diff --git "a/data/dm_maths/full_data/1208_11255.jsonl" "b/data/dm_maths/full_data/1208_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1208_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -150269 divided by -13\nAnswer: 150269\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouorhv. What is prob of sequence roh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*t - 9 = -3*c, -5*c = -4*t - 50. Suppose -c = -4*q + q. Suppose 4*u = q*y + 128, u = -y + 36 + 2. Solve 5*g - 15 = 0, 5*g + 7 = -4*m + u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = -2*o. Let d(i) = -3*i + i - 9 - o*i. Is d(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Suppose -4*m + 2*c + k*c + 36 = 0, -3*m = -5*c - 27. Let j(w) = 2*w**2 - 6*w - 2. Let x be j(5). What is the highest common divisor of x and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -181, 18, 415, 1010, 1803?\n\"Answer: 99*b**2 - 98*b - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {d: 1, a: 1, u: 1, e: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 208027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198858884.\nAnswer: 2, 7, 7102103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 10021?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5050*d - 5045*d - 3 - d**3 + 3*d**2 - 4*d**2. What are the prime factors of l(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.200574 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t - 83 = -5*r, -r - 2*t = -22. Suppose -4*n + 9*n - 22*n + 2669 = 0. What is the remainder when n is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + c. Let x be (6\/(-4) + 1)*0. Suppose z + 4 = 5*z. Solve -o + c*o + z = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549819025 to the power of 1\/2, to the nearest integer?\nAnswer: 67452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 23*x**2. Let p(a) = -20*a + 38*a - 23*a. Give p(v(z)).\nAnswer: -115*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 831, 1613, 2383, 3135, 3863, 4561, 5223?\n\"Answer: -b**3 + 789*b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18141 + -3?\nAnswer: -18144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - k + 79. Give n(0).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 105799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 416200.9 litres in millilitres?\nAnswer: 416200900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 6*n**2 + n - 2. Let z(d) = 4*d**3 - 21*d**2 - d + 1. Let a(s) = 5*q(s) - z(s). Calculate a(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2917, -1 in ascending order.\nAnswer: -1, 4, 2917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -473\/3, 5, -99, -0.37, 1\/2 in descending order.\nAnswer: 5, 1\/2, -0.37, -99, -473\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 9*r = -3*n + 1734, -5*n = r - 2910. Suppose -3*k = 2*g - n, 5*g - 3*k - 1030 = 459. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 9*m + 4*m. Let n = m + 39. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6153\/13 + 1499265\/3172. Let g = y + -6\/61. Let p = -0.1 - 0.9. Which is the biggest value? (a) g (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-23)\/(828\/(-243)))\/(-1)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-201)\/(-7) - (-6)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, 19201, -5 in descending order.\nAnswer: 19201, -5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 846296.6 - 846613.599742. Let h = c - -317. What is h rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 3256?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*z**4 + 128\/3*z**2 + 0 - 32\/3*z**3 + 0*z.\nAnswer: 2*z**2*(z - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2. Let o be p(5). Let z(g) = 890*g**3 + 4*g**2 + g - 3. Let x be z(o). Round x to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3*m + 4*b = -11880, 4*m - 4*b - 9500 = 0. Suppose -533 = s - m. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/740 and -55\/457024.\nAnswer: 2285120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - (-639)\/36. Suppose 5*p - 3 = 2*h, 5*h + 2*p = 54 - j. Let u(g) = g - 5. Let v be u(5). Solve v*q = -3*q - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.95365 centuries to years.\nAnswer: 5495.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-550)*10\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(sqrt(832) + sqrt(832)*1)**2 + (sqrt(104)\/(sqrt(8)*2) - (1 + sqrt(1872)))*2 + 2.\nAnswer: -23*sqrt(13) + 19968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*y**3 - 472*d**3*y**2 - 10*d**2*y**3 - 50*d**2*y + 75494*d*y**3 + 2*d*y - y**2 - 2 wrt y?\nAnswer: -12*d**3 - 60*d**2 + 452964*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r**2 + 19*r**2 + 14*r**2)*(-1 - 4 + 4)*(4 - 4 - 2).\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*u - 9. Find the first derivative of -728*b**4 + 726*b**4 - 4*b**3 - u + 22 wrt b.\nAnswer: -8*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 114, 70, 26?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - b + 7, 4*s + 0*b = 3*b + 5. Suppose -4*k + s*z = -172, 2*z - 196 = -4*k - 2*z. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24323321 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 15*p**2\/2 - 9. Let y be (1 + 1)*11\/2. Let d(u) = -8*u. Give y*d(v) + 6*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) 3\/5 (c) -704.7357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 + 2.9.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/6 - 2393*v\/3 + 4775345\/2 = 0.\nAnswer: -6871, 2085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50413261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5146 = 72*w + 102*w - 422 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*a**2 + 651*a**2 - 81*a**2.\nAnswer: 656*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-312024)\/2)\/(-12) + (-4 + 0)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 28136.\nAnswer: 11\/14068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/20 - z**4\/8 - 10*z**3 + 14*z**2 - 69*z. Let w(l) be the first derivative of t(l). Find i, given that w(i) = 0.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-8))\/5)\/(17\/2652*-9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*j + 2217 = 717 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*o**2 - 486 + 486)*(1 + 0 + 1)*((3 - 5 + 3)*(1 + 0 + 1) + 1 + 3 - 5).\nAnswer: 212*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 721? (a) -3\/8 (b) -25 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-13)\/x*(x**(2\/7)*x)\/x)\/(((x\/x**0*x)\/x)\/x)**(-40))**(-1\/4) assuming x is positive.\nAnswer: x**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/130 - 87*r**4\/26 - 440*r**3 - 1300*r**2 - 794*r. Find x, given that d(x) = 0.\nAnswer: -130, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.655 to the nearest integer.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - -3.5. Let v be 0 - ((-2)\/8)\/(-1). Which is the closest to -1? (a) -4 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1548999136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**3\/3 - 9*b**2\/2 - 5*b + 2. Let j = -125 + 118. Determine a(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:14 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 32. Let k be d(-8). Solve -k = 3*f + 3*j, -f = -0*f - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v + 5*h + 26, -3*v = -4*h - 23. Let w = -2 - -3. Let x = 2 - w. Is v greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 596 + a?\nAnswer: 5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12004314 - 134?\nAnswer: 12004130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-76))\/(2\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/7 + 748*g**3\/7 - 304*g**2 - 36268*g\/7 - 4770 = 0.\nAnswer: -5, -1, 9, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 13*h**2 + 7*h + 9. Let b(m) be the second derivative of 7*m**4\/12 + 2*m**3\/3 + 5*m**2\/2 + 3*m + 1. Calculate -11*b(u) + 6*q(u).\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 31.49.\nAnswer: 31.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.84 times -0.4\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15369160 and 7136.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1, -13, 4\/7, -0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 20. Let l(k) = -3*k + 1. Give l(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 65. Let n = -10 + d. Solve 0 = n*g - 10*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + 0 + -37 + 96\/24. Suppose 3*g = 2*g - 120. Let p = l - g. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 284*l - 45627. What is i(145)?\nAnswer: -4447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-79562)\/11)\/((-8)\/6). Let z = t + -5428. What is the common denominator of z and -117\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(2\/55) assuming n is positive.\nAnswer: n**(-8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - g = b - 18, 3*b - 40 = 5*g. Factor b + 88*x**4 - 36*x + 0 - 13*x**4 + 1 + 90*x**3 - 33*x**2 + 1.\nAnswer: 3*(x + 1)**2*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137964434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4465 + 22327\/5. Sort -3, 1\/3, -75, y in decreasing order.\nAnswer: y, 1\/3, -3, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000022110 - -201?\nAnswer: 2000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -92.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 8*w + 11. Let q be r(9). Let o be (0 + q\/6)\/(18\/324). Find the common denominator of 31\/20 and (-834)\/6*1\/o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -986, -889, -728, -503, -214?\n\"Answer: 32*r**2 + r - 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.01, 3\/2, -71.6, 1\/4, 5?\nAnswer: -71.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-10032)*57*-12)\/(3\/(-64))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32301 and 22795.\nAnswer: 7590735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v - 54. Determine z(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95*(-1)\/(-2)*(-3)\/6 and -57\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1207\/10944 - 1\/1216. Which is the biggest value? (a) -4 (b) 4 (c) y (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 351\/36*(-22)\/(-3). Let x = f - 71. Let g = -0.36 + -0.04. Sort g, -0.05, 5, x in increasing order.\nAnswer: g, -0.05, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from pgmtzgu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000011000011101 - -100?\nAnswer: -10110000011000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 12, h: 3}. What is prob of sequence nnh?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 2*s - 10*s + 4*s**3.\nAnswer: 4*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 6*q + 12. Suppose q*h + 20 = 20. Solve s - 2*s + 2 = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-780)\/(-325)*(-4 - 35\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**2 + 271500*v + 271495 = 0.\nAnswer: -54299, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 3*t - 2. Let r be b(-2). Let q(l) = l**2 + 5*l - 11. Let x be q(r). Let v = 18 - x. Solve 4*w - v*m = 16, 3*w - 4 = 2*w - 3*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 5*u**2 - 4*u. Let q be z(-4). Suppose q = 5*t - 79 + 9. Let h be 4\/t - (-34996)\/14. What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**4 - 5*s**3 - 5*s**2 - 3. Let m(g) = -g**4 - g**3 - g**2 - 1. Let k(c) = -f(c) + 5*m(c). What is the derivative of k(i) wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1250\/7*c + 0 - 2\/7*c**5 + 40\/7*c**4 - 300\/7*c**3 + 1000\/7*c**2.\nAnswer: -2*c*(c - 5)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4291 - 34.66?\nAnswer: -4325.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2268 divided by -324.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 1, q: 1, g: 1, m: 1}. Give prob of sequence fqfw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let q(w) = 2*w**2 - 2*w + 7. Let g be q(-5). Let n = 131\/2 - g. Which is the biggest value? (a) n (b) 2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -26.7. Which is the smallest value? (a) 2\/27 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -194, -319?\n\"Answer: -125*o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7792, -8630, -10026, -11980?\n\"Answer: -279*x**2 - x - 7512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**3 + 19*w**2 - 5*w. Let d(t) = 4*t**3 + 9*t**2 - 3*t. Let j(a) = 5*d(a) - 3*f(a). Factor j(s).\nAnswer: -4*s**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 + -243. