnswer: 3*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 + 3*t + 2. Suppose -2*b - 3*b = 20. Let n be v(b). Let g be n\/(-3) - (-1)\/(-3). Solve 0 = 4*k - 3*l - 9, -g*k + 3*l = -2*k - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -53*o**2. Let r(t) = -4*t**2. Calculate r(x(m)).\nAnswer: -11236*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 35 = -643. Let c be -75*(-7 - w\/12). Calculate the highest common divisor of 120 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + sqrt(147) + (2 + sqrt(147))**2 + -4 - (2 + sqrt(147)*-2 + sqrt(147)).\nAnswer: 49*sqrt(3) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let a be 0\/((-1)\/(1\/b)). Let u = 45\/2 - 231\/10. Is a > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -13 - (-2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 39*v**4 + 3*v**3 + 19*v. Let i(q) = -40*q**4 - 4*q**3 - 19*q. Let t(n) = -3*i(n) - 4*k(n). What is the second derivative of t(j) wrt j?\nAnswer: -432*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-2 - 2 + 2*h + 3).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/31 + 7\/124. What is the third biggest value in 1\/2, n, 16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 33*x - 4. Let y be o(-7). Let n = 208 + y. Solve -3*d + d - z - 7 = 0, -n = 2*d - 4*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 29*y**2 - 224*y - 61. Calculate j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 21 + 5. Suppose -d = 2*w, 3*z + 16 = 3*w + 49. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -1 - 0. Let v(g) = 2*g + 5 - g - h. Is v(0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*(-48)\/(-9504)*(-40)\/6.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*v + 319 + 345, -3*a - 4*v + 619 = 0. What is the remainder when a is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203649667439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10*l - 23 = -7*l, 12 = -4*i + 4*l. Find the common denominator of (282\/(-24) - i)*4\/24 and ((-3)\/(-4))\/((-6)\/106).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1048186\/55 - -19057. Find the common denominator of 48\/7 and v.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/12 - 52\/(-12) - -174.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6055255, -12110513, -18165771, -24221029, -30276287, -36331545?\n\"Answer: -6055258*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - -18. Let q(a) = a**3 - 23*a**2 - 12*a + 40. Let u be q(24). Suppose u + 232 = 20*z. What is the remainder when w is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((41\/(-12))\/(-41))\/((-1*(-5)\/20)\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20*(1 - (-3)\/(-2)). Let i(x) = -x**2 + 9*x + 15. Let p be i(n). Let z(d) = 1 - p*d + 3*d + 4*d + 0*d. Determine z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and 0.4.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 106*w + 1422. Calculate t(-90).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*w - 4*g, 13*g + 6 = w + 11*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 26199 = f - 3394, -2*o - 147827 = -5*f. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110100101010100110 (base 2) in base 3?\nAnswer: -2101020021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -5)*54\/(-15). Let c(z) = 2*z + 40. Let w be c(s). Let n be -6*(w\/(-8) - -3). Round n to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-4)\/(-9)*810\/(-180).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h - 120 = 0. Suppose -3*g - 388 = -7*g. Let i = g + h. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g + 1. Let w be x(1). Let q = w + 20. Solve -18 - q = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.77\nAnswer: 0.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2240\/43904*12\/(-60)\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 13*t**2 - 3*t - 36. Let h be u(11). Let v = h + -128. Which is smaller: v or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -5*17\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 9*k - 9. Let s be l(-7). Suppose 0 = -4*g + 5*w + 33, -g - s*w = g + 21. Solve 3*m - 10 = g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 54*n**2 - 102*n**2 + 27*n**2.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-16)\/(-20))\/((-10)\/(-1425))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**3 + 52*f**2*k**2 - 2*k**2 - 57 wrt f.\nAnswer: 12*f**2 + 104*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 681.00002426 - 681. Round u to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604085079?\nAnswer: 3, 13, 15489361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzmlzzlmjmzzzjljl. Give prob of picking 1 z and 3 l.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5\/3 - 2*y**4\/3 - 22*y**3\/3 - 14*y**2\/3 + 20*y\/3 + 16\/3 = 0?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-7)*u)*u*u\/u**(2\/17)*u*(u*u**(5\/3))\/u*u**(3\/16) assuming u is positive.\nAnswer: u**(9577\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -2*f**2 - 1\/15*f**5 + 1\/6*f**3 + 1\/12*f**4 - 2*f + 0. Let t(i) be the first derivative of h(i). What is t(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -79\/242550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2703 - -4060. Let b be (21\/2)\/((-2)\/(-452)). Suppose 2*u = d + b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16775 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 3. Let w be c(-7). Let s(o) be the first derivative of o**3 - 7*o**2\/2 + 7*o - 48. What is the remainder when 52 is divided by s(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 12*p**2 + 35*p - 15. Let l be y(6). Suppose w + 19 = -5*q, 3*q - 5*q = w + 10. What is the nearest to 0.1 in q, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:30 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 64 - 15 = -c, -29*q + 28*q = 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*o + 5 + 9 = 0, -i + o = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 3*v**2 - 3*v - 2. Suppose 0 = -u + 7 - 4. Let t be y(u). Suppose b + t = 6*b. What is the greatest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526211 is divided by 199.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -407.437 and -291.\nAnswer: -698.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 1197 = 1203, -3*f = -a + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15. What is the second smallest value in 5, o, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 63 + 59 + 42 - 33 - 616*m**2.\nAnswer: -616*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 129. Calculate the remainder when b is divided by (-4 + 5\/(-4))*-4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/28)\/1)\/(2\/(-56)*-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5*v - 5 + (5*v - v + 6*v)*(-1 + 1 - 1) in the form t*v + k and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 4. Let x(l) = -3 + 1 - 6 + 6*l**2 - 4*l + w. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25002.951 months?\nAnswer: 208.357925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(-2 + -3*sqrt(931))**2.\nAnswer: 3024*sqrt(19) + 301788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/2, 0, 1\/4, 0.67.\nAnswer: 0, 1\/4, 1\/2, 0.67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-9))\/((-1)\/15). Suppose -4 + 3 = -3*b + i*h, 3*b = -h + 25. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/6 + 2*u - 2. Let w(p) be the first derivative of v(p). Let o(s) = s + s - 4*s. Determine w(o(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let m(u) = -u**2 - 1. Give -2*m(w) - r(w).\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1553 or 1547?\nAnswer: 1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94524277757 + -0.1.\nAnswer: 94524277756.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224886362*x**2 + 259708382 wrt x?\nAnswer: -449772724*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9476*t**2. Let d(i) = 18*i**2. Give v(d(a)).\nAnswer: -3070224*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -5, 1, -68, 5, 2 in descending order.\nAnswer: 5, 2, 1, -5, -33, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6336957?\nAnswer: 3, 11, 192029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -600 + 9487. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0.3635, 2 in ascending order.\nAnswer: -35, 0.3635, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5123 + -10091. Let w = -3104066 - -24872345\/8. Let f = w + m. What is the common denominator of f and -89\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17451964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134852 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*q - 84, -11 + 2 = -3*q. Let j = 35 - s. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281952 bigger than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 2*t + 0*t)*(-4 + 5 - 2) + 2 - 2 + 4*t + (-1 - 2 + 2)*(-4*t + 5*t + t) to the form k + a*t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 - 4*g**4 - g**2 + 8*g**4 - 28*g + 28*g in the form f*g**4 + d*g + h*g**2 + z*g**3 + p and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14225 or -10256?\nAnswer: -10256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -15. Suppose 4*t + 10 = -2. What are the prime factors of (-2)\/t*m\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 323*i + 2. Let r be z(0). Solve -2*a = 4*o - 7 - 11, 0 = r*a - 4*o - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -86\/23353?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3658 - -10d13?\nAnswer: 1456b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 5. Suppose s + x = -14, -s = 3*s + 2*x + 60. Let j = -22 - s. Give r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 - 24*f**3 + 70*f**2 = 0. Calculate f.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**10*o**17*o**(-9)*o**(3\/4) assuming o is positive.\nAnswer: o**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9970\/12971 + -3\/763. Let j = y + 45\/119. Factor -8\/7*u + j + 2\/7*u**2.\nAnswer: 2*(u - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 2*k)*(-4 + 3 + 2)*(-k + 3*k - 3*k)*(-4*k - 23*k - 16*k).\nAnswer: 43*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359462 to the power of 1\/2, to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.167 + -0.166998348. What is h rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*x + 22, 3*s + 2 = 3*x + 2*x. Suppose -4 = 3*o + 2. Let d be (-1 - 1) + o\/(-1). Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftallfftffffll. Give prob of picking 3 f.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 33*v + 695. Let l be j(-21). Let a(x) be the third derivative of 10*x**l - 1\/2*x**4 + 0 + 0*x + 1\/2*x**3. What is the first derivative of a(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, 51, 559?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1796 (base 12) to base 2.\nAnswer: 101100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(75) - -2*sqrt(75)*-4) + -3)**2*-6*-2.\nAnswer: 15120*sqrt(3) + 1587708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:47 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 11361\nAnswer: -90888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 2. Suppose 3*w = 3*p - 3, 4*w + 4*p - 2*p = 26. Let s be a(w). Determine y so that -2*y**4 + 10*y**s - 10*y**2 + 2*y**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 35*q = 184 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - y - y**2 + (-1 - 3 + 6)*(-4*y**2 + 0*y**2 + 5*y**2) - y**2 + 3*y**2 - y**2 - 5*y**2 + 2*y**2 + 14*y**2 + 14*y**2 + 2*y + 47*y**2 + 6*y**2.\nAnswer: 80*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11985497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -18*c**3 - c**2 + 4*c + 5. Let z be -3*((-35)\/15 - -3). What is the tens digit of r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeyenefgggfefgey. Give prob of sequence gynf.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 9:11 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 4*q. Suppose 9*w - 11*w + 154 = q. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361240101 divided by 150957?\nAnswer: 2393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 + 88*w**3 - 708*w**2 + 2480*w - 3200 = 0. What is w?\nAnswer: 4, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146761504?\nAnswer: 2, 4586297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 1313 = -4*f + 5*i, 5*f - 1645 = 5*i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 2*p**3 + 2*p**3)*(-1 - 5 + 0) - 3*p**3 + 4*p**3 + 7*p**3 - p**3 + p**3 + p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4127024687.\nAnswer: 83, 49723189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m - 2. Let i = m + 8. Let o = -20 + 22. Solve 0*n + 4*f = -i*n - o, f = -3*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106909*i**5 + 2*i**2 - 679325*i wrt i?\nAnswer: -2138180*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4149 by -1383.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -165984 + 720*r + 165984. Let y(h) = h. Give f(y(p)).\nAnswer: 720*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n**2 - n - 1. Let h(c) = 21*c**2 + 3*c + 2. Determine 2*h(q) + 5*o(q).\nAnswer: -8*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-56)\/10)\/((-20)\/200). Calculate the highest common factor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*2*(-1)\/(-2). Suppose q - 5*q - j = 0. Let g = q + 6. Solve 2*f = g*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3 + 15*m**2\/2 + 72*m - 138. Suppose j(l) = 0. Calculate l.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/2 smaller than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 7*f. Let s be m(-3). Is 43 a factor of ((-9)\/s)\/((-6)\/(-16)) + 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -1\/2*b**2 - 1\/6*b**3 + 1\/3*b**4 + 0 + b. List the prime factors of i(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, y: 2, a: 1}. What is prob of sequence cya?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*d - 45*d + 14*d - 588 - 3*d**2 + 51*d.\nAnswer: -3*(d - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7466711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**40*h*(h\/(h*(h*h\/(h*h**1))\/h)*h)\/h*h assuming h is positive.\nAnswer: h**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 6)*(-16*s**2 - 7*s - 4*s + 15*s**2 + (0*s**2 - 3*s**2 + 0*s**2)*(-4 + 1 + 4) + 3*s - 2*s**2 - 3*s).\nAnswer: 54*s**2 + 99*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 344679458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*a + 12 = -211*a. Suppose -4 = -v, -1632 = a*y - 5*v - 5884. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 12. Let d be ((-2)\/(-6)*21)\/(-1). Let u = v + d. Solve 2*z + u = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 - 11*g + 31. Let x be l(-5). Let w(m) = m**2 - 17*m + 125. Calculate the remainder when 233 is divided by w(x).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-44)\/(-96))\/(21\/1176*-14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 2*y - y**2 + 8*y - 3*y.\nAnswer: -y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35915803\/3 + 54053259179\/4515. Let c = -3\/301 + r. What is the common denominator of c and 31\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/6))\/j*j**(-1) assuming j is positive.\nAnswer: j**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 4*u + 2*u - 2 + 2*u**2 in the form c*u + s + v*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154993 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: Let i be 10 + (0 - 2736\/(-9)). Let k be -2 + (-142)\/(-66) - i\/(-1727). Find h, given that -4*h - 2*h**3 + 13\/3*h**2 + 4\/3 + k*h**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*h**2 - 6*h**2 + 0*h**3 + 2*h**3 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1001 - -0.05.\nAnswer: 0.1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -6, 0, -5.\nAnswer: -6, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*l + 5 + 31, l + 20 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -11*w**3 - 2*w**2 - 1 + 5*w**2 - 2*w - 3*w**2. Let p be d(-1). Suppose x + p = 2*x. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 3abc2a?\nAnswer: 3abc2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*a = 15, -4*a - 16 = 3*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 980 and 980.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((180\/(-96))\/5)\/(6\/4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -302.74745 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4924 - -5280. Calculate the highest common factor of h and 2581.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*b + 46 - 36 = 0, 2*x + 4 = -4*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 3*x + 2*x + 7, -2*x - 6 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1695785 divided by -18635\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.63 + 196\nAnswer: 196.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 288*k + 388*k**2 + 80 + 99*k**3 + 4*k**5 + 0 + 15*k**4 + 45*k**4 + 137*k**3.\nAnswer: 4*(k + 1)**3*(k + 2)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017750277 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 989844 by -6.\nAnswer: -164974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/((sqrt(108)*4)\/sqrt(9)))\/(2*sqrt(144) + sqrt(4) - sqrt(100)*2))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.1195 hours in seconds?\nAnswer: 2495230.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17550 and 3050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24 + -5 + -4 + 18. Solve -29 + f = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/231)\/(18\/27)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -181 and -0.4.\nAnswer: 72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -673*x + 4721, -76*x - 2 - 24 = -21*d + 20*d - 80*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose -3*i - 7 = h. Does 13 divide (-1309)\/(-63) + i\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 71009.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14148067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = -3*s + 2166, 0 = -5*s - 4*f + 3655. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 4*g + 197*g**2 + 400 - 396. Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8060940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -38, 0, -3, -1.34, 0.03.\nAnswer: -38, -3, -1.34, -0.3, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 7*x + 78. Let u = -913.03 + 918. Let v = -0.03 - u. What is the smallest value in v, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r**5 - 5012*r**4 - 55432*r**3 - 96337*r**2 + 140412*r - 38880 = 0.\nAnswer: -8, -15\/4, 1\/2, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4*g + k - 11, -5*k + 11 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + z + (0 + 2*z + 0)*(1 + 1 + 0) + z - 2*z + 0*z + 14*z - 9*z - z + (1 - 1 - 1)*(-1 + 1 - z) in the form h + u*z and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 2. Let w(m) = m**2 - m - 1. Let p(n) = -s(n) + 5*w(n). Let t(j) = 2*j + 3. Let d be t(-3). What are the prime factors of p(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + (-36)\/(-10). Let f = 1 - c. What are the prime factors of -1 - f - (-1 - 7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 4)*4\/3. Suppose -d*y + 4 + 4 = 2*u, 8 = 4*y - 5*u. Let j(o) be the second derivative of -o**3\/3 + 3*o**2\/2 - 6*o. Determine j(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -26 (b) 73 (c) -2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f + 0*f + 0*f + (2 + 0 - 4)*(4*f + f - 6*f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -3*k. Let y be (-1)\/k*(-5 - -15). Let m = 14 + -9. Is m at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 4*n + 12, -1 = 24*x - 25*x + 3*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 + -336. Calculate the remainder when u is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426417*a + 203841 = -428476*a for a.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30003, 30004, 30005, 30006?\n\"Answer: l + 30002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138901 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4185*i + 651*i**3 - 5*i**4 + 705*i**2 - 626*i**3 - 3673 + 0*i**4 - 1187.\nAnswer: -5*(i - 9)**2*(i + 1)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s + 4. Let y be r(3). Let v be y\/3 + (-36906)\/(-9). Round v to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 377*o - 3380. Calculate a(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 228, -2, 3, -5, 163 in ascending order.\nAnswer: -5, -2, 3, 163, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -34. Let r(k) be the second derivative of 5\/12*k**3 + k - 1\/2*k**z - 1\/8*k**4 + 0. Let r(o) = 0. What is o?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 42*a**2 + 1. Let u(o) = 43*o**2 + 1. Let r(d) = -3*i(d) + 2*u(d). Suppose 9*v - 5 + 9 = -5. Calculate r(v).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(3))\/sqrt(6) + (sqrt(1008) - (-1 + sqrt(1008))) + sqrt(1008))**2.\nAnswer: 26*sqrt(7) + 1184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 + 4*p + 10. Let y(l) be the third derivative of l**6\/60 + 7*l**5\/60 + 7*l**4\/24 + 19*l**3\/6 + l**2 - 2*l. What is -7*n(a) + 4*y(a)?\nAnswer: a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252) + -2)**2 - sqrt(252))*5 + (2*sqrt(252)*3)**2 + 5 + 5.\nAnswer: -120*sqrt(7) + 10362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3187*q = 3185*q - 52, 4*q + 108 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:51 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/20 + 11*l**3\/6 + 14*l**2. Suppose -11*d = 13*d + 5160. Let k = 219 + d. Let t(x) = -x**2 + 4. Give k*h(a) - 11*t(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1+1.527023427379\nAnswer: 0.527023427379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 10. Let y(q) = q**2 + 7*q + 12. Let f be y(w). Which is the closest to 1? (a) 0.3 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 180*c**2 - 31*c - 1031. Let n be o(-41). What is n rounded to the nearest one thousand?\nAnswer: 303000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/5 - 59066*b**3\/5 + 460686066*b**2\/5 - 357817583142*b\/5 + 71471391228 = 0. What is b?\nAnswer: 1, 870, 14331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 + 44 + 11 + 15 + -11?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + u + 795 = 0, -2*x - 23*u + 547 = -18*u. List the prime factors of x.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, -132, -311, -494, -681, -872, -1067?\n\"Answer: -2*w**2 - 169*w + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1394*t - 1015*t - 1028*t to the form z + o*t and give o.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*q = 11, 6*v + 11 = 9*v - 5*q. Let o = 29\/7 + -167\/42. Which is the nearest to 0.1? (a) v (b) o (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 331230 = -15*k - 4*k. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 28. Let a be c(-7). Find the second derivative of a*s - 7*s - 2*s**3 - 35*s - 28*s**3 wrt s.\nAnswer: -180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 11:45 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3369463 to the nearest integer?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2985379.7735688 - -2985383. Let s = r + -0.526438. Let f = 2.7 - s. Round f to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-574)\/(-252))\/(-41))\/((-44)\/48).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 174, 373, 572, 771, 970?\n\"Answer: 199*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*t**4 + 5*a*t**3 + 191*a*t**2 + 102*t**4 + t**3 - 128*t**2 wrt t.\nAnswer: -24*a*t + 30*a + 2448*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.2, -2 in increasing order.\nAnswer: -2, 0.2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 562372765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 + 145 = 14*b. Suppose 0 = 4*v + 3*c - 31, 2*v + 5*c - 41 = -2*v. Let x be v*-3*(-2)\/6. Solve -b*o + 3 = 3*n - 18, -x*o + 13 = -n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1921218 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1216) - ((sqrt(1216)*3)**2 + -3)).\nAnswer: -10941 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let l(h) = 4 - 4*h**2 + 2 - 2 - h**2. Let c(r) = -4*r**2 + 3. Let w(t) = -4*c(t) + 3*l(t). What is y(w(n))?\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.403031 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(180) + 2 - -1*sqrt(180)*-3) + (0 + sqrt(180) + sqrt(180) + 1 + sqrt(180) - (sqrt(180)*3 + sqrt(180) + 4))**2.\nAnswer: 24*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192 - (-6 + 2 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 1 = -3*w, -3*w - 3*j = -15. Suppose 5*y - h = -98 + 613, 0 = 4*y - 5*h - 391. Let u = y + -102. Sort u, 14, w in descending order.\nAnswer: 14, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 19 in descending order.\nAnswer: 19, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(91) - (sqrt(91) + 3*(sqrt(91) + sqrt(91)*1))))\/(sqrt(14)\/(sqrt(8)\/sqrt(4)) + -2*sqrt(448) + sqrt(448)))**2.\nAnswer: 16848\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/29 + -53\/174. Let l = -158 + 167.7. Let u = l + -4.7. Which is the second smallest value? (a) n (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -193614085, -3, 4 in ascending order.\nAnswer: -193614085, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2)\/(-9)*(-114)\/(-190)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 914337571 to the power of 1\/3, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(6) - sqrt(6) - (sqrt(6) - 2*sqrt(6) - sqrt(6))*6)\/(-2*(sqrt(200) - (-3*sqrt(200) + sqrt(200) + sqrt(200))))*2.\nAnswer: -23*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1011110011000111?\nAnswer: -1011110011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19567963 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9904, 9906, 9908, 9910?\nAnswer: 9912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 + 181*f - f**2 - 3*f**2 + 4526*f.\nAnswer: -4*f**2 + 4707*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4504 divided by 1126.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29886 + -29322. What is the remainder when p is divided by 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.8. Let x = -2219 + 2219.1. What is the biggest value in 5, o, x, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(120) + (sqrt(120) - -1*sqrt(120))) - sqrt(120))\/sqrt(2))\/((sqrt(96) + (sqrt(96) - -3*sqrt(96)))\/sqrt(8)*-1) + 3.\nAnswer: -14*sqrt(5)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640898312 and 282417.\nAnswer: 1922694936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7113 + 14222 - 4*t + 34*t**2 - 7109.\nAnswer: 34*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = -99*q + 22*q - 88. What is the nearest to q in 2\/15, -3\/5, -12, -1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 - 5770043.77?\nAnswer: -5770045.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 181.1. Suppose 4 = x - 4*y + 7, 4*y + 17 = 5*x. What is the closest to 1\/4 in x, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 0 - 8) + -79 + (53 - 40).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2641214 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -104*h + 12806. Determine c(124).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdddblbdbll. Give prob of sequence bdlb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8706 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 206745 (base 8) to base 4\nAnswer: 100313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -91*r**3 - 18*r**2 - 9*r + 10. What is a(-1)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - 130. Let s = 3 - -5. What is the least common multiple of z and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 2\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Let b = f + -7. Let d = b - -2. Does d = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from unrrcunrrucrurcnc.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1565907, -3131789, -4697671, -6263553, -7829435?\nAnswer: -9395317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 13*z**2 - 10*z - 15. Suppose 6*d = 23 + 49. Calculate i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003773416193 rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 1\/25, -49, 0.1, -0.0491?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 333743 a multiple of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 - 120. Suppose 3*l - 16 = -5*p, 14 = p - q*p + 9*l. Is p at least as big as -0.037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*c + 3 = 0, 3*c = -0*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f - 3. Let w(v) = 8*v + 2. Determine 3*m(h) + 4*w(h).\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Let g(a) = -a**3 - 10*a**2 - 42*a - 203. Let q be g(-8). Solve -b*r = -3 - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1532228 to 4 dps.\nAnswer: 0.1532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -34*w - 61. Let y(m) = 13*m + 1272. Let c be y(-98). Determine a(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145\/4 - -36. Suppose m = -2*m + 24. Calculate the common denominator of (-97)\/6*6\/m and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 49*r**3 + 13*r**3 - 6*r + 12 as q + u*r**3 + l*r + o*r**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*f + 203 + 594*f**5 + 49*f**5 - 204 wrt f.\nAnswer: 12860*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 0 + (-1 - -3 - (5 + -5))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 56. Suppose -2*x - 5*p = -65, 5*x - 2*p - 100 + 10 = 0. Suppose 28 = l*z - x. Calculate the highest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c8a + -5c?\nAnswer: -5d08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.804 + -0.034. Let w = 0.43 + z. Let k = 0.2 - w. Which is smaller: 16\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.5 + 176.5. Let k = q + -152.8. Which is the closest to 0? (a) 4\/7 (b) -4\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**3 + 6*w**2 + 4*w - 5. Let k(t) = -15*t**3 - 13*t**2 - 9*t + 11. Let u(z) = -9*g(z) - 4*k(z). Give u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-2\/7)*k)\/k)\/(k**8\/k)*(k*k**1\/k)**29)\/((k**(-1)\/(k*k**(3\/8)))\/(k*k**(-6)*k*(k\/k**2)\/k)) assuming k is positive.\nAnswer: k**(1069\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805272 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0802462 millilitres to litres.\nAnswer: 0.0000802462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 38651*s - 38677*s + 3. Suppose s - 4\/5*q**4 - 16\/15*q**2 + 0*q + 2\/15*q**5 + 8\/5*q**3 = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 140\/(-8)*(3 - 1). Let u be 10\/f - 36\/(-28). Let a = -1\/43 - 81\/215. Is a less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2 + 4*k + 2 - 5*k**2 + 15*k**2. Let l be o(-1). Suppose 9*c - l*c - 27000 = 0. What is c rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 5, b: 2, f: 1}. Give prob of sequence vttt.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isikcckicisicksik. Give prob of picking 2 k and 2 c.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42497227696874 - 0.\nAnswer: -42497227696874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18768 + 18788 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24326 + 24250. Sort z, -4, 9, 0 in ascending order.\nAnswer: z, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - 12*i + 126. Let x be 2 + 18\/14 + 12\/i. Which is the fourth biggest value? (a) -3\/2 (b) x (c) 0.5 (d) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 33 = 95. Let z = d - 28. Suppose -a - 2*s - s + 52 = 0, -z*a = -4*s - 117. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 7821.\nAnswer: 78210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/110)\/((-3)\/45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(686)\/sqrt(7) + 4.\nAnswer: 4 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h - 2*h - 15*h)*(-2 + 1 + 2)*(39 + 24 + 21) to d*h + w and give d.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 640*w**5 - 751*w**2 wrt w.\nAnswer: 38400*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11271.3 and -5?\nAnswer: -56356.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*v + 163. Suppose -9*k = -5*k - v. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 144.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from dopcxopbobdxxxd?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:48 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 151865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24*200\nAnswer: -4800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*a - 4*v, -5*a + 3*a = v - 110. Suppose s + 2 = a. Suppose 4*o = s + 27. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001075893797 rounded to five dps?\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1083 from 9411312.\nAnswer: 9412395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.5, 3 in descending order.\nAnswer: 27, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201558 by -18.\nAnswer: 33593\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.109, 19, 22, -0.2, -1\/3 in ascending order.\nAnswer: -1\/3, -0.2, 0.109, 19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -13) + 2 + (14 - 52 - 3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 7485 - 7506 + 4*w. Give f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1864 + 3758. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(2) - sqrt(2))*-1)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -144.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 - (-9 + 3)) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 1372, 2199, 3026?\nAnswer: 3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2692021 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-104)*912\/1216*16\/(-42)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3366 and 56052315?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0570241 to 4 decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102714748*g**4 - 56823233*g?\nAnswer: -1232576976*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4*f + 6*f)*(-2*f**3 + 0*f**3 + 4*f**3) - 4463*f + 31*f**4 + 4463*f - 5*f**2.\nAnswer: 35*f**4 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -216, -3, 3 in increasing order.\nAnswer: -216, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(1921*f**2 - 33*f - 37*f + 70*f + 189*f**2).\nAnswer: -4220*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k**3 - 2*k**2 - 57*k + 11. Let f(n) = 17*n**3 + 2*n**2 + 59*n - 10. What is -6*c(o) - 7*f(o)?\nAnswer: o**3 - 2*o**2 - 71*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -2*y + 549. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**3 + 3*r**3 + 5*r**4)*(0 + 3 + 0) + (10*r - 10*r - r**2)*(-r + 2*r**2 + r) to the form g*r**4 + d*r**3 + f*r + k + m*r**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m\/m**5)*m*m*m)\/(m**(1\/2)*m))\/(m**1*m)**44*(((m**1\/m)\/m)\/(m\/((m*m**1*m)\/m)*m*m))\/(m*m*m**(1\/3)*m*m**3*m*m) assuming m is positive.\nAnswer: m**(-551\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p. Suppose 2*q + 4*v + 10 = 0, -q - q + 3*v = -11. Let l(k) = -3 - 7*k**2 - q + 4. Determine l(y(b)).\nAnswer: -112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010012 - -2201?\nAnswer: 2012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.82 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 5*c**2 + 3*c - 1. Let q be a(4). Let s(g) = -5*g - 6. Calculate the remainder when s(q) is divided by (-16 + -15 + 21)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1152 - 0.038.\nAnswer: -1152.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48280827, 48280844, 48280873, 48280914, 48280967, 48281032?\n\"Answer: 6*o**2 - o + 48280822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6553 and -285.652432.\nAnswer: -286.307732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -518, -531, -550?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16031, -64145, -144335, -256595, -400919, -577301, -785735, -1026215?\n\"Answer: u**3 - 16044*u**2 + 11*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -63*d + 28. Let v(a) = -a - 1. Let r(j) = -l(j) + v(j). Let c(y) = -93*y + 43. Let p(k) = -5*c(k) - 8*r(k). Is p(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/36 and -143\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*u**3*z**4 + 36*u**3*z - 80*u**2*z + 2*u**2 - 3*u*z**3 + 2474140*z**4 + z**2 - 258*z - 1 wrt z?\nAnswer: 408*u**3*z - 18*u + 59379360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5\/7 + 48*z**4\/7 - 460*z**3\/7 + 184*z**2 - 1488*z\/7 + 608\/7 = 0 for z.\nAnswer: -19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62099 is divided by 634?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 125 = -3*p, -443*h + 11 + 89 = -447*h + 17*p for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 1\/4*u**5 - 6*u + 13\/12*u**4 + 0 + 28\/15*u**3 + 8\/5*u**2. Factor p(r).\nAnswer: (r + 1)*(5*r + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75888117?\nAnswer: 3, 2810671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100201101 - 11?\nAnswer: 100201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4169, 15384, 33623, 58886?\n\"Answer: 3512*z**2 + 679*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4811, 9264, 13717, 18170, 22623, 27076?\n\"Answer: 4453*a + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2 + 1 + 0. Suppose 0*r + 5*r - f - 110 = 0, 0 = x*r + 3*f - 84. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 - 16*q + 15)*(11 - q + 4*q**2 - 11).\nAnswer: -64*q**3 + 32*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3678926769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14124413 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5*(-30)\/(-4). Let n(o) = -2*o**3 + 6*o**2 + 6*o + 1. Let w(t) = t**2 + t. Let b(u) = s*w(u) + n(u). Find the first derivative of b(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c58 (base 13) in base 14?\nAnswer: 251d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k + 2*y, 2*k - 6 = -2*y. Find the second derivative of 4*p**2 + 4*p**k - 4*p**2 - 8*p - 2*p**2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 - 78. Suppose 0 = 4*u + i*z - 8, 0 = 2*u - u + z - 2. What is the greatest common factor of u and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6981.\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9\/4, -1, 1\/4, -2431?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-10)*r**(5\/3))\/(r*r\/r**(-6)*(r*r**(-4\/5))\/r) assuming r is positive.\nAnswer: r**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15889306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, e: 3}. What is prob of sequence ef?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18248 is divided by 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Let q be 5 - 7\/((-126)\/24)*-3. Let r(p) = 2*p + 5. Give q*r(b) - 5*o(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 14, 13?\n\"Answer: -h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2783 divided by -606.\nAnswer: -2783\/606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -28*q + 17. Let j(i) be the third derivative of -7*i**4\/12 + 3*i**3\/2 - 2*i**2 - 20*i - 3. Determine -11*j(p) + 6*m(p).\nAnswer: -14*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0*o + 8*o + 45 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**2\/2 - 3879*i - 4081455\/2 = 0.\nAnswer: -1851, -735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12121193*h**3 - 79599854*h**2?\nAnswer: -72727158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 467\/6. Let u = -0.1 - -0.1. Let h = u - 4. What is the second biggest value in h, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {q: 4, g: 9, z: 3, o: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -283439, -2267515, -7652861, -18140111, -35429899, -61222859, -97219625?\n\"Answer: -283439*k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 - 99\/(9 - 18). Let b(d) be the first derivative of 1\/6*d**3 - 5\/4*d**2 + 2*d - z. Factor b(n).\nAnswer: (n - 4)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126261992 a multiple of 4454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6784 and 52.\nAnswer: 88192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802 a factor of 72393899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1777, -1631, -1483, -1333, -1181, -1027, -871?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313025790?\nAnswer: 2, 3, 5, 7, 11, 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 10:15 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 4*n + 130 = 0, 764*a - 379*a - 381*a - 10 = n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 - 8. Let q(d) = -22*d**2 - 5*d - 7. Let u(x) = 13*x**2 + 3*x + 4. Let n(i) = -3*q(i) - 5*u(i). What is -2*n(a) - 2*z(a)?\nAnswer: 2*a**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 771 + -769. Let p = -600269\/34 - -17658. Let u = 2221\/374 - p. Is u less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72908 by -93.\nAnswer: 72908\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1. Let y(u) = -u**3 - 9*u**2 + 4*u - 16. Let z(t) = -4*k(t) - y(t). What are the prime factors of z(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190636648?\nAnswer: 2, 23829581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 3, m: 2}. Give prob of picking 3 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.9452 + -16.0452. Let l = -3 - -3.2. What is the closest to 2\/7 in c, 2\/13, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*((-186)\/(-12) - 16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8275 (base 12) to base 16\nAnswer: 3779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162708 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/632 and 18\/11.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhibq. Give prob of sequence qqbi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*2*145\/(-58).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 18*t - 4*v = -28173, 4*v = -4*t + 22540. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755098.3 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k, -4*y + 4*k - 10 = -7*y. Suppose -y*v = -6*v + 748. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8\/11)*h)\/(h\/(h\/((h**(-2\/63)*h)\/h)))*h**18\/h**38)**(-1\/64) assuming h is positive.\nAnswer: h**(3239\/11088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -3 - 1\/20*s**5 + 2*s**2 + 0*s**3 + 46*s - 1\/4*s**4. Factor z(d).\nAnswer: -(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053694 to 4 decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*u - 22*u + 28*u)*(1 + 4 + 8 + (-4 - 4 + 6)*(-1 + 3 + 0)) to the form b + o*u and give o.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 56.5, -5, -0.1, -12.\nAnswer: -61, -12, -5, -0.1, 56.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(21\/18))\/((-39)\/19110*-35)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 3*t**2 - 2*t**2)*(0 + 2 - 1) + (-t - 1 + 1)*(0 - 2*t + 0) - t**2 + 3 - 3 - 64*t + 64*t - 27*t**2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66735701, 133471399, 200207097, 266942795?\n\"Answer: 66735698*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 62 - 14 = 0. What is the second derivative of i*o**5 - 5*o - 7*o**5 + 0*o wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjpxppjpb. What is prob of picking 1 j and 3 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321253357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3798*u + 3803*u - 32*z = -35 - 3, 0 = 2*u + z - 2*z - 32 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -8) + -12 + -2 + 1 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 2, c: 4, v: 12}. What is prob of picking 1 s and 2 c?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496 and 6919.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 11 - (133 - 137 - (0 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -28)*(-36)\/8. Suppose 0 = 4*q + 3*s - p, -s + 0*s = 3*q - 89. What is the greatest common divisor of q and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2857\/8 + -2237\/24. Let c = -459 - m. Find the common denominator of (23\/9 - -3) + 2 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (40 + 2 + (-4 - 12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v**2 + 0*v**2 + (5 + 5 - 6)*(-2*v**2 + 2*v**2 - v**2).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 712\/3 + ((-96)\/(-36))\/4. Differentiate 17*a**3 - l*a**2 + 119*a**2 + 117*a**2 - 17 with respect to a.\nAnswer: 51*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-7)\/w)\/w*w*w\/(w**(-6)*w)*w)**(-2\/9) assuming w is positive.\nAnswer: w**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1168*f + 231*f + 223*f + 224*f + 223*f + 250*f.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2597.9 + 2598. What is the closest to r in 4, 0.1, 0.42?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-70)\/(-16))\/(-5) + (-6)\/48. Let a be (-2*(4 + 273))\/(y\/(-15)). What is a rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*w - 3108 = -191*w. Which is smaller: w or -445?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16710587683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 2*z**2 + 14.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-25)\/20*(-352)\/200\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 11:20 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -47\/8014643 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29 + -1 + (-2 - (4 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*w - 6, -6*u + u - 1 = -4*w. Which is greater: w or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -40*h + 4. What is v(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:15 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = 25*m + 23*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3807600 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1665160381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.6 + -31. Let o = 9085\/6 + -4543\/3. Sort w, -2, o, 1 in increasing order.\nAnswer: w, -2, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -3538, -12010, -28526, -55768, -96418, -153158?\nAnswer: -228670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, 57, 77, 113, 171, 257?\n\"Answer: h**3 - h**2 + 6*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.692036ug to grams.\nAnswer: 0.000005692036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1, 0.26, -0.5, -5, -7, -0.11, 43?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/3, -3, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(1\/52))**(6\/13)\/(t**(-2)\/t**(-1\/6))**(32\/5) assuming t is positive.\nAnswer: t**(59533\/5070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1421*i - 32687. Give h(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043192244.\nAnswer: 2, 37, 137, 100769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4.8. Let u = 0.98 - -0.52. Let i = d + u. Which is the nearest to 0? (a) i (b) 1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:09 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhsrs. What is prob of sequence ssrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -51, -59\/3, -1\/5, -5\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4, -5*w - 1 + 0 = a. Let g be -3 + (-2 + 3 - w). Calculate the remainder when 3\/(g\/10*-3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.076 + -0.224. Let j = u - -7.3. Put -0.3, 2\/5, j in descending order.\nAnswer: 2\/5, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 29 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + o - 20677 = -8*x, 0 = -2*x - 3*o + 20687. Does 68 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*f = -2991*f - 47898 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11*s. Suppose -w = 4*r - 4 - 4, 5*w + 2*r = 4. Let m(j) = -j**2 + 2*j + 151. Let i be m(w). Let y(f) = i*f - 151*f + f**2. Calculate p(y(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532.6404 rounded to 0 decimal places?\nAnswer: 2533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p + 133*p = 729 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-71)\/12 - (-13 - -22 - 7)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3108 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 g be 2\/11 + (-3982)\/605 + 4 + 3. Let j = -3.1 + -0.9. Which is the nearest to 1? (a) 1\/3 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/(-468)*-1*(-18)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = y - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/69 - 3\/9*-79. Solve 7*f - n + 55 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2\/3 (c) -41 (d) 2\/507 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24235 - 24?\nAnswer: -24303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 35 + t - 2 + 22 - 4*t. Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 = 13. Is v bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 260*m - 256*m - 6984. What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*-100*30\/240?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - -7. Suppose -2*p + 4*p = r. List the prime factors of p\/(-3)*1*-3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/20 + 9*a**2 - 3*a. Let p(h) be the first derivative of u(h). Let k(n) = -4*n**2. What is k(p(d))?\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 4. Let z be f(-7). Let b(w) = -w**3 + 9*w**2 + 9*w - 1. Let l be b(10). Let q = l + z. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93113775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/26 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:49 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i - i)*(2 + 5 - 15) in the form c*i + s and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {s: 5, z: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 46*k**2 + k - 2. Determine w(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 462, 464, 450, 408, 326?\n\"Answer: -2*h**3 + 4*h**2 + 4*h + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 2021412*l**3 - 510763309218*l**2.\nAnswer: -2*l**2*(l + 505353)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3062, -10, -89.\nAnswer: -3062, -89, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 + 2*i - 6. Let k be h(4). Suppose -t = k*t. Find the first derivative of -2 + t*d**2 - 5*d**2 + 3*d**2 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-1 - (30\/5 + -6). Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22 and 11564?\nAnswer: 11542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**5*t)**(-10\/7))**(-8\/9))**(-45) assuming t is positive.\nAnswer: t**(-2400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 381750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/20)\/((-3)\/(-12)). Solve 2\/5*u**2 - 6\/5 - h*u = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2672+-0.16660643641\nAnswer: -2672.16660643641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*z - 16, z - 5*d = -2*d + 8. Let w be (9 + -5)\/(z\/22). Suppose 5*h - w = 16. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7275*r - 50910. Calculate c(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*r**2 + 78*r**2 + 87*r**2 - 9*r**2 to b*r + t*r**2 + u and give t.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, s: 4, w: 2}. Give prob of sequence wwb.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 159 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -1\/470953810?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -658.70002 - -655.1699917. Let w = -3.53 - o. Round w to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375037 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h - 4*h**3 + 3*h**3 + 16 - h - 13*h**2. Let n be m(-12). Solve -4 + 0 = n*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/3, 3, 4\/7, -1 in decreasing order.\nAnswer: 3, 4\/7, -0.1, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*z = 152*z - 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/((-2)\/(3 + -5)). Suppose h + 4*r + 9 = 0, 0 = -4*h + h + 3*r - 27. Let f = t - h. Is 1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20118555, 20118562, 20118569, 20118576, 20118583?\nAnswer: 20118590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1024436 and 4\/109761.\nAnswer: 3073308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2654528209 and 2.\nAnswer: -2654528207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 7 - 5. Suppose 0*y = -2*y. Let w be 1*(z + y) + 2. Is -1 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 223, 345, 467, 589?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -314\/519?\nAnswer: -314\/519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139093 - -157373.\nAnswer: 296466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(108)*-2)**2*5*5.\nAnswer: -3000*sqrt(3) + 11425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1329\/1483?\nAnswer: 1329\/1483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/4 - n**4\/2 - 37*n**3\/2 + 2*n**2 + 1505*n\/4 + 1225\/2 = 0. What is n?\nAnswer: -5, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -111.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose 2*d - 202 = 2*f, 2*d - 3*f - 205 = -y*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 558893\/108 - 5175. Find the common denominator of 139\/36 and a.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15128 is divided by 487?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = 27*v + 58*v - 33*v + 1156 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 9*i - 2. Let j(b) = -7*b**2 - 2. Suppose -3 = 23*r - 20*r. Let t be j(r). Calculate a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1120)\/(-50) + (-2)\/5. Suppose -5*m + 4*u - 6 = 0, 6*u = -3*m + 2*u + b. Let t be (-1*3)\/(-3) + 2. Solve 7 + m = t*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1975*h = 1936*h + 429 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -54, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t**2 - 65*t + 211. Give h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 34*w**3\/3 + 3*w**2\/2 + 2*w - 1. Let j be (3 - 5) + (-2 - -3). Calculate the remainder when h(j) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -38.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**(-37))**(-24)\/((k\/k**(-2\/7))\/k**(-5))**(-40) assuming k is positive.\nAnswer: k**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 4*g**2 + 3 - 8)*(10696 - 58*g**2 - 10696).\nAnswer: -116*g**4 + 290*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 23 + 50 + (-27 - -3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -11*l + 207. Suppose -60 = 5*g - 25. Let a = g + 15. What is the remainder when l is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiriylyrrryn. What is prob of picking 1 r, 1 l, and 1 n?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.999963 - -33. What is z rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17 and 187.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.135 * 1.75.\nAnswer: 0.23625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125186180 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32742 + 1742 = 1550*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n - 5*n - 3*n**4 + (0*n + n - 3*n)*(-5*n - 2*n**3 + 5*n) + (4 - 3*n - 4)*(18*n**3 + 11*n**3 + 6*n**3).\nAnswer: -104*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -16. Let z = 31 + t. Suppose 5*m = 161 + z. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 659039116.\nAnswer: -659039121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/3))**(-13\/4))**(-4\/31))**21 assuming v is positive.\nAnswer: v**(-91\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 13*p, 4*p - 105311 = -5*b - 13921. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 14) to base 13.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8.999999804. What is v rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2256376 and 4206701?\nAnswer: 6001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41567 - -6169. List the prime factors of b.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35*5*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -9 (c) 2\/7 (d) 1\/2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2994643ml in litres?\nAnswer: 0.0002994643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Suppose 0*n - 20 = -4*v - n, -3*n = -3*v. Suppose 5*l + 0*l + 20 = 5*y, y = -v*l + 9. Calculate the remainder when k is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5812 - -5775. Put k, 0, 6, 3\/4 in increasing order.\nAnswer: k, 0, 3\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6292189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Let a(f) = -f**2 + 8*f - 8. Let l be a(p). Suppose 4*v + 5*t - 22 = 0, 4*v = -v - t + 17. Solve l = y + 3*s, 2*y + 4*s - 9 = -v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l - 33252*l**3 + 16602*l**3 + 16626*l**3 - 30*l**4 + 2*l**2 + 185 wrt l.\nAnswer: -360*l**2 - 144*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002320 - -102?\nAnswer: 1003022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 + d**4\/8 + 2*d**2. Let j be m(2). Let v(k) = 16 - 3 - 2*k**j - 6 + 7*k + 3*k**2. What is v(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*v + 3781 = -4694 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*h - 3*h**2 + 347*h + h**2.\nAnswer: -2*h**2 - 187*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 o when four letters picked without replacement from {u: 1, o: 2, c: 2, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 4*m**2 - 5*m**2)*(-66 - 69*m + 27 + 38).\nAnswer: 276*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-70) - 308\/(-280))*-36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8442702 to the nearest integer?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(35\/3)*z)\/z**(2\/11) assuming z is positive.\nAnswer: z**(412\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -268.8745 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1*sqrt(28))**2 - sqrt(7) - sqrt(112)\/sqrt(4).\nAnswer: -3*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 239 = 2*c, 5*c - 2*f = -7*f - 620. Let u = -127 - c. Solve -5*y + 3*d + 17 = u, -5*y + 5*d + 18 = -7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*u + 3*u - 10 = 0, 3*u + 15 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/4, -5, 4\/5, 1\/1525?\nAnswer: 1\/1525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68970*b - 34380*b - 2 - 35648*b + 4.\nAnswer: -1058*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 39 = -4*p + 5, 0 = t + 3. Find the first derivative of 12*x**2 + 12 - p*x**2 + 16*x**2 + 12 wrt x.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 + 67 = -9*q. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3 (c) 0.73 (d) 0.055 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.1 - 77. Let t = 20 - 25. Put -2, t, 1\/4, u in descending order.\nAnswer: 1\/4, u, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2414*b - 2417*b + u, 12*b - 156 = -4*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 674 divided by -555\nAnswer: -674\/555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 19. Is b < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215 * 0.62\nAnswer: 133.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 6*k + 5. Let s be n(-8). Let j = s + 16. Suppose 0*x + 4*y = 3*x - 12, 12 = 3*x - j*y. Solve -4 = x*h + 5*c + 10, 3*h = 2*c + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*(44\/(-44))\/((-6)\/60).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7543 - -5?\nAnswer: -7539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**22\/(g\/(g**(2\/13)*g)))**20 assuming g is positive.\nAnswer: g**(5760\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(418)\/(sqrt(11)*5))\/sqrt(2) + (2*(sqrt(19) + sqrt(38)\/sqrt(2)) - (sqrt(19) + -1)*4))**2.\nAnswer: 8*sqrt(19)\/5 + 419\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584383.6 hours to nanoseconds.\nAnswer: 2103780960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -923\/53458?\nAnswer: -923\/53458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t - 3*t. Suppose 3*v + 11366 = -1927. Let n be 8000\/6*(t + -6 - v). What is n rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 1 - 1)*(-4 + 4 - 2*t) - 2*t + 0*t + 0*t.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1905, -1985, -2065, -2145, -2225, -2305?\nAnswer: -2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51413401 (base 6) to base 11.\nAnswer: -920657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*x**2 - x - 11*x**2 + 2*x**2 wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37960 and 6760.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07508 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 11*t**2 + 14*t - 57. Let d be z(6). Which is the nearest to d? (a) -1\/8 (b) -6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -971, -1522, -2073, -2624, -3175, -3726?\n\"Answer: -551*v - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 1984*t\/3 - 1320.\nAnswer: -2*(t + 2)*(t + 990)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 4. Let b be (-10)\/(-5) - (1 + y). Solve -6*j**b - 8*j**5 + 0*j + 4*j**3 + 6*j**2 + 6*j**3 - 2*j = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c7 - 59b1?\nAnswer: -5a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*n**2 - 43*n - 3*n - 111*n**2 + 6*n.\nAnswer: -390*n**2 - 40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*w = -525 + 30671, w = 2*u - 20102. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477, 461, 451, 453, 473?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, -2, 2\/11, -0.3, -2\/7, -156.26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107372 and 612.\nAnswer: 966348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r + 6657068 + 112*r - 6657045 - 55*r.\nAnswer: -2*r + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 + 34*a**2 - 94*a + 8. Does 106 divide f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5444*f**3*o*x - 2905*f**3*o - 22*f**2*o*x**2 + 18*f*o wrt x.\nAnswer: -5444*f**3*o - 44*f**2*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -482*a - 13051. Let z be d(-27). What is the third smallest value in -1\/4, z, 0.06, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a - 3. Let h be y(-3). What is the greatest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.2 + -4. Let l = -1 + v. Suppose 4*s + 24 = 0, 15 = -5*g - 3*s - 28. Which is the third biggest value? (a) g (b) l (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48\/833 + 2\/119. Let i(r) = -r**2 - 6*r - 5. Let z be i(-5). Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 23*l - 10. Let i = -92 - -80. Let w be z(i). Suppose -67 = -5*g + w*g - c, 5*g + c = 109. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11294.\nAnswer: 2, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -8963\/32 (c) -1 (d) 5 (e) 3 (f) 2\/11 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60265 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 + 5 = 3*g, -4*y = 16. Let f be (2 - 0)\/(-1)*-1. What is the closest to -0.03 in -0.3, g, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Let d(o) be the second derivative of -5*o**4 + 213*o. Calculate d(h(p)).\nAnswer: -540*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + 616*k**2 - 376*k + 35092. Give u(205).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2881.39861 and 4.\nAnswer: -11525.59444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2)\/(-11) + 336\/(-1001)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76.1 and 0.3.\nAnswer: 22.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -29. Let l(n) = -7*n - 4. Let k(w) be the first derivative of -3*w**2\/2 - 2*w + 8. Determine v*l(d) - 5*k(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*j**4 - 6359122*i**3*j**2 + 2*i*j**2 - 2826840*j**6 wrt j.\nAnswer: -24*i**3*j - 339220800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(605) - (sqrt(605) - 1*sqrt(605) - sqrt(605))) + sqrt(605) + sqrt(605)*-2 + sqrt(605) + -3 + 5) + 5)**2*-6.\nAnswer: -524454 + 26928*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.211 - 77.211. Let s = d + 76.9. Which is the nearest to 0.3? (a) -4\/5 (b) s (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -986, -1794, -2602, -3410?\nAnswer: -4218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218 and 18203?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142415 (base 6) in base 16?\nAnswer: eb2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 16*s**2 - s - 4. Let j be m(16). Let d = 20 + j. Suppose d = -f - 3*f + 1508. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8866 - -8905. Calculate the remainder when (-1628)\/(-14) - 2\/7 is divided by i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 6*y - 3. Suppose 33 = 4*c - 3*i, -i = 3*c - 23 + 8. Determine g(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 17 - 3 + 2 + 9*b - 10*b. Let w = 53 + -70. What is the remainder when q(w) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74878320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0, 7, 4, -124, -4, -1 in descending order.\nAnswer: 7, 4, 0, -1, -4, -33, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12*d**2 - 2*d - 1. Let o be g(-1). Suppose -6*i + 2*i + 4 = 0, 0 = -3*c + 5*i + o. Let a = -108\/7 + 223\/14. Sort c, a, -1 in increasing order.\nAnswer: -1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 15 = 0. Solve r + 2 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/3)*u**(-5)*u**(-2\/3)*u*u**(-1)*(u**3*u**(-6))\/(u**0\/u*u*u)**(5\/6) assuming u is positive.\nAnswer: u**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -2, 2.8 in descending order.\nAnswer: 3, 2.8, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 649603961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 80 = -0*c. Let s be 2\/10 - 6*(-6)\/c. Let n(d) = 78 - 78 + 3*d**s. Let h(a) = 15*a. Determine n(h(o)).\nAnswer: 675*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 + 395.39. Let f = o - 396.77. Round f to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 273 + -271. Suppose 2*r + w*r - 113 = 3*y, -r + 17 = 3*y. What is the remainder when r is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*m*t**3*x + 4*m*t**3 + 2*m*t**2*x**3 - 811*m*t*x**3 - 2*m*t*x**2 + 2*m*t*x - x**3 wrt t.\nAnswer: 204*m*t*x + 24*m*t + 4*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v, 3*c - 8 - 5 = -4*v. Suppose t - c*b = 47, -t + 2*t - 43 = 2*b. Suppose -2*r - 3*r + t = 0. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*3\/(-570) - (-42)\/399\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -153, -174, -203, -240, -285?\n\"Answer: -4*r**2 - r - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2357, 2076, 1329, -112, -2475, -5988?\n\"Answer: -38*u**3 - 5*u**2 + 2400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.65, -71, 2, 0?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46305, 46341, 46387, 46449, 46533, 46645, 46791, 46977?\nAnswer: 47209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848990312 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 50*v**2 + 392*v + 35. Determine t(40).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-6) + 458\/(-4). Let z = -1243 + 1080. Let g = j - z. What is the remainder when g is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 85, -4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -37. Let q(b) = -1604*b + 59348. What is -q(z) - 1604*t(z)?\nAnswer: 1604*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1510877 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than 0.963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k + 7. Let g(c) = 5*c + 4. Let t(x) = 7*g(x) - 4*u(x). Suppose 6*h = 12 - 6. Let z(r) = 4*r + 1. What is h*z(i) + 5*t(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*m + 21, -3*c + 2*m - m + 1 = 0. Let z = c + 65. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-5 + -1*(-5 + 1*sqrt(320) - (sqrt(320) + (sqrt(320) - (-1 + sqrt(320))))*3))*-3 + -1))**2.\nAnswer: 15360*sqrt(5) + 185920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*d - 2, -4*f + 3*f + 16 = -4*d. Suppose u - 128 = -f*y, -2*u + 3*y + 149 = -u. What is the least common multiple of 56 and u?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 + 10*n**4 - 5*n**3 - 10*n**2.\nAnswer: 5*n**2*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10128.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*k**6 + 12*k**3*l - k**2*l - 2*k**2 + 8459*k*l + 1 wrt k.\nAnswer: 28200*k**3 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 3:49 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 10*h**2 + 39*h + 14. Let g be u(-13). Find the third derivative of 0*i**6 - i**6 + g*i**2 - 15*i**6 wrt i.\nAnswer: -1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74249 is divided by 355.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) + (-52)\/672. Let q = 31\/24 + n. Let y be ((-1)\/6)\/((-2)\/(-2)). Which is the second smallest value? (a) 2\/11 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -17*m + 18*m. Which is smaller: -152 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3 + 5938*f**2 + 8814961*f = 0?\nAnswer: -2969, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 126 - 4*p**2 + 4*p**2 - 39 - 24*p**3 + 131.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = 0, -3*u - 5*s = -15. Suppose 0 = y - 4 - 1, -u*x + 2*y = 0. Let q be -1 + 8 - (-4 - -7). Sort x, q, -5 in ascending order.\nAnswer: -5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70293 + 70825 = 38*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 929 + 583. Let m be 4\/(-1) - h\/(-7). Let k = -21 - -34. What is the highest common divisor of k and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {w: 3, c: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.13 - -0.13. Which is the nearest to n? (a) 6\/5 (b) -1\/9 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let v(f) = -4065*f. Calculate x(v(j)).\nAnswer: 33048450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhemeembebbbibmb. Give prob of picking 3 m.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.3555 - 7.3857. Let r = 30.95 + h. Let y = r - 1.2. What is y rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/18 - (-1)\/3. Let w(o) = v*o**2 - 2*o - 14 + 9 + 2*o. Let p(q) = 4*q**2 - 7. Suppose -3*b + 0*b = 21. Calculate b*w(u) + 5*p(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 10*f - 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 9*h**2 - 3*h + 8. Let k be r(8). Let g be ((-8)\/(-10))\/(2\/190). Let p = g + 44. Calculate the highest common factor of k and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(12 + 4*z**3 - 12) + (-2*z - 2*z**2 + 2*z)*(4*z - 2*z - z) + 0*z**3 + 3*z**3 - 4*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 246973 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 5*l - 9. Let h(v) = 2*v**2 - 6*v + 9. Let r(d) = -253*d + 1269. Let z be r(5). Calculate z*i(f) + 3*h(f).\nAnswer: 2*f**2 + 2*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421177 by 6.\nAnswer: 421177\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-374)\/(-204))\/((1386\/(-140))\/9)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -7.95 (c) 4\/5 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*c**5 + 28*c**5 + 22*c**5 + (2*c**4 - 2*c + 2*c)*(-6*c + 2*c + c + (2*c + 0 + 0)*(1 - 2 + 3)).\nAnswer: 76*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-395)\/(-46) - (1 + 1). Let b be 2 + 1 + 5079\/483. Let s = o - b. Calculate the common denominator of s and 39\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 83 = -b + 19, -108 = -5*r + 2*b. Suppose 13*g - 680 = 8*g. What is the remainder when g is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a + 894 = 660 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 670*g*z**3 - 2767*g + z**3 with respect to z.\nAnswer: 2010*g*z**2 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1 - 8\/4). Suppose -3*u = -8 - g. Suppose -3*a**u + 2*a**2 + 3*a**3 - a**3 - a**2 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -208136 * -18.\nAnswer: 3746448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*q**2 + 4*g**2 - 4*g*q**2 + 2004*q**2 wrt g.\nAnswer: 2*g*q**2 + 8*g - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1 - (-5 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/390 + s**3\/39 + 8*s**2. Factor b(w).\nAnswer: -2*(w - 1)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 1)\/(17 - 15). Which is the nearest to z? (a) 4 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(45\/(-5))*-1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2554 = 2729. Suppose -2*s = 31 - j. Solve 0 = 4*n + n + s*l, -2*n + 5*l = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4436*z**3 - 4508*z**3 - 551*z**3 - 2092*z**3 - 3753*z**3.\nAnswer: -15340*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*w + 186003 - 2561105 = 0, 4*w - 1187507 = -x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -247.2 and 528.631?\nAnswer: -130677.5832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.746952 seconds to minutes.\nAnswer: 0.2124492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 27 + 51 = 0. Suppose -29 = -5*x + p. Suppose -d - x + 2 = 3*c, -c + 10 = -4*d. Sort d, -5, 1 in descending order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307884 (base 9) in base 11?\nAnswer: 115520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625 (base 14) to base 6.\nAnswer: 5333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**9\/5040 + k**8\/560 - k**7\/210 - k**4\/8 + 2*k**2. Let v(c) be the second derivative of p(c). Determine f so that v(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225254 and 941082?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-3 - -5) + -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 0*n + 0*n**5 + 0*n**2 + 3 + 0*n**3 + 1\/2*n**4 - 1\/3*n**6. Factor g(s).\nAnswer: -2*s**3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - z = -18, -2*n + 7*z = 3*z. Suppose 2*u - 8 - 32 = 0. What is the highest common factor of u and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 10. Let y be i(11). Calculate the common denominator of (31\/(-30))\/(4\/18) and ((-712)\/y)\/(4\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - b + 1 + 3*b - 5*b + 0*b + (-4*b + 3*b + 0*b)*(-3 + 5 + 0) - b + 1 - 1 - b + 10*b - 3*b + (-1 - 1 + 0)*(b - 4*b + 4*b) + 4*b - 4*b - 3*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.2387 less than 0.0478761?\nAnswer: 72.2865761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 2*m + 2. Suppose x + g + 9 = 3*x, -5*x = 2*g - 27. Suppose h = -2*h + 3*a + 57, 5*a = -h - x. Let y be (60\/9)\/2*(-18)\/h. What is l(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)**17*(y**(1\/4))**(-2\/31)*(y*y**(-2\/17))\/((y**(-2\/5)*y)\/y)*(y*y**(1\/12)\/y*y)\/y**(-2) assuming y is positive.\nAnswer: y**(-579187\/31620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 930 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 5630801 and -2142194.\nAnswer: 3488607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 43. Let f(s) = -s**3 + s**2 - 3*s - 2. Is f(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2006557791 to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5544*t + 2 + 1.\nAnswer: -5544*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*n = 2*f + 9, -f = -n + 3. Let p be (4\/6)\/(1\/f). Let s(y) = -2*y**3 - y**2 + 1. What is the remainder when 50 is divided by s(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12156 and 3967921?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, y: 5}. What is prob of sequence hhhy?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*(x**(-1)\/x)\/x)\/x)))**(-21)*(x**1\/x)**35 assuming x is positive.\nAnswer: x**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a**2 + 3*a - 6. Let y be q(-2). Solve y = -s + 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3*r**2 - 3*l**3 - 41070*l**2*r**4 + 13426*l*r wrt r?