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*n = -8, 39*o - 34*o - n = -21. Put o, 1, 6 in ascending order.\nAnswer: o, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.68 - -0.2.\nAnswer: -35.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 + 2 = k, -2*d - 3*k = -15. Which is the nearest to -1\/4? (a) -3\/5 (b) 11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151478 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-69)\/(-6))*72*(-20)\/(-2520)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6142.557ml?\nAnswer: 6.142557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 37 + -9 + (770\/42)\/(60\/72)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -57. Let n be 0\/((1 - f) + -1). Is -219 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 57738485920 and 1.91.\nAnswer: 57738485921.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -57 - 21. Let n = s - 8. Solve y = h + n, 0*h = 2*h + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 + 24*o**3 + 4*o**2 + 4*o**2 + 89*o**3 - 11*o**2 + 5*o**2 in the form t + n*o**4 + p*o**2 + u*o**3 + c*o and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 21 + 14 + 8*z - 47*z**2 - 20. Let j be o(-5). Round j to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/21)*k\/(k**4*k)*(k*k**(-1\/2)*k)**(1\/49))\/((k**4*k*k)**(-2\/21))**(6\/17) assuming k is positive.\nAnswer: k**(-18355\/4998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-401)\/(-6) + ((-200)\/(-48) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 - 10)*(2 + 3*g - 2 + (2 - 7 + 3)*(2*g - 2*g + g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -3, 2, -1, -15, 9 in ascending order.\nAnswer: -79, -15, -3, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*x**5 + 10*x**2 + 5*x + 1 wrt x?\nAnswer: 360*x**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2\/11, 5, -0.04, 8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 2*k + 89. Suppose -14*q = -17*q. Is x(q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*2*sqrt(77))\/(sqrt(132)\/sqrt(3)).\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by 241254?\nAnswer: 49\/80418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + 6. Calculate n(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*y - 105*y - 862 = 1894. Solve -y*b + 15*b = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(-2*sqrt(704) + -3 + -1 + 1 + sqrt(704) - (-6*1*sqrt(704) - -6*-2*sqrt(704)))**2.\nAnswer: -406931 + 1632*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28932336 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 3, f: 1, u: 1, y: 1}. Give prob of sequence mm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 36*s - 627. Let c be x(16). Suppose 5*m - 290 = -3*d, -4*d - 171 = -3*m - 548. Let n = d + c. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9001 (b) 2\/15 (c) 3 (d) 4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13) + 2 + (5 - (186 + -125)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6323011 and -2560.5.\nAnswer: -2561.1323011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/9 - ((-18)\/126 - (-64)\/56).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -753*c**2 - 375.\nAnswer: -1506*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1142 and 72180110.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 2. Let t(x) = 7*x - 5. Let k(s) = 2*t(s) + 5*u(s). Let f(a) = -a**2 + 5*a**2 + 3*a**2. What is k(f(c))?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 - 3*h**4 + 2*h**4)*(0 + 4 - 2) + 21 + 2*h - 4*h - 2*h**4 - 22.\nAnswer: -4*h**4 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012848451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k - 197. Let z be r(-21). Solve z*n = 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316387.6 litres to millilitres.\nAnswer: 316387600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81376 is divided by 1965?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59835 and -0.13?\nAnswer: 7778.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 35*n**2 + 5*n + 128. Calculate h(18).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**4 - 2*z**3 + 4*z**2 - 3*z + 5. Let n(m) = 7*m**4 + 2*m**3 - 3*m**2 + 2*m - 4. Let t(g) = 5*n(g) + 4*o(g). Factor t(p).\nAnswer: -p*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -226942, -226947, -226962, -226993, -227046?\n\"Answer: -f**3 + f**2 - f - 226941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 264 = -6*w. Let g be ((-3025)\/w)\/(2\/(-8)). Let r be 1*-4 + g\/(-77). Which is the third smallest value? (a) 0.03 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 33*m + 93*m - 1290317. Is m a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -318\/131?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175422072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 58. Suppose f - 2151 = -z*f. Let h = -99 + f. Calculate the greatest common divisor of h and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3301612*c**2 + 2018146*c.\nAnswer: 6603224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -30*h + 185. Let c be a(6). Let s(i) = -3 - 9*i - 10*i - c*i + 18*i. Determine s(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = h + 3921 + 491, -2*h = 3*y - 4406. Suppose -5*o + y = o. Calculate the highest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 - z**5\/5 + z**3\/2 + z**2. Let g = 16 - 4. Let y be m(g). Is y < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**2 - 24*s**2 - s**3 + 11*s**2 + 159*s.\nAnswer: -s**3 + 159*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*p = -1143 + 7073 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1178bb (base 15) to base 14.\nAnswer: 17a73b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -5 + 13 + -18 + (-5 - -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 21 = -5*s, -27*l - 13 = -3*s - 28*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31)\/(22\/(-10) + 2). Let b = -284 + 445. Let q = b - v. What is the highest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1130 and -111\/49480.\nAnswer: 5591240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19852.9*-155\nAnswer: -3077199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -2 + (9 - 6). Suppose d = -j + 178, -5*j + d + 564 + 302 = o. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*o = -158*o + 2*y + 1, -o = y - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.185 - -1.095. Let f = c - 1.294. Let x = f + -28.316. What is x rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 + -4716.899226?\nAnswer: -4713.199226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 9*v**2 - 2*v - 14. Let t be o(-9). Suppose -2*z = t*z - 36. Suppose c - 154 = 5*s, -c - z*s + 5*s + 130 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 5, 2.7, 1, 1\/6 in decreasing order.\nAnswer: 5, 2.7, 1, 3\/11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2457 and 1511055?\nAnswer: 1511055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -0.0089 (c) -1\/5 (d) -7.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3185 = 5*p, 2*p - 2*x = p + 637. What are the prime factors of p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 306 = 52*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 7010141.456758.\nAnswer: 7010140.456758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75 + -40?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*q + 4 = 298*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1313\/54 or -25?\nAnswer: -1313\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 9*p + 2*u, -5*p = -4*u - 36 + 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39965 - -119975\/3. Factor w - 4*g - 2\/3*g**2.\nAnswer: -2*(g - 4)*(g + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 4*a + 20 = 0, 4*x = -2*a - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 77*p - 164. Calculate the least common multiple of d(36) and 1960.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(9*h**3 - 107 + 107) + (h**3 - h**3 + 5*h**3 - 2*h**3 + 5*h**3)*(-5 - 9 - 9) in the form g*h + n*h**3 + y*h**2 + v and give n.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 14. Let g be (-1)\/2*(1 - -1)*u. Suppose 4*t - 25 = -g. Solve -t - 1 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y\/(y\/(y*y**9)))\/y))\/y)\/(y\/(y**(2\/5)\/y)*y) assuming y is positive.\nAnswer: y**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36967 = 181*v + 2577. What is the lowest common multiple of 399 and v?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:55 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2496 divided by 6\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (126*12\/28)\/(-4)*6\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.2. Let z = -2.01 + 0.01. Let i be (60\/21 + -2)*-7 + 1. Put q, i, z in increasing order.\nAnswer: i, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -26\/7, -8, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 8*b**2 - 7*b - 18. Let n be r(9). Which is bigger: 1\/5 or n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006232554 rounded to 6 decimal places?\nAnswer: 0.006233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 218*v + 43 = -5*r - 223*v, 3*r - 30*v - 204 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*s = -26, -o + 2*o - 3 = s. Let n(c) = 167*c**2 - 2*c + 1. Is n(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = 4. Suppose 0*b = -b - l. Let r = -2.92 - 0.08. What is the second smallest value in r, b, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578527903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*o - 5*o. Let n = o - -19. Let r(d) = -4*d - 43. Let c be r(-17). Calculate the highest common factor of n and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 259491259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-21 + 22 - -21)) + -39.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 29. What is the highest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 8*c**4 + 17*c**3 + 10*c**2.\nAnswer: c**2*(c + 1)*(c + 2)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 37*c - 2217. Let o be a(60). What is the fourth biggest value in -1, 5, o, 0, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737657208?\nAnswer: 2, 7, 633257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-2)\/6) - -7. Let v be 5*4\/80 - 353\/b. Let h = v - -182. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 48. Let l(r) = -3*r**3 - 8*r**2 - 2*r + 6. What is the remainder when l(-3) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 121*t - 1635. What is the remainder when 84 is divided by b(14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 19810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = f + 9*z - 14*z, 2*f = 3*z - 38 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*z = 15 - 16, z - 11 = -s. Sort 0.4, s, -16, 2 in ascending order.\nAnswer: -16, 0.4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.024? (a) 0.014 (b) 0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 13 = 20*r + 3*l, -3*l = 2*r + 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(2\/30). Solve -7 = -4*i - f*n, i + 2*n + 17 = 6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18337330015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v + 298 = -65*v. Let h be (-3)\/(-2)*(v + 1). What is the greatest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from ssznfsszsbzzszszzssz.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*q**3 + 249*q**3 - 8*q - 491*q**3 - 5*q + 41 - 34 to the form x*q + p*q**2 + z + r*q**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3563\/27320 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 0.7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 41.7. Which is the fourth smallest value? (a) h (b) -5 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 28*u**4 - 5508*u**3 - 129200*u**2 - 158544*u - 34880 = 0.\nAnswer: -20, -1, -2\/7, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 354 + -1?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -29*s + 988. Are 36 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v + 54*v + 50*v - 153*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 12253?\nAnswer: 12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/6 + 17*t\/3 + 289\/6 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y. Let i(l) = 8*l**2 - 2*l - 2. Let z(h) = -57*h - h**2 + 1 + 34*h + 24*h. Let b(s) = i(s) + 2*z(s). Give b(w(a)).\nAnswer: 150*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1512)\/16)\/9)\/((-1)\/(-4)*-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 36 = v. Let g be (-64)\/(-144)*v\/(-2). Let d = g + 2. Solve -7*i = -3*i - d*n - 12, 1 = 5*i + 2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.235776 rounded to 2 dps?