\nAnswer: 6*l**3 - 492840*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 752 - 745. Calculate the greatest common factor of b and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-1 + sqrt(684) + 0)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u + 42. Let p(l) = -8*l + 9*l - 2*l. Let d(v) = g(v) - 4*p(v). Let r be d(7). Solve h - 3*z = -4*h + 37, r = -2*h - 5*z - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 63 + (2 - 5) + 4 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(5) - (sqrt(5) - -3*sqrt(720))))\/(3*(sqrt(800) - (sqrt(800) - (sqrt(800) - (sqrt(800) + sqrt(800)*3))))).\nAnswer: sqrt(3)\/3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 3545509 - 1159479 = -45*j. What are the prime factors of j?\nAnswer: 69191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 + 196.9. Let o = r - 3.1. Suppose -36 + 6 = 5*f - 5*p, 0 = -5*p + 5. Which is the closest to o? (a) -2 (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 47 = -b - 180, -53 = -2*h + 5*b. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*s = -7*s - 10, -3*l + s = -14. Suppose -z = 4*z - l. Put 0, -5, z in increasing order.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.5 - -61. Let m(k) = k**2 - k - 4. Let x be m(3). Put -2\/13, z, x in decreasing order.\nAnswer: x, z, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/31))\/(s**(-2\/3)\/s) assuming s is positive.\nAnswer: s**(254\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5651 is divided by 2787.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4710 and 84679677?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3656.0716 + 1247086\nAnswer: 1250742.0716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 847727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*t**2 + 3104*t**2 - 2511*t**2.\nAnswer: -68*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48279 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 25*t + 768. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 16) to base 12.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + -2 - (-3235 + 3167).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2414 and 1968546?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let c(n) = 16078*n + 32. Give c(k(d)).\nAnswer: -16078*d + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*x - 25, a - 11 = 5*x + 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (5 + -467 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 395 + 279 = 66 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 31*n**3 - n**2 + n - 1. Suppose 0 = 4*x - x - 2*u - 1, 5*x + 2*u = 7. Let j be y(x). Calculate the highest common divisor of 75 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 2. What is the remainder when 52 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 35. Suppose -3*a + 859 = 5*q, y = 5*q + 27. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -810c5 (base 14) to base 9\nAnswer: -522516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -22 - 12 - 15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472\/118*(-5)\/(-50)*45\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -370936998282?\nAnswer: 370936998281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -62, -66, -72, -80, -90, -102?\n\"Answer: -j**2 + j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*t - 8*b + 353, 0 = 2*b + 8. What is d in 623*d**5 + 9*d - 625*d**5 + 32*d**2 - 32*d**4 + t*d - 126*d**3 = 0?\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(6\/7)*z)\/((z\/((z*z\/z**(-2))\/z))\/z))\/(z**(-1\/11)\/(z\/(z\/(z**(-1\/10)\/z)*z))))**45 assuming z is positive.\nAnswer: z**(19737\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 30 = -5*c, -5*w - 5 = -73*c + 61*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 299\/(-92))\/(8\/32).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356 a factor of 64707540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.9, 3, 0, -3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43623852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.9000692 - -40.9. Round r to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.192 - -1.292. Let t(s) = s**3 + 6*s**2 - 5*s + 12. Let z be t(-7). Let q = 0.4 + -0.2. Which is the closest to 1\/16? (a) k (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:33 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*a + 130*a + 20. Let q be (0 - (-3 - a))*-7. Solve 11 + q = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 686\/21*(-9)\/6. Let i = c + 58. Suppose i = 3*h, -5*h + 235 = 8*q - 3*q. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 4, y: 6}. What is prob of picking 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.5? (a) 27.9 (b) 1 (c) 4 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -59*s. Suppose 3*l - 12*w + 9*w = 12, 5*l + 2*w = 13. Let t(i) = -l*i + 6*i - 6*i - i. Determine t(k(r)).\nAnswer: 236*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q + 1 = y, 3*q = 5*y + 35. Suppose -o + q*o + 128 = 0. Is o\/(-5)*10*(-2)\/(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2866079?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*x**3 - 12*x**3 + 15*x**3 + 5 - 5 + 8*x**3 + (-2*x**2 - 3 + 3)*(-x - 2*x + x))*(-6 - 6 + 3).\nAnswer: 234*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21618299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8043*n + 608249 - 214142 = 0 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + f - 1. Let n(w) = 2*w**3 + 3*w - 1. Determine -3*g(k) + 3*n(k).\nAnswer: 21*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -169, 2, 7\/27?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:28 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02014138688 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Suppose 35*g - 45*g = -10. Calculate the highest common divisor of g and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Let u(j) = z - 2 + 4*j**2 - 5*j**2 + 3*j - j**3 - 2. What are the prime factors of u(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -61, -21, 6, -13 in decreasing order.\nAnswer: 6, 2, -4, -13, -21, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 8) in base 15?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003780390128 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61222990 + 159608315390\/2607. Let s = 9\/869 + t. Let u = -23\/3 - s. Calculate the common denominator of 59\/8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 149851562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7706, 416, 0 in ascending order.\nAnswer: 0, 416, 7706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/2, 2\/4961, 0.3, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12623.76400055 - -12623.364. Let o = 29.4 - 29. Let i = o + v. What is i rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 391707 + 391837 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 + (-684)\/(-11). What is the common denominator of (-2)\/(-4)*(-57)\/30 and -1*(-1)\/(32\/h)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-185)\/(-30) - 19\/6. Let o(a) = -14*a - 52. What is o(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.850071 rounded to one decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 709 = 2037. Suppose -5*r = 2*u + 171 - 3, 83 = -u - 2*r. Let j = u - v. Solve j = -4*w - 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36678.45 + -50475926\nAnswer: -50439247.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6245264.3899682 + 6245265. Let p = 19 - 19.61. Let i = d + p. Round i to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u**2 + 51 - 105 - 10*u + 44. Suppose 0*r - 51 = -5*r + g, 3*r = -g + 29. Let j(h) = -h**2 - h - 1. Calculate r*j(d) - a(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*i + 266 = -451*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30368 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606167938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 54*b + 67. Calculate k(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3841 by 181.\nAnswer: 3841\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 6. Let d be k(-2). Let f = -6 + d. Calculate the smallest common multiple of 3 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94511\/2 + 47255. Which is the closest to m? (a) -2.1 (b) 54 (c) 4\/5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -8*o**4 + 44*o**3 + 24*o**2 = 0.\nAnswer: -1\/2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 2*x**2 - 2*x - 2. Let d be j(2). Solve 0 = -3*c + c + d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 8. Let p = 4 - 8. Let a be h(p). Suppose -10 = -3*j + 4*c, 0 = -3*j + 2*j + a*c + 6. Solve -4 = 2*b + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/360 + 22*y**3\/3 - 5. Let a(m) be the third derivative of r(m). Let l(k) = -7*k**2. What is l(a(q))?\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from zzzczzzzzzzzzzzzzz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -6, -2, 5, 3, 1691 in decreasing order.\nAnswer: 1691, 48, 5, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32, -3, 0, -0.1 in descending order.\nAnswer: 0.32, 0, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 156 + -146 + -12 + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqc when three letters picked without replacement from qqqqqqqqqqqqc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204528 and 38349?\nAnswer: 613584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 496210.4873 to the nearest 10.\nAnswer: 496210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38043576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2) + -1*2*18. Let i = -5 - x. Calculate the remainder when i is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j. Let f(k) = -2*k**3 + 3*k**2 + 2*k - 3. Let i(h) = f(h) + 3*p(h). Let w(z) = z + 8. Let v be w(-6). Let b = -5 + v. Give i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1100010?\nAnswer: 1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z = -271 + 127 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + r**4)*(9*r - 2 + 3 - 2).\nAnswer: 9*r**5 - r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419629.549 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b**2 + 5*b**2 - 9 - b**2 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*934\nAnswer: -93.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011100001001100 + -101011111?\nAnswer: -101011011100110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58.51 and -10.025.\nAnswer: 586.56275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25855940 by -587635.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 661709*n + 139789*n - 137.\nAnswer: -521920*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 - 2*p - 5. Let s = 17 - 12. List the prime factors of d(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2. Let j(b) be the second derivative of 0*b**2 + 0 - 1\/2*b**3 - 21*b. Give j(m(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*b - 7*b - 81, 122 = -3*d - 2*b. What is the common denominator of 3*(-59)\/(-27)*1 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456 + 460. What is the second biggest value in y, 2\/11, 3, 0.12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 140 + -18 - 20 - (5 - 4)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.3. Let a = -77\/10 - -1889\/245. Let l = a + 145\/196. Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1. Let a(x) = 5*x - 8. Let y(d) = a(d) + 3*p(d). Let n(w) = -w + 4. Determine 3*n(u) + 2*y(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + -44?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -11. Suppose 0 = -0*r + r - p. Put r, -1, 3 in decreasing order.\nAnswer: 3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -7*s**4\/12 - 5*s**3\/6 + 5*s**2\/2 - 22*s. Let w(d) = -3*d**2 - 2*d + 2. What is 6*a(p) - 15*w(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o + 2*o)*(-2*o - 4*o + 5*o) - 10*o**2 + 2*o + 8*o**2 - o.\nAnswer: -8*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 670 and 18425.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-1\/2))**13\/(x**(-4)*x)**(1\/19) assuming x is positive.\nAnswer: x**(1241\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-357))\/((-8)\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 117?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3551, 4\/3, 2\/9, 2\/7 in ascending order.\nAnswer: -3551, 2\/9, 2\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -19072035.247206.\nAnswer: 19072035.047206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 3, -97, 5 in descending order.\nAnswer: 5, 3, -3\/2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3)\/4)\/(45\/(-30)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(16\/(-24)). Suppose -5*t + 96 = -j*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = m + 2*m. Suppose -m*n = -n - 27. Solve 4*v - n = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58231487 to the nearest one hundred thousand.\nAnswer: -58200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 384 (b) -0.1 (c) 1 (d) 43 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1837*y + 66. List the prime factors of w(-2).\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o**3 - 3*o**2 + 3*o. Let g(h) = -88*h**2 - 407*h**3 + 191*h - 28*h - 75*h. Let n(d) = 12*d + 176. Let x be n(-22). Determine x*w(z) + 3*g(z).\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let d(v) be the first derivative of -5*v**2\/2 + 4. What is y(d(q))?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -11, -3, 612071 in increasing order.\nAnswer: -11, -4, -3, 1, 612071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*c + 132*c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54165 + 743887 = 6446*v for v.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 10) in base 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -28*q**2 - 3*q - 65. Let s(j) = -j**2 - j + 2. Let v(i) = -g(i) + 4*s(i). Differentiate v(n) with respect to n.\nAnswer: 48*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -5 + -19 - 4. Let s = t + 32. Is -10\/33 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13931 + 69694?\nAnswer: 55763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - u - 2*u)*(-2 + 2 + 1) + 2*u + u + u + 4*u + 0*u - 6*u + (0 + 2*u + 0)*(-3 + 0 + 1) - u + u - u - u + 2*u + u as l + p*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45153, -90309, -135473, -180645?\n\"Answer: -4*b**2 - 45144*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 2\/19, -1, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -251555, -2\/13?\nAnswer: -251555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46283669.\nAnswer: 137, 337837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22491 is divided by 973?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -u + d + 67, 3*d = u - 61. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262422073 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + 2)*(-4)\/8. Let p be 6*u\/6 + -3. Let n be (4\/(-21))\/(p\/18). Sort -1, n, -4\/3 in ascending order.\nAnswer: -4\/3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4582067758 to the power of 1\/2, to the nearest integer?\nAnswer: 67691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghiiighisgw. What is prob of sequence gggw?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 6*q - 3. Let r be h(6). Let j be 2\/r - 21\/9. Let v be ((-2)\/16)\/(1\/j). Which is the closest to -2? (a) 1 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 1, o: 2, k: 1, n: 1, v: 1}. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 24 = 7*r + 4*w, -3*r + 2*w + 33 = 0. Let m = 13 - r. Solve 5*c + 6 = -m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(5*d - 3*d - 3*d)*(131*d**2 - 55*d**2 - 59*d**2).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)*c**(-2\/11)*c**(4\/5)*c**(-6))**3 assuming c is positive.\nAnswer: c**(-918\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -59. Let t(v) = 4*v - 5. Suppose -p = -4*p + 12. Calculate the remainder when t(p) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f - 18 = -42*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.887 and -121?\nAnswer: 4221.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325) + -2*sqrt(325) - 6*-1*sqrt(13)*4.\nAnswer: 1 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1057 + 1055. What is the closest to 0.2 in -5, s, 7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348, -3813, -7554, -12577, -18888?\nAnswer: -26493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33453 by 6.\nAnswer: -11151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 - 12*g - 52)*(-1 - 1 + 8301*g - 8412*g) to the form w + r*g**2 + i*g and give r.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-7))\/v*v*v**(5\/12)*(v*v\/(v*v*v\/v**21))\/v**13)**(1\/68) assuming v is positive.\nAnswer: v**(1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 32 = c, 85 = 2*c - 3*l - 1. Suppose c = -6*w - 44. Calculate the remainder when 65 is divided by (-1 - -45)\/(w\/(-7)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + -1070?\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2632879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3 - (-2 + -3)). Let k(b) = 2*b + 5. Let q be k(0). Solve x - t = -q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 290543185*t - 275530744?\nAnswer: 290543185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -218414?\nAnswer: -218414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 50. Let g be m(-23). Let d(a) = -g*a + 2*a**2 - 25*a**3 + 4*a + 2*a. List the prime factors of d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -274*b - 40061. Give y(-150).\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 24948 = 131*f + 4*f + 161*f for f.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0921905 and -56?\nAnswer: 55.9078095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 594*l - 33885. Determine f(57).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 28, 87, 218, 445, 792, 1283, 1942?\n\"Answer: 4*d**3 - 17*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 8*p - 136. Suppose 7*n - 4416533 - 15148467 = p. What is n rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1055 divided by 5.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-16)*2 - 501\/(-12). Let g = q + -41. List the prime factors of (-3 + g)*-11*(-5)\/(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*s - 85. Suppose -2*w = 5*f - f + 14, 0 = 3*w - 3*f - s. Let a be (60\/(-8))\/(w\/(-30)). What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54 (b) -4\/7 (c) -5 (d) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14937\/(-9) + (-1)\/3. Let j = -265601\/160 - t. Let a = j + 971\/1760. Calculate the common denominator of a and 38\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + (1 + sqrt(1539))**2 + sqrt(1539) + 3*sqrt(1539) + 4)*1.\nAnswer: 54*sqrt(19) + 1551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3 - 1260307*r**2 + 2520611*r - 1260305 = 0. Calculate r.\nAnswer: 1, 1260305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -86837 less than 0.1940550143?\nAnswer: 86837.1940550143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 0.4, 0, -82?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.588 - 0.412. What is the second biggest value in -2\/5, t, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from {d: 1, o: 4, w: 2, v: 7}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(-3 + (((sqrt(63) - (sqrt(63) + -1))**2 - sqrt(63)) + 3)*-1*6 + 3).\nAnswer: -162*sqrt(7) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81284\/725 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 561050951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (161\/(-21) + 7)\/((-2)\/6). Find the second derivative of -16*y**k + 3*y**2 + 3*y + 2*y wrt y.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**6\/21 + 8*z**5\/35 - 15*z**4\/14 - 4*z**3\/3 + 4*z**2 + 48*z\/7 + 168. Let g(y) = 0. Calculate y.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1527)\/(-2545)*(-435)\/9\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(114)\/sqrt(3))\/sqrt(2).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 17*i + 3. Let u be s(-17). Suppose 0 = -5*r - 0 - 5, -u*p + r + 40 = 0. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70919 (base 10) to base 5\nAnswer: -4232134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/4 + 49*m**2\/2 - 2881*m\/4 + 5547 = 0. Calculate m.\nAnswer: 12, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 288845 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10665803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 1157, 5, -0.1, -2\/161?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1, 2 = f - d - 1. Let i be 4\/(-7) + 436\/28. Suppose 2*h + 7*c - 4*c - 34 = 0, -h = c - i. What is the remainder when h is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2088524ml in litres?\nAnswer: 0.0002088524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.33 + -1.43. Let h be ((-1)\/2)\/((-6)\/4). What is the nearest to h in 5\/2, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**3 - 3*a**2 + 13*a + 3. Let k(w) = w**3 - w**2 + w + 1. Let h(f) = -3*k(f) + o(f). Find the second derivative of h(b) wrt b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4504 + -4069. Calculate the remainder when t is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 5936*x**2 + 119120*x.\nAnswer: -x*(x - 20)*(x + 5956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1111111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2317, -4998, -9475, -15754, -23841, -33742, -45463?\n\"Answer: -q**3 - 892*q**2 + 2*q - 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*f - 161250 = 774806. What is the lowest common multiple of f and 18?\nAnswer: 69624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let s(t) = 654*t - 10. What is s(i(u))?\nAnswer: -654*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22594\/7 - 3222. Let m(q) = -q**3 + 3*q**2 + 3*q + 3. Let u be m(4). What is the common denominator of -1 + 43\/4 - u and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.107 times -7368\nAnswer: 788.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/(-6) + (-3)\/9. Let u be ((-2)\/2)\/((-3)\/f). Suppose -2*a - 12 = -4*r, 2*a = -0*r + u*r - 2. Solve r*v - 10 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f + 15. Let i(r) = 1 - 3*r**f - 2 + 1. Let g(n) = 5*n. Calculate i(g(a)).\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22018761133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:41 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9192304?\nAnswer: 2, 11, 29, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 5. Let o = h - -11. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+259\nAnswer: 258.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.16322.\nAnswer: -0.8161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 115\nAnswer: -19\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 + 15*y - 5. Let l be i(-8). Let z = -0.7 + 0.2. Which is the nearest to 0.1? (a) 0 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -223*u**6\/15 - 785*u**2\/2 - 10*u - 19. Differentiate x(g) with respect to g.\nAnswer: -1784*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/(-11) + 12 + (-1206)\/99. Solve -w = 8 - v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from pmkemmmk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 846.3675m?\nAnswer: 846367500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 726 = -w - 5*d, 4*w + d = 2981. Is w 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 190026, 189824, 189622?\nAnswer: 189420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43131 is divided by 4222.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.2. Let i = 6.4 + -7. Let x = i - m. What is the second smallest value in 3, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 5 + 5)*(-4 + p + 4 + 6*p - 3*p - p + (-2 + 4 + 0)*(-4*p + 6*p + 0*p) + 1 + p - 1 - 4*p + 4*p + 2*p - 2 + 2 - p - 76*p - 5*p + 11*p).\nAnswer: 122*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -11822230000 to the nearest 1000000.\nAnswer: -11822000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2662723.6 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -32*h - 32. Let r(o) = o**2 - o - 1. Calculate 3*f(b) - 96*r(b).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 449*u - 11357. Let v be a(-24). Sort -0.115, v, 0.7 in ascending order.\nAnswer: v, -0.115, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.5 + -0.6. Let a = f - -0.1. Let p = a + 5.1. What is the biggest value in p, -2\/3, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(69 + 45416\/(-658)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = 7*a - 5. Calculate the lowest common multiple of a and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 1:29 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -o + 29 - 45, -3*o + 2*v = -22. What is the third derivative of -20*b**4 + 55*b**4 + 14*b**5 + 29*b**2 + 5*b**3 - 35*b**o wrt b?\nAnswer: 840*b**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*d + 51, -4*d - 5*l = -19 + 50. Let t be ((-4)\/d)\/((-2)\/(-14)). Suppose m - t*m = -48. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 1 = 3, 5*c + 28 = 4*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -58*a - 232. Let o be t(-4). Is o >= -14\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-5)\/(-30) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 392\/9 - 2014\/45. What is the closest to -3\/5 in 0.4, -4, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*b - 40 = 0, -2*z + 4*z - 5*b = 4*z + 2 + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 + 1 + -59 + -2. Which is smaller: u or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1. Let u(r) = -11*r**3 - 64*r**2 + 6*r - 3. Let q(z) = 7*z**3 + 44*z**2 - 4*z + 2. Let s(b) = 16*q(b) + 11*u(b). What is -a(v) + s(v)?\nAnswer: -9*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/4, 1\/10, 1\/2?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3648 divided by -156\nAnswer: 304\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1900) - ((2*sqrt(1900))**2 + sqrt(1900))) + (sqrt(95)\/sqrt(80) - -2*sqrt(57)\/sqrt(3)).\nAnswer: 9*sqrt(19)\/4 + 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -103\/4 (b) -5\/3 (c) 2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*v + 31. Let p = v - -10. Let l = -3 + 3.4. Sort l, p, -5 in descending order.\nAnswer: l, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -144881 + -13?\nAnswer: -144894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/15 or 120575?\nAnswer: 120575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (176\/12)\/(-11)*3\/(-2). Solve -t - 6 = 2*d + v*t, 5*t + 10 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 245455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86521892 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = o. Suppose -i - 12006 = -3*j, -4*i - 3803 - 44207 = -o*j. What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11878*m - 878967. What is t(-74)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18598262 to the power of 1\/2, to the nearest integer?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 528*r - 5. Let j be c(0). Put 48, -2, j, 9 in ascending order.\nAnswer: j, -2, 9, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/60 - f**3\/3 - 3*f**2. Let l(x) = 23*x**2 - x. Calculate the smallest common multiple of l(1) and j(2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-50))\/(2\/40*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*p**6 + 13*p**3 - 3718*p**2 wrt p.\nAnswer: 9120*p**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 9*a**2 - 3*a - 24. Suppose -h - 6 - 3 = 5*o, -3*h = -3*o + 27. Let l be g(h). Solve l*j - 9 = 3*y - 6*y, 3*j = 2*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20948, 20955, 20946, 20909, 20832?\n\"Answer: -2*g**3 + 4*g**2 + 9*g + 20937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 130 - (-18)\/(-4)*18\/(-27). Let x = l + -88. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**4 - 36135488*z**3 - 4*z**2 + 36135488*z = 0.\nAnswer: -1, 0, 1, 9033872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + 77. Suppose 0 = 5*a - h - 28. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 3, x: 4, m: 6}. Give prob of sequence mkx.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.291 times 43427?\nAnswer: 12637.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(1 - 2 - 1) + 45 - 10 - 233)*(-3*g**2 - 4*g + 4*g).\nAnswer: 588*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k + 13 - 5*k + 6*k - 5 + 5*k**2 - k**3. Let g be x(6). Suppose -5*o = -3*j - 84, 0*o + 4*o - g*j = 66. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (9 - 3) - -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/4)\/(1470\/3528))\/((-3)\/35)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 5. Let w(y) = -y + 7. Let o(b) = -7*c(b) + 5*w(b). Let t(s) = -25*s + 49*s - 31*s. Give t(o(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 1. Let f(l) = l**3 - 3*l**2 - 6*l + 2. Let r(g) = -f(g) + 5*n(g). Suppose 7*v - 9*v - 24 = 0. Let u be (v\/15 - -2)\/((-4)\/(-10)). Give r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 253 = -12*a + 17*a, -5*a + 595 = 5*z. Calculate the highest common factor of 2280 and z.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.423 - 0.223. Let r be (2\/(-9))\/(8\/(-6)). What is the nearest to r in 0, -3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133213102 + 3?\nAnswer: 133213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**3*w**3 - q**3*w**2 - 31*q**2*w**3 - 885*w**4 - 542342*w**2 wrt w.\nAnswer: -6*q**3 - 186*q**2 - 21240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*n**4 + 15*n**3 + 6*n**2 - 24*n - 966555?\nAnswer: -36*n**3 + 45*n**2 + 12*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -172676168.55 - -14920\nAnswer: -172661248.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 11:27 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 - 168*z**2 + 900*z - 1296 = 0. What is z?\nAnswer: 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1638118 + -2.164. What is l rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + -109 + 42 + (1 - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 200, 305, 412, 521?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(2\/164). Suppose 2*l + v = 7 - 4, -g = -4*l + 5*v. Suppose a - 2*a = -l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/68 - -515\/17. Let q = p - 18. Find the common denominator of -89\/42 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/4 + 21*s**2\/4 - 45*s\/4 + 23\/4 = 0. What is s?\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z + 0*z)*(-5 + 3 + 32).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 983 and -127.\nAnswer: -124841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 - 11*s**2 - 9*s**2 + 28*s**2 - 7*s**2.\nAnswer: -3*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o**3 + 16*o + 501. Let r(p) = -5*p**3 + 7*p + 251. Determine 3*j(d) - 7*r(d).\nAnswer: 2*d**3 - d - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 5419 and 48781\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/28*(-5)\/100*-28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.12, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030556 to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(2)*-2*2*2 + ((sqrt(2) - 3*sqrt(18))**2 + 2*sqrt(2)*2)*5.\nAnswer: -12*sqrt(2) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (5 - (8 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.33 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1325 + 1647. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0.27, -9, -309, -2\/23?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*a + 16. Suppose -268 + 2560 = a*t. Suppose 2*w + t = 6*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048737507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 + (-86)\/(-10). Let u(i) = -13*i**2 - 9*i + 11. Suppose 4 = k + 3*r, -12 = -3*k - 4*r + 8*r. Let h(t) = 6*t**2 + 4*t - 5. Calculate c*h(g) + k*u(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*x = 35*x - 157*x + 3*o - 1287, -29 - 38 = 4*x + 5*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4613954.\nAnswer: 2, 2306977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.0885 - -0.0885. Which is the closest to 0? (a) 25\/7 (b) -2\/5 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 - 130*m**2 + 645*m - 900 = 0. Calculate m.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5738 = 37*z - 8692. What is the greatest common factor of z and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8079*n**2 + 190*n + 936. Is d(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*m + 4 + 21, -5*m = -5*u + 25. Sort 0.1, u, -5, 1 in increasing order.\nAnswer: -5, 0.1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 34. Let l be h(10). Let x be l\/(-18) + (-29)\/9. Let c be x\/(-2)*560\/60. Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/12 - 3*r**3\/2 - 15*r**2 - 241*r. What is u(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 3*y**3 + y**4)*(0 + 0 - 2*y) - 201*y**5 + 1065*y**5 + 174*y**5.\nAnswer: 1036*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.62631 rounded to one dp?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35473343?\nAnswer: 37, 958739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - f = -21, 5*s + 60 = 352*f - 357*f for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359663.\nAnswer: 3, 47, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -268 + 227. Which is greater: -40 or u?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 8*l + 4. Calculate x(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/6941 and 79\/33?\nAnswer: 20823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 10*g**2 + 5*g + 4. What is the tens digit of q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14696792?\nAnswer: 2, 11, 167009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v. Suppose -17 - 19 = -3*m. What is the lowest common multiple of -1*(6\/(-3) + v) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5399 + 5398.96761. Round b to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkdkkkkkddkddzkkzk. What is prob of picking 1 k and 1 d?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 2)*(j + 0*j - 2*j) + 6*j + 8*j - 6*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2548.217 to the nearest ten.\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.341 * -325.\nAnswer: 110.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 2*b**2 + 3*b - 4. Let t(d) = -3*d**3 + 5*d**2 - 5*d + 8. Let w(o) = -3*t(o) - 5*y(o). Let i(u) = 2*u**2 + 2. Determine -5*i(n) - 2*w(n).\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:08 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*u**2 - 2393022*g - 10928*u**2 + 1028 wrt g?\nAnswer: u**2 - 2393022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*k - 3 = 0, 3*f - k - 38 = -25. Solve 6*x - 4*o + 16 = 7*x, 11 = 5*x - f*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.93 + -18?\nAnswer: 595.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7336 and 191784.\nAnswer: 1342488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1183010 and 63150?\nAnswer: 17745150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49734*a + 7 = 49733*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/4200 and -187\/84000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1658067, -3316132, -4974197, -6632262, -8290327, -9948392?\nAnswer: -11606457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2319\/(-33) + ((-21357)\/231)\/(-9) + 150\/(-15)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 3*t**2 + 23*t + 3. Let x be u(-7). Let s = x + -83. Let q be 18\/(-16)*60\/s*2. Solve 0*d - 3*d + 3*n = q, 3*n + 1 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-75)\/(-20)*(-1)\/10. What is the second smallest value in -2\/21, i, -1\/16?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 43*b + 764*b + 177*b to z*b + w and give z.\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/((-1)\/4). Let a be 6\/i + 5 + -8. Suppose a = 2*u + 39 - 111. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7363 in -0.1, 4\/7, -1946?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 481963515754.1 and 2?\nAnswer: 481963515752.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44364816 and 255772?\nAnswer: 488012976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/((-2)\/15). Factor -687*n**2 - y*n - 2*n**3 - 4*n + 699*n**2.\nAnswer: -2*n*(n - 5)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:56 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 93 = -5*r, -15 = -2*x - 3*x. Find the second derivative of 21*w - 45*w - 11*w**3 + r*w wrt w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 6. Let p(k) = 1 + 0*k + 0*k - 3*k. Let s be p(2). Let c be b(s). Sort c, -1\/5, 0.3 in descending order.\nAnswer: c, 0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(18\/5)*v*v**(-21)\/v*(v\/v**25*v)**(-25) assuming v is positive.\nAnswer: v**(2788\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -32*b + 206. Calculate z(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 101*p + 18. Give x(-5).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from sqsqxavqqksxvqq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(140\/(-136) - -1). Suppose -2 = 5*v - 3*p - 49, r = 2*v - 5*p. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/(4*(-1)\/12). Put 0, -2, -4, g in descending order.\nAnswer: 0, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163238004 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 231.\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 48) + 1 + 0 + -20.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5085000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:43 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 10. Let x = 52\/25 - 337\/150. What is the biggest value in x, -1, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 38*f - 2*g = 16, f = -g + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3561614 (base 7) to base 15.\nAnswer: -8de0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let j(q) be the third derivative of 0*q**3 + 8*q**2 + 0 - 1\/24*q**4 + 0*q. Let w(s) = s**2 - 2*s. Let h(i) = -2*j(i) + w(i). What is k(h(r))?\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2)**2 - ((sqrt(45) + sqrt(5))*6 + sqrt(5)).