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12936, -25867, -38798, -51729?\nAnswer: -64660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Suppose 0 = -4*s - 2*l + r, l = -5*s + 8 - 0. Suppose -771 = s*w - 5*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -406. Let h = l + -305. Suppose -u + 3 = -2*u. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4334 - 3?\nAnswer: -4342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*q - 9, w + 2*q = -0*w + 7. Suppose -9 = -t - w. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - l**3 - 20*l**2 + 4*l**2 + 16*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -0.123, -4, 2, -2, 3, -0.264?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2880493, -5760963, -8641431, -11521897, -14402361?\n\"Answer: v**2 - 2880473*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 6 = s + 4*f, s = -3*f + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 2770*d**2 + 911774*d - 33176946.\nAnswer: 2*(d - 33)*(d + 709)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 146*g + 12. Let p(u) = -436*u - 43. Calculate -7*a(w) - 2*p(w).\nAnswer: -150*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z**5 + 13699*z**4 - 184424*z**3 + 690683*z**2 - 530340*z + 10332 = 0. Calculate z.\nAnswer: -287, 1\/50, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12482, -24925, -37328, -49691?\nAnswer: -62014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 + 49*i**3 - 5 - 44*i**3 wrt i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:41 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1194258444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 + -2.7. Which is the second smallest value? (a) h (b) 2\/13 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-84) - 1358\/4508?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -424451475.4 to the nearest 1000000.\nAnswer: -424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 2, e: 2, v: 3, m: 4}. Give prob of sequence em.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/242*-7)\/(115\/460).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5309 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 - 305*j - 1476. Give g(-71).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6473d (base 15) in base 8?\nAnswer: 1156643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8814598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3 + 0 + sqrt(75))**2 - (sqrt(75) + -3*sqrt(75)*-1 + sqrt(75))**2).\nAnswer: -1790 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30, -28, -20, 22, -4, 4 in descending order.\nAnswer: 22, 4, 0, -4, -20, -28, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - 21*d + 4. Let h be b(-5). Suppose 0 = -6*f - h*f + 45. Solve 5*a - 7 - 15 = f*w, -4*w - 3*a + 19 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8208)\/304 - (-696)\/26.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*9\/2*(-1545)\/3090.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 0*s**3 + s**3 + (-2*s - s + 2*s)*(-20*s**2 + 14*s**2 - 15*s**2) - 80*s**3 + 118*s**3 - 75*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 444.04 and 10551344585.\nAnswer: 10551345029.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 390 + 198 - 708504*b + 708531*b.\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 - 151*u - 412. What is n(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110827893?\nAnswer: 3, 11, 19, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4395 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2395 divided by 5?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517536?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - -1822. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w + 8. Suppose 4*c + w*a - 98 = 0, 5*a = -c + 2*c + 3. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 23734636*o - 166142256 = 0. Calculate o.\nAnswer: 7, 5933652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdme. Give prob of picking 1 g, 1 d, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 20*j**2 - 16*j - 3. Calculate v(3).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 4. Suppose -h*a = a. Suppose -c + 3 = -a*c. Sort -4, c, -2 in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, 8, -1\/8 in decreasing order.\nAnswer: 8, 3, 2\/9, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3*(-3117)\/6*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. What are the prime factors of ((-4)\/(-6))\/(o\/18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144*i**2*w**2 + 1544*i**2 - w**4 wrt w.\nAnswer: -288*i**2*w - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 48\/5, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072821429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3964 is divided by 85?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/27))**(5\/3)*(c**(-6))**(-3\/10) assuming c is positive.\nAnswer: c**(679\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 75, 95, 109, 117, 119, 115?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-6)*(-180975)\/(-38). What is l rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 60939, 27.\nAnswer: -3, 27, 60939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:14 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 296 + -291. Let q = 14 + -10. Let x(o) = -2 - q*o + 0*o + 4. Let b(n) = -8*n + 3. Calculate c*x(i) - 3*b(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -468558646*o**3 - 21810029*o.\nAnswer: -2811351876*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -67*b - 1479. Determine u(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6790731 in 1, -3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 7. Let g(w) = -w - 4. Let a(h) = -2*d(h) + 3*g(h). Let u(o) = 1. Calculate -a(j) - u(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5157515453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4163087773?\nAnswer: 13, 317, 739, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 631560 and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 4*b - 14*b + 13*b + b. Let q(u) be the first derivative of -2*u**3\/3 - 1. What is q(s(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 - -8) + (-4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 12*q + 16. Let i be h(-13). Let x(j) = 2*j - 3. Let c be x(i). Suppose -3*m + 3*l + 55 = -68, 3*l + c = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 + -4.93. Let n = q - -5.2. Suppose -20 = 3*m + 2*m. What is the third smallest value in m, 1\/2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 4, f: 7, c: 2, e: 1}. Give prob of sequence fec.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/74297745 and 97\/36.\nAnswer: 297190980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -76823, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4973 - -4966. What is the closest to h in 4, 3\/7, 8\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*i - 141 = 3*o, 0 = -5*i + 2*o + 247. What is the third derivative of -33*j**3 - 3 + 74*j**2 - i*j**3 - 61*j**2 wrt j?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 920665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 6 = -u - 4*q, 0 = u - 4*q - 12. Let t be ((36\/(-33))\/3)\/((-98)\/539). Let 5*r - 15\/2*r**t + u = 0. Calculate r.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 106 = -4*g, -5*g + 5*d + 74 = -2*g. Suppose -8*r + 4 = -6*r. Suppose -r*h = -23 - 7. Calculate the remainder when g is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 119*b**4\/12 + 19*b**3\/2 - 152*b. What is the second derivative of n(j) wrt j?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.28 (b) 3\/4 (c) -2\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 17. What is the remainder when 30\/(-9)*(-408)\/16 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001982 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2514, -2\/15, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 15. Let w = 3 - l. Solve -w*t = -3*f - 11 - 4, -3 = 5*f - t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57265, -57225, -57185, -57145, -57105, -57065?\n\"Answer: 40*h - 57305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 127\/6*i**3 + 0*i**5 + 0 + 91\/10*i**6 + 0*i**2 - 50*i + 0*i**4. What is the second derivative of w(v) wrt v?\nAnswer: 3276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2704*i - 4004 wrt i?\nAnswer: 2704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94161665 to the nearest integer?\nAnswer: 9704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 689423, 2757671, 6204757, 11030687, 17235467, 24819103, 33781601, 44122967?\n\"Answer: x**3 + 689413*x**2 + 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 12*u**2 - 16*u + 12. Let a be w(10). Suppose 0 = 5*t - 292 + a. Let b = t + 5. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 2, n: 1, q: 3, m: 1, j: 3}. Give prob of sequence jqmb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 333248221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y, 3*l = 4*y + 15. Let n be 12*2 - (-2 + (0 - -1)). Suppose -5*r = n, 0 = l*o + r + 2*r. Solve x - o = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(1 + 1 - 1)*(3 - 11 - 4 + (2 + 0 - 1)*(-1 - 1 + 0))*(1 + 2*n + 0*n - 4)*(-2 - 1 + 4) as z + j*n and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -20. Let t = -2.84 + 4.34. What is the smallest value in 0.1, t, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721779 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 21*y - 18. Let u(h) = 8 - 3 + 34*h - 31*h. Let x(c) = -8*c - 12. Let j(a) = 5*u(a) + 2*x(a). What is -18*j(d) - r(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) 0 (c) 2 (d) -1.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, -13, -124, -291, -520?\n\"Answer: -c**3 - 19*c**2 + 3*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*v + 5*m, 2*v + m + 152 = 7*v. Let c(k) = 235*k + 40. What is the smallest common multiple of c(0) and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -0.1, -15.6, 4, -231 in ascending order.\nAnswer: -231, -15.6, -0.1, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - q = -9, -153*q - 6 = 4*x - 165*q + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than or equal to -61180491.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(91) - sqrt(91)) + sqrt(91) - sqrt(91))\/sqrt(7) + sqrt(13) - (sqrt(832) + 4*sqrt(832)).\nAnswer: -42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 48. Determine b(32).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 81a75?\nAnswer: 81a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 943372.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60137 and 1331?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 99, -2, -4 in decreasing order.\nAnswer: 99, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2210575 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94934968801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = 3*j, -8 = -3*d - d. Suppose 0*q = j*b + q - 200, -3*b - 3*q + 141 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - 1. Let u(c) = -8*c**3 - 12*c**2 + 23. Suppose 4*t - 8 = -12. Let h(n) = t*u(n) - 3*l(n). Factor h(q).\nAnswer: 5*(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 127682, 127758, 127836, 127916?\n\"Answer: q**2 + 73*q + 127608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let z(x) = -2*x**2 + 6*x + 6. Let i(f) = 6*w(f) - z(f). Let d(h) = 12*h + 12*h + 4*h - 29*h + 7*h. Determine d(i(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 + 6?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 11) in base 7?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 + 29580*o - 54482624 = 0. Calculate o.\nAnswer: 3472, 3923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4193427223 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 461*u - 31*u**4 - 461*u + (-2*u + 2*u - 4*u**2)*(6*u**2 - 3*u**2 - 2*u**2) to r*u**3 + h + i*u**4 + k*u**2 + w*u and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 245833.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**2 - 210382*b - 210382. What is u(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/32*9)\/(-27)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30401271 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.28 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 925.831\nAnswer: -24071.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j**2\/4 - 375373*j\/4 + 53625\/2 = 0.