\nAnswer: -25*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ridtgptptddr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a kilogram in grams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -62, -114, -200, -332?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 25 - 26 + 16)*(-8 - 19 + 10).\nAnswer: 34*y - 255","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 + -64. Suppose 2*l - 30 = -3*l. Calculate the highest common factor of l and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 110*z + 3028. Let y be i(-56). Suppose 0 = l + 5*n + 6, 0*l + l + 4*n + 5 = 0. Is l + 6378\/y - (-4)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 1007460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*i = -5*b + 202*i + 76282, -61000 = -4*b - 4*i. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(672) + sqrt(42))\/sqrt(3))\/(sqrt(10)\/sqrt(5)*-3).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000139 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490714776.\nAnswer: 2, 347, 537001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 + -191 - (1 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104063506 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Let f be 27\/w + (1 - 2). Solve -a + f = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7396 and 13674?\nAnswer: 1175964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4 - 698*m**3 - 69230*m**2 - 1399734*m = 0. What is m?\nAnswer: -161, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6571 - 731 - 37682 = -1098*m for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 4, 0.06, 4\/7, -1\/17, 0.1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1308\/216 - (-2)\/(-36). What is the nearest to l in 1, -6, 5\/3, 0.3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 55 - 326. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3377 is divided by 3354?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*2740.\nAnswer: -21920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 37\/(-9) + 12?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -111200102121122?\nAnswer: 111200102121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(130) - (sqrt(130) + (sqrt(130) - 1*sqrt(130)*6)))\/((sqrt(90) - sqrt(90)*-2)\/sqrt(9))*-1*3)**2.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -170702?\nAnswer: -170699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.959 - -0.041. What is the closest to -2 in -21, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, t: 5}. What is prob of picking 2 r and 2 t?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - q - 4*q)*(-4 + 1 + 1) + (3*q + 0*q - q)*(1 + 2 - 2)*(-7 - 3 - 10) to c*q + f and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -771? (a) 1\/8 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4630942 * 0.3.\nAnswer: 1389282.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383 = -13*j - 409 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9188.24 and 13?\nAnswer: 119447.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001100111 (base 2) in base 4?\nAnswer: -1121213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -0*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i + 4*i)*((-6 + 1 + 3)*(i + 2*i - 5*i) + 8 - 8 - 10*i)*(0 - 1 + 3).\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 5*j**2 + 11*j + 7. Let k(h) be the third derivative of h**6\/120 - h**5\/30 - 5*h**4\/24 - h**3\/2 + 27*h**2. Determine -5*k(w) - 2*s(w).\nAnswer: w**3 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8464 < 6869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/431700 and 119\/150.\nAnswer: 431700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1486304, 2972612, 4458922, 5945240, 7431572, 8917924, 10404302, 11890712?\n\"Answer: r**3 - 5*r**2 + 1486316*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 32370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 - 13)) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 150, 144, 124, 84, 18, -80?\n\"Answer: -u**3 - u**2 + 4*u + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185 - 480. Let a = -2651\/9 - z. Suppose 2\/9*w**4 + 2\/9*w**5 - 2\/9*w**2 + a*w + 0 - 2\/3*w**3 = 0. Calculate w.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:13 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1418, -5732, -12922, -22988, -35930?\n\"Answer: -1438*u**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**9\/45360 - f**8\/1440 + f**7\/315 - 187*f**4\/12 - 25*f. Let c(x) be the third derivative of l(x). Let c(k) = 0. What is k?\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7512668 and 564.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 take away -0.39041211?\nAnswer: 1.69041211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125497 or 125504?\nAnswer: 125497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z)**(2\/13)*z*z*z**(-2\/19)*z\/(z**(1\/16)\/z*z) assuming z is positive.\nAnswer: z**(16057\/3952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 14*p + 38. Determine f(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 3, g: 2, x: 1, e: 4, p: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 46 + 10*s**3 + (3*s - 4*s + 2*s)*(-4*s**2 + 6*s**2 - 3*s**2) + 136*s**2 + 38*s**3 - 136*s**2 to the form j*s**3 + z*s**2 + h + d*s and give j.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*q + 238*q - 4 + 601*q.\nAnswer: 668*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2\/36 - 0). Let g be 3\/(-3)*(m + -3). Suppose -g = -y + 69. What is the remainder when y is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29419 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -13*h - 8. Give p(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**3 - 5*q**2 + 13*q + 12. Let b be c(-16). Suppose -4*a - b = -a. What is a rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4 + 170*w**3 - 2100*w**2 + 11270*w - 22295 = 0. What is w?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.28871 minutes in milliseconds?\nAnswer: 977322.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 3*x + 29 = -15*r, 4*r - 148 = -20*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 86*g + 189. Let q be j(43). Calculate the highest common divisor of 351 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-33431004\nAnswer: 234017028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -h + 15. Suppose -3*i + 3 = -r - h, -3*i - 5*r - 20 = 0. Suppose 3*g + g - 3*j - 562 = i, 3*j = 5*g - 704. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5 + c**2 - 14 - 6*c + 7. What are the prime factors of g(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 minus 3041312234.1?\nAnswer: -3041312029.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l - 3*l + 2*l)*(l - 3*l - l) + (0*l - 5*l + 3*l)*(-3*l - 2*l + 2*l).\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + -13 + (-84)\/(-8))\/(13\/78). Let m(a) = 2*a**2 - 2*a - 1. Let t be m(2). Solve k - 27 = t*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445411 (base 8) in base 7?\nAnswer: 1164065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - -3) + (-139 - -114).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -15. Let v(r) = -7 + 2 + r - 3*r. Let p be v(-4). Put p, 0, f in increasing order.\nAnswer: f, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**3 - 4*d**2 + 6*d + 6. Let l(j) = -8*j**3 + 5*j**2 - 7*j - 7. Suppose -12 = -3*h + 2*p, 3*h + 3*p = -0*p + 27. What is h*l(r) + 7*x(r)?\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56 or 1.846?\nAnswer: 1.846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27850024?\nAnswer: 2, 67, 223, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30360120 divided by 10120040.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-456)\/(-36) - 13) + 1540\/3. Which is greater: 495 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*(sqrt(847)*-2 + 3))**2 - -5*(sqrt(28) + -1*sqrt(28) + sqrt(28) + -3)).\nAnswer: -509460 + 19740*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + 2 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45192 and 3864?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46766714987 + 0.2.\nAnswer: 46766714987.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*f*z**3 - 2*b**2*f - b*f - 109*b*z**5 - 5*b*z wrt z?\nAnswer: -12*b**2*f*z - 2180*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*h**2 + 1283*a + 4697*h**2 wrt a?\nAnswer: -2*h**2 + 1283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 27)\/(161231\/(-395276)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*o - 10 = 0, -4*o + 1 = -19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*d - 67*d = 4253 + 6931 - 1315 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19240 divided by -185.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -869, -1306, -1743?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 136\/1151, 4.\nAnswer: -6\/5, 136\/1151, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smhs when four letters picked without replacement from vmvmvsmsvmhmhi.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39955838 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:25 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392 + 15083*s**3 - 7544*s**3 - 392 - 7542*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.91 - -22. Let u = 0.046 + m. What is u rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + -112 + 2*3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010 and 4305428?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 7*s - 4*l, -3*s - 334 + 627 = 4*l + 309 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -581, 0.4, -5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994 + (-6 - -5 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/306*-3 - 11\/(-12). Let v = 2.2 + -2. Is v at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*g - 6, 0 = 3*p - g + 2*g - 6. Suppose 6*j = 21 + p. Suppose 1 + 19 = j*l. Solve -3*m = 4*b + 23, 0*b + l*m + 20 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 93143187*s**3 + 16 - 93143181*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1346 and 1345 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 4*x**2 - 2*x**2 - 3 + (4 - 2 + 1)*(x**2 - 3*x**2 + x**2) to the form r*x**2 + p + o*x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c - 12*c + 6*c + 2*c - c + 0*c + 2*c + 2*c - 3*c + 3 - 2*c - 3 + (-c + 2*c - 2*c)*(-1 + 2 + 0) - c - c + c - 2 - 2*c + 2 as b*c + y and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56634 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 120*t**2 - 46*t - 24. Let j be l(11). Let q = j - 9970. Round q to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99834, -200738, -301642?\nAnswer: -402546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -6*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -59, -55, -51, -47?\n\"Answer: 4*x - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - 0 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 37. Determine y(-15).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 43 + 6)*(2*a - a + 2*a)*(-8*a**2 + 34*a**3 + 10*a**2 - a**3).\nAnswer: 5742*a**4 + 348*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-3))\/(-14)*-3*-1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Let w(u) = 5*u**2 - u - 365. Calculate w(z(t)).\nAnswer: 20*t**2 + 2*t - 365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 36*n + 74. Let t be f(-38). Sort t, 5, -4 in descending order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3\/2 - 16*p. Let d(y) = y. Calculate -15*d(f) - 4*h(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, -43, -157, -377, -739, -1279, -2033?\n\"Answer: -6*n**3 + n**2 - 5*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730, -1382, -2034, -2686, -3338?\nAnswer: -3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose a + 3 = b. Calculate the smallest common multiple of b and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at most as big as -5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -11\/2916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 14*f + 33. Let c be (((-40)\/3)\/5)\/(156\/(-117)). Determine l(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 14 = 6*n + 7*h, -n + 5*h - 35 = 0. Solve n*b + 3 - 3\/4*b**3 - 9\/4*b**2 = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 6, -2*s - 4 = 4*i - 26. Suppose -s*r + 64 = 54. Let g be 15\/((-28)\/40 - (-2)\/r). What is the greatest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750885 is divided by 187718?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 306404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -397*x**2 - x**3 + 458*x**2 + 0*x**3 - 1 + 1 + 3*x**3 - 5*x**3 + 3*x**3 + 3*x**3 + (-1 + 2 + 0)*(2*x**3 + 3*x**3 - 3*x**3) - 2*x**3 + 2*x - 2*x.\nAnswer: 3*x**3 + 61*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*sqrt(176).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 80 + 68 = 0. Let i = -37 - j. Solve 4*y = 3*s + 2, -2*y - s = -i*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-4)\/210*3). Let l = 38 + i. Suppose l = -r + 4*r. What is the greatest common factor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mimb when four letters picked without replacement from tbbotbitmmombbo.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 8*z**2 + 8*z - 2. Suppose 16*d = 82 + 30. Is w(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -848505665762 and -3.8?\nAnswer: 848505665758.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1040*x + 11. Let l be f(3). Round l to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 7*z - 1675. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 + 160*q - 12. Let z(f) = -16*f**2 + 321*f - 26. Calculate 13*j(x) - 6*z(x).\nAnswer: -8*x**2 + 154*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14905 + -2667993\/179. Sort -4, p, 1\/5 in descending order.\nAnswer: 1\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14434, 14358, 14282, 14206, 14130?\n\"Answer: -76*d + 14510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 s, and 1 r when four letters picked without replacement from {a: 4, s: 5, r: 1, u: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253*q - 1273*q - 1257*q + 5052*q - 1261*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001269 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 4, 3, -3, 2 in decreasing order.\nAnswer: 4, 3, 2, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.45961 * 0.2\nAnswer: -0.291922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 49734 + 49733 - 1161*x**3 + 395*x**3.\nAnswer: -766*x**3 + 9*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -2.282?\nAnswer: -20.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 9 + 4. Let z be (-14)\/(-63) - (-202)\/(-18). Let q = z + y. Solve -4*x - v - 15 = 0, 3*x + q*v = v - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49246\/17, -1\/2, 1 in descending order.\nAnswer: 1, -1\/2, -49246\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 + 5*p + 2. Let f be n(-4). Let x be (-1)\/(-2) - (-226)\/(-4). Is (f\/(-24))\/((-2)\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -22\/5. Let h = 15066 - 15068. What is the nearest to k in h, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 5*t**2. Suppose 47 = 5*i - n + 2*n, 5*i = 5*n + 35. Let j = -4 + i. Let v be a(j). Solve v*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30179505 and -48781.\nAnswer: 30130724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -42*a**2 - 3*a + 3*a + 31*a**2. Let d(h) = 2*h**2. What is d(c(i))?\nAnswer: 242*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-2)\/(-4) + 0). Let b = 1 + 3. Suppose -p = -b*z + 8. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 9*y - 13. Suppose -3*l = 5*q - 128, 0 = -2*q - 2*l - 2*l + 54. Suppose q = -a + 6*a. Put -2, y, a in descending order.\nAnswer: a, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46303767*s**5 - 2*s**2 + s + 513119 wrt s?\nAnswer: 926075340*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20896681, 41793377, 62690073, 83586769?\nAnswer: 104483465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210002 - -10110002001?\nAnswer: 10120212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19351394*j**4 + 21568777*j wrt j.\nAnswer: -232216728*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 6*26\/13 + 11426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojjooxoxkm. Give prob of sequence kj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/3 + 59359*r**2\/3 = 0.\nAnswer: -59359, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 567427739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/6 - -1)\/(-1). Let p = -563 + 569. Solve -p*y - 5 = -i*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-140)*(-14)\/(-24)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 a when three letters picked without replacement from {l: 1, x: 1, m: 1, q: 1, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 3:27 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 6069, -3 in descending order.\nAnswer: 6069, 9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13051 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3142.7 - 3138. Sort -0.05, d, 0, 1\/2 in descending order.\nAnswer: d, 1\/2, 0, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 7*f + 13. Let h be b(5). Suppose -h*n + 36 = 3*l, -2*l + 4*l = -n + 25. Is -3*1 + 1040\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.5 + -49.09. Let f = 2.9 - 2.9. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 5*j - 115 = 0, -j = -23*m + 25*m - 21 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4587 + -4587. Let n(h) be the second derivative of -3\/2*h**2 - 1\/12*h**4 + 5\/6*h**3 + 14*h + g. Determine n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*q**2 + 142*q**2 + 156*q**2 + 138*q**2 - 23*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 1. Let x be b(4). Suppose -1185*h + 21375 = -960*h. What is the remainder when h is divided by (-10)\/(-2)*24\/x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 1. Let g be t(3). Let c = g - -9. Let q(k) = 6*k + 91. Let a be q(-16). Sort a, c, 2 in decreasing order.\nAnswer: c, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4201303 is divided by 2100578.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.6*0.2\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - u - 5. Let l(v) = -2*v**2 - 6. Let c(i) = 3*l(i) - 4*y(i). Factor c(q).\nAnswer: 2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3290 + 26421\/8. Calculate the common denominator of -47\/6 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -125, -137, -165, -215, -293, -405, -557?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -112111012021 (base 3) to base 8\nAnswer: -1054775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(-3*w + 0 + 2 - 3).\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332 + -2202?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = -11*b + 348. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 28. Let k(f) = -3*f + 27. Let x(q) = 6*k(q) + 5*r(q). Let d be x(10). Which is bigger: d or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = 5*k + 1265, 0 = -5*d + 3*k + 1271. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 8, -4*d - 148*h - 30 = -145*h for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -148? (a) 1\/5 (b) 4\/55 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(22)\/sqrt(2) + 3*((-1 + sqrt(11))**2 + sqrt(11) - sqrt(11)) + -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-183)\/(-854)*(-98)\/(-903)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 7*o**2 - o**2 + 2*o**2 + 3*o**2 - 3*o**2 + o - o + o**2 + (-6*o + o + 3*o)*(-o - 4 + 4) - 4*o**2 - o + o.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -10*r - 135. Let j(t) = t**3 + 23*t**2 + 19*t - 26. Let q be j(r). Let w = 17 - -24. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 1. Suppose -25 = -p - f, f = 2*p + p - a. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -542.9?\nAnswer: -16287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221 (base 3) to base 9.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16399396 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 56*w**3 + w**2 + 211*w**3.\nAnswer: 267*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -3*d - 28. Suppose d*a = 67 - 15. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 63, 44, 25, 6, -13?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p**2. Let k be 1283\/3 - (-6)\/18. Let l be ((-20)\/35)\/((-4)\/14). Let q(y) = k + y**l - 428. Calculate h(q(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k + 50. Calculate c(12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4222 + -32?\nAnswer: -4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 43 = -43 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 42. Let s be 7\/(-14) + (-51)\/c. Solve 3*r - s = 6*r - 4*k, -3*r - 9 = -3*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 53 = 3*y + 32, 0 = -4*y - 4*r + 20. Let x(m) = -8*m**2 - 8*m + 4. Let a(f) = -f**2 - f + 1. Determine y*a(j) - x(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:06 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -324300 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3\/5, -3\/4, 12, -1\/188?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2 - 156*y + 160 = 0. Calculate y.\nAnswer: -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*j + y = -157*j - 18, -2*j + y = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9665362 divided by -261226\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riitataaa. What is prob of picking 1 r, 1 t, and 2 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14531, -20291, -29883, -43301, -60539, -81591, -106451, -135113?\n\"Answer: k**3 - 1922*k**2 - k - 12609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - (-139590)\/(-17448))\/(5\/(-80)). Is r equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 30. Suppose 0 = -5*n - 15, -z*o + 183 = -n + 2*n. Is o a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0 - -1 - -2. Solve -3*i + 5*x - 7 = 0, j = i - 2*x + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914866 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 24*k - 54 = 0. Let v be (-6)\/(-3*(-3)\/(-6)). Solve v*m = m - k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 515, 2084, 4701, 8366?\n\"Answer: 524*g**2 - 3*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 802327 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + s**3 - 62*s**2 + 1 + 7 in the form y + q*s**3 + j*s**2 + x*s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 6. Let h(d) = 41*d + 617. Let u be h(-14). Which is the third smallest value? (a) r (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a + 2. Let g(p) = -1. Suppose -5*i + 36 = 4*i. Suppose -5*f - 5 = 3*s, -3*s + i - 11 = 4*f. What is f*g(k) + y(k)?\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 448678139\/123804 - 68858\/19. Find the common denominator of t and 121\/12.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2528 - 2524. Let z(g) be the second derivative of g**4 + 0*g**2 + 3\/4*g**5 + 0*g**3 + v*g + 0. Find the third derivative of z(w) wrt w.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Suppose 2*c - 2*o = 7*c - 9, -2*c + 3*o - 4 = y. Is 2\/13 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166.5 * 100\nAnswer: 16650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14\/13 - 29\/39. Let t*c**5 - 1\/3 + 2\/3*c**3 + c**4 - c - 2\/3*c**2 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/2 + 11*q**3\/3 - 17. What is the third derivative of b(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.91 - 33598924944.\nAnswer: -33598924943.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 - 2*a + 7. What is p(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42198, -26216, -10234, 5748, 21730, 37712?\nAnswer: 53694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 1)*(4*g + 0*g - 6*g) as i*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**7\/360 + 3*c**5\/40 - c**4\/4 + c**3\/3 + c**2 - 3. Let o(j) be the second derivative of w(j). Let i(m) = -m. Give o(i(v)).\nAnswer: 7*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 - 7*i**3\/3 - 5*i**2\/2 - 3*i + 26. Let z be p(8). Calculate the greatest common divisor of z and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11655.1 - -943.1. Let n = u + 10711.99995467. Round n to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 3*v**3 - 6*v**3)*(-1 + 1 + 1)*(2 + 0 - 4)*(-v**2 + v**2 - 7*v**2).\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let q(l) = i*l**2 + 3*l**2 + 864*l - 864*l + l**3. Give q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*d + 187*d = -28 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 79 = 47. Suppose -3*k + 2*k**4 - 303*k**3 - k + n*k + 317*k**3 - 16*k**2 = 0. What is k?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*x - 25, -20*f + 2*x + 33 = -25*f. Which is the closest to 1? (a) f (b) -2 (c) 3\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 19*w**4\/12 - 25*w**2 + 1. Let f(y) = 17*y. What is k(f(a))?\nAnswer: 646*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(j + j**2 - j) + (6*j - j - 4*j)*(0*j + 5*j - 4*j) + 2647*j + 16*j**2 - 2647*j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 14. Let h = 1 - 1.05. Which is the second smallest value? (a) h (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1697, 2542, 3387, 4232, 5077, 5922?\n\"Answer: 845*l + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 861702367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -262, -526, -804, -1102, -1426, -1782?\n\"Answer: -j**3 - j**2 - 254*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 120111*b - 4203810. Give n(35).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = m + 7, -19 = 4*m - 43*c + 44*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 627*j - 614*j + 74, 52*j = 48*j - o - 23 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -144 + 144 - 188*s + 3 - 3 + s + (3 - 2 - 2)*(-4*s + 4*s - 2*s) + (-2 + 2 + 2)*(-2*s - 2*s + 3*s) as u*s + v and give u.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - 0.246\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50664, -50637, -50608, -50577, -50544?\n\"Answer: u**2 + 24*u - 50689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - h - 17 = 11, 5*h + 8 = n. Let s = n - -21. Let u(j) = j**2 - 8*j + 6. List the prime factors of u(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/7)\/(i**(2\/3)*i)*i\/i**(-2)*i**0 assuming i is positive.\nAnswer: i**(31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(18885\/35252)\/((-20)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.25 <= 1532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 8*t - 6. Suppose y = 5 + 1. Let j be d(y). Find the third derivative of -4*b**2 - 2*b**j + 3*b**3 - 2*b**3 - b**3 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70056 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9.7172 * -0.2\nAnswer: 1.94344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjwjwwjjwjjjjjj. What is prob of sequence jwjw?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 times -5134.25?\nAnswer: -718795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-6)\/4). Let z = 319\/483 - -1\/161. Let i = -15.5 - -15. What is the nearest to o in z, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -0.31.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - 43614.019\nAnswer: -43614.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/28 (b) -0.3 (c) -6.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/9 - 1)*(-12)\/(-8). Suppose -m*z + 99 = 9*z. Let c(j) = j**3 - 6*j**2 - 23*j + 6. Calculate the remainder when c(z) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -138*a**2 - 16222*a. Let s(p) = -p**2. Determine k(s(g)).\nAnswer: -138*g**4 + 16222*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6) + 10\/(-75)*-10\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1604 + -1095. Suppose 31*m + 24 + 8377 = 0. Let j = m + w. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(300) + sqrt(12))\/(sqrt(36)\/sqrt(96) - sqrt(6)) - 1*(sqrt(72) + -1 + sqrt(72))*4)*-1)**2.\nAnswer: -1024*sqrt(2)\/3 + 32912\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 298\/3 - 99. Let d = -4 - -2. Which is the nearest to k? (a) -1\/8 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**3\/6 + h**2 - 15*h. Give v(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - 1. Suppose 29*h = 28*h. Suppose 19*x - 3*x + 80 = h. What is the closest to l in 0.3, x, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 3, 629, 1\/11, -5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a. Let n = 2 - 0. Suppose n*k + 2*w = 4 + 6, -5*k + 17 = 3*w. Let v be c(k). Solve r + 1 = v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*z - 44 - 4, 4*z + 4*q = -96. Let d = -21 - z. Solve 0*j = d*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/32*12\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + h)*(367*h - 191*h - 19*h)*(14*h**2 + 1 - 1) to v*h + x*h**4 + d + r*h**3 + i*h**2 and give x.\nAnswer: 2198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292567 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 60*k**2. Suppose 0 = -3*j - j + 84. What is the remainder when w(1) is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a*a**(1\/34))\/a*a)\/a*a**(-1\/7)\/a*a\/(a*a**(-18)\/a*a)*a**12)**(-1\/13) assuming a is positive.\nAnswer: a**(-7113\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/79 or 1?\nAnswer: -17\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163640 - -578559. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-9) + 25 + -21.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728518833 and 1377?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose 6*k = 3*k + 5*k. Solve -4*d - 2*o + x*o + 6 = k, 2*o - 9 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263254368?\nAnswer: 2, 3, 13, 71, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (3 + -6) - -1)*(-145 + 142)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w - 2761 = d, -w - 2*d - 1382 = 0. Let k = 2411 + w. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*u = 5*k - 18, 0 = 4*k - 4*u + 8. Let o(f) = 4 - 1 + k - 126*f - 1. Is o(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24 - 5 = -3*b, 0 = -4*a + b + 43. Let h be (-153)\/(-85) - (-2)\/a. Suppose 0 = h*s - 16 - 12. What is the remainder when 38 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 3\/4 (c) 3 (d) 27 (e) -2 (f) 3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most -265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + sqrt(20)\/sqrt(4) - (0 + sqrt(5) + -1))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(72))**2*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3862.71 - 3829. Let x = -24.08 + i. Let w = -10 + x. What is the smallest value in 5\/3, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1018\/7 - -2662\/21. Calculate the common denominator of a and -13\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2130.73 - -2115. Let r = q + 16. Round r to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -1.6, 0.082, -3?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 2, -7, -36, -91?\n\"Answer: -z**3 - z**2 + 15*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Let s(n) = -4*n**2 + b*n**3 - n**3 + 6*n + 4*n - 2 - 6*n. Determine s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p - 56. Suppose 0*m + m + 16 = 0. Let k(d) = 3*d + 19. Let f(a) = m*k(a) - 5*z(a). List the prime factors of f(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6188.017 weeks?\nAnswer: 62375211.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*f - 506*f = -85 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 18089*v**3 - v - 18042*v**3 + 1 + 2*v**4 as a*v**2 + n*v**3 + r*v**4 + b*v + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87.53369ng?\nAnswer: 0.08753369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -14.0006. Round y to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -46. Find the second derivative of a + 2*a - 292*a**4 + 282*a**4 - x*a wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2019 - -2185. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 10:30 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4707855 and -4.4.\nAnswer: -20714562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:37 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4)*2*-3*-6 + -2)**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 38*b**3 - b**2 - 113*b + 351. Determine o(3).\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6542 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 - -0.7. Let q = -2.36 + 2.46. Which is the closest to -1\/2? (a) q (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/5 - 573*l**3\/5 - 4278*l**2\/5 + 4692*l + 11880 = 0. Calculate l.\nAnswer: -10, -2, 5, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, f: 3, c: 5, i: 1}. Give prob of picking 3 f and 1 l.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1234122?\nAnswer: 1234121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3458660 by 17.\nAnswer: 3458660\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + j - 6, 23*j = -5*p + 28*j + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124546025*b - 21603218 wrt b?\nAnswer: 124546025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*k - 497, 4*f + k + 2001 = 8*f. Let s = f - 498. Calculate the lowest common multiple of 46 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-1 - 1 - -4). Suppose 2*k - 3*k + 28 = w. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78.55 + -14.09. Let l = 65 - n. Let s = 0.540142 - l. What is s rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14326 = -14*d + 627946. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 4. Let x be f - (-4)\/((-4)\/(-3)). Factor b - 2*b**2 + b**x + 3 - 2 - b.\nAnswer: (b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -50227252?\nAnswer: 50227251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5134218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1973\/147 + -94\/7. Is 0 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*a + 126, -6*a = -3*q - 2*a + 370. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/(i*i\/(((i\/i**5)\/i)\/i)))\/(i\/i**(-2\/3))**(-2\/29) assuming i is positive.\nAnswer: i**(-1285\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 33477355?\nAnswer: 33477344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, and 1 b when three letters picked without replacement from {b: 4, u: 1, q: 3, m: 2, w: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/138953 - -138943\/694765. Factor -32\/5 + 33\/5*o - h*o**2.\nAnswer: -(o - 32)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15268650 divided by 1370\nAnswer: -11145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5333 = -290*x + 2497 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 2048154?\nAnswer: 10240770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726 = 21*y - 27816. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 573907 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - w = t + 5, -4*w + 519 - 559 = -4*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 5897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15055532.\nAnswer: 2, 61, 61703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 233061885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 816.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1323, 0.01 in ascending order.\nAnswer: 0.01, 0.1, 1323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 7*p + p**2 - p**3 - 3*p**2 - 1. Suppose 0 = 2*i - i - 6. What is the units digit of j(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -147956.4 and 0.3?\nAnswer: 147956.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b**2 + 0*b)*(-8*b - 2*b**2 + 8*b) + (2*b + 1 - 1)*(-5*b**3 + 6*b**3 - 2*b**3) - 377705*b + 158*b**4 + 377705*b.\nAnswer: 158*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 21. Put t, 5, 3, -3 in decreasing order.\nAnswer: 5, 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 28121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*g - 108 = 217, -1646 = 5*l + 4*g. Let m = l - -499. Let d be (-6)\/(-2) - m\/52. Which is the nearest to -0.1? (a) d (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k**17\/k*k)\/k)\/k))\/(k*k\/(k**2\/k)*k))\/(k**17*k\/k**(1\/42)) assuming k is positive.\nAnswer: k**(-1427\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5 (c) 7 (d) -3\/10 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let g(j) = 2*j + 6. Give l(g(i)).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**3 - 50*p**3 - 33*p**3.\nAnswer: -50*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -4*n. Suppose 3*j = -5*z + 59 + 4, 2*z - 42 = -n*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwswwwwwwswwswwwww. Give prob of picking 2 w.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z\/z**(1\/5))\/z)\/z))\/(z\/z**(-1\/5)*z))**40\/((z\/(z**0*z))**(-30)\/(z**(-1\/2)\/z)**(-36)) assuming z is positive.\nAnswer: z**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29116 - 54940. What are the prime factors of (-295)\/(-35) - 9 - h\/14?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.6 + -10.1. Let r(g) = -2*g - 10. Let d be r(-7). What is the second smallest value in 1\/5, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/(-14)*18879\/(-7192)*4\/6.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698742 = 15610*k - 4542*k + 363786 for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from cieziccbziq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from cvcczzczcccvccc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*q = -135*q - 2*m - 23, 3*m = 2*q - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257501 or 257507?\nAnswer: 257501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1130 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:07 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + n - 84. Let j(c) = -1. Let z(u) = 4*j(u) - w(u). Let f be (12 - 22 - -10)\/(3 + -1). What is the tens digit of z(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -401 and -1.175964?\nAnswer: 399.824036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 164303982 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -182 - -177. Let k(c) = -c**3 - 5*c**2 + 4*c + 24. Let h be k(l). Let o(v) = -v**3 + 5*v**2 - 6*v + 2. Calculate o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -410 - -420. Let t = 1.9 + -2. What is the third smallest value in -5, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1257, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r = 16. Let m be ((-5)\/r)\/((-1)\/(-4)). Let i be 0 + -1 + -2 + m. Sort -3, -1, i in decreasing order.\nAnswer: i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bouluuuuouolb. What is prob of picking 1 u and 3 o?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 2:02 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.9 + -24.16. Let s = -1.2 + i. What is s rounded to 1 decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 5*z + 1 + 0 + 2*z**2. Let d = 55 - 50. Let p be f(d). What is the highest common divisor of p and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from weeeeeeweeeee?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/36*6 - (-1)\/(-2). Let g(y) = 7*y**2 + q*y**2 - 3*y**2 - 3*y**2. Let u(z) be the third derivative of -z**5\/30 + z**2. Calculate g(u(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, s: 2, i: 1, a: 2}. What is prob of sequence ssia?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118188 and 2019780.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17897348 to the power of 1\/2, to the nearest integer?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -272 (base 11) to base 12\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -7, -0.13, -0.7, -16, 0.1, 2\/9?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -79069\/10 - -7896. Suppose 3*m + 17 = 5*x + 2*m, 5*x - 32 = -4*m. What is the common denominator of (-10)\/(-15)*(-127)\/x and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tktefkbfttft. Give prob of sequence tfkt.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3360 and 80?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 22*h + 33. Calculate the remainder when v(33) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15*(328\/(-6))\/(-4). Let w = -607\/3 + s. Find the common denominator of w and (754\/(-348))\/(6\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 3*p**4\/8 - 13*p**3\/2 + 6773*p**2. Calculate o(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 33317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x + 5. Let r be g(0). Let l = 1 + r. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 7*q + 0*q - 9*q - 3*q + 985693 - 985696.\nAnswer: -5*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1)*-4 - (1 + -5). Let d be 16\/(v + (-4)\/(-4)). Let k(u) = -u**2 + 7*u - 2. Let y be k(6). Calculate the greatest common divisor of y and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 429009372 and 13068?\nAnswer: 429009372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -9\/68 (c) 1\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2545 - -2.02.\nAnswer: -2542.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 156*b - 158*b - y, 4*b - 2*y - 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8638414, -8638425, -8638444, -8638471, -8638506, -8638549?\n\"Answer: -4*y**2 + y - 8638411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 2*g + 88)*(1 + 2 - 1)*(2*g**2 + 2*g**2 - 5*g**2).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/19))**(-1\/19)*l**(1\/17)*l\/(l\/(l\/(l*l*l**(-32\/7))*l)) assuming l is positive.\nAnswer: l**(196531\/42959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 27*n + 2. Is l(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6498.197 millennia to months.\nAnswer: 77978364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10628982 a multiple of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4480 is divided by 1119.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/7)*f*f*f**3*f*f*(f**0*f*f)\/((f*f**(4\/3)*f)\/f))**(-5\/2) assuming f is positive.\nAnswer: f**(-685\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 234 and -988413.464.\nAnswer: -988179.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(4 + -15 - -7). What is the nearest to -0.05 in -0.4, -2, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8bb + bb42?\nAnswer: b276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 531.\nAnswer: -159.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 1) + 298 + -306 - (112 + 1).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 1 t when three letters picked without replacement from {w: 1, t: 1, r: 3, g: 1, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 4:09 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3445 - 3417. Calculate the greatest common divisor of 196 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -22 + (13 + -12 - -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 391421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11950 = -2*x, -524 + 520 = d. Is x a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794477 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 18 - 7*f + 6*f + 2*f. Let l be x(-20). Suppose 3*d + 5*w - 88 = 119, -345 = -5*d - l*w. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5 = -2*x, 4*x - 20 = 26*n - 22*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715414 divided by 102202?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110 + -107 - (1 + 8)) + (-12 - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/13 + 67456*w**3\/13 + 1065038*w**2 - 42008644*w\/13 + 28095696\/13 = 0.\nAnswer: -207, 1, 2, 33932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*z - 9 = -z, 2*z - 2 = 0. Suppose -x - 5 = 5*u, -5*u = -5*x - 0*u + 5. Sort x, k, 12 in descending order.\nAnswer: 12, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 333. What is v rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 18 = -2*z, 33*z - 30*z - 777*q + 780*q + 5 + 4 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from jwuwwwzwuwwzzwwz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 134 + (48\/20)\/((-249)\/830). Let v(y) = y**3 + 6*y**2 - 3*y + 6. Let w be v(4). Let g = w + -104. Calculate the highest common factor of r and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16564 at least as big as -16562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttatjattaatj. What is prob of picking 2 t, 1 j, and 1 a?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99) + 3 - ((sqrt(396) - (-1 + sqrt(396))) + (sqrt(110)*-1)\/sqrt(10)).\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 297036966 to the power of 1\/2, to the nearest integer?\nAnswer: 17235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**3 + 4*f**3 + 14*f + 8*f**3 - 2*f**3 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)\/(168\/720*-15). What is the closest to b in -13, -0.02, 15?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + 1) - (58 - (49 - -28))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/150*(16 - 11). What is the second smallest value in -2\/7, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 22155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 1002?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 9*i - 34. Let v(m) = 5*m + 70. Let j be v(-12). What is the units digit of k(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -2*y**5\/15 - 4*y**3\/3 + 2*y**2. Differentiate w(p) with respect to p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1535 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 30. Let y be (-7)\/((-7)\/(-2)) - i. Calculate the greatest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0307+-243\nAnswer: -242.9693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 - 5 = 0. Suppose 0 = 7*q - 2*q - 15, 3 = f*z - 3*q. Put -3, z, 3 in descending order.\nAnswer: z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)\/(l*l**(2\/5)\/l*l*l)*(l**3)**(1\/2) assuming l is positive.\nAnswer: l**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77.5 + -77. Which is the fourth biggest value? (a) 1\/8 (b) -1.1 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3 - 20*h - 139. Let n(z) be the first derivative of s(z). Let a(c) = -16*c**2. Give n(a(o)).\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58266 and 116366?\nAnswer: 40844466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - 3*w)*(-7*w - 28*w + 5*w) - 2*w**2 + 0*w**2 + 0*w**2.\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-2)\/8*-4. Let x(b) = -681*b**2 + b - 2. Let l be x(z). Let r = l + 1077. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:19 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1982*p**3 - 98*p**2 + 1773944*p wrt p?\nAnswer: 11892*p - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22413, -45248, -68083, -90918?\n\"Answer: -22835*v + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 35 = 3*z, -5*v - 2*z - 46 = -4. Let n = -5 - v. Let m(p) = -5*p**3 - 3*p**2 + 3*p - 4. Let l(b) = b**3 + b**2 - b + 1. Calculate n*l(r) + m(r).\nAnswer: -2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 - 2*x - 5. Let i(a) = a**3 - 5*a**2 + 2*a + 5. Let v be i(4). Let b(h) = 5*h**2 + h + 4. Give v*g(y) - 4*b(y).\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k**(-11))\/(((k\/k**(2\/21))\/k)\/k*k*k*(k\/(k*k**(1\/8)))\/k))**(-3\/2) assuming k is positive.\nAnswer: k**(-1717\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2060 (base 7) in base 11?\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11*s - 18. Let v(c) = 6*c + 9. Give 4*p(u) + 7*v(u).\nAnswer: -2*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33310, -33320, -33326, -33328, -33326, -33320?\n\"Answer: 2*h**2 - 16*h - 33296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001127225037 to seven dps.\nAnswer: 0.0001127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/7, -27.06, 2.2 in increasing order.\nAnswer: -27.06, -41\/7, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 12*y + 4. Suppose -15*v - 40 = -20*v. Calculate f(v).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-10))\/(1*2\/20). Let h be -2 - (4*n\/10 - 5). Suppose 0 = -m + 4*m - 9. Solve 3*c - 3*y + m = -2*c, -h*c - 1 = -y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 33, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqeqqmddqdig. Give prob of sequence qe.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 7*a**2 - 23*a + 1. Let u(d) = 5*d - 8. Suppose 0*q - 3*q = -15. Suppose 0 = q*p - 0*p - 30. Determine p*z(o) - 17*u(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10)*(20\/120)\/(10\/150)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -4. Calculate the remainder when 19 is divided by (-46)\/b + 2\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.038371427.\nAnswer: -2.961628573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/14 and -27\/339452.\nAnswer: 2376164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 1, w: 1, e: 10, y: 3, n: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 251*p**2 + 242*p**2 - 492*p**2. Let z(w) = 36*w**2. Determine z(y(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/9*(-13)\/208.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 11*l**10\/37800 + 23*l**6\/120 - 12*l**5\/5 - 4*l**2 - 44. Let y(q) be the third derivative of n(q). Differentiate y(c) wrt c.\nAnswer: 176*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (38\/95)\/((-2)\/5). Let l be (0 - 2)*(-2)\/(-6). Sort l, f, -2\/11 in decreasing order.\nAnswer: -2\/11, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6*k = -50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 101. Let z be -18 + 14 - (p + 0). Is (4\/(-2))\/(4\/z) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 145 + 296 = 3*m, 0 = -3*r + 5*m + 309. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16798040 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1937370 and 876.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 - 9*a**2 + 37*a - 297. Let k be y(7). Calculate the greatest common divisor of 1364 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from mqcmhecw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18402.76897 - 188?\nAnswer: -18590.76897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**6\/60 - s**5\/60 + s**4\/24 - s**3\/6 - 3*s**2. Let r(w) = -w + 14. Let q be r(12). Let v be (22\/(-33))\/(q\/6). Give o(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (21\/(-7))\/(-3)*(3 - -5861)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 - 87211950*q + 633827018566875 = 0.\nAnswer: 14535325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320533 = 5*p + 2*q, -36199 = -4*p - q + 220231. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570400 rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 26*g**2. Let o(s) = -573*s + 98. Let f(w) = 2673*w - 462. Let b(y) = -7*f(y) - 33*o(y). Give r(b(h)).\nAnswer: 1019304*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*x - 22320. Suppose 7*n - x = n. What is n rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.59555 from 27.43.\nAnswer: 26.83445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/48*(6 - (6 + -4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 x when four letters picked without replacement from {c: 1, x: 5, h: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(704) + (sqrt(704) - ((sqrt(704)*-2 - sqrt(704)) + sqrt(704) - sqrt(704)))).\nAnswer: sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*s**5 - 36*s**5 - 39*s**5 + (-s**4 + 2*s**4 - 3*s**4)*(0*s - 5*s + 2*s) - 5*s**5 - 5*s**3 + 5*s**3.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2778 + 2795. Let v(x) = 9*x**2 + 2*x**3 - 3*x**3 - 8 - 3*x - 3*x. Calculate the remainder when v(7) is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.1 rounded to zero dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 2*s - 3. Let w(d) = 2*d**2 + 12*d + 2. Let m be w(-6). Determine n(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 44 (c) 8527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45 + 45 - 8*f**4 + (-2*f**2 + 3*f**2 - 2*f**2)*(2*f - f**2 - 2*f) - 2*f**4 + 2*f**4 + f**4.\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -271, -406, -541, -676?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/28 and -49\/704.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 equal to -2\/18019613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.4 + 16.4. Which is the nearest to -0.1? (a) -0.5 (b) -11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/(-21)*1\/21\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8000236 to the nearest integer?\nAnswer: 2828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 7*t**2 + 7*t + 2. Let b be ((-42)\/(-9))\/(6\/(-81)). Let k = 71 + b. Determine c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.27, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 884 and 1592288?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-76)\/(-24))\/(58\/290*(-25)\/(-15)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12827?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276 or 215026\/783?\nAnswer: 215026\/783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6516 + 9416. Suppose -86*n + 57*n = -u. Calculate the remainder when n is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - 2) - (1 - 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -17.8. Let q = 16.6 - k. What is the third biggest value in 0.3, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.36 in 0.1, -1, 3\/4, -3, -0.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 45620 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11308, 22619, 33928, 45235, 56540, 67843?\n\"Answer: -g**2 + 11314*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooqoqo. What is prob of sequence ooqo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*f**3 - 4*f**2 + 4*f**2 + 0*f**2 - 14*f - 1 + 16*f**3 - f**4 to the form x + g*f + s*f**4 + i*f**2 + d*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34755 + -12602. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -499 and -479 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 11*a**3 + 3*a**2 - 5*a**2 - 15*a**3 - 4 as x + p*a**2 + c*a**3 + d*a and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 919*a**6 - 4*a**2 - 7*a.\nAnswer: 110280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*r + 50, -13*r + 6*r + 55 = 2*d. What is the remainder when 1629 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5057724?\nAnswer: 2, 3, 7, 19, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7588 (base 9) to base 10.\nAnswer: 5588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*w + 4*v, -5*v - 8 = 3*w + 8. Suppose -n - 3*n - 8 = 3*g, 2*n = w*g + 14. What is the closest to 0.1 in -1\/4, g, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 0 - 10 - 1 + 12. Suppose s - 4 = -c, 0 = 3*c - 5*c - 5*s + 14. Suppose 5*v = c*v + 3*r - 6, r = -v + 4. What is f(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23359 + 96033\/4. Let l = -657 + j. Let u = -2377\/635 + 11\/254. Calculate the common denominator of l and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 + 2*m**4)*(-257 + 257 + 43*m).\nAnswer: 86*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 7. Calculate the remainder when 1526\/30 - (-20)\/150 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-98))\/((-7)\/((-686)\/(-21)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - d - 1 + 19, 5*n + 16 = -2*d. What is the tens digit of n\/(-6) + (-272)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 11 + 7 + -12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.66347 years to decades.\nAnswer: 1.266347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 8*w - w)*(3 - 1 + 0) + (-8 - 13 - 11)*(-1805 + 113*w + 1805 + (-3 + 2 + 2)*(-w - 2*w + 2*w))*(-2 - 1 + 2) to p*w + r and give p.\nAnswer: 3594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3828 - 2697. Suppose -4*y + b = -619. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**9\/378 + v**5\/60 - 8*v**3\/3 - 8. Let a(u) be the third derivative of k(u). What is the second derivative of a(t) wrt t?\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 28*d**2 - 18*d + 58. List the prime factors of z(6).\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 3, -0.22, 1, 3529 in descending order.\nAnswer: 3529, 4, 3, 1, -0.22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 525 + -520. Solve w*d + 4*t = 5 + 16, -4*t + 6 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283068348247 plus 0.5?\nAnswer: 9283068348247.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -69*w**3 - 4*w**2 + 6*w - 1. Let z be n(4). Let y = -857 - z. Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2029, 5881, 11031, 17485, 25249?\nAnswer: 34329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 568 = -46. Let z = v + 89. Suppose -10*h = -9*h - 26. Calculate the remainder when h is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 46*l**2 - 11*l + 228. Is y(9) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 10, 2*k = k - s + 5. Let x(a) be the third derivative of 3*a**2 + 0 - 1\/6*a**3 + k*a + 1\/12*a**4. Differentiate x(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9175156*u**4 - 5152*u + 24.\nAnswer: 110101872*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96)\/46 + 570\/6555. Let k(v) = -26*v - 10. What is k(f)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -431 + 0. Let z be -4 + (a\/(-2))\/((-5)\/11160). What is z rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {k: 5, h: 6, i: 3, s: 3, m: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 13*a**2 - 4*a - 41. Let h be s(-13). Let m(n) = -n**2 + 28*n - 186. Let y be m(h). Is 2\/367 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/49506 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 1) + -116 + 135.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6456885530 + -4.\nAnswer: 6456885526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.1. What is h rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwje when four letters picked without replacement from jewjjjwej?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -3.7 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-110))\/((41 + -45)\/4796).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l. Suppose 2*t = 4*t. Let h = -1 - t. What are the prime factors of b(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 + -9 + -9 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 2 + 44 = 0. Suppose -l = -4*l + 168. What is the greatest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 17*a**2 + a + 13. Let p be v(-17). What is the units digit of 4 + (-363)\/p - 1\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1 - 5*w**2 - 4*w**2 + 8 + w**3. Let p = 1 + 8. What is the units digit of x(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -11*h + 0*h**4 - 13\/2*h**2 + 0*h**3 + 17\/20*h**5 + 0. Find the first derivative of o(p) wrt p.\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9826132 divided by -109\nAnswer: -90148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1853, 3706, 5559, 7412, 9265, 11118?\n\"Answer: 1853*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 3*f + 1. Let v be y(2). Suppose -v*c + 4*c - 4 = 0. Solve 15 = -5*i - 5*o - 0, c*o = 3*i - 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16551154757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936081?\nAnswer: 7, 19, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292*a**3 + 1672*a**2 + 1598*a**2 + 282*a**3 - 2*a**4 wrt a.\nAnswer: -48*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5420 divided by 2?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 65*p - 63*p - 2, 3*p = 11 + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.45356856 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39817952.\nAnswer: 2, 311, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:17 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*a**6 - 439*a**2 + 3*a.\nAnswer: 6360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 8, 131, 3, -4, -0.01, 2\/5 in decreasing order.\nAnswer: 131, 8, 3, 1\/2, 2\/5, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -4 - (-6)\/3. Suppose -1250 = 3*i + 2*i. Let o be i\/(-72) + 10\/(-45). Are o and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a factor of 203687548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1494)\/(-166))\/(11\/(132\/(-90)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 21. Let c(p) = 2*p**2 + 8*p - 2. Let k be c(-4). Let n = k + y. What is the nearest to 1 in n, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 16.224. Let t = h - -0.376. Which is greater: -77 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -6)*4\/3*(-1567)\/32907\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3924\/13 - 302. What is the nearest to -5 in -0.2, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1371*u**6*x - 7*u**6 + 9*u**2*x - 19*u*x - u + 4 wrt u.\nAnswer: 164520*u**3*x - 840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 3 = 4*i. Let h = i + 5. Suppose 0*p = p. Solve p = 5*r + h - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1910.32 - 269.08. What is p rounded to the nearest 10?\nAnswer: -2180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 387.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -9. Let z be (-1)\/5 - (-46)\/h. Suppose -3 = -3*o + z. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3282, -3, 48 in decreasing order.\nAnswer: 3282, 48, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/(-3))\/3 + 9. Suppose 2*x - h*x + 26 = -2*b, 10 = 2*x - 4*b. Let g be ((-2)\/(-2))\/(x\/14). Solve g*z + 2 = -8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49144321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 70\/3 (b) -5 (c) -6 (d) 1\/3 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 + 318352*o**3 + 6325644808*o**2 - 342568275984*o - 1084627036044 = 0. Calculate o.\nAnswer: -39821, -3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 152, 321, 562, 875, 1260?\n\"Answer: 36*y**2 - 11*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -30.99915. What is q rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose -y*a + 6 + 2 = 0. Suppose -a*v + 71 = -5. Solve 0 = l - 3*g + 5, g - v = -2*l - 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -22*f**2. Let a(z) = -2161*z**2 - 1857. Give a(r(c)).\nAnswer: -1045924*c**4 - 1857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -106*y**4\/5 + 342*y**3\/5 - 72*y**2\/5 - 424*y\/5 + 96\/5 = 0?\nAnswer: -1, 12\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5332253 (base 8) to base 4\nAnswer: -11123102223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 + -25 - 15) + 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**2 + 4*f. Suppose 31 = 3*y - 4*o, 8*y - 3*o - 27 = 5*y. What is the hundreds digit of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8540749229 rounded to three dps?\nAnswer: -0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7942601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 17*s**2 - 24*s - 5. Let w(u) = -9*u**3 - 25*u**2 - 8*u**2 - 94*u - 26*u - 24 - 51*u**2. Let n(t) = -21*o(t) + 4*w(t). Factor n(z).\nAnswer: 3*(z + 1)**2*(2*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 3*n = 71, -5*l - 2*n = -60. Suppose 23*j + l = -9. Which is the nearest to 7? (a) 4 (b) j (c) -3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10568 + g - 5285 + 17*g - 5281.\nAnswer: 18*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5170a + 3?\nAnswer: -51707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -597?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76107 is divided by 12142.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/5)*i)**(2\/67))**(-20))**(-15\/4) assuming i is positive.\nAnswer: i**(180\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 1867*i**5\/20 + 879*i**2 + 7*i + 135. What is the derivative of s(t) wrt t?\nAnswer: 5601*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from {c: 2, h: 10}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11683742, -1, -37\/2.\nAnswer: -37\/2, -1, 11683742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = v - 2*y + 5, 2*y = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -23)*(3 + -1). Let z be ((-1)\/4)\/((-8)\/y). Let l(h) = -2*h**2 + 3*h - 4. Let p(v) = -3*v**2 + 2*v - 3. Let q(c) = 2*l(c) - 3*p(c). Determine q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 571\/44 - 162\/11. Let o be (-6)\/4 + (-9)\/18. Is o greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 11 - 11)*(-2 + 0 + 1)*(-d - 7*d + 0*d)*(d + 0*d + 0*d) in the form h*d**2 + m*d + w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 1175*x**3 + 765*x**2 + 48*x - 28 = 0.\nAnswer: -2\/5, 7\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -21*p + 87. Let b be h(4). Let q be 130*2*(-2)\/(-10). Suppose 5*n = q + b. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -8. Let n be (-165)\/(-10) + 2\/s. Let c = n - 11. Solve 7 - 2 = c*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 14.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-27)\/6 - -2). Let p be -2*(0 + 1 - 15). Suppose -720 = -170*h + 146*h. Solve -h = -5*o - y*a, -3*a = 5*o + a - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) 0.04763 (c) -5\/111 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69896 = -850*w - 2746 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55013 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1115890, 1, 0, 4, 0.2, -4, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 21*x**2 + 17*x - 66. Let h(t) = t**3 + 150*t**2 + 997*t - 594. Let k be h(-143). What is g(k)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.29107 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(19) + -1 + sqrt(19))*4)**2 - sqrt(171)\/(sqrt(36) + sqrt(9))) + 1)*-5.\nAnswer: -6165 + 965*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -90*y**3 - 542*y**2 - 18*y. What is w(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159222961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*j = 9, 0 = -2*g - 4*j + 6*j + 26. What is the remainder when (-218)\/(-4) - 1\/(-2) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/23 (b) -2\/5 (c) 3 (d) -1\/13 (e) -7 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120 - -1200211222?\nAnswer: 1201000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 9*o = 4*o - h*i - 71, 5*o = -3*i - 69. List the prime factors of (6\/9)\/((-1)\/o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 2, -140?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 1284 - 69591 = 0. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320 and 100320?\nAnswer: 100320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0, -634732, -5 in decreasing order.\nAnswer: 3, 0, -2, -5, -634732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3*t - 3, t = 7*n - 3*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 9*b**2 - 22*b + 8. Let f be q(4). Suppose 0 = 9*d - f*d. Factor -4\/7*i**2 + 2\/7*i**5 + 10\/7*i**3 + d*i - 8\/7*i**4 + 0.\nAnswer: 2*i**2*(i - 2)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 7 - -6) + (-2 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15821242 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1075*p - 1101*p - 26. Let d(x) = x + 9. What is d(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from uusussusssukusssusss?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -3*r**8\/8960 - r**7\/3360 + r**6\/320 + r**5\/160 - r**4\/4 - 6*r**2. Let z(g) be the second derivative of q(g). Factor z(s).\nAnswer: -3*(s - 1)*(s + 1)*(3*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002166524652 to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 75 - 7 = -106 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4564059.\nAnswer: 1\/1521353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13438.\nAnswer: 2, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*u = 2*u + 4 - 21, 1006*h - 1002*h - 3*u - 43 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34163149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 972295.6 weeks in nanoseconds?\nAnswer: 588044378880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83416812?\nAnswer: 2, 3, 307, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*g + 66, -4*j + 0*g - 5*g + 88 = 0. Suppose -5*u - 2 = -j. What is the remainder when 11 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4756\/9 or 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -51*k**2 - 14*k + 27. Let a(s) = 49*s**2 + 12*s - 28. Let u(j) = 7*a(j) + 6*i(j). What is the derivative of u(w) wrt w?\nAnswer: 74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2062694*m**2*t - 2*m - 101055*t wrt m?\nAnswer: -4125388*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 108, 6, 0, -22.\nAnswer: -22, -3, 0, 1, 6, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 + 144. Which is the nearest to -1? (a) 2\/7 (b) -0.02 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - ((73 - 116) + 51)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1919966.\nAnswer: 3\/959983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2293, -51 in ascending order.\nAnswer: -2293, -51, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*-1*(sqrt(35)\/(sqrt(5) - sqrt(180)) - (sqrt(7) + 6*(sqrt(7) + 0))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**4. Let v(j) = 12*j**5 + 3*j**4 + 21*j. Let h(q) = -3*o(q) + v(q). What is the second derivative of h(c) wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-11)*(-76)\/(-456)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v**2 - 15*v + 12*v**3 + 9 - 4*v**2 + 5*v**3 - 14*v**3.\nAnswer: 3*(v - 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000472689994 to seven dps.\nAnswer: -0.0004727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/5? (a) -1\/3 (b) 7\/8 (c) -2\/9 (d) -1615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejiejeiel. Give prob of sequence jei.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94 + -91)*10\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxx when three letters picked without replacement from mxxxmmxxmxxmm?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, y: 15}. What is prob of picking 2 y and 1 z?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 615.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5310358144 + 5310357990.99999596. Let z = 11.2 - 164.2. Let h = z - f. Round h to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41123 and 1306909?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7723477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 6\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeaaaaeeeeeeeae. What is prob of picking 3 e?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/35)\/((-30)\/75).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h**6\/h)\/(h\/h**(5\/2)))**(-2\/7))**34 assuming h is positive.\nAnswer: h**(-646\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18265252909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/48 + 29*b**3\/24 + 15*b**2\/4 + 73*b + 2. Factor c(p).\nAnswer: -(p - 30)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*7\/((-126)\/(-38)). Put l, 4, 0, -2 in ascending order.\nAnswer: -2, 0, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1072 - -404?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(12))\/sqrt(3) + (sqrt(288) + sqrt(288) + 1)*6.\nAnswer: 6 + 289*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 4*z**2 - 4*z - 4. Let y be t(-4). Let s be (-34)\/y - (-1)\/(-6). What are the prime factors of 40\/6 + s\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**2 + 2*t**2 - 2 - 2*t**2 + 2 + (2 - t - 2)*(3*t + 11*t + t))*(-4*t - 6*t - 6*t).\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33238495 divided by 162139.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4836 divided by 710\nAnswer: -2418\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31925 by -6385.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 275\/35)\/(36\/(-126))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/166 and 89\/10.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 89205\/(-5810) + 4 + 4. Let m = o - 2\/581. Calculate the common denominator of -65\/6 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 24*m**2 - 91*m + 519. Calculate j(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttd when three letters picked without replacement from {d: 14, t: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -153, -0.5, -1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144374*o = 144314*o - 2205 - 435 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014037047 rounded to 5 decimal places?\nAnswer: -0.01404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.686 + -35.6762. Let h = 23 + k. What is h rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.128 (b) 2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 27*r. Let z(u) = -u**2. Give z(d(x)).\nAnswer: -x**4 + 54*x**3 - 729*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976137 (base 10) in base 3?\nAnswer: 10201101202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3533502372?\nAnswer: 2, 3, 101, 2915431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40622942321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f + 4. Let l(w) = -14*w - 3. Give 5*l(i) + 4*o(i).\nAnswer: -10*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -108*q + 2. Let b be j(5). Let i be 1 + (4 - 3 - b). What is i rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 9. Let b be d(7). Let a = -11 + 14. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.071 (b) 0.048 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71730 and 10?\nAnswer: 71730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2335 + -2335. What is the biggest value in -4\/31, b, 0.1, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -596 from -5.2.\nAnswer: 590.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 8 = -11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 + 5\/(15\/414). Suppose a = 5*s - 28, 0*s + 2*a = 3*s - 21. Suppose 9*l - w = s*l. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49493 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17978 and -3.\nAnswer: -0.53934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 5*u - 10*u + 6*u - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.55 - 45.55. Let h = r - -43. Which is smaller: h or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-m**2 - 3*m**2 + m**2) - 1 + 2*m**2 + 1 - 2*m**2 + 0 + 0 + (5*m - 3*m - 3*m)*(0*m + 3*m - 2*m) + 2 + 2*m**2 - 2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*l - 40 = 0, -10*a + 13*a = 2*l + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 4*u**2 + 69*u - 580. List the prime factors of g(11).\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203344 (base 5) to base 12.\nAnswer: 10b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)*g*g**(1\/5))\/(g**(2\/5)*g**(-4)\/g))\/((g*(g\/g**(-1))\/g)**(-9)*(g*g**(2\/9))**(-31)) assuming g is positive.\nAnswer: g**(2416\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7156716727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 1730, 5840, 13840, 27026?\nAnswer: 46694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.272*-2.\nAnswer: 0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 172 + 337 - 171 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m*(m\/m**(2\/3))\/m)**(-3)*(((m*m**(-1\/4))\/m)\/m)**(2\/57)\/(m\/(m**(2\/7)\/m))**39 assuming m is positive.\nAnswer: m**(-109567\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 19563822374349?\nAnswer: 19563822374353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-71)\/4*1*-4. Let k = v + -26. Let f = -31 + k. Solve -3*g + 0*y - 2*y = -4, -2*y = -2*g - f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v + g = -52*v - 10, v = 3*g + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a\/(a*a**(-3\/5)*a))\/a)**(-4\/13)*a*a**(-20)*a*a**(-29) assuming a is positive.