\nAnswer: -53625, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8812697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -45. Solve 5*i + 0 = -r - 2, -m*r = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 67. Let w = 18.296 + u. What is w rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6487.091834 + 6434.0914. Let k = 53 + u. Round k to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 725496 and 16986.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, i: 2, q: 2}. Give prob of sequence iqcq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 20. Let x(z) = -3*z + 41. Let p(k) = 5*v(k) - 2*x(k). Calculate p(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 4*g + 2. Let u(c) = 4*c**2 - 9*c - 5. Suppose -20 = 4*f - 36. Calculate f*u(l) + 9*n(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 13 + (13 - 8 - 12 - -57).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 27. Does 18 divide p(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + ((sqrt(160)*1 + sqrt(160))\/sqrt(8) - sqrt(20)))\/(sqrt(605) - sqrt(605)*2))\/((sqrt(8)*5 + sqrt(32)*4)*3).\nAnswer: -sqrt(2)\/429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 6. Let f be p(-5). Let i be (3\/((-36)\/16))\/(6\/(-18)*1). Solve 0 = -3*l - i + f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1397*f**3 + 724*f**3 + 3*f + 705*f**3)*(-8*f + 5*f**2 + 8*f + (3*f - 3*f + f)*(-f - 3*f + 2*f) + f**2 - 4*f**2 + f**2).\nAnswer: 32*f**5 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 17}. What is prob of picking 2 y and 1 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8)\/(3\/(-6)). What is the biggest value in q, -2, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2. Let v(x) = -11*x**2 + 3*x**2 + 0*x**2 - 4*x**2. What is v(f(d))?\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 495 + 632 + 500 + 797 - 2*x**3 + 2*x**2 in the form g*x + l + s*x**2 + n*x**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/14)\/((-552)\/(-6279)) - (-13)\/(65\/(-20))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*c - 4563, -1491*c + 3*h = -1486*c - 7615. What is the highest common divisor of c and 2398?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*i - 41 + 18 + 20.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 16) to base 12.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.57.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 i, and 1 s when four letters picked without replacement from {d: 1, h: 2, s: 7, i: 7}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 6*c - 1. Let w be j(5). Find the first derivative of -2*g + 2 + 2*g - 4 + w*g wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1.25, -8\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 14*f = 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37611 and 3186?\nAnswer: 4438098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.141 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**6\/21 + 6*j**5\/35 - 3*j**4\/7 - 52*j**3\/21 - 27*j**2\/7 - 18*j\/7 + 674. Suppose m(l) = 0. Calculate l.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -0.85. What is z rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729518?\nAnswer: 2, 3, 7, 41179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*w + 125, 100 = -4*w - 60*d + 42*d for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 6. Suppose -r + l = r. Suppose r*n = -5*g + 17, 5*g - 10 = 3*n + 13. Calculate the lowest common multiple of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + 11010010011101111111?\nAnswer: 11010010011110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.42 - 0.08. Let q = r - -0.5. Sort 0.2, -1, q in descending order.\nAnswer: 0.2, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2679*m**4 + 3*m**2 + 9741*m wrt m?\nAnswer: 32148*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 1 - 1 + 0 + 0 + 3*i + (5 - 3 + 1)*(-3*i + 5*i - i) + (3*i + 0*i - i)*(0 - 4 + 5) - 2 - 25*i - 2*i - 4*i.\nAnswer: -24*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -215*j. Let q(l) = 2*l**2 + 3*l + 330. Let n(u) = -u**2 - 2*u - 220. Let s(f) = -6*n(f) - 4*q(f). What is s(o(p))?\nAnswer: -92450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 1, z: 3, l: 2, e: 3, m: 1}. What is prob of sequence zllk?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lysozzcclzlozlcolc. What is prob of sequence co?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (((-11 - -21) + -13 - 37) + 6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6469, 12939, 19409, 25879, 32349?\n\"Answer: 6470*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 - p**2 + p**2)*(4*p - 6*p + 4*p) - 23*p**3 + 2*p**4 - 2*p**4 + 3*p**4 to f*p**4 + c*p**3 + d + z*p**2 + s*p and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9 = 5*w - 2*w, -h = 2*w - 7. Suppose -4*v - 23 = -h*y, 4*v + 6 = y + 9. Solve -g - 5*m - y = 2*g, 2*g - 3*m - 23 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 + 3001?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -79*w - 390. Let o be d(-5). Solve -3*f + 10 = -2*t, t = -0*t - o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -67*c**3 + 55*c + 32*c**3 + 90 - 40*c**2 + 30*c**3 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 2. Does 18 divide 0 + n + 29 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from lxxxnoncnnolonxllonl.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 138\/(-84)*2. What is the nearest to -10 in 2\/19, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 388, 746, 1096, 1438?\n\"Answer: -4*o**2 + 370*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4 + 109*c**3 + 18786*c**2 = 0.\nAnswer: -93, 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = 2026 + 5408. Calculate the remainder when h is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1911) - 1*sqrt(1911))\/(sqrt(6)\/(sqrt(4)\/sqrt(2))) - (-3 + -5*(-2*sqrt(468))**2 + (sqrt(468) - -5*-1*sqrt(468))).\nAnswer: 24*sqrt(13) + 9363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 815\/492 + 243\/41. Let f = -4037\/20 + 397\/2. What is the common denominator of l and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 - 6*x**2 - 3*x - 7. Let n(b) = 3*b**3 - 4*b**2 - 2*b - 5. Let f be (-20)\/8*(-4)\/5. Suppose f*v = -v - 15. What is v*p(i) + 7*n(i)?\nAnswer: i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2552 = -4*h, 2 = 2*h - 4. Suppose j = 6*g + 71. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 17 = 4*z - 2*o, -3*z + 2*o = 49. Let x = z - -17. Let v = -35\/253 + -1\/23. Which is the second biggest value? (a) v (b) 8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2256*r - 11. Is p(-4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 637\/6 - 7103\/66. Let q = -9623 + 8939770\/929. Let s = -43687\/7432 + q. Calculate the common denominator of s and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3 - 3. Let f(g) = -g - 5. Let w be f(-7). Let i(s) = -w*s + 0*s + 8*s. Calculate i(h(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*u + 5*u, -4*d = 12. Find the second derivative of -3*k + u*k - k + 2*k**2 + 6*k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53352 and 23712?\nAnswer: 213408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 26*p - 4. Let q(f) = -f**2 + f. Let v be q(1). Solve v*s = -4*m - s - p, -5*m = -s - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1030?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8414 and 69\/14?\nAnswer: 8414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (631\/8203)\/(2\/26)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Let y(m) = 3*m + 40 - 17 - 13*m - 21 + 4*m. Let l(g) = 7*g - 2. Give q*l(k) + 6*y(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -30*t**2 + 4*t**2 + 17*t**2 + 6*t**2 + 6*t**2. Let x(q) = -83*q**2. Give x(r(w)).\nAnswer: -747*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/43373 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + y - 4*y)*(1 - 1 - 2) + 7*y + 62*y + 75*y in the form l*y + p and give l.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(252))**2 + 4.\nAnswer: 12*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o*o**(-4))\/o)**35*o**2\/((((o\/(o*(o\/(o\/((o*o**(-2\/9)\/o)\/o*o)))\/o))\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-596\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/15)*a*a))**10\/(a*a**7*a**(-12)))**(-22) assuming a is positive.\nAnswer: a**(352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*h - 1986*h - 794*h - 539*h + 155520 = 0 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 15, 50, 111, 204, 335, 510, 735?\n\"Answer: m**3 + 4*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1227585, 2455207, 3682821, 4910427?\nAnswer: 6138025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786*l**2 + 3*l**3 - 786*l**2 - 2*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, e: 2, c: 12, l: 1}. Give prob of picking 1 l and 2 e.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 40 + 37 + 63. Solve 12*l - h*l = 2*n + 8, 5*n = -l + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10) - 0 - (3 + 221\/(-85)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -14, 0.2, 913, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + 50. Let r = o + -41. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.9, 2062, 2.4, 24 in ascending order.\nAnswer: -0.9, -0.5, 2.4, 24, 2062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-43\/3))\/d*d**(-14)\/d)**11)**(-44) assuming d is positive.\nAnswer: d**(968\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*z - 4 = -0, 12 = -2*t + 4*z. Differentiate 4*i + 0 - t - 4*i - 3*i**4 wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 3, v: 11}. What is prob of picking 2 v and 1 o?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16345 (base 8) in base 9?\nAnswer: 11128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 - -6. Let i be 9\/(4 + -7) + 4. Let u be 8\/(-4)*(-4)\/(56*i). Which is the nearest to t? (a) u (b) -3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 106966977 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103271081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79712 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29747\/20 + -5259\/4. Let d = -172 + x. Factor -d*s**4 - 3*s + 3\/5*s**3 + 9\/5*s**2 + 6\/5.\nAnswer: -3*(s - 1)**3*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68426*m**5 - 48944*m wrt m.\nAnswer: 1368520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from hlwhjwsbwwswllh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98411595 and 1380?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164282450 and 428?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*d - 17. Let t = d - -33. Let r = t + 14. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714476 divided by -3?\nAnswer: -714476\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4531\nAnswer: -3\/4531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3770 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*2 - (-14 - -18). Suppose -u*n - 112 = -128. Solve -5*j + 28 = -2*k, n*k - 28 = -2*j + 7*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4\/3 - t**3\/3 + 3*t**2 + 3*t = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6713865?\nAnswer: 3, 5, 149197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/35 - 2) + 2 + -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/4 + (-1)\/4. Suppose -3*k = 4*p - 1 - 19, k + 5 = p. Suppose 0 = g*l - k*l. Which is smaller: l or 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in -1\/17, 1, -0.022, 1\/7, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18024)\/(-10) + 10\/(-25). Suppose 3*h - 448 = r. What is h rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 23*d - 2362 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*u - 32*u - 13139 = -294 - 6819 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 915, 3588, 8011, 14178, 22083?\n\"Answer: -a**3 + 881*a**2 + 37*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.58 - -0.535. Let r = s + 0.025. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:18 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 1 - 1 + (k + 0*k + k)*(-5 + 1 + 1) + (-4 + 5 - 3)*(-3*k - 1 + 1) - 413*k - 82*k + 73*k in the form i + l*k and give l.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**7\/840 + w**4\/8 - 4*w**2. Let d(m) be the second derivative of z(m). Let j(p) = -2*p. Calculate d(j(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 371812 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1325652 or -1325579?\nAnswer: -1325652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*b + 13 - 27 - 26*b + 1 as g + i*b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -310*z. Let j(a) = -4*a - 6. Let o(b) = 3*b + 4. Let y(k) = 2*j(k) + 3*o(k). What is y(x(s))?