\nAnswer: a**(-3067\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103*c + 41 wrt c?\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c**2 + 4*c - 5. Let f(z) = 2*z**2 + 18*z - 40. Let q be f(-11). Determine u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 14. Suppose -204 = 4*u - z*u. Suppose -37*i + u*i + 15 = 0. Solve -i = -2*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t - 27*t + 121 - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 1, e: 4, z: 2, w: 1}. What is prob of sequence yz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69739*r**6 - r**5 + 2*r**4 - 216*r**2 + 496*r.\nAnswer: -8368680*r**3 - 60*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/91)\/(1*(-2)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2165, 4063, 5963, 7865, 9769?\n\"Answer: d**2 + 1895*d + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*v**5 + b*v**3 - b*v**2 - 298*b*v + b + 48*v**4 wrt v.\nAnswer: -60*b*v**2 + 6*b + 1152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - -20 - -44 - -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/7 - 30876*s**2\/7 + 123528*s\/7 - 17648 = 0. Calculate s.\nAnswer: -15442, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8 = 3*s - 7*s, -2*s - 4 = -3*k. Let n(z) = -138*z**2 + 2*z. Let i be n(s). Let g = i + 1651\/3. Is -6 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*k - 1114, -2*k + 250 + 124 = m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205951676, 205951682, 205951692, 205951706, 205951724?\n\"Answer: 2*m**2 + 205951674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.892 - -13.898. Let x = q - -0.21. Let m = x + -17.000044. Round m to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -88*f - 1. Let q be p(1). Let u = 131 + q. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6885?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3911942*y. Let u(r) = -r**2. What is c(u(s))?\nAnswer: -3911942*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8*l - 28 = -3*l, -3*x = 2*l + 1. Let c(n) = n**2 + 2*n - 3. Determine c(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11321*w - 3832. Does 54 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106266 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*j**2*u - a**2 - 195*a*j**2*z - 6*a*j*u*z + 4*j**2*u + 2*j**2*z wrt u.\nAnswer: a**2*j**2 - 6*a*j*z + 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 2 + (-5 - -8). Let w = 3 + -1. Put m, w, -1 in ascending order.\nAnswer: -1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 137*b**2 + 3*b - 11. Let o(k) = -2*k**2 - k + 5. What is a(t) + o(t)?\nAnswer: 135*t**2 + 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 18, 35, 52, 69, 86?\n\"Answer: 17*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**3 + 3*z**2 + 3*z - 7. Let g be x(3). Solve -27*y - 110 + g = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.212365 to three decimal places.\nAnswer: 4.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (680\/119)\/((2\/(-21))\/((-1)\/(-3)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 80729 + 80729.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3720 divided by -155\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6974, 14917, 22762, 30461, 37966, 45229, 52202, 58837?\nAnswer: 65086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 5 - 9 + 4.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36253183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 2353\/78) + 46.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**2\/2 + 22*p + 5. Calculate the remainder when 5\/((-30)\/(-279))*8\/6 is divided by t(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27079 divided by 6?\nAnswer: -27079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f - 2*i, -2*f = 12*i - 14*i - 8. Let t = 98 + -96. Put f, 0.39, t in decreasing order.\nAnswer: f, t, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -6. Suppose 39*z - 34*z = d. Factor 12*g**2 + 8*g**3 - 4*g**3 + z*g**3 + 2*g**3 - 3*g**4.\nAnswer: -3*g**2*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-4) - 3 - -7. Sort k, 3, -152 in ascending order.\nAnswer: -152, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l**2 - 4*l - 3. Let x(f) = 4664*f + 37330. What is the least common multiple of x(-8) and i(-3)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -307878, -615731, -923572, -1231395, -1539194, -1846963, -2154696, -2462387?\n\"Answer: s**3 - 307860*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let q(v) = 3*v + 26. Let w be q(7). Suppose 4*d = w + 5. Let a(m) = 13 + 12*m**2 - d. What is a(i(y))?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 94115556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/80 and 103\/24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1\/4, 350\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49898919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(576) - -5*sqrt(576)*-2) + sqrt(576)))\/((2*(sqrt(162) - sqrt(18)))\/(-1*sqrt(9)*-1)).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/5)\/637*(12 - 14)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*f**3 - 104*f**3 - 72*f**3 + 40*f**3 - 3*f**3.\nAnswer: -263*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2045*k**2 + 214*k + 422. Let q be w(-2). Solve 0 = -q*j + 8166*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27 + 7 + 7)\/((-11218)\/5608 - -2).\nAnswer: 2, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9 - 1\/(-3). Let q(j) = j**2 - 6*j - 4. Let d be q(7). Differentiate -s - 1 + 4 + 2*c**d with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -142033, -284070, -426111, -568156, -710205, -852258?\n\"Answer: -2*n**2 - 142031*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -475\/7 + 68. Let p = 0 - -0.1. Which is the closest to -2\/9? (a) k (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 2, f: 3, s: 2}. Give prob of picking 2 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12576 < -4567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + -1 + sqrt(15)\/sqrt(3)*1.\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, 2\/15, 6.2, -4?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 190022648808.\nAnswer: 190022648808.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14637834 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -14084 and -25225 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 3*p - 26 = 0. Suppose -p*c + 3*m - 9 = -23, 0 = c + m - 12. Solve 0 = -6*s + c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 5*c = 0, 3*c = 3*y - 5496. What are the prime factors of y?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c = 44*c + 87. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10557198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -24990.\nAnswer: -24989.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5337 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 0*j - 18 = -3*w, 0 = -4*w + 4*j + 12. Let h(o) = -o**2 + 4*o + 3. Let k be h(4). Solve -13 - k = w*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 184 = 5*k - 86, -3*k - 5*u + 190 = 0. Let a = 90 - k. Does 20 divide 2\/(-7) + 1025\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhyhyyyhyyoyyhyyoy. What is prob of sequence hoo?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 4*a + 30 - 86 + 27 + 2*a**4 to l*a + u*a**4 + v*a**2 + t + b*a**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3103211 + -10?\nAnswer: 3103201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -r - 17, 2*z = 3*z - 4*r - 5. Find the common denominator of -1*1 - (-549)\/(-144) and (1 + z)*30\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(891))**2 + sqrt(11) + sqrt(11) + sqrt(11) + -2 + sqrt(11) + -1)*2 - (0 + 3*sqrt(55)\/(sqrt(80)*1)).\nAnswer: -259*sqrt(11)\/4 + 1784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*u + 5. Let m(v) = u*v - 2*v**2 + 7*v + 3 - 11*v. Let z be m(0). Solve -z*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 5*o**2 + 5*o + 4. Let f be u(-4). Suppose 0 = -5*l + a - 0*a + 40, f = -5*l + 3*a + 40. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28393422 is divided by 3862?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11819 is divided by 194?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 35.17. Let v = d + -0.08. Round v to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from bxbaxaqbq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:00 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 4. Let v = m + 8. Suppose 8*z - 20*z + 1560 = 0. What is the greatest common divisor of v and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246*g + 4*u - 41 = 1254*g - 157, -52 = -2*g + 2*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 4*w, 0 = 4*w + 2*m - 8. Suppose -3 = -j + w. Suppose 326 = 124*z + 240 - 667 - 1107. Solve -h - j*h = z, -3*h = 2*l + 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52*(27\/4 - 11 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.679914 rounded to 3 dps?\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(1584)*-2)**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295866.03 rounded to the nearest one thousand?\nAnswer: 296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r - 4*n - 32 = 0, 0 = -5*n. Let s be (-6)\/r - (1 + -1). Let m = 0.199 - -0.201. Which is the third smallest value? (a) 1\/4 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22109*r**2 + 28878*r wrt r.\nAnswer: 44218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -24*x - 24*x + 52*x - 44. Let m be y(10). Let k be m\/10*(-20)\/4. Solve -2 = -k*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 1, 0, 0.461?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 - -3?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 101.86848 milliseconds?\nAnswer: 0.001697808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11 - 19*q - 21*q - 17*q + 51*q. Let g be o(7). Round g to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5289621.5 to the nearest ten thousand.\nAnswer: -5290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c - 34*c - 106*c + 2856 = 0. Suppose -z = -3*z + 88. Calculate the least common multiple of z and c.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38269*k - 76521*k + 38271*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631903774?\nAnswer: 2, 315951887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2568, -2903, -3228, -3537, -3824, -4083, -4308?\nAnswer: -4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 3*r**3)*(-9 - 5 + 12 - 8*r) + (3*r**2 + 0*r**2 - 4*r**2)*(-r**2 + r**2 + 6*r**2) + 2 - 2 + 2*r**4)*(-4 + 1 + 4)*(-2 - 2 + 7).\nAnswer: -84*r**4 - 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/2367213 in -2\/7, 0.5, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1696, -0.1, -4, 3, 1\/4, 0?\nAnswer: -0.1696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5048 by 1.\nAnswer: 5048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12881202 divided by -6859\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*t - 1 + 33 = 0, -3*q = 3*t - 51. What is the greatest common divisor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 57 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 7*g - 6 = -2*u, 4*u - 2*g = 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l = -81*l + 30 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + -1194 + 1195?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 8*o**2 + 3. Let z be k(-8). Suppose -79 = -5*h - 4*m, 4*m + 5 = z*h - 36. Calculate the remainder when 59 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-3*d**4 + 2*d**5 + 3*d**4)*(10 - 2 + 0)*(-4 - 1 - 3).\nAnswer: -256*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2778475 to the nearest 1000.\nAnswer: -2778000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/7 (b) -5 (c) 0.4 (d) -0.504\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 916071413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 503.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4 - (-7)\/14. Suppose w - 5 = -r. Let h(p) = -4 - 3*p**3 + 3 + 3*p**2 + 2*p**r + 2*p**2. Determine h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5211911132?\nAnswer: 2, 1302977783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/17, -3\/65, -5.4, 0.2 in decreasing order.\nAnswer: 0.2, -3\/65, -2\/17, -0.3, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011000 - -10000100110?\nAnswer: 10111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j*x**3*z + 4*j*x**3 - 108*j*x**2*z - 96*j*x**2 wrt z.\nAnswer: 7*j*x**3 - 108*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1\/4 (c) 2 (d) 15\/11 (e) 0.04 (f) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/8 (b) -5 (c) -4 (d) 0.1 (e) 465905\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 13. Give t(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/12*(-4)\/(-5). What is the first derivative of -9 - i*r**2 - 1 + 8 wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*y - 2, -1 = -4*y + m - 2. Suppose 0 = -5*l + 4*k + 1765, y = -3*l + k - 0*k + 1066. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 505*r + 38. Suppose -15 = -19*l + 4. What is the tens digit of k(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*c + 39 = 0, -2*a = -c + 3*c - 16. Let j be 1\/(a\/495 - 8\/(-44)). Solve 0*w = -j*l - w + 20, -3*w - 5 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*b*k**2*n**3 + b*n**3 + b*n**2 + 2*k**2*n**3 - 91*k wrt k?\nAnswer: -28*b*n**3 + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20)*-3)\/(sqrt(400)*2).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhkroxo. What is prob of sequence lxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 46.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -3) + 20\/1. Let f(a) = -5*a**2 + 169*a + 37. Let i be f(34). Let d be -4 - (i - 9) - -2. Solve -r = h - 0*w - d*w, w = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 6 (c) -344 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 - -45?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43860488327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*h + 33700, -k + 5*h = -3*k + 33637. Does 209 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6462541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -21877.7647 to the nearest one hundred.\nAnswer: -21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34655448 - -4?\nAnswer: -34655444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(832) + (sqrt(104) - (-1*sqrt(104) + sqrt(104))*6)\/sqrt(2))**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*w - 68732 = 25373, 5*y + 117610 = -2*w. Is 11 a factor of (-4)\/(-34) - y\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 - 2*l + 1. Let g be x(1). Let h = g + -3. Solve -2*b - h*b - 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -60. What is the biggest value in -0.5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.407994598 + -3.408. What is n rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (1 - (-6 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 100.39 and -24.915.\nAnswer: 75.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*n**2 - 15*n**2 + 32*n**2 to the form a*n + i + u*n**2 and give u.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*d - 2254 = -2163 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 1, p: 2, q: 2, g: 1, f: 2}. Give prob of sequence qpih.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 + 3*u + 20*u - 26*u - 25*u.\nAnswer: -28*u + 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 433 (c) 1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 7*o**2 + 14*o**2)*(-26*o + 26*o - 16*o**3).\nAnswer: -272*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.4 - -24. Let s = j + 7. Let c = 0.602 - s. Round c to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3226, 14763, 34572, 62659, 99030?\nAnswer: 143691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.6 - -30. Let l = h - 6. Put -5, l, 1\/7 in ascending order.\nAnswer: -5, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4525 - 4*p**3 - 6*p**3 - 2236 - 2289.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:08 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -67. Is i < -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 5*t**2 - 24*t - 70. What is f(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - 2*sqrt(25))\/sqrt(5) - (sqrt(245) - -1*sqrt(245)) - ((0 + sqrt(125))*2 + 2*(0 + sqrt(125)))**2.\nAnswer: -2000 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = -m - 3*t, -2*t = -4*m + 82. Suppose 5*z - 6*z + 4*a = -m, -3*z - 5*a = -105. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 494, 1\/3, 9, 3 in decreasing order.\nAnswer: 494, 9, 3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 7740.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 4*x + 4*x)*(2*x**2 - 4*x**2 - 2*x**2)*(87 + 49 + 70 + 25).\nAnswer: -1848*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 12*z**2 - 21*z - 16. What is the units digit of p(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 22*u + 767 = 0, 5*c - 5*c + 0*c - 630 = -4*u + 22*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4683 is divided by 2274.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 9*m = 10*m + 134, 0 = 4*a - 2*m - 106. What is the greatest common divisor of 14256 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-241)\/(-9) - -2) + 134\/603. Let o = 100 + -71. What is the greatest common divisor of q and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174910861.\nAnswer: 29, 6031409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -30.3. Let a = z - 0.7. What is the biggest value in a, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 3*t**2 - t - 1. Suppose -5*d = 15, -y - 4*d = -d + 9. Suppose y = 2*x + 1 + 1. Let k be x - (-10)\/5 - 3. Determine b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 102. Suppose 2*z + 3*v = -49, -3*z + v - 13 - j = 0. Let y be 2\/(-5) + 8\/z. Which is the third smallest value? (a) y (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 98 + -25 + (3 - 14).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119851052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10011*b. Let p(w) = 409*w. Give h(p(d)).\nAnswer: -4094499*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 128. Which is the fourth biggest value? (a) x (b) -3 (c) 4\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 5*t + 4. Let y = 4 - 1. Let v be p(y). Suppose -1 = -4*s + v. Solve -a + 0*c = 4*c, -2*c = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-2915)\/3816)*(-5)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1707*a**3 - 7203*a**2 + 24547872*a wrt a?\nAnswer: 10242*a - 14406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23310022*u**2 + 40645399*u wrt u?\nAnswer: -46620044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.047 rounded to one decimal place?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12)*-1) + 1 + (3 + -2*sqrt(425))**2 + -1.\nAnswer: -61*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543021517, -543021525, -543021545, -543021583, -543021645, -543021737, -543021865, -543022035?\nAnswer: -543022253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -73*q**2 - 4 + 72*q**2 + 2*q - 6*q. What is z(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -1a20771?\nAnswer: 1a20778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 24 = -4*a - 23, t = -4*a + 29. Solve -89 = -a*b - 35 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(((-6)\/(-4))\/(3\/4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 3, d: 1}. Give prob of picking 1 y and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304403232 and 151712?\nAnswer: 3348435552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/196 or 0?\nAnswer: 1\/196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n = 2*s - 19*n, 2*n + 9 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-12)\/8 - -3). Suppose -x - 4 = o, 0*x - s = 3*o - 2*x. What is the units digit of o*22*(-12)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 5*o + 1. Determine x(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -2 + 44 - 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.514731mg to micrograms.\nAnswer: 3514.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 3, o: 1, y: 2, k: 2, p: 4}. What is prob of sequence kp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1184 + 1184.00001273. What is y rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 420748*l - 18084768.\nAnswer: -4*(l - 105144)*(l - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -49.88 (b) -1\/9 (c) 1 (d) 0.05 (e) 3 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.6 + 1.4. Let o = 2005 - 1786.4. Let z = 219 - o. What is the smallest value in j, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 646455840*w. Let o(a) = -2*a**2. Calculate o(m(c)).\nAnswer: -835810306140211200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/7)\/((-6)\/(-28)). Let b = h - -69. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j + 9. Let y(x) = -x + 1. Determine 2*i(u) - 22*y(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 539, 531, 511, 473, 411, 319?\n\"Answer: -p**3 - p + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-84084)\/1463)\/(-78))\/((-4)\/(-38)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/9 + 340*y**2\/9 + 2464*y\/3 + 784.\nAnswer: 4*(y + 1)*(y + 42)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 31 - (-1 + -3)) + -3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152)*2)\/sqrt(8))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272) + 1 + sqrt(272) + sqrt(272) + (sqrt(272)*3 + 5 - sqrt(272)))*-3)**2.\nAnswer: 2520*sqrt(17) + 61641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from zozoozzzzoz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*r + 1)*(2 + 0 + 0)*(-1 + 3 + 2).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in 1.3, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1413321 + -4?\nAnswer: -1413325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8218, 64541, 217380, 514981, 1005590, 1737453?\n\"Answer: 8041*u**3 + 12*u**2 + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3978 by 56.\nAnswer: -1989\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90.98 + -92. Let a = -0.02 - w. Do 1\/4 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + (36 - 8))*(-1)\/3 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/(sqrt(20)\/sqrt(2)) - sqrt(40))\/sqrt(2)*-2)\/((2*sqrt(100)\/sqrt(2))\/(sqrt(5) - (sqrt(5) - sqrt(45))*-4))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -842*f**2 + 420*f**2 + 422*f**2 - f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 505477698 to the power of 1\/3, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 46*v + 20. Let b(c) = 3*c + 4. What is -2*b(t) + x(t)?\nAnswer: 40*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 30 = 0. Let h(g) = -g**2 + 7*g + 8. Let q be h(t). Let i = q + -14. Which is bigger: i or -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.03, -2, -19, -64 in decreasing order.\nAnswer: -0.03, -2, -3, -19, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331579 (base 11) to base 3.\nAnswer: 222212210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26b0 (base 12) to base 11\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/277 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2770349815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66770\/37949 + -129628526333\/1821552. Let g = 71165 + c. Find the common denominator of -9\/8 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y**2 + 4*y + 7. Let s(a) = -2*a**3 + 3*a**2 - 5*a - 8. Give 5*i(z) + 4*s(z).\nAnswer: -3*z**3 + 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 110694, 885691, 2989254, 7085667, 13839214, 23914179, 37974846?\n\"Answer: 110714*t**3 - t**2 + 2*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 53*n - 1535. Let m be l(29). Solve -2 = -2*q + 9*g - 5*g, -3*g = m*q + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = -3*j. Solve -3*x - j*n + 6 = -0*n, -2*x = 3*n - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -20*a - 282. Calculate the remainder when 881 is divided by c(-19).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1142*t + 77*t - 242*t - 241*t)*(-t**2 - 2 + 2 + (-t + 5*t - 5*t)*(-t + 0*t + 2*t) - t + t - 2*t**2 + t**2 + t**2 - t**2 + t**2 - 2*t + 2*t).\nAnswer: 3096*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-4)\/(-36)*287\/(-492).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*w**2 + 511 + w - 3*w - 509 - 123*w**2 + 2*w.\nAnswer: -17*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 50. Let u be 1 + (1 - (2 + -25)). Calculate the highest common factor of j and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -414.4 + 415. Which is the nearest to 2\/9? (a) 0.2 (b) s (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15\/7, 1, 0.02, -0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2\/5 - 2498*k\/5 - 5004\/5 = 0?\nAnswer: -2, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109381583.\nAnswer: 23, 37, 79, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:24 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109994563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 7*m**2 - 7*m + 19. Let q be x(-5). What is the hundreds digit of ((-78)\/(-39))\/(q\/286)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-10))\/(6\/16). Let u be -2*h\/2 + -1. Suppose 0 = -u*m - 12, -3*d - 4*m - 14 = m. What is the greatest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-12))\/((-1)\/(-80)). Suppose 2*d = -2*q + s, -3*q - 68 = -4*d - d. Calculate the remainder when d is divided by (0 - 0) + (504\/(-12))\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a**2. Let d(g) = -70656*g**2. Calculate u(d(v)).\nAnswer: 59907244032*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190719.\nAnswer: 3, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/3 + 2*o**3\/3 + 5*o**2\/2 + o. Let f be (-4)\/(-18) + 136\/36. Is w(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) + sqrt(616)*-1)\/sqrt(11) - (sqrt(5600)*1 + sqrt(5600)))\/((sqrt(392)*1 + sqrt(392))*-1).\nAnswer: 10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4717*k + 10660*k + 32556*k.\nAnswer: 38499*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*y = -2 - 18, 2 = y. Suppose 6*k = 4*k + q + 96, 2*k = t*q + 96. Calculate the greatest common divisor of 32 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/((-180)\/16) - 508392\/(-40). Suppose -18539 - j = -31*r. What is the highest common divisor of 84 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 26. Let a be 6 - (-1 - -3)*-1. Let h be j(a). Let f(g) = -2*g**2 + 3*g**2 - 3 + 3*g + 2 + 3. Calculate f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 297\/(-6)*(-10)\/(-6). Let o = -537313687\/6516118 + -6\/465437. Let h = o - r. Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 88*s + 2. Let b be y(1). Calculate the greatest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 = 45*y + 43*y - 1964. Solve 37*r - 5*r + y = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 106, 110, 118?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2640129055763 - -93\nAnswer: -2640129055670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -881 - -890. Solve 53 = -p*c + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 992075 by -175.\nAnswer: -5669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 0, -27, -74, -147, -252?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -606675, -1213298, -1819921, -2426544?\n\"Answer: -606623*k - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 5*p - 12. Let n be c(7). Let m = 7 - 17. What is the second smallest value in m, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 98 = -2*r. Let x(a) = -19*a - 63. Let v(j) = -2. Let m(p) = r*x(p) - 3*v(p). What is the first derivative of m(g) wrt g?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 271, 407, 543?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 13*h - 9. Let d(k) = 2*k**2 - 7*k - 5. Let t(c) = -7*d(c) + 3*y(c). Does 4 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a factor of 1773147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100994 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 15 - (-5 - -7 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*l + 107757, 3*b = 5*l + 84721 - 20026. Does 143 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = -c. Suppose 5*z = 5*k + 100, 5*z + 4*k - k = 132. Solve c*j - 5*j = -a + z, -4*j - 20 = -a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -71*z**7\/42 - z**5\/10 - 39*z**4\/4 + z**3\/6 + 204*z. Find the third derivative of s(c) wrt c.\nAnswer: -4260*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 3*o**2 - 53*o - 26. Let w be r(-22). Does 59 divide w\/(-32)*4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 109037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 3*u. Suppose 5*r - 2*g = 139, 2*r + 2*g + 2*g = 46. Suppose -19*d = -r*d + 48. Determine y(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/2262 and -101\/13728.\nAnswer: 398112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7152876.\nAnswer: 2, 3, 431, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3827765.\nAnswer: 5, 199, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138456 is divided by 307?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 + -4 + 2 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1)*28\/(-84).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(833) + -3) - (1*-3*sqrt(833))**2) + 1.\nAnswer: -7505 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 not equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 469 + -260. Let l = 10742 - 10628. What is the least common multiple of l and i?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634551149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -1 - 2. Let a = m + 1. Suppose 313285 = a*x - 486715. Round x to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/45)\/(4\/70). Let p(c) = c**2 + 2*c - 19. Let h be p(j). Suppose 5*z - 202 = 2*s - 10, -h = -4*z - 3*s. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(3 - v - 3) - 4*v - 2*v + 3*v - v + 1 - 1 - 2*v - v + v + 32*v - 5 + 5.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 11*n + 1. Let o(v) = -598*v**2 - 7 - n - 15*v - 399*v**2. Let t be o(-16). What is t rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6526413665 - 0?\nAnswer: -6526413665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1181 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + g. Let x = 75 + -75. Let w be b(x). Solve -h + 2*h + 4 = w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10284287, 41137095, 92558441, 164548325?\nAnswer: 257106747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 355\/923*-741*20\/(-60)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*s - 5 = 0, -a + 4*s = 18 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 3*q - 2*y + 593, -5*q - 785 = 5*y. Which is smaller: -158 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.21997 - 0.3.\nAnswer: 8.91997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/7 + 3610*h**2\/7 + h\/7 - 3610\/7 = 0. What is h?\nAnswer: -1, 1, 3610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/640*176\/(-33))\/(36\/(-25)).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 11. Let p be z(6). Suppose 4*c + 24 = 3*i, -2*i + 5*c - p = -7*i. Solve -5*w + 11 = -i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 5) to base 13.\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let a(w) = -5*w + 60. Let b(x) = -2*a(x) - 6*y(x). Find the first derivative of b(c) wrt c.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -167623 and -25\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - a)*(4 + 1 - 3)*(18 + 3*a - 18).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-233)\/466)\/(-1*1*-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 27. Let y = -106\/3 + d. Let w = -10.1 - -10. Which is the biggest value? (a) y (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.428 + 8.128. Which is the closest to -2\/3? (a) -1\/3 (b) w (c) -1\/13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205555 (base 6) in base 5?\nAnswer: 1014342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -1310?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8*a = 2*t + 147, a - 62 = 5*t. Suppose -a*r + 10952 = -10*r. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 5, i: 1, o: 7, f: 3, a: 2}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1387*f**2*k**2*y - 4*f**2*k + 656*f*k**2*y - f*k**2 + 2*k**2*y - k wrt f?\nAnswer: -2774*k**2*y - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3 + 1)\/((-7)\/21). Let h be (6\/(-15) - p)*20. Solve h = 4*f - f, 4 = -4*x - 4*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 251 or -15?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332*g = 518*g + 1315*g - 9495 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 47*p**3 + p**2 - 2*p. Determine n(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 22, 25, 40, 73, 130, 217, 340?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -99947 in increasing order.\nAnswer: -99947, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 3.7. Let x = -2021 + 8011\/4. Let w = -503\/28 - x. What is the second smallest value in -1\/3, g, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67487*f*u**3*x - f*u + 1566*u**2*x + u*x wrt u?\nAnswer: 404922*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*1554\/(-444)*(-6)\/21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtc when three letters picked without replacement from ccctcctcttttdtt?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + c**2 - 1. Let m(z) = z**3 - z**2 + 1. Let n(o) = -o**3 - 5*o**2 + 5. Let u(a) = -4*m(a) + n(a). Calculate -4*f(h) - 3*u(h).\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 8}. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -28 in decreasing order.\nAnswer: 6, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -858\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 1355*b**2 - 240*b**2 + b**3 + 1165*b + 2.\nAnswer: -b**3 + 1115*b**2 + 1165*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from qxxxtqqqqtvqxttxtqt.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/17 (c) 9365611\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -17.5. Let p = 1.1 - z. What is the smallest value in p, -3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -936242337 rounded to the nearest one million?\nAnswer: -936000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 243*u**2 - 1054*u - 362. What is o(-117)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 1 + ((-2 + -2 + sqrt(891) - (-3*sqrt(891) + 2)) + -2)**2).\nAnswer: -1728*sqrt(11) + 42966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 13. Let r be m(3). Is r != -1\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 309, 434?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4))\/((22\/8)\/(-11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40775048 is divided by 5912?\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s - 1. Let q(z) = 4*z**3 - 5*z**2 + 4*z - 1. Let w(a) = q(a) + 3*v(a). Determine w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15*-5*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 105*a - 1503. What is s(23)?\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*6\/44.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 4 - 4)*(34 + 55 - 39)*(-3 + l + 3) + l**4 - l**4 + 4*l**4.\nAnswer: -46*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 3 + 1 + 3 + -5. Find z, given that 3*z**4 + 5*z**2 - 3*z - 8*z**2 + t*z + z**3 + 2*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*r = 6*r + 47, -8 = 2*r. Let z(c) = -3*c - 12. Calculate z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1 - (-6 + 1))*125. Let h be p\/35 + (-1)\/(-7). Suppose 43 = 5*a + h. Calculate the remainder when 12 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6271029734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q**2 + q + 1. Let b(c) = 9*c**2 - 9*c - 9. What is -b(f) - 9*m(f)?\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417176789.\nAnswer: 157, 863, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*2)\/sqrt(8))\/(2*sqrt(200) + sqrt(200) + sqrt(2) - sqrt(2)).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.372*-0.5.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*l + 112*l + 165 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v + 5*b + 20, -879*b + 884*b = v - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 10. Suppose -4*z = -c*z + 5. Solve z*d - 6 + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0217633 micrograms to nanograms.\nAnswer: 21.7633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.4 - 60. Let d = -77\/4 - -19. Which is the closest to d? (a) u (b) 3\/4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49852282, -49852288, -49852294, -49852300, -49852306?\n\"Answer: -6*q - 49852276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.9 times 0.02191?\nAnswer: -3.065209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271.3 + -283. Let x = y + 12. Let w = -3.2 + 3. Which is the nearest to w? (a) x (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -77. Let a = m - -66.1. Let q = a + -5. Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/36)\/5*309\/103.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1645 + 2*n + 1645. Let r(b) = -305*b. Calculate r(a(f)).\nAnswer: -610*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*((sqrt(17) - sqrt(119)\/sqrt(175)) + 3))**2.\nAnswer: 256*sqrt(17)\/5 + 5952\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.35 + -0.65. Which is the closest to 0? (a) g (b) 3\/4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/90 and -113\/960.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1116 + 1124. Let z(a) be the first derivative of -k*a + 0*a**2 + 7\/3*a**3 - 11. Differentiate z(c) with respect to c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 53*t**2 + 5. Let s(f) = -35*f**2 - 3. What is 5*i(j) + 8*s(j)?\nAnswer: -15*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 1:27 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.207 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 510288721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-54)*-4*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:05 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15757559149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 4*m**2 + m - 5. Suppose 4*y + v + 32 = -2*v, -3*v = 2*y + 22. Give z(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44711*j - 44711*j + 1 - 210*j**3 + (-10 - 20 + 7)*(0*j**3 + 4*j**3 - 2*j**3) to the form c + a*j**3 + n*j + h*j**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**33*k)\/(k**(-23)*k)*(k**(-5\/7)*k)**7)**18 assuming k is positive.\nAnswer: k**1044","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/8 in 1\/4, 0.2, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 0.12 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3407835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 10472?\nAnswer: -10472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/17 or 2?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Suppose -4*z = -3*f - 0*f + 22, -r*f - 2*z = -10. Solve -x + 11 = 3*m, -f*x + 4*m = -x + 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*q + 5*t, -6*q - 3*t = -2*q - 15. Suppose 2*a + 0*a + 10 = q. Which is greater: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 - -213 - 3\/((-6)\/16304) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o + 13*x - 10*x + 3, 0 = 3*o - 5*x - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*r**2 + 8*r + 0*r - 7*r - 2*r.\nAnswer: -155*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 3\/26, 17, -1 in descending order.\nAnswer: 107, 17, 3\/26, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3 - 3. Suppose u - y*u = 4*l - 118, 3*u - 157 = 4*l. Let f = 416 - 402. Calculate the remainder when u is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from jqjjvqjjjjjqjjqqqjq?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, l: 4, p: 5}. What is prob of picking 1 l and 2 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620336, -620544, -620752, -620960, -621168, -621376?\nAnswer: -621584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -21569?\nAnswer: 3\/21569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 4. Let h be (0 - 2\/(-1)) + z. Is (h\/(-6))\/(8\/(-636)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = -8*b - 30*b. Let v = b + -6. Calculate the remainder when 362 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14598256, -29196515, -43794774, -58393033?\n\"Answer: -14598259*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - q + 8*q - 2*q. Let w(l) = -12*l**2. Give w(t(u)).\nAnswer: -192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*f - 5*y + 1 = 0, 18 = 5*f - 2*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-3)\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1008 = q, 3*q - 25 - 479 = -f. Let y = -320 + f. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16855 + -30?\nAnswer: 16825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 18003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/42 + -2 - (-64 + (-64 + 36 - -91)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*m + 48*m + 570*m**3 - 95*m.\nAnswer: 570*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217432 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/12)\/((-220)\/(-297)). Let v = a + 21\/16. Let 0 + v*j**5 + 4*j**4 + 2\/5*j + 12\/5*j**2 + 24\/5*j**3 = 0. What is j?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 4*a**2 - a + 4. Let x be d(4). Factor 0 - 3\/5*k**2 + x*k.\nAnswer: -3*k**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 + 32 - 32 + (-3*k + 0 + 0)*(-k**2 + k**2 - 2*k**2) - k**3 - 1 + 1.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603185413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494524784?\nAnswer: 2, 13, 59, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1165652*b*r**2 + 1107975*r**2 wrt b.\nAnswer: 1165652*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13967159.79 - -2081.\nAnswer: 13969240.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7581 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6 + b**2 + 2*b - 7*b - b - 2*b**2. Let a be l(-4). Suppose a*n = n - 920. What is n rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*k = 406 + 557 - 91 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000589517 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j*k + 26*j + 545*k + 1 wrt j.\nAnswer: 3*k + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (-15 + 19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 537145764 a multiple of 1646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 2 = 0. Suppose 0 = 3*h + 4*f - 2*f - 13, n*h - 6 = -2*f. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Suppose -b = 3*w + 2 - 10, u = -2*w. Let o(k) = 9*k**2 - k + 2. Let v be o(-2). Calculate the highest common divisor of b and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9990*d**3*i*o*q + 2*d**3*o - 2*d**2*i**2*o + d*i*o*q - 1977*i**3*o - 2*i**3*q with respect to q.\nAnswer: 9990*d**3*i*o + d*i*o - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 339 + 15*t**3 - 10*t**3.\nAnswer: t**3 + 339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uexbececxecj. Give prob of picking 1 u, 1 x, 1 b, and 1 e.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77\/3 + -25. Let n = -1544.94 - -1545. Which is the nearest to 1\/12? (a) -2\/11 (b) n (c) i (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = -16. Let t(l) = l**2 - 4*l - 4. Let b be t(y). Suppose -2*h = 3*n - b, -3*n = -3*h - 15 - 3. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(1 + 6\/(-3)). Let m(x) = 0 + 7*x - x**2 + 3 - 10 + 2. Calculate m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - -9) - (-65 - (17 + -109))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + g**2 - g. Suppose -2 = 3*r + 5*u + 2, r + u = -2. Let j(q) = -2*q**3 + 3*q**2 - 5*q - 3. Determine r*l(v) + j(v).\nAnswer: v**3 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6496608 by 111.\nAnswer: 58528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from onvvnnwovnan.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305469, -305517, -305565, -305613, -305661?\nAnswer: -305709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/2 + ((-7)\/(-14) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:59 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*u + 417*u - 37*u + 139*u + 31836 = 0 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 42*x + 26. Calculate z(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592277?\nAnswer: 7, 211, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1847 - 910 + 0*x - 914 - x**3 + 0*x + 30*x**2. Let z be m(30). Solve z = 8*l + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1410 by -1.\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110010 - -122011110?\nAnswer: 122121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2, 6507, 6\/17, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -9*c - 149. Let x be (-4 - 1)*3*8\/c. Solve 5*m - 7 = x*i + 23, -m - i - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12352 and 6641.\nAnswer: 82029632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 408387 and 3.\nAnswer: 408390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128.9 + 127.9. What is the closest to s in 0.5, -247, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.5 - -4.4. What is the nearest to -1\/3 in 3, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -108700471, -108700480, -108700489, -108700498, -108700507?\n\"Answer: -9*f - 108700462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 758343 = 36*g + 103467. Let q = -9610 + g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 1068, 1598, 2126, 2652?\nAnswer: 3176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19042352 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 13. Let w be j(4). What is the hundreds digit of ((-2734)\/w)\/(33\/((-495)\/(-10)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 0 - 9 - 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 14. Suppose -6*l + r*l = 288. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18605677 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, -12, 5 in decreasing order.\nAnswer: 5, 4, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60914461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14782106.77 + 14782043.77000054. Let w = 63 + g. Round w to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*y = -1381*y - 15576 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/9, -128.75, 340 in increasing order.\nAnswer: -128.75, -2, 2\/9, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2505 - f**2 - 2505. Let h(g) = -g**2 - 2*g + 3. Determine h(l) + 2*m(l).\nAnswer: -3*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(833))**2*-3 - (sqrt(833) + (sqrt(833) + 1*sqrt(833))**2 + 5 + sqrt(833) + 0 + -5).\nAnswer: -25828 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 - 44 + 50 = -7*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 20*d + 37. Let b be c(4). What is the closest to -3\/5 in -1, -7, b, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 80 = 19*b. Let u = 9 - b. Let r = -1 - u. What is the least common multiple of 5 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.8 (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -17. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 14*m**2 - m + 18. Let q be i(14). Suppose 5*g + 3 = 13. Suppose 3*z - 4*z = -g. Solve -q = -2*u - z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 7*z**2 - 4. Let k = 34 + -27. Let u be b(k). List the prime factors of (-728)\/(-21)*(-6)\/u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2833.563 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 - 4)*(8 - 8 - j)*(-25*j + 1953 - 1953).\nAnswer: 175*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**9\/12 - f**8\/48 - f**7\/105 + 101*f**5\/4 - 17*f**2 + 89*f + 2. What is the third derivative of a(i) wrt i?\nAnswer: -5040*i**3 - 420*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-14)*20)\/(6\/21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6972, -28255, -63734, -113415, -177304?\n\"Answer: -q**3 - 7092*q**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i + 7. Let d(c) = -73*c - 15. Let j(m) = 10*m. Let z(b) = -d(b) - 6*j(b). Determine -9*g(a) + 4*z(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -0.06, 0, -2, 3\/259, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2334808 and 94472?\nAnswer: 16343656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1579*o - 22419688 = 1575*o. Let r = 29044922 - o. What is r rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*c = 156*c - 5*w + 10, -4*c + 2*w - 32 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-273)\/(-14))\/3 - (-2)\/4. Suppose 4*a - t*d = -2*d + 66, d + 72 = 5*a. Factor 0*b**2 + b**2 - a*b**3 + 7*b**3 + 6*b**3.\nAnswer: -b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/5 + 563263*s\/5 - 563264\/5 = 0.\nAnswer: -563264, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 126 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/399 in -3, 0.177, -141?\nAnswer: 0.177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 2. Suppose -3*h + 3*k = -24, 2*k + 13 = h - 0*k. Let w = g - h. Solve 4*a - w = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -798?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*p = 34, 2*i - p + 859 - 829 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose 2 + 4 = -l*g. What is the units digit of 3\/g*(-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 15*h**2 - 16*h - 20. Give l(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -2*n**3\/21 + 2*n\/7 + 141. Factor r(y).\nAnswer: -2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 377386 + -0.6626\nAnswer: 377385.3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 264 = 2*i, -4*i - 4*j + 219 + 285 = 0. Let h = i + -9. What is the highest common factor of h and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaccjjcocjjjocojcj. What is prob of sequence joc?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 272080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = -212. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.02 + 34.52. Which is the closest to -12\/13? (a) -3 (b) 3 (c) x (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 33, 38, 25, -12, -79, -182?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhrhawwphwkpww. Give prob of sequence whww.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -17. Let j = p + 7. Let y(k) = k - 2. Let q be y(j). Put q, 5, -0.3 in increasing order.\nAnswer: q, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047273811 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02148888 + -13?\nAnswer: -12.97851112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 21. Let f(x) = 10*x - 3. Let l(t) = 5*t - 1. Let w(o) = b*f(o) - 5*l(o). Calculate w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2024, -1, -175, 0.\nAnswer: -175, -1, 0, 2024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - 1.42. Let i = -2.48 - o. Let l = 3\/8 - -7\/24. What is the closest to i in l, 2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -17\/4, 5\/2 in descending order.\nAnswer: 186, 5\/2, -17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 - -4. Let x = -1.5 - -1.7. What is the second smallest value in x, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 906749*t*v**4 - t*v - 149*t + 2*v**4 - 761*v**2 wrt v?\nAnswer: 21761976*t*v + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.3. Let r be (-1 - 1*12\/(-8))\/(-1). What is the closest to u in 2, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13854 and 858?\nAnswer: 1981122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 12*r**2 - 3*r - 1. Is u(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -4. Let c be 4\/d - (-1756)\/(-16). Let l = c + 191. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3\/11 - 56*j**2 - 5024*j\/11 - 10112\/11 = 0.\nAnswer: -4, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 2. Let r(h) = 2*h - 4. Let o(b) = 6*r(b) - 11*x(b). Let l(c) = c**2 - 3 + 7*c - 8*c - 4 - 3. Let t be l(-3). Calculate o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uztt when four letters picked without replacement from jtuuthz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*o - 67*o**2 - 16*o**2 + 69*o**5 + 36*o wrt o?\nAnswer: 4140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 29078*g + 174477. Calculate b(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 13124340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1960*g - 380245. Give p(-194).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10523001, -21046001, -31569001, -42092001, -52615001?\n\"Answer: -10523000*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3688 is divided by 334.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2650*(7\/(-28) + (-2)\/(0 - -8)). Calculate the highest common factor of 75 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d - 32*d - 478*d**2 + 4*d.\nAnswer: -478*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 4*d + 1. Let z be v(4). Suppose 4*k - 16 = -a + 5*k, -k = z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.6954 milliseconds to nanoseconds.\nAnswer: 14695400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - i - 2. Let r be s(2). Which is the closest to -1\/2? (a) 0.4 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 36\/16 - (47\/(-44) - 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8100 = -24*z. Calculate the greatest common divisor of 40 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 96, 36 in increasing order.\nAnswer: 2, 36, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 439 = 8*d - 5*f, -2*d + 3*f + 399 = 0. Calculate the lowest common multiple of d and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 3*r**3 - 3*r**3)*(11 - 11 - 12 + (3 - 3 + 1)*(4 + 3 - 5)).\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 5*b - 4. Let c be k(-4). Let f = c + 2. Let x = f - -8. Solve -x*m + 12 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 71402 = 19976. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 2. Let o = 12.2 - w. Let s = o - -6.09. Round s to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + -8 - -2 - -9) + -2 + 73?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d - 4*s - 2 = 0, 4*s = 4*d - 4. Let w be d*(-5 - 1)\/(1 + -5). Let p(u) = 7*u - 4. What is p(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1510*m**3 + 4*m**2 + 16*m + 30. Let z be y(-9). What is z rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/4 - 422695*w**2 - 178671063025*w = 0.\nAnswer: -845390, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 1375546399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2\/2 - 2*i + 174. Calculate z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 18840*m\/11 + 18838\/11.\nAnswer: 2*(m + 1)*(m + 9419)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, z: 1, m: 3, a: 6}. Give prob of sequence ama.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q + 774. Let y be c(49). Suppose 0 = -3*d + 3, -d = -2*b - 50 - 51. Let o = y + b. Round o to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 + 24*z**4 - 36*z**3 - 56*z**2.\nAnswer: 4*z**2*(z - 2)*(z + 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -910 - -532. Let k = -187 - o. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19070, 37431, 55792, 74153, 92514, 110875?\nAnswer: 129236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.9, -0.02, 11, 5, -2\/55?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 91 = 5*z, 4*z + 58 + 58 = -5*s. Let p = s + 32. Let d be p + (5 + -3)*-2. Solve 0 + d = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*y + 19, 26*z - 20 = 30*z. Let b(h) = 4*h**2 - h + 1. What is b(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3, 6*n - 2*n + 99 = -3*f. Let z = -20 - n. What is the greatest common divisor of z and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2178*v**4 - 18260*v**3 + 36166*v**2 - 18640*v + 2912 = 0.\nAnswer: -91\/9, 4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**6\/120 + r**5\/30 - r**4\/12 - r**3\/2 + 2*r**2. Let q be h(-2). Calculate the greatest common divisor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101202131213 + -2?\nAnswer: 101202131211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/(-52)*34\/119. Solve 4 - 9\/2*g + j*g**2 = 0 for g.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 9 = -n - 3*b, 0 = b. Let r(q) be the second derivative of -2*q**2 + 0 - 5\/6*q**4 - 7*q + 0*q**n. Find the first derivative of r(v) wrt v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 9345?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10434432 is divided by 434767?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73872183, 73872182, 73872181, 73872180, 73872179?\n\"Answer: -h + 73872184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/883 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*u - 7 - 10, 2*u + 1 = m. Calculate the remainder when 1\/m - (-2055)\/25 is divided by 2\/7 - (-145)\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180450 (base 11) to base 3.\nAnswer: 112011022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4))\/((-1)\/(-42)). Let q = 15295 - 15349. Let f = u - q. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -158*m - 16449. What is u(-105)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147 - -152. Suppose -4*j = -g*t - 0*j + 30, 0 = -3*t - j + 35. Calculate the greatest common factor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/3)\/((-4)\/6). Let o = d - 3. Solve 3*u + o = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 2:43 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*x - 225*x + 445*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5595, 5596, 5597, 5598, 5599, 5600?\n\"Answer: v + 5594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 5, l: 3, s: 1, e: 1, q: 3}. Give prob of sequence yn.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1 - 3*g + 2*g + 2*g. Let b(c) = 7*c + 8. Give b(x) - 6*z(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/688 and -67\/16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1355337149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -440*u**2 - 40*u**3 + 115*u**3 - 197*u**2 - 40*u**4 - 41*u**3 - 38*u**3 wrt u?\nAnswer: -960*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 112 = 3*t + t, 3*t - 66 = -2*g. Suppose -2*v - v = -g. What is the least common multiple of 12 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Suppose -3*q = 3*l - 21, 2*l = q + 4*l - 12. Suppose -q*j = 4*j - 114. Let y(m) = 19 - j - m. Determine d(y(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4766*k**2 - 2 + 2 - 1179*k**2 + 2777*k**2 in the form z*k + t*k**2 + d and give t.\nAnswer: 6364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066 bigger than 4064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, 4\/7, -1.3, -2879, 1\/3, 5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.481 + 0.47967. What is p rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 6*g - 5. Let s(o) = 4*o**3 + 6*o + 6. Let r(m) = -m**3 - 33*m**2 + 33*m - 28. Let z be r(-34). What is z*p(u) + 5*s(u)?\nAnswer: 2*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + v)*(-v + 3*v + 0*v)*(-4 - 1 + 4 + v**2) - 5984 + 5984 - 5727*v**4 in the form o + d*v + s*v**2 + l*v**4 + i*v**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 0*u + 6*u + 9008 + 460 + 4*u.\nAnswer: 12*u + 9468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*p + 12. Let q(g) = 4*g**2 + 2*g + 1. Let n be q(-1). What is the lowest common multiple of p and n\/1*(40\/(-6))\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7685 and 88775.\nAnswer: 2574475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {d: 2, l: 1, f: 1, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {z: 1, v: 10, k: 7}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/267721537?\nAnswer: -2\/267721537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnyonolpnpnnoyy. Give prob of picking 3 o.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k + 180. Let s be 1620\/35 + (-4)\/14. Let h = s - 27. Calculate the remainder when k is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234 + -268. Calculate the common denominator of -85\/8 and (-4)\/l + (248859\/52632 - 5).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -911*w**7\/210 - w**6\/120 - 133*w**5\/15 + w**4\/8 + 170*w**2 + 4*w. What is the third derivative of n(m) wrt m?\nAnswer: -21864*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:19 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -499910 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -124*m + 1046. List the prime factors of a(-10).\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-205)\/82*(-3)\/((-15)\/(-2)). Let s be u*(-3 + -2)*(-5)\/5. Solve s*c + 14 + 14 = 2*f, -2*c = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 6*q - 116. What is the highest common divisor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 9455.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1006 = h - q, 3*h + q = 2049 + 993. What is the highest common divisor of 110 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7728*b + 7744*b + 149 = -315 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90222 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(12)\/(sqrt(4) - 2*sqrt(144)) + -4 + sqrt(3) + (sqrt(3) - 2*sqrt(75)))**2*-6)*-6.\nAnswer: 25632*sqrt(3)\/11 + 923712\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - 108. Suppose 4072 + 538 = 5*q + 4*u, -d = -5*u. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -333 - -347. Which is the biggest value? (a) 2\/5 (b) 1\/5 (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*m = 4, -2*m + 1 = -3*b + 25. Suppose 0 = -5*o + b + 25. Let k be -3 - (-110 - (3 + 2)). Calculate the greatest common factor of k and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 0 - -33) + -23?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tst when three letters picked without replacement from sstsssssssstssssssss?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21722, -43471, -65248, -87053?\nAnswer: -108886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/175)\/(14\/60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14608 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 8. Let n(o) = -10*o**3 - 2*o**2 + 3*o. Let m be n(b). Let w = m + 195. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 2, -10, 5\/2 in decreasing order.\nAnswer: 5\/2, 2, 0.08, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8\/(-3) + 2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*y - 16*y - 154. Suppose 0 = 3*h - 8 - 13. Suppose y*w = h*w + 21. Put 2, 5, -2, w in decreasing order.\nAnswer: 5, w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 834*l + 640*l - 777*l.\nAnswer: 697*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90264 divided by -5.\nAnswer: -90264\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 84903*l + 4924380. Determine s(-58).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/66 - (-53)\/(-11). Let v(l) = -l + 1. Let a(c) = 4*c - 2. Let f(p) = -a(p) - v(p). Calculate f(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q + 5*c - 3, c = 3*q - 11. Suppose -b - 2*x = -9, 0 = -q*b - 5*x + 30. Let l(d) = 5*d - 5*d + b*d - 2*d. Let y(v) = -17*v. What is y(l(o))?\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 40*b**2 - 46*b + 40. Determine r(21).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, i: 5, y: 1, s: 5, b: 1}. What is prob of sequence skks?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376066 is divided by 785?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176132 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) 2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 + 370*h**2 - 6225*h - 22140 = 0. What is h?\nAnswer: -3, 36, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-4)*-20*1. Let x = r - 17. Let l be (3\/6)\/(2\/6). Which is the second biggest value? (a) x (b) l (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 times 14?\nAnswer: -18648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000469513668 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150135.\nAnswer: 3, 5, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/4 + l**3 + l**2\/2 - 3*l - 1. Suppose -29*x = 15*x - 132. Suppose x*w + 54 = 21*w. Determine t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by -6\nAnswer: -233\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 8, 3, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167172 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/807 and 53\/497.\nAnswer: 401079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006865894 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -7600001*f**4\/4 + f**2\/2 - 5. Let y = 1 + 0. Let c be s(y). Round c to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*o**2*y - 2*o**2 - 3*o - 4*y - 85 wrt o?\nAnswer: -58*o*y - 4*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*i - 2, 0 = 4*i - 1749*u + 1754*u - 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/2 - 793*a\/2 - 396 = 0.\nAnswer: -792, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 30*o = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -6.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:20 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2. Let u be 16\/104 + (-3651)\/1170 - -3. Let b(i) be the third derivative of 3*i**2 + 0 + 0*i**4 + 0*i**3 + u*i**5 + 0*i. Determine b(w(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -114, -109, -104, -99?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 465 or 466?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) 1\/6 (c) -2 (d) -1 (e) 817 (f) 1\/3 (g) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in -23, 3\/8, 1, 14\/3, 21?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119 a factor of 1476916245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4523, -9048, -13573, -18098, -22623?\nAnswer: -27148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-2) + 0)\/(39\/13). Let c be 0*(g\/(-5))\/(26\/65). Solve c*m = m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -21, -1, 82 in decreasing order.\nAnswer: 82, 11, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 6:51 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:03 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -544*n + 7 + 544*n + 3*n**2 as b*n + s + o*n**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*a + 514*a - 1505*a + 515*a.\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2224.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 27. Let w be i(11). Which is the fourth smallest value? (a) -2 (b) w (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 313213?\nAnswer: 313223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 7.1. Let t = v - -6.5. Sort 0.1, 4, t.\nAnswer: 0.1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.1 - 8.1122. Round g to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457438895?\nAnswer: 5, 29, 1409, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5498050*h**2 + 12373381*h.\nAnswer: -10996100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + a - 26 = 0, -12*r = -6*r - r + 28*a - 570 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 4*d)*(2 - 2 - d) - 3*d**2 + 3*d**2 - 3*d**2 + (-3*d + 0 + 0)*(4*d - 2*d - d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 29*s - 8294 + 7694 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1. Let x(b) = -11*b**3 - 154 + 383 - 225. Determine 4*s(q) + x(q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -550 + 554. Suppose -5*v = -8 - 57. Suppose -h + v = -0*h. Calculate the remainder when h is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 15 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18600 = u + 664, -5*c + 22407 = -2*u. What are the prime factors of c?\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let x be ((-14)\/(-4) + -2)*-2. List the prime factors of x*1*(u - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 i when four letters picked without replacement from {x: 2, i: 3, o: 5, f: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqfqqqqqqq?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7023258.\nAnswer: 2, 3, 11, 79, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*f - 3*f + 28 = 0, -5*j = -4*f - 49. Let z(s) = 5 + j + s - 9. Suppose -3*x = 4*d + 21, 0*d = 5*d + 2*x + 35. Give z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 - 3*y - 4. Let o(z) = z**3 + 4*z**2 + 5. Let f be o(-4). Let g = -63 + 84. What is the remainder when x(f) is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 - (-6 + (10 - 2 - 3)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51678 by 1.\nAnswer: 51678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1010 - -1?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 181679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 4, 3*l + 3*s + 45 = 0. Let x = 257 + -111. Let q = l + x. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 209*n\/5 - 208\/5.\nAnswer: -(n - 208)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 5:02 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94387 = 40*f - 97133. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 853*k - 7674. Give u(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/4 - 194\/(-4) is divided by (225\/30)\/((-14)\/(-8) - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 5836482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 685832376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**2 + 15*f**2 + 4 - 6 + 3*f. Let l be s(1). Solve 0 = -l*j - 0*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (2 + -1) - 4. Let o be (-93)\/6 + (-2)\/4. Let g = c - o. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-12))\/((-45)\/(-1440)) - -4. Which is the nearest to 3? (a) -5 (b) 1\/12 (c) j (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104424 (base 5) to base 2.\nAnswer: 111010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70\/17 in -5, -1, -16, 6.57?\nAnswer: 6.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 bigger than -9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*8\/12. Let o = 1\/3 + n. Which is the nearest to 2\/3? (a) -2\/5 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 - 32805 - 193*m - 540*m - 8*m**2 - 77*m = 0.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cucxyoyxuuuuyuuyx. What is prob of picking 2 x and 2 u?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 5:50 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/42*9*3500\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 381*y**3 + 4*y**2 + 4*y + 492. Let d(v) = -762*v**3 - 9*v**2 - 9*v - 985. Let w(n) = 9*c(n) + 4*d(n). Differentiate w(i) with respect to i.\nAnswer: 1143*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8813324 is divided by 5127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -32. Suppose 0 = s + f*s - 24. Sort -2, -1, s in decreasing order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2052546578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 11 + r + 0*r**2 + 6*r**4 - 5*r**4 + 3*r**2 + 0*r**2 - 4*r**2 to g*r + n + j*r**4 + p*r**2 + l*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Suppose -3*t = -3*u - 5 - 10, -3*t = -5*u - 19. Which is the closest to t? (a) -3\/7 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w + 1. Let x be d(1). Let m(v) = v**3 - 5*v**2 - 7*v + 8. Let u be m(x). Find the second derivative of 5*l**2 - 21*l**u + 8*l**2 - 4*l wrt l.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:49 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 27. Suppose 5*k = z + 32 - 10, 0 = -5*k + q. Suppose z*d + 2*m + 3*m + 25 = 0, d + m + 5 = 0. Solve -5*p - t + 29 = 0, d = -3*p - t - 3 + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r - 45*r + 320 = 0. Solve 12 = -3*h - 5*a - 18, 5*h + 5*a = -r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212527\/30 + 7085. Calculate the common denominator of 107\/2184 and x.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3958.5 + 0.1\nAnswer: 3958.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957722 is divided by 159619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1775, 1678, 1581, 1484, 1387, 1290?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(225\/(-3)))\/(6\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -105*o**4\/8 + 13*o**3\/6 + 23*o**2. Let g be u(-1). What is the greatest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26631677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112510725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3))\/(w*w**(26\/7))*(w\/(w\/(w*w**(2\/11)*w)))\/(w\/(w\/((w**(5\/12)\/w*w)\/w))))**(1\/31) assuming w is positive.\nAnswer: w**(1895\/28644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 2:39 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -144845 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90703204 by 4.\nAnswer: 22675801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*p - 93*p - 3*y - 22962 = 0, 4*y + 24 = 0. What are the prime factors of p?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:16 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 12. Let a = -12 - o. Let j = 0.5 + a. Is j less than or equal to 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1574355006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4792*r - 4792*r - 103*r**4 + (1 + 4 - 3)*(3*r**4 + r**4 - r**4).\nAnswer: -97*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12\/7))**(16\/5)*(n**24)**(-24) assuming n is positive.\nAnswer: n**(-20352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 3:43 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-10098069\nAnswer: 5049034.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -2*(-6)\/12. Which is smaller: q or 1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13672495, -13672534, -13672599, -13672690?\n\"Answer: -13*o**2 - 13672482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kozdzwz. What is prob of sequence dozw?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*d**5 - 84*d**4 + 356*d**3 - 116*d**2 - 20*d + 8 = 0. Calculate d.\nAnswer: -2, -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1101, -2\/9, -2, 2, 0.13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 1 g when three letters picked without replacement from {f: 1, q: 1, g: 1, d: 3, j: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 140 - 70 - z**3 - 67. Calculate b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 39. Let b(m) = 170*m**3 + m**2 - 2*m - 3. Let a be b(x). What is a rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -93.6. Let c = 121.4 - d. Let o = c - 144.999933. Round o to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-14))\/(9\/102). Solve -4*w - 4*q = -3*q - 9, 3*q = -2*w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7980673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 + 2*p + 1. Let w be i(-1). Let u(l) = 2*l**2 - 2*l + 3. Let n be u(3). Suppose n - 39 = -w*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.7 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(99)))**2 + 2 - 6*-5*(-1 + sqrt(1584))**2.\nAnswer: -672*sqrt(11) + 47964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.874255 to three decimal places.\nAnswer: -0.874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4\/15*(913\/77 - 4)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19677423 - -0.2\nAnswer: -19677422.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660 and 10200?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -130 + 5*y - 4*y - 121 + 244. Let r = -10 + 24. Let n be 24\/r*21\/6. Calculate h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeo when three letters picked without replacement from oeo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/(3\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 659 + -464. What is the greatest common divisor of p and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15*c**2 - 15*c - 202. Suppose 27*l - 9*l + 72 = 0. Let t(i) = -7*i**2 - 7*i - 101. Let r(x) = l*k(x) + 9*t(x). Differentiate r(m) with respect to m.