\nAnswer: -310*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 2)**2*-3 - (sqrt(98) + 0)) + -4.\nAnswer: -19*sqrt(2) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -22. Let m = -10 + z. Suppose -m*f + 88 = 5*j, -28 - 28 = -3*j - 4*f. What is the greatest common divisor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from teaeat.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 2*w**3 - w**2 - 8*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000) + (sqrt(3000) - (sqrt(3000) - (sqrt(3000) + sqrt(3000) + 2*sqrt(3000)))) + sqrt(3000))\/sqrt(10).\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043914 rounded to seven dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30107, 120548, 271295, 482348?\nAnswer: 753707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2222564 and 265171.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3485 is divided by 3478.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724227.\nAnswer: 11, 227, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/60 + k**4\/2 + 15*k**3\/2 - 14*k**2 - 4. What is the remainder when 97 is divided by n(-11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 41. Let l(p) = p - 7. What is l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(5 + (5 - 5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/((-12)\/(-9)))\/(60\/80). Let o(g) be the second derivative of -g**4\/12 - g**3 - 5*g**2\/2 - 2*g. Let v be o(l). Solve 2*y + 5 = v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/528 and -47\/6136404.\nAnswer: 270001776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -1 - (-8 + 15)) + (5 + 21 - 17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*s + 11 = 17, -15 = 6*h + 5*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-27))\/((-8)\/48). What is the second biggest value in -3, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-3510))\/((-7)\/(-21))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45047, -90089, -135131, -180173?\nAnswer: -225215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221 - 31332102?\nAnswer: -31333323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10320232 (base 7) to base 4\nAnswer: -3112210213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 0*l**4 - 5*l**4 + (-5*l + 5*l + 2*l)*(-l**3 + 2*l**2 - 2*l**2) - 6*l**4 + 5*l**4 - 2*l**4 + (2*l**3 - 5*l**3 + l**3)*(l + 2 - 2).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1460)\/(-292)*3\/234*1*(-18)\/(-10).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-132)\/60 - -1)*-5. Solve -3*a = -6*a + v - 17, 0 = a + 2*v - m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8285933 centuries in years?\nAnswer: 82.85933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/1196)\/(3\/4)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n**2. Let i(t) = -14*t. Let o(w) = -5*w. Let y(d) = 7*d + 8*d - 5*d + 7*d. Let c be y(1). Let s(q) = c*o(q) - 6*i(q). Give s(p(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1113, 1108, 1091, 1056, 997, 908?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55cb7 (base 16) in base 9?\nAnswer: -585041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.035 + -0.335. Let k = f - -0.37. Let q = 0.0000027 + k. Round q to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -24*u**2 + 22*u**2 - 77 - 23 - 102*u = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - w**2 + w**2)*(-28 - 74 + 28 + (0 - 2 + 3)*(-2 + 2 + 1) + 0 + 0 + 2).\nAnswer: -142*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*b**4*u**3 - 10882*b**4 - 10*b**2*u**2 - 100*b*u**3 - 3*b*u**2 + u + 4 wrt b?\nAnswer: 720*b*u**3 - 261168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {c: 1, z: 3, q: 12}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 814645.06 and 7?\nAnswer: 814638.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -16*o + 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1834*k - 1906*k - 2*k**3 + k**3 - 12 - 2*k**2 + 12.\nAnswer: -k**3 - 2*k**2 - 3740*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*q**3 - 63256*q**2 + 751 + 195 - 2*q**3 + 63235*q**2 wrt q?\nAnswer: -24*q**2 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.292238 + -120.946949. Let n = m + -1.351189. Let k = -59 - n. What is k rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 4*d + 15 - 3*d**2 + d**3 + 4*d**2 - 2*d**2 - 7 as n*d**2 + u*d**3 + l + z*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 2*d**4 - d**3 + (-2*d**2 + 3*d - 3*d)*(5*d - 5*d - 3*d**2) - 2*d**4 + 2*d**4 - d**4 + 4*d**4 - 2*d**4 + d**4.\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77902, -155782, -233662, -311542, -389422?\nAnswer: -467302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16670058 to the power of 1\/2, to the nearest integer?\nAnswer: 4083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 8302. Let m(o) = -10*o + 24907. Let t(a) = 7*j(a) + 2*m(a). Let n = -2 + 2. Let k be t(n). What is k rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3845*y**2 - y**3 + 7691*y**2 - 13*y - 3844*y**2 + 2 + 6 as b*y**3 + d + q*y**2 + h*y and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {r: 2, f: 2, v: 3, w: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 6*x**2 - 7*x + 2. Give w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 213\/142*(-1)\/((-3)\/(-20)). Are d and -3\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 15. Solve v*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-1350)\/(-21))*(-25)\/(-5)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/250 and -21\/3860?\nAnswer: 96500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 3*d - 4. Let l be g(-4). Suppose -167 + 431 = 24*j. Let t be (j + (-9)\/3 + 0)*4. What is the greatest common divisor of l and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 - -875. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + s)*(-3 + 3 - 2*s) + 369*s - 369*s + 960*s**2 + (3*s + s - 5*s)*(s + 0*s + 0*s) - 4*s**2 + 4*s**2 - 2*s**2.\nAnswer: 963*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14*o + 32. Let s(r) = 5*r + 11. Let b(u) = 4*c(u) - 11*s(u). Let p = -39110 - -39109. Let k(x) = -1. What is p*b(j) - 6*k(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -51. What is the least common multiple of z and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4761 - 6639 = -114*x. Which is the third smallest value? (a) 3 (b) -1 (c) 0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -8.\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46226 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214796*v + 190735*v + 1029968*v.\nAnswer: 1435499*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:10 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472197?\nAnswer: 1472197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, 25, 0.3, 40.\nAnswer: -3, 1\/4, 0.3, 25, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.109 and -74.\nAnswer: -74.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*r**5 + 217*r**2 wrt r?\nAnswer: 5700*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 120 = 2*m. Suppose -12*k - 318 = -2*k - 378. Calculate the greatest common factor of k and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/11, 4, 29, -8\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-45)*(19 + 11*17\/374).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*o - 9*o - 14, -4*o - 8 = 4*s. Let i be s*(3 - 1)*82\/164. Let l = 9 + 0. Is l bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -442 - -442.33. Which is the nearest to 1? (a) y (b) -2 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126309 is divided by 776.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**2 + 0 + 0 + 39*i**2 - 19*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 72*m**4 - 21*m**3 + 63*m + 107. Let c(x) = 23*x**3 - 5*x**2 + 5. Give -63*c(t) + 5*j(t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 8*s**2 + 2*s - 15. Suppose c - 11 = l, 131 = 3*c - 4*l + 96. What is o(c)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/10 of a century?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249526\/2117 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 186. Calculate q(-72).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(98)*1 + sqrt(4)\/(sqrt(14)\/sqrt(7)) + 1 + -3 + 4.\nAnswer: -41*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.724?\nAnswer: 1.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:33 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 170 = 2*z, 9*z - 4*g - 340 = 13*z. Let u be (-3*2 - -1)*17\/z. What is the highest common divisor of 17 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -22, -0.4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11194.\nAnswer: 2, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.066 + 0.066. Let g = 246 + -251. Which is the closest to -1? (a) z (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 277000000 to the nearest one million.\nAnswer: 277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 1145, 1705, 2263, 2819, 3373?\nAnswer: 3925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45\/(-6) + 1)\/(10\/(-16900)). Suppose 0 = -c - 5, 5*l + 3*c - s = 5*c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 5*z - 10. Let c be m(-3). What is the remainder when ((-70)\/c)\/(23\/184) is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 6 + 22. Let y = r - -10. Find the third derivative of 6*n**2 + 14*n + 10*n**y - 14*n wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:40 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 17 (c) -0.6 (d) 0 (e) -0.3 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -9. Let v = -17 - -17.03. Which is the smallest value? (a) 3 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*x - 14 - 6, 4*m - 4*x = 12. Suppose -10*h + 7*h + 6 = 0. Let l be h*-2*(-2)\/(-48). Which is the nearest to -1? (a) -1\/2 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 16. Let s(u) = -2. Let q(y) = 22*s(y) + 2*z(y). Let o be q(19). Let x be 2\/(-4) - 1\/2. Sort 5, x, o in decreasing order.\nAnswer: 5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.998 + -0.998. Let c = 0.1 + -0.6. Sort 0, 1\/3, c, i in ascending order.\nAnswer: c, 0, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 22*x**3 + 4*x**2 + 3*x. Let h(p) = 45*p**3 + 9*p**2 + 7*p. Let o = -4100 + 4104. Give o*h(f) - 9*w(f).\nAnswer: -18*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2023 = 6*j - 1799. Suppose -o + 0*a - 4*a + 124 = 0, 5*o = -3*a + j. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/222401820 and -3\/8721640?\nAnswer: 444803640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/3, -0.01, 4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(76)\/sqrt(2))\/sqrt(2))**2*4 + (-2 + -1*sqrt(76))**2 + 5 + sqrt(76) + 0.\nAnswer: 10*sqrt(19) + 2821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**5 + 5*y**3\/3 + 6. What is the third derivative of d(b) wrt b?\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 5*f + 2. Let m be u(6). Suppose 0 = m*v - 9*v + 5. What is the second derivative of 3*t**5 - 4*t**5 + 7*t - v*t wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12868706, -12868709, -12868712, -12868715, -12868718, -12868721?\nAnswer: -12868724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 509 = -5*p, 4*g - 1003 = 4*p + p. Suppose 0 = 2*k + 5*k - g. Let m = -2581 - -2609. What is the smallest common multiple of k and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = f + 16*m, 5*f = 6554822*m - 6554827*m + 65 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + h = 2*h - 85, 0 = 2*h + 6. Suppose -j - 31 - 12 = 0. Let s = q - j. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -23. Let v be -5*(-4 - -3)*t. Factor -4\/13*d**3 - 2\/13*d**v - 2\/13 + 6\/13*d**4 + 6\/13*d - 4\/13*d**2.\nAnswer: -2*(d - 1)**4*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -3941644.\nAnswer: -3\/1970822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -30. Suppose 0 = 2*i - 9 - n. What is x in -x**2 + 3*x - 3*x + 4*x**2 - 6*x - i = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 95*w - 297. What are the prime factors of c(22)?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 6. Let w be g(-21). Let c = -45 + w. Let f(a) = 5*a - 47. What are the prime factors of f(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -113?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/((-71)\/(2982\/(-180)))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891 divided by 297.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f1b - -1?