\nAnswer: -6*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(45*d - 5 + 5)*(-1 + 3 + 1).\nAnswer: -135*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 15) to base 8\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 131204*k. Let w(s) = -3*s. Give p(w(g)).\nAnswer: -393612*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/76963 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.6 (b) -0.084 (c) 6 (d) 20 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 5)*33\/(-2). Let d = 63 - f. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9812?\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10651 + -24711?\nAnswer: -14050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3 (b) 2 (c) -0.17 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -551, -553, -555, -557?\n\"Answer: -2*y - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 10*z**2 + 2*z + 15. Let c be k(8). Let d = 98 + c. Is d at least as big as 2\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 23*p**2 - 96*p - 88. Suppose 240 = -h + 5*h. What is the least common multiple of h and o(-18)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6 + (-1 - 3\/(-9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80280 divided by -5352.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1\/3 (c) 67 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96752 + 95670.06. Let g = o + 1082. Let r = 5 + -5.3. Which is the smallest value? (a) g (b) r (c) 2\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.277, 4.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 21*t - 48 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/12 - 26*v**3\/3 + 23*v**2. Let c be u(26). What is the units digit of (-2 + (3 - c))\/(5\/835)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (-166 - -158)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 6) in base 14?\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4*f**2 + 1 + 0)*(16*f**2 - 29*f**2 + 14*f**2 - 18*f) to x*f**3 + d*f**4 + s*f**2 + m*f + n and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2068*r + 2050*r - 252 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*j**5 + 4*j**4 + 24*j**3 + 21821*j**2.\nAnswer: 2220*j**2 + 96*j + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -863077.14 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i - 7 = -7. Let u(o) be the third derivative of -3*o**2 + 0 - 1\/200*o**6 + 1\/50*o**5 + 0*o + i*o**3 - 1\/40*o**4. Factor u(y).\nAnswer: -3*y*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -151, -5, 3, 5.\nAnswer: -151, -11, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 44.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x + x)*(146*x - 56*x - 25*x) - 4*x**2 + x**2 + 6*x**2 - 1 + 1 - x**2 + (3 + x - 3)*(-2*x - 1 + 1) to the form p*x + g + j*x**2 and give j.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.3 (b) 604 (c) -3 (d) -7 (e) -2\/7 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b4 + -bf?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*r = -0*r + 1616, -n + 541 = -r. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a**2 + 105*a**2 - 12*a - 199*a**2.\nAnswer: 10*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*m**2 + 715*m - 26413?\nAnswer: 14*m + 715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -38, 9.9, -18, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42966.6 times -2\nAnswer: 85933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w + 6. Let q(h) = 13*h - 7. Let y(z) = 4*m(z) + 5*q(z). Let t(d) = 4*d - 5. Let k(o) = -5*t(o) + 2*y(o). Determine k(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 5000.11.\nAnswer: -2500.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3071 and 2368.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 9*w**2 + 9*w - 3. Let u be h(8). Suppose f + 581 = k, -4*k - u*f + 2324 = -6*f. List the prime factors of k.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**2 - 141390*a + 8042985 = 0.\nAnswer: 57, 28221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**(-13\/2)*f\/(f\/(f*f**(-2\/5)))*f**(-4)*f)\/((f*(f*f**(-1\/4)\/f*f)\/f)\/(f\/f**5)*(f*f\/f**(1\/4)*f)**(-6)) assuming f is positive.\nAnswer: f**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2018026857 rounded to the nearest 1000000?\nAnswer: -2018000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 41*x + 272. Let n be u(-8). Let w = 101 + n. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -14*q**5\/9 - 62*q**4\/3 - 850*q**3\/9 - 1558*q**2\/9 - 120*q - 200\/9 = 0.\nAnswer: -5, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a6 - -31?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*r + 196 - 612, -2*d = -3*r + 249. Let h = d - -134. Solve 0 = -0*k - k - h*u, 0 = 2*k + 5*u + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {h: 3, q: 4, l: 7, w: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3800805787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 - 2*g + 60. Let c(o) = 3*o**2 + 2*o - 59. What is -4*c(z) - 3*j(z)?\nAnswer: -3*z**3 - 2*z + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c = -10. Let n be (c - -1)\/(4 + -5). Suppose q = -5*h - 4*q - 10, n*q = -20. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3973 - 4077 + 2*s**3 - 3998 + 16037 - 3989.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(600)*2)\/(3*sqrt(12)*-2))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 3*c**4\/8 - 2*c**2. Let d(s) = 3*s + 17. Let g be d(-5). Let x(f) = -19 + 12 + 7 - g*f - 4*f. Determine 5*o(j) + 7*x(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-35)\/15)\/7. Let d(f) be the third derivative of 0*f**3 - 1\/210*f**7 + 0*f + f**2 + 0 + 0*f**4 + h*f**6 + 1\/60*f**5. Find w, given that d(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05826439 to four decimal places.\nAnswer: 0.0583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (1*sqrt(891))**2 - sqrt(891)).\nAnswer: -1784 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9202 - 18409 - 11*j + 9207. Let s(k) = 7*k**2 - 18*k. Determine g(s(d)).\nAnswer: -77*d**2 + 198*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9873482.05 rounded to the nearest 100?\nAnswer: 9873500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135390097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 1. Let s be d(-2). Suppose r + r - 4*g + 10 = 0, -5*r + s = 5*g. Let v = -2 - r. Which is the nearest to -0.2? (a) -0.4 (b) v (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*2\/(-4)*102\/(-5) is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**22\/s**(-12\/7) assuming s is positive.\nAnswer: s**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -1b95?\nAnswer: -1b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, -3, -16?\n\"Answer: -13*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -12.5143?\nAnswer: 13.0143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 16) to base 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29265, -29275, -29285?\nAnswer: -29295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28c4 + -8?\nAnswer: -28cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*j**3 + 1443 - 924 - j**4 - 2*j - 2*j**3 + 2*j wrt j?\nAnswer: -4*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2. Let p(l) be the second derivative of -1\/6*l**3 + 2*l - 3\/2*l**2 + 4. Let w(g) = 3*g + 2. Let i(x) = -2*p(x) - 3*w(x). Give h(i(u)).\nAnswer: -294*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - 1) + 3 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 117400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.48 - 19. Let x = 0.0629341 - -0.41706609. Let t = x - v. Round t to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - ((-238)\/5 + 0). Suppose 69 = 51*k - r*k. Find the second derivative of -k*a + 7 - 33*a + 11*a**5 + 55*a wrt a.\nAnswer: 220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488899465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 61*d**2 - 124*d + 90. Let k be j(-63). Put k, -3, 4, -5 in ascending order.\nAnswer: k, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, t: 9}. Give prob of picking 4 t.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 5. Let n be y(3). Let g be (-5 - n)\/((-1)\/54). Calculate the highest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 - 4*h + 8. Give y(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 480\/(-64)*(-2)\/3. Solve -w*z = -z + 2*g - 24, -z = 5*g - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71.6 and -5.076?\nAnswer: 66.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 2030.92.\nAnswer: -2030.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (1*-2)\/(-2). Find the first derivative of 0*z**4 + a*z**4 - 2*z**4 + 3 - 2*z**4 wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000280906 rounded to 6 decimal places?\nAnswer: -0.000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 853232 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 210103 (base 4) to base 2\nAnswer: 100100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 14 + 1)*(-k**3 + k**3 + k**3) + (k - 3*k**2 - k)*(3*k + 2*k - 4*k) to x + d*k**2 + w*k**3 + v*k and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3031799 + 3031808. Let h(b) = -41*b. Let w be h(-5). Suppose o = -4*s + 3*o + 206, -4*s = -o - w. What is the remainder when s is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1183 by -1183.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1445*f - 7335. What is k(-6)?\nAnswer: 1335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -1)*(-4 + 1\/2). Let g be -4*b\/(-35)*5. Solve 2*f + g*l = -3*f + 36, 0 = 5*f + l - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36677843 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-7)\/((-42)\/(-4)). Let q = 22 + i. What is the highest common divisor of q and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 4*t. Let m be 1\/(-1) + (7 - 3). Let d be u(m). Let r = d - -40. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129998692523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49826190 to the nearest integer?\nAnswer: 7059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -38*o - 267 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 31. Let x(s) = s**3 - 14*s**2 + 13*s + 6. Let u be x(13). Calculate the least common multiple of 6 and f(u).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/3 - -6 - (-19)\/(247\/(-52))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, -24\/13, -2, 5, 7 in ascending order.\nAnswer: -4, -2, -24\/13, -3\/2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*c**4*z**2 - 9*c**4*z + c**2*z**2 - 7*c**2*z wrt c?\nAnswer: 792*c*z**2 - 216*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5051248.\nAnswer: 2, 315703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10704 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -l + 71. Suppose l*t = 17*t - 15972. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**3*y**4 - 6*s**3*y + s**2*y**4 - 42*s**2*y**2 - 77*y**3 - 1 wrt y?\nAnswer: -48*s**3*y + 24*s**2*y - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -4 + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 3*g**7\/56 - 503*g**6\/480 + 89*g**5\/40 - 3*g**4\/8 - 5*g**3\/3 + 21*g**2 - g + 17. Solve x(l) = 0.\nAnswer: -2\/9, 2\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Which is the third smallest value? (a) 5 (b) l (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15624, -31430, -47234, -63036, -78836, -94634?\n\"Answer: n**2 - 15809*n + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -520164.679 times 0.3\nAnswer: -156049.4037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423124 (base 6) to base 4.\nAnswer: -20121130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z**2 - 28*z - 286. Is x(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 1\/9, 2.4762, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 0, -1, -69\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.46, -1\/3, 10\/3, 0.5, 12129?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*k**3 + 221*k**3 - 55*k**3 - 53*k**3 - 58*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(130)*1 + sqrt(130))\/sqrt(10) - (sqrt(117) + 1 + -3) - 1*(sqrt(52) + -2 - sqrt(143)\/(sqrt(33)\/sqrt(3)))**2.\nAnswer: -15 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 328836616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.99 + 0.01. Put -0.09, -2\/15, s in descending order.\nAnswer: s, -0.09, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 3*s + 3*s + (0 + 7 - 2)*(2*s - s + s) + (2*s + 1 - 1)*(-1 + 1 - 2) - s + 0*s + 8*s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*h - 5*a - 2, -3*h = -5*a + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)*-16141 - (0 - 1). Is 1\/(-2 - u\/8068) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231 + 282. Differentiate 88*c - 45*c + 103 - j*c wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -7*h. Sort h, -4, 12, -2\/5 in descending order.\nAnswer: 12, h, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/20 + 3*v**4\/4 - 19*v**3\/6 + 16*v**2 + 6*v + 1. Let h be o(-11). Let a be 2\/(-10) + 6\/(-70). Is a <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stvyqvs. Give prob of sequence tss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1081792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 20*x**2 - 28*x + 186. Let y be j(-26). Calculate the highest common factor of y and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 33096*m**2 - 136851936*m + 547937408.\nAnswer: -2*(m - 4)*(m + 8276)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5 - 1429*f**2 - 955*f**4 - 5*f**5 + 57*f**3 + 21*f**3 - 78*f**3 wrt f?\nAnswer: -120*f**2 - 22920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5148 by 2.\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5053.\nAnswer: 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -2*i, -2*s + 3*i = -3 - 6. Let w be (-1)\/(s - (-4)\/(-8)). Solve -10 = v + w*a, 16 = -v - 4*a - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 4, s = 2*d + 4. Suppose j = 3*j - s. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13665*f + 12. Let x(a) = 8199*a - 7. Calculate -10*i(p) - 17*x(p).\nAnswer: -2733*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 11550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 198. Let n = 79 - l. Solve n*x - 1 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9)*3 + 11 - 2. Suppose -6*m = -l*m + 4. Is (m - 3) + 117 + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/54 and 55\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 24*w**2 + 9*w - 82. Calculate f(-24).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 2 + 0*f + 3*f**2 - 4*f - 3*f**3 to o*f + j*f**2 + d + l*f**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s - 123*s = -56*s + 304 - 38 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggppp. What is prob of sequence gg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 12\/913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 2*s - 3. Suppose 0 = 5*j - 3 + 8, -j + 5 = 3*f. Suppose c - 9 = -2*i, f*c - c - 3*i - 4 = 0. What are the prime factors of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*f - 127*f = -59*f - 483 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h - 3. Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let w(g) = -61044*g. Determine w(d(h)).\nAnswer: -61044*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - (2*(sqrt(126) - (sqrt(126)*1 - sqrt(126))) + sqrt(126)))\/(-5*sqrt(3)*2))\/(sqrt(18)\/sqrt(12) + sqrt(6) - (sqrt(96)*-4 + sqrt(6)))*-5)**2.\nAnswer: 28\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78977.2km to meters.\nAnswer: 78977200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3102 by 1.\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 3 (c) 0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let s(u) = -17*u + 23. Let b(j) = 15*j - 22. Let r(c) = 6*b(c) + 5*s(c). Let h(v) = 3*k(v) + r(v). Calculate h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -97. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + 11. Suppose -3 = 5*r - w. 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 -12868*o + 12888*o = 0. Solve o = 146*i - 132*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4953 by 31224.\nAnswer: -1651\/10408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*b - 14 = -5*o + 275*b, 5*b + 17 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 141. Suppose 0 = 2*r - x + i, -3*r = x + x + 131. What are the prime factors of (0 - r\/(-3))*(-5)\/1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9145 - -26954. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*w - 122*w + 63 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*r - 4433554 = 140670. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 97 - 42 - 54 - 271*i**3 to the form v*i**3 + f*i + t*i**4 + p*i**2 + g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -75*q**2 + 1365\/2*q + 5\/2*q**3 - 1690.\nAnswer: 5*(q - 13)**2*(q - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -455\/2 - -230. Let f(r) be the first derivative of -d*r**2 + 0*r + 2. Let w(j) = -j**2. Determine f(w(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 228 = -72. What is the remainder when (-1 - b)*(-4 - 39\/(-12)) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = 6. Let a = -4.95 + -0.05. Sort a, q, 0.\nAnswer: a, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5)*q*q*q**2)\/(((q\/(q*(q\/q**3)\/q))\/q)\/(q\/q**2*q)) assuming q is positive.\nAnswer: q**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463272?\nAnswer: 2, 317, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3233 (base 8) in base 16?\nAnswer: -69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 5 (c) 0.1 (d) -950\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -128*d**2*h**2*j - 88*d*h**2*j**3 + 57*h**2*j**3 - 1258*h**2*j**2 - 1 wrt d?\nAnswer: -256*d*h**2*j - 88*h**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13708953 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 18*n + 25. Let v(y) = 37*y + 50. Let p(w) = 6*v(w) - 13*z(w). What is the units digit of p(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -0. Suppose 6*r + s*r = -32. Let u be (r\/1)\/(12\/(-156)). What is the highest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (2*sqrt(99) + sqrt(99))*-6)\/(-2*sqrt(144)).\nAnswer: 17*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-80) + 4\/(-16).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120524 (base 8) in base 4?\nAnswer: -22011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 5, m: 2, l: 1}. What is prob of sequence pl?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 175, 379, 681, 1087?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 225 - 61?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = -20. Put q, 2, 4 in descending order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 7. Let v(p) = -3*p + 14. Let i(n) = -3*v(n) + 5*x(n). What is i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13220498723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*-2 - (-74)\/(-111)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6692*z**6 + z**2 + 101*z - 3?\nAnswer: 803040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 16888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 315 + -174. Let v = -141.000276 + r. What is v rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:05 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(425)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 4. Let u(n) = n + 7. Let z be u(3). Let i be (-75)\/(-3)*6\/z. Suppose 3*m - i = 5*q, 0 = 2*q - 6*q + 3*m - 12. Determine s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39532 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2329*(-13 + 8 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 610, -3, 18, 0.4 in ascending order.\nAnswer: -5, -3, 0.4, 18, 610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13)**(2\/3) assuming f is positive.\nAnswer: f**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2 - a + 63. Let g be v(0). What is the remainder when (-18)\/g + (-298)\/(-14) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3242780 to the nearest 1000.\nAnswer: -3243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 80 + 4*x**2 + 0*x + 4\/3*x**3. Solve g(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aggg when four letters picked without replacement from gaaaaaaaaaaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21121020201021 (base 3) in base 13?\nAnswer: ab5aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097818 to 5 decimal places.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 5 (c) 7\/29 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113518 and 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - k**2 + 2*k**2)*(0*k - 4*k + 3*k)*(3 - 3 - 2)*(-4*k + 7*k + 177 - 123) as x*k + v*k**4 + m*k**3 + u + w*k**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/3 - (-73)\/(-146)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1210432 + -10?\nAnswer: -1210442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 0)*(0 + 3*k + 0)*(6*k + 2 - k - 3*k) to the form h + p*k**2 + f*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304 a factor of 63207138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 398\/5. Let f = 189\/460 + -1\/92. Solve 0*c**2 - x*c + 0 + f*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -5999*f**4\/12 + 277*f**2\/2 - 85*f + 8. Differentiate w(l) with respect to l.\nAnswer: -11998*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 - 147. What is the nearest to 0 in 0.1, -2\/5, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 10. Let w be f(-8). Let u be w + (10 + -2 - -2). What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11860 and -0.2?\nAnswer: 11859.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(8\/3))**(-8))**(-3) assuming g is positive.\nAnswer: g**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1, -2, 0.\nAnswer: -2, -1, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = 4*y - 32, 4*z - 5*y - 53 = 0. Suppose -9 = -2*m + 3. Let r be (m\/(-4))\/(9\/(-12)). Solve 22 = 3*g - 5*w, r*g - 4*w = -2*w + z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 13 + -21 + 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - -0.78. Let z = 4.9 - t. Let g = 21 + -18. What is the third biggest value in g, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4312873ug in kilograms?\nAnswer: 0.0000000004312873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93da8d (base 14) to base 7.\nAnswer: 60305036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3\/5 + 58814*x**2\/5 - 117634*x\/5 + 58818\/5 = 0.\nAnswer: -29409, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 119766789 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71262454?\nAnswer: 2, 29, 73, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p + 30. Suppose 7 = 5*s - 3. Suppose -s*w = -6*w + 16. Calculate the lowest common multiple of p and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o + 79. Let h be j(-4). Suppose 0 = -c + 5*d + h + 17, c - 40 = 4*d. Calculate the remainder when c is divided by (-1 - -2)*(-1 - -12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 76303285?\nAnswer: -76303285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191715.\nAnswer: 3, 5, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -56*(-1)\/(-2)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1269d - -6c?\nAnswer: -12631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -683102*n**3*p*q + 105*n**3*q + 10*n**2*p - 416*n**2 + 216*n*p*q + p + q wrt n?\nAnswer: -4098612*p*q + 630*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2 - 10*a**2 + 4 + 7 with respect to a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5405*g + 392904 = 52389 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1812*z + 2938*z + 14*z + 1957*z - z**3.\nAnswer: -z**3 + 6721*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769588231.\nAnswer: 2551, 301681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.6 + 39.6. Let s = -35 + m. Let z = 157 - 155. Which is the nearest to -1? (a) s (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0164 and 714.83?\nAnswer: 714.8464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, 2, 209, -289, -5 in increasing order.\nAnswer: -289, -5, 2, 189, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 6476065*h - 12952126.\nAnswer: -(h + 2)*(h + 6476063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 9624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -146*i. Let g(t) = 32 + 37 - 7*t - 106 + 37. Calculate x(g(s)).\nAnswer: 1022*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -128\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 139*w**2 + 149*w + 390. What is the hundreds digit of c(139)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + o**3 + o**4)*(-3*o + o + 0*o) + (5*o + 0*o - 3*o)*(o**4 - 2*o**4 + 3*o**4).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*w - 61, j - 16 = 2*w - 7. Let o = 559821\/214 + -2616. Calculate the common denominator of o and j.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/12 + 5*h**3\/6 - 15*h**2. Let y be q(0). Let i(g) = -129*g**2 - y - g + g**3 + 129*g**2. Determine i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - 2*u + 1. Suppose 0 = -5*h - 0*h + 5. Let a be q(h). Suppose 13 + 2 = a*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-66)\/(-429) - 4\/26. Suppose 3*a = -n - 2*n - 21, 2*n + a + 11 = w. Let v(r) = 9*r - 11. Let z(g) = -3*g + 4. What is n*v(j) - 11*z(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(70))\/sqrt(2))\/(sqrt(7) + sqrt(700)*2).\nAnswer: -5*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5768 + 33472 = 0. Is 109 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 1.46. Let x = m - -1.1. Which is the third biggest value? (a) -2 (b) -7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m**3 + 3*m**2 + 12*m + 48. Let s(x) = 10*x**3 - 4*x**2 - 15*x - 46. Determine 4*s(f) + 5*v(f).\nAnswer: -10*f**3 - f**2 + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/60 + ((-45)\/12)\/5. Let a = l - -7\/5. Factor -1\/3*p**2 + a*p + 0 - 2\/3*p**3.\nAnswer: -p*(p + 1)*(2*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 348704 = 124478. Suppose 3*a = v + 1970349 + q, -2194595 = v + a. Let m = 844590 + v. Round m to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-199 - -100) + 44 + -5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juujmnjnjunjmuujjnj. What is prob of picking 1 u and 1 m?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -87. Let f(x) = -x**2 - 9*x + 5. Let g be f(-5). Let b = c + g. What is the remainder when 36 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2. Let j = -2 - -2. Suppose 47*s - 36*s - 31 + 9 = 0. Let m(o) = j*o**2 - o**s - o**2. Give a(m(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + -3 + 0 + (19 - (21 + -11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*((-3)\/6 + 1). Suppose -z*w = -w - 74. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10377, 7, -5, -4, -2, 0 in decreasing order.\nAnswer: 10377, 7, 5, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135138.\nAnswer: 2, 3, 101, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1393536 divided by 32\nAnswer: 43548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 168680*y**3 + 843468*y**2 - 1349584*y + 674800 = 0. Calculate y.\nAnswer: -42175, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a. Suppose 4*g - 7 = -27. Let q(m) = m**2. Let t(w) = g*q(w) - h(w). Find the second derivative of t(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287.39909 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1226 - -1227. Put t, -9, -8 in ascending order.\nAnswer: -9, -8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.76 + -0.94. Let h = 0 - -0.7. Let p = h + i. Which is the closest to -1? (a) -5 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15384 and 72?\nAnswer: 46152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by -13.\nAnswer: -252\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 6\/7, -2\/17, -2, 84, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 17*g**2 + 16*g**3 + 3 - 20 - 17*g**3. Let s be x(-17). Solve 20 = 4*v - s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1341653*w + 1341657*w = h - 3, -5*h - 5*w - 10 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2 - 6*h**2 + 17*h**2 - 12*h**2. Let r(z) = z**3. What is m(q) + r(q)?\nAnswer: q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4 + 6*b - 2*b + 4*b**4 + 5*b**2 + 37*b**3 - 6*b**2 wrt b?\nAnswer: 72*b + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 26. Let l be g(-13). Let z be 40*(1 + 1) + l + 0. Factor 12*j + 68 - 2*j**2 - j**2 - z.\nAnswer: -3*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of (-6)\/(-4) - (-1260)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 2. Let z(i) = 7*i - 5. Let o(c) = 5*r(c) + 2*z(c). Let l(q) = 5*q**2 + 55*q + 45. Let v(g) = -l(g) - 5*o(g). Let v(s) = 0. What is s?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300233660 to the power of 1\/2, to the nearest integer?\nAnswer: 17327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5018564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-12)*4*-1. Suppose b - 5*g + 25 = -3*b, 15 = b + 3*g. What is the closest to i in 5, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(27)\/sqrt(3)*1 + sqrt(9)))\/(sqrt(18)\/(sqrt(72)*1 + sqrt(72) + sqrt(2))).\nAnswer: 13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.2 + 51. Which is the third biggest value? (a) 0.4 (b) -7 (c) 5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 - -153. Round c to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 514 + 3?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 17*o**2 - 17*o - 14. Let g be f(-16). Suppose -g*p + 4*p - 2*c - 10 = 0, c = -3. Solve 5*w = 2*w + p*x - 4, 5*x = 3*w + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 11) in base 3?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-2)*(-2439)\/(-18). Let f = 1358 + i. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37451 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 42*s - 15 = -46*s, 5*f + 15 = -s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + i + 1. Let p(v) = 55*v**2 + 2*v + 2. Let y(q) = -2*d(q) + p(q). Let c(r) = -5*r**2. Calculate c(y(a)).\nAnswer: -14045*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 183684228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 58*u + 1980. What is n(-34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1173, 2351, 3529, 4707, 5885?\nAnswer: 7063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 0. Suppose -w + 2*k + 4 = 2*w, k - 11 = -5*w. Let h(o) = -7*o**3 - o - 1. Let j be h(-1). Solve -q - 4 = -p, 0 = p - m*p - w*q - j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -0.04.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14061063 at least as big as -14061059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*f**2*v**2 + f**2*v - 138*f**2 - 2953*f*v**2*w - 3*f*v - f*w + v*w + 17*w wrt v.\nAnswer: 42*f**2 - 5906*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 100046.4778 to the nearest one hundred.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 4 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 689 or 701?\nAnswer: 689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1443544 + 2322?\nAnswer: 1450310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 152, 325, 516, 731, 976, 1257, 1580, 1951?\n\"Answer: l**3 + 3*l**2 + 157*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.049 - -0.049. Which is the nearest to -1? (a) 3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**3 + 35*f**3 - 101*f**3 + 35*f**3 + 39*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20756 from -190.632.\nAnswer: -20946.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10769.05197 to the nearest 100.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:53 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.12886 years to centuries.\nAnswer: 0.2812886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167129 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(-11 + 21 + 0*w + w)*(3 - 2 - 2) to q*w + i and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774349 is divided by 155.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 - 45*p + 96)*(3 - 1 - 1) in the form s + g*p and give g.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525 and 2370?\nAnswer: 82950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6120)\/330 + (-18)\/(-33)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*3 + -2*(sqrt(7) + 3) - (-5 + (sqrt(140)\/sqrt(5)*-4)**2).\nAnswer: -449 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6 - 23 - 49*y - 2*y**3 - 21*y**2 + 27*y. Let p be j(-14). Suppose -i + 0*i = -2*v + p, i - 4140 = -5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 136, 144, 154, 166, 180, 196?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/2*40\/25. Suppose -3*q = v - 0*v - m, 28 = v + 2*q. Suppose 0 = -4*a + 20 + v. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 1227127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 20 = -2*s - 22*l, 4*l = -3*s - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 8, i: 4}. What is prob of picking 4 f?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0632983 and 3.\nAnswer: 3.0632983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:53 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3100026*i**2 + 298*i - 229.\nAnswer: 6200052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -24*k + 18. Let z be g(9). Let w = z + 655. Suppose -2*b + 2*q = -b - 155, -w = -3*b - 2*q. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -406043383*m**2 + 2*m - 166690410.\nAnswer: -812086766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2259*t = 123354 - 360549 for t.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224989880539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z + 134*z + 1 + 2*z**2 - 170*z.\nAnswer: 2*z**2 - 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35866*g**2*x - g**2 - 3*g*x + 2*g + 10465099*x wrt g.\nAnswer: -71732*g*x - 2*g - 3*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l - 90. Let z be n(-9). Solve z = -7*h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -10. Let k be (32\/200)\/(4\/s). Is 2 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -211. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496084986 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24728.4549us?\nAnswer: 0.00000028620896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 20. Give x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52185 and 85945?\nAnswer: 897007965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69112?\nAnswer: 2, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let p(r) = -88*r + 17. Give z(p(c)).\nAnswer: 7744*c**2 - 2992*c + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjekjkjafejez. What is prob of sequence ef?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10) + (-11)\/((-220)\/32)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {a: 3, u: 1, m: 3, j: 1, y: 2, d: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = -1612 + 4524. Suppose -29*m = -t*m + 6300. Which is smaller: m or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113072 and 2069632?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135.3 - -135. What is the second biggest value in z, 0, 578?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -1. Let s be (-8)\/14*(-2394)\/228. Find the third derivative of -14*c**6 + 567*c**3 - 567*c**o + 26*c**2 + c**s wrt c.\nAnswer: -1560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*((-168)\/9)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 1 + (-238)\/(-98).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -67105 and -67134 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 52 = 5*z, -y + 0*y = -4*z + 45. Let i = -1 - -3. Let m be (-45)\/(-21) - 152\/133. Put z, i, 5, m in decreasing order.\nAnswer: z, 5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*w**2 - 922*w - 220.\nAnswer: -2*(w + 11)*(41*w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 11*o = -310. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 3) + (0 - 3) - -3. What is the greatest common factor of l and 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17 - 6) + -7 - 2) + (-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*j + 10 = 29, -j - 3 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843804 is divided by 842658?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42682.\nAnswer: 2, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 35*h**2 + 15. Let g(w) = 5*w**2 + 2. Let x(l) = -15*g(l) + 2*z(l). Let y(p) = -17*p**2. Determine x(y(v)).\nAnswer: -1445*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 16 = 3084*u - 3080*u, -3*g - u = 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16319 (b) -2 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17 - -12)*4\/(-70). Which is the nearest to 2\/11? (a) 0 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -5*p - 5*p. Let t be 20\/6*p\/18. Suppose 5*u - 4*b - 61 = -t, 4*b = -4*u + 8. Solve -u = 2*a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - p - 59 = 0, -p = 2 - 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -532, -530, -528, -526, -524?\n\"Answer: 2*y - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -115b + a?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4180 is divided by 247?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/7))\/v*v**(1\/3))**(14\/9)*(v**1)**32\/(v*v**(-1)*v)**(-42) assuming v is positive.\nAnswer: v**(2000\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10598130 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43421545, 43421548, 43421549, 43421548, 43421545?\nAnswer: 43421540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}