\nAnswer: 4f1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = -d. Suppose -2*n + d = t, 4*t - 5*n - 6 + 0 = 0. Find the third derivative of -3*j**2 + j**t + j**2 + 3*j**2 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = 2*y, y - 2*j + 112 = -4*y. Let m = y + 46. What is the greatest common factor of 10 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 - (89300\/(-987))\/95. Factor -24\/7*q + 0 + k*q**3 - 22\/7*q**2.\nAnswer: 2*q*(q - 12)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -0.5 (c) 2\/7 (d) -931 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = -3*j + 2, 4*r + 12 = -2*j. Let i be -3 - (0\/r + -32688). Let m = i + -46485. Round m to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135692521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-6))\/((-145)\/290).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 3*o - 394. Let t(l) = 40*l - 5. Give t(s(v)).\nAnswer: -40*v**2 - 120*v - 15765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 11*k**2 - 13*k - 14. Let o be t(-11). Calculate the common denominator of 856\/o - (-6)\/(-21) and -23\/33.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181856812.0000001 - -181856791. Let h = b - -21. What is h rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 287\/3. Let m = -15856 - -15860. Which is the closest to 0.1? (a) m (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120067, -120068, -120069, -120070, -120071?\n\"Answer: -n - 120066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1133.9 - -1134. What is the closest to n in -3, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1862\/(-3))\/(188\/(-1410))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - 9. What is o(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**3\/3 + 6*v**2 + 26*v + 25. Let r be k(-8). Let w be -2*(-4 - (-603)\/r). Calculate the greatest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 121122330?\nAnswer: -121122323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.880787 to 3 decimal places.\nAnswer: -0.881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/6225 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5 + 3 - 12*x**2 + 11*x**2 + 8*x - 4. Let n be q(8). Let r(p) = -4*p**2. Let w be r(1). Which is the smallest value? (a) 3\/5 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4538432980 to the power of 1\/2, to the nearest integer?\nAnswer: 67368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4518272878?\nAnswer: 2, 7, 31, 137, 75991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12849*t**2 - 3771*t + 21. Let i(p) = -1285*p**2 + 377*p - 2. Let a(w) = 21*i(w) + 2*n(w). What is the second derivative of a(h) wrt h?\nAnswer: -2574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, h: 1, f: 1, j: 5}. Give prob of picking 1 l, 2 j, and 1 f.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -22\/637, -4 in ascending order.\nAnswer: -4, -22\/637, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 2 (c) -0.08 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by 66?\nAnswer: -124\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-54)\/84)*(-18)\/(-90)*-10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**36*(b**(-4\/27)\/b)\/b*b*b**(-32)\/((b*b*b**(-30))\/b))**5 assuming b is positive.\nAnswer: b**(4300\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let y(i) = 10*i. Suppose 2*x + 3*x + 2 = 2*b, 4*x = 5*b - 5. Let d(l) = b*y(l) + 5*k(l). Let m(r) = 2*r**2. Determine d(m(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 81896 + 22*b + 81902 - 163802 as t + c*b and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykq when three letters picked without replacement from qqqyyqkqyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/30)\/(5\/15).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)\/((s*(((s**(2\/29)*s)\/s)\/s*s)\/s*s)\/s*s))**(-44))**21)**43 assuming s is positive.\nAnswer: s**(5840604\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v**2 - v + 2. Let h(d) be the third derivative of -2*d**5\/3 - 5*d**4\/24 + 11*d**3\/6 + d**2 - 473*d. Calculate 4*h(i) - 22*n(i).\nAnswer: 16*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14324.\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13\/78*-4*(-6)\/(-50)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27186 (base 10) to base 3\nAnswer: -1101021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 equal to 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1742663.72 and -271316.9?\nAnswer: 2013980.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*f**4 + 1586*f**3 - 147*f + 26860264.\nAnswer: -80*f**3 + 4758*f**2 - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 191148325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2297284332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11444230\/71 or -161186?\nAnswer: -11444230\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -1) + (1 - (-1 - (-3 + 2)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*-1.06.\nAnswer: 0.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -4 - 252\/(-56))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325550 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036576142 to the power of 1\/2, to the nearest integer?\nAnswer: 45128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70145 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2163*s + 0 - s + 0 in the form v*s + o and give v.\nAnswer: 2162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 18*s + 12. Calculate w(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8944 is divided by 107?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.635018 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 31124*v**3 + 5*v**2 - 11*v - 6 + 5*v**2 - 31125*v**3. Suppose -4*y = 5*i + 1 - 17, 0 = 3*y + 5*i - 7. Calculate z(y).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -43. Let r(z) = 18*z**2 + 6*z + 1. What is the remainder when o is divided by r(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:32 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(15)*-6*-6)\/((sqrt(40)*-1)\/sqrt(2)))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyg when three letters picked without replacement from ojofoojfgyjgjf?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2620401, -5240891, -7861381?\n\"Answer: -2620490*a + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -13. Let f be -1 - 1 - (m + 5). Suppose -4*c - c + 225 = f. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 8*u + u**2 - 2*u**4 - 2*u to s*u**4 + r*u**3 + g*u + d + o*u**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 + 3)\/((-15)\/1245 + 0))\/1. Suppose -5*d = 2*j + 720, -3*d + 228 = -j + 649. Let f = k - d. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3507546 (base 9) to base 4.\nAnswer: 13032223032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - 0)*(-575)\/(-3). Let k = u + 148354\/129. Let w = k - 661\/516. Is -2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-11)\/(66\/444). Differentiate 0*r - 33*r**3 - 66 - q*r**2 - r + 77*r**2 wrt r.\nAnswer: -99*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/4*(-1)\/(-5)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*b - 33*b**2 + 39*b - 177*b**3 + 180*b**3 + 108.\nAnswer: 3*(b - 6)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41132\/672 + -52 + (324\/6)\/(-6).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6731.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -3*h - 2*i, -2*h + i = -89 - 49. What is the remainder when h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 418, 2, -104.\nAnswer: -104, 2, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 * 22453.701.\nAnswer: 105532.3947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 93*j - 91*j - g, g = -8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -11\/4. Let x = -160\/77 - -26\/11. Let n(p) = -p**3 - 3*p**2 - 1. Let r be n(-3). What is the biggest value in y, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 568.24572 hours?\nAnswer: 3.382415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 14) to base 3\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/((-9)\/5 + 2). Let u(v) = v**2 + 8*v + 11. Let o be u(0). Let y be 8 + o - (-3 + -2). Calculate the highest common divisor of w and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1)\/sqrt(11))\/(sqrt(216)*-1 - sqrt(6))*3*-3*2.\nAnswer: 18*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 16*r**2 + 6*r + 5. Give x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i + 13. Let m(k) = k - 17. Let d be m(i). Let h = 37 + d. Solve -2*a - 2*a = -5*b + h, -12 = -2*b - 3*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*86\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6453*-0.3\nAnswer: -1935.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 192, 3\/5, -16, 1\/39 in decreasing order.\nAnswer: 192, 3\/5, 1\/39, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*b - 355 + 314. Solve 4*s = -16 - 4, 0 = -2*j - s - b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13876423401 - 0.07916?\nAnswer: -13876423401.07916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 + 0*q**2 - 3*q - 5*q**2 + 5*q**2.\nAnswer: -16*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*u + 4884, -2*u + 2 = -4*u. Let v = 60 - w. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 + 1058*m - 41. Calculate q(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69265519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 + 8*s - 4. Let r be b(7). Suppose r*l - 579 - 351 = 0. Suppose -6*o + l = -2. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 3, p: 1, i: 2}. What is prob of picking 2 i, 1 u, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2, 0.4, 386?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119 (base 12) to base 4.\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000042314 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 24 = -5*k, -n - 8 = -226517*k + 226514*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1541609178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 - q - 22. Let x(f) = -2*f**2 + f + 15. Let w(g) = -5*u(g) - 8*x(g). Let t be w(6). Solve -t = 3*r + r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/961 or 0?\nAnswer: 2\/961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 746462 from 0.026.\nAnswer: -746461.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-378)\/4)\/7. Let w = p - -43. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 421, -4, -2, 6 in decreasing order.\nAnswer: 421, 6, -1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18820 is divided by 9402?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -13*k**5\/20 - k**4\/6 - k**3\/3 - k**2\/2 - 31*k + 11. Let p(t) be the first derivative of h(t). Give p(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13*y. Let p(k) = -704722*k. Give i(p(o)).\nAnswer: -9161386*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 12173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(475) + sqrt(475) + (sqrt(19) - sqrt(475)) + 0 - ((3*sqrt(76))**2 + -3 + 2).\nAnswer: -683 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2209230539\/1988741 - 57\/86467. Let a = y + 1112. Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -29, -6, -386, 2, 5 in increasing order.\nAnswer: -386, -29, -6, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1956324, 1956323, 1956322?\n\"Answer: -v + 1956325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - (-12)\/7. Let v be (i - 0 - 1) + 1. Let n = -16 - -22. Solve 0*z + v*b = -3*z + n, 4*z = 5*b - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990697 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 139*q + 1546. Let k be s(-11). Solve -12*i + 15*i - 2*w - k = 0, -i + 1 = 4*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21211 - -21000?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -562 - -567 - (-1 - -2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/77 and -37.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 2547435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 5*m**2 + 6*m + 8. Let z be i(6). Suppose t = 66 + z. Suppose -2*l + t = -34. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321*c + 1316*c + 99 = -5*b + 14, -3 = -3*c - 9*b for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 2\/13 (c) -33 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2619 and 610518?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-14) - (-2)\/(-7). Suppose -22 = -d*q - 16. Solve -2*h - 2 = -0*t + q*t, 18 = -2*h + 2*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214694596 to the power of 1\/2, to the nearest integer?\nAnswer: 14652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**3*q**2 - 33*i**3 + 4*i**2*q - 3*i**2 - 42*i*q**2 wrt i?\nAnswer: -60*q**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10457369.\nAnswer: 13, 883, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -861971.27 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 900 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21727 + 21733. Solve -2*z = c - x*z - 20, 6*c = 5*z + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - -4.5. Let b = 270 + -272. Put b, 1\/2, j, 4\/5 in ascending order.\nAnswer: b, 1\/2, 4\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 42\/189653, -1?\nAnswer: 42\/189653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/5 + 7*t**3\/6 + 20*t**2 - 2*t + 10796. Let z(n) = n**3 - 8 + 2 - 2*n - 7 + 0*n**3. Determine 2*c(g) + 7*z(g).\nAnswer: -g**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y**2 - 2\/15*y**3 - 3 - 1\/4*y**4 + 0*y. Let l(s) = 0. Calculate s.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -87, 0.2, -27 in decreasing order.\nAnswer: 2, 0.2, -27, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k\/k**(-1\/10))))\/(k*k*k**(2\/11))*k**(-7\/2)*k*(k**(-3\/10)*k)\/k*k assuming k is positive.\nAnswer: k**(-207\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36373356 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*v - 34*v - 2*v**3 - 13 - 44*v + 171*v + v**2 + v**4 - 38*v to the form i + y*v + a*v**2 + g*v**3 + w*v**4 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 429764 and 429764 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2518 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 17*w**2 + 36*w - 22. Let u be q(-19). Solve 0 = -12*d + u + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/7081650 and -19\/3.\nAnswer: 7081650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + 22. Suppose -4*t = 7*t - h. Solve -5 = -t*d - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - d + 9 = 0, -3*k - 2*d + 0 = -9. Suppose -5*j + k*t - 511 = -0*j, 0 = -2*j + 5*t - 212. Let a = j - -121. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3629 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, -14, -62, -112, -164, -218?\n\"Answer: -c**2 - 43*c + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2978202 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1642 - 1594. Calculate the greatest common divisor of 624 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 0*v + 60 - 2*v in the form h + b*v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 2, -3, -1, 14.\nAnswer: -3, -1, 2, 5, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10, -3*r = -5*r + q + 10. Suppose r*s = s - 13030. Let j = s - -1626. What is j rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*f - 32, -11 = -3*f + 1. Let t be 2\/10 - (-4)\/5. Solve -i*v + h = -11, -v + 5*h = v - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 11*a**2 + a + 6. Let w be y(11). Suppose 5 = 2*x + w. Let q(u) = u**3 + 6*u**2 - 3. Give q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -39*c**3 - c**2 - 5*c + 7. What is i(1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6984 - -6988. What is the biggest value in b, 3\/2, 3, 54, -2?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.13.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**3 - 2\/3*h**4 - 12 + 7*h + 0*h**2. Let u(q) be the first derivative of m(q). Find the second derivative of u(z) wrt z.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, c: 1, u: 3, l: 1, f: 1, m: 2}. Give prob of picking 3 f and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 137*h*t**2 + 5*t**2 + 16 wrt h.\nAnswer: 137*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 31*w - 10. Let a be s(-15). Suppose a - 30 = -5*m. Suppose -2*b - 4*h = 12, -m*b + 26 = -3*h - h. Solve -b*r - 8 = -0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10776, -21370, -31784, -42018?\nAnswer: -52072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 77.3 - -0.7\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(880) + sqrt(55))*-6)\/(1*sqrt(99))*-6.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-1)*(-10)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 12, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3140.69 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 9*v**2 - 2*v - 4. Give c(10).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*j = -22, -4*j + 10 = -c - 2*c. Suppose -4*l - 28 = -4*g, 2*g - 18 = c*l - g. Calculate the lowest common multiple of 7 and 28\/3 - (-1)\/l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1359814 and 4201602.\nAnswer: 5561416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2613639 and 9891?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 6, 15, 42, 93, 174, 291?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/150199 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 6910871.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1809153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = -4*t - 0, t - 2 = -d. Suppose -3*y = -t*p - 76, -2*y = -0*y + 2*p - 34. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*u + 10 = 0, 2 = 2*x + 2*x - u. Let h(j) = -7*j**2 - 140*j - 446. Let t be h(-16). Find k, given that x*k + 2\/9*k**t + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*r = -10, 2*d + 2*r + 0 = 10. Suppose d = -n + 35 + 556. Let s = n - 232. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 + 4*q + (-1 - 1 + 5)*(-5 + 4*q + 5) to the form f*q + z and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02626733 to 4 dps.\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 9*a**2 - 11*a + 12. Determine b(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-15 - (16 - 18)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -2 + (-14 - (-16 + 0)) + 6 + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/83049 and -56\/3999.\nAnswer: 3571107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than -540\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74989*o**4 - 47*o**3 + 11*o**2 + 3*o - 60753?\nAnswer: 1799736*o - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10776802 and 1706?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - n = -0*n, -4*r + 3*n + 21 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 - 72*j**2 + 156*j - 80 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127 in -0.04, -1.1, -1\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10422.1 + 10422. Put -4, a, -3 in descending order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 98 + 90 + 73 - b + 2*b - 294 + b**2. Give z(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11972922 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 9. Let g = t + 1.1. Let m = 6.897 - 6.397. Which is the closest to 1? (a) g (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (38\/(-76))\/(1\/(-216)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x + 39. Let f be w(-6). Suppose 136 = u + f*u. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -107 (b) 2 (c) 1 (d) 16 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -11. Let j = 12 - o. Let a be ((-24)\/(-18))\/(2\/j). Solve 0 = 3*b + 4*c - 7, -a*b + 0 = 3*c - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + a = -3119, -13*i - 2*a + 7784 = -8*i. Let w = 2199 - i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + 42. Let w = -55 + r. Calculate the highest common divisor of 26 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (8 + -5 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (0 - -13))*-4. What is the remainder when 79 is divided by 45\/(-12)*p\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 50.79\nAnswer: -43.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.911 - 1.511. What is the second smallest value in -0.12, 1, 7\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4614 and 834666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-12 + -1) - (84 - (86 - 28))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -295941096 divided by -1628\nAnswer: 181782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*q + 334936 = 341137 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196938 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 1.\nAnswer: -11, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.9 + 13. Let z = n + -1. Let w = z - -0.4. Which is the second smallest value? (a) -2\/3 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*k**2 - 49*k wrt k.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2260*m**2 + 6*m + 8. Let s be i(-3). Round s to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 3:50 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 + 1\/(-2)*-6 + 4*-1. Let p be ((-136)\/5)\/((-1)\/5). What is the greatest common factor of q and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lololoowolollwowwww?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1 + 1. Let k be ((-10)\/(-56))\/((-3460)\/5536). What is the second biggest value in k, -0.1, g, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.5 - 12. Let f = n - 5. Let x = -1.7 - 2.3. Sort -2, f, x in increasing order.\nAnswer: x, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.78114 micrograms in nanograms?\nAnswer: 65781.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/20)\/(2\/(-15)))\/(21\/56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 404903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4260157, 4260156, 4260155, 4260154, 4260153?\n\"Answer: -m + 4260158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1377*y**3 - 182584*y**2 - 2*y + 322482436.\nAnswer: 4131*y**2 - 365168*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 4*m - 9. Let p(y) = -y**2 + 2*y - 4. Let l(f) = 3*d(f) - 7*p(f). Let o be l(2). Let h = o - -5. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*y + 26*y + 51 - 7*y to the form u + w*y and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/1463? (a) 108 (b) 1 (c) -4\/5 (d) -1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94173 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*c + 18 = 0, 4*c + 16 = -0*c. Suppose -4*y - y - 4 = -3*w, 5*y = -t*w - 20. Let j = 2 + -4. Is j greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.069 and 380 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:30 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2841529, 17, -4 in increasing order.\nAnswer: -4, 17, 2841529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14\/13, -1\/3, -10, 13 in descending order.\nAnswer: 13, 3, 14\/13, -1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -387 + 385. Let o be 50\/(-125) + 104\/210. Sort -4\/11, o, v in descending order.\nAnswer: o, -4\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -f + 6*n, 98*f + 2 = 121*f - 5*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 18*t**2 + 17*t + 60. Let m be n(19). What is the highest common divisor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Let t = h + 2. Suppose -t*g + 18 = 3*x, 2 = -g + 5. Which is smaller: x or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 936, 2164, 3894, 6132?\nAnswer: 8884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 + 7*d**2 + 18*d**2 - 3*d + 10*d**2 - 8*d + 6*d**2.\nAnswer: 13*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -0.03. Let i = 0.25 + d. Let j = 2.7 + i. Which is the third smallest value? (a) j (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -23, -37, -53?\n\"Answer: -c**2 - 9*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7)*42\/(-18). Sort 2\/5, f, -4 in descending order.\nAnswer: 2\/5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 339 and 2147?\nAnswer: 6441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 45632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135128.00027 + -135138. Let s = x - -10. What is s rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17566? (a) 5 (b) -34 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142707*c**3 + 42241*c + 1.\nAnswer: -856242*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1)*16\/6. Let m = 3 + q. Let r = 18 - m. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69912 is divided by 1146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/459 and 19\/238.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -4 + 5 + 0 - 0. Let o(a) = -a + p*a - 5*a + 4*a. Let n(k) = -1. Let m(r) = -r**2 - 3. Let c(u) = m(u) - 3*n(u). Calculate c(o(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m*p**4 + 10533*m*p**3 - 91*m*p**2 - m*p - 21*m + p**4 - 2*p**3 + 2*p - 1 wrt p.\nAnswer: -72*m*p + 63198*m + 24*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-3)\/9*4. Suppose 2*o = c - 8. Let t = 29 + o. Calculate the greatest common factor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from {n: 3, u: 6, w: 7, q: 1}.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)*i\/((i\/i**(-10))\/i*i) assuming i is positive.\nAnswer: i**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-6)*156\/(-130).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0064005 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -436 (c) -0.3 (d) 3\/7 (e) 47 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 - -2.84. Let i = g + 0.36. What is the closest to 0 in 2, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 - 10*c + 12. Let s be r(8). Let a(m) = -79*m**3 + 6*m**3 - 5 + 33*m**3 - m**2. Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -44*i + 2737. Let u be p(34). Solve 1234*q - u*q = 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*b = 20, 0*w - 38 = -w + b. Let r = 67 - w. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/4 - 271*m**2\/2 + 1619*m\/4 - 539\/2 = 0. Calculate m.\nAnswer: 1, 2, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-27))**(14\/5))**(-4) assuming s is positive.\nAnswer: s**(1512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -540 + 889. Let g = n - 2445\/7. Which is the nearest to -1\/3? (a) -5 (b) 0 (c) g (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -511 (base 6) to base 12\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258458 plus -172810856?\nAnswer: -171552398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13 - -3)\/(1 + -3). Suppose -n - 16 + 53 = 2*g, m*n + 2*g = 169. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18254\/9 - 2028. Which is the nearest to 1\/10? (a) -0.1 (b) -1\/30 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 357 + -359. Let t be 4*(-1)\/(-10) + (-18)\/90. Let z be (-3)\/2*2\/(-24). Sort 0.3, z, y, t.\nAnswer: y, z, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.48 + 74.29108. Round o to three decimal places.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(4\/(-78)). Let c(u) = -u**3 + 12*u**2 + 11*u. Let p be c(w). Let v = p - -43. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -10, 3\/139, -9, -6 in increasing order.\nAnswer: -21, -10, -9, -6, 3\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -15312.032 to the nearest one hundred.\nAnswer: -15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2016 and 882?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236630 - -342357. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (2 + 6)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/364 and 41\/14.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39100 - 39070. Solve -g*l = -27*l + 5*k - 25, -4*l + 3*k = 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.2132 years in millennia?\nAnswer: 0.3762132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -140, -2, 10, 1, 1\/13 in descending order.\nAnswer: 10, 1, 1\/3, 1\/13, -2, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23220 - 1031?\nAnswer: -30311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 252503, 1010059, 2272653, 4040285, 6312955, 9090663, 12373409?\n\"Answer: 252519*v**2 - v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y - 363 + 10 - 162 - 22*y.\nAnswer: -9*y - 515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/20 + s**4\/4 - s**3\/6 + s. Let j be i(2). Suppose h = -4*h + 15. Solve z - j = -h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1520336 * -20\nAnswer: -30406720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7445 + 7478. Solve z + x*z = -204 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 5*y - 2. Let f be g(-4). Calculate the common denominator of (-51)\/(-48) - 2\/(-4) and (6\/20)\/(f\/23).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4346786?\nAnswer: 2, 2173393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-10))\/(1110\/(-27750)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 5*f**4 - 24*f**3 + 4*f**2 + 32*f.\nAnswer: f*(f - 2)**2*(f + 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5344 + -784. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 2)*(-2 + 2 + 3)*(-23*q + 79*q - 64*q - 24).\nAnswer: -120*q - 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102585.042877 + -102585. What is d rounded to 3 decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q - 3992 = -4160 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0455 (b) -1\/5 (c) 46.7 (d) 0.5 (e) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5559352 divided by 6?\nAnswer: -2779676\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*z - 28 = -333*z. Suppose -2*f + 5 = h, 0*f - f - h + z = 0. Is f != 3\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.157191 - -4.\nAnswer: 4.157191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -550 - -549. What is the smallest value in 2\/17, -2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -5\/12*o**4 + 0 + 2\/3*o**3 + 0*o**2 - 3*o. What is the second derivative of t(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 5. Let n be x(-9). Let t = -17 - n. Which is smaller: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*w - 0*w - 31, 0 = 2*j + 2*w - 14. Suppose -5*m + 0 = l + 3, 3*l - 4*m = j. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/509410 and -41\/42100?\nAnswer: 5094100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11550, -11418, -11286, -11154, -11022, -10890?\nAnswer: -10758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 199?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 - 3.8. Which is the nearest to 0.1? (a) 2\/19 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y - 40. Let u(j) = -6*j + 41. Let l(r) = -6*t(r) - 5*u(r). Calculate the remainder when l(3) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-153) + ((-915)\/170 - -5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -30*o**5 + 25*o**4 - 15*o**3. Let v(n) = n**5 + n**3. Let b(c) = -d(c) - 10*v(c). Determine k, given that b(k) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 8. Let v = -4 - -11. Let r be h(v). Let a = -1 + r. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 878223?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = 129 - 174 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/20)*(-225)\/(-18). Let d(l) = -l**2 + 7*l - 2. Let v be d(-6). Let m = v + k. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11513076?\nAnswer: 2, 3, 71, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 2248.\nAnswer: 2248.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264288, 264287, 264286, 264285, 264284?\nAnswer: 264283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 13*q + 5. Let j be s(-20). Let p be j\/(-9) + 1\/(-9). Let d = p + 189. What are the prime factors of d?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-5)*(-10)\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*t**4 - 2*t**3 - 27*t**2 + 4*t wrt t?\nAnswer: 2688*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -18*i - c + 36705994, 73411982 = 2*i + 3*c. Round i to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*x = 3*x - 5, -4*n - 3*x + 48 = 0. Let u = n + -1. Solve 7*k - u*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x + 1. Let f(g) = g**3 + 11*g**2 - 13*g. Let l(w) = f(w) + 5*v(w). What is the least common multiple of 4 and l(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 38 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 49. Suppose -3*n + 8 = -5*z - a, -3*n = 4*z + 13. Which is smaller: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - 29 = -155 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -12. Suppose -30 = -5*c - 3*v, -2*c - 4*v = 3*c - 35. Let o = c + -1. What is the highest common divisor of w and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-600)*-4)\/(11\/33)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - n - 7 + 16 as s*n + m and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1382785417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/17, 0.04, -1 in decreasing order.\nAnswer: 0.04, -4\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w - 8. Let y be f(4). Let j = y + -2. Differentiate -j - 6 - 6*r**2 - 2*r**2 + 0 with respect to r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 s when three letters picked without replacement from eeeerasarsea?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 1, -12, -27, -44?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/11)\/((-48)\/96)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2653024806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 55*z + 1. Calculate the remainder when f(2) is divided by 2\/(-2) + 0 + -2 + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -326, -328, -334?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-17)\/(-3))*-3. Calculate the common denominator of -3 + 686\/(-77) + 7 and ((-21)\/(-6))\/((-18)\/r).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15ac40 - 10?\nAnswer: -15ac50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233207\/14 + -16665. What is the common denominator of 41\/22 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83446, -83467, -83502, -83551, -83614?\nAnswer: -83691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 623682996 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -330013 (base 4) in base 11?\nAnswer: -2988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*v**2 + 750*v**2 - 2 + 749*v**2 - 1942*v**2.\nAnswer: -22*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1117, -1061, -1005, -949, -893, -837?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*f - 104*f = -w - 84, -4*w - 5*f = -35 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 984 = 4*z - z, -2*z - 1661 = -5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32547121 <= -32547121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268117 to the power of 1\/2, to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(sqrt(57) - sqrt(1425))\/sqrt(3).\nAnswer: 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 134556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1524708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 0 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n*o*x**2 + 5*n*o*x + 7*o**2*x**3 + 191*o**2 - 4*x**3 + 2*x wrt x?\nAnswer: -2*n*o + 42*o**2*x - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 64 = 84. Solve 4*n + 4*a = k, 3*n = 2*a - 4*a - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 70 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2\/4 - 249*o\/4 - 855 = 0.\nAnswer: -12, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8025*k - 176582 - 793079 = 4568*k for k.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.3, 2\/61, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvbvbbyvyyvb. What is prob of sequence yvyv?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - 2*o**2 + o**3 - 3*o**3 + 0*o**2 + 0*o**2 as z*o**2 + y*o**3 + h + w*o**4 + f*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35784)\/(-5964) + (1 - 1*7). Let f(q) be the third derivative of 1\/54*q**4 + 36*q**2 + 1\/270*q**5 + 0*q + 0*q**3 + j. Suppose f(g) = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*d**3 + d + 72*d**3 - 148*d**3 - d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 17 + (-12 - -8) - (2 + 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 289009031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -522086527*s - 425540637?\nAnswer: -522086527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 47*p - 688. Determine l(39).\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-16))\/((170\/12)\/(-17)))\/((-11)\/5)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*k - 2138 + 367 = 0. Let h = -2 - -3. What is the greatest common factor of k and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(8\/(-2)))\/(3\/72*102)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*k - 380*k + 191*k)*(6*k - 2*k - 3*k).\nAnswer: -136*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-12)\/4 + 23 - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 4654825*o\/2 - 21667395780625\/4.\nAnswer: -(o + 4654825)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.2, -3\/5, 9\/13, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -f + 5*v + 28, -2*f + 20 = v. Suppose 0 = -f*g - 1173 + 5169. Calculate the greatest common divisor of 37 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, 1\/9, 0.5, 720, 1 in ascending order.\nAnswer: -22, -4, 1\/9, 0.5, 1, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0.05. Let d = 17 - 19. Which is the closest to v? (a) d (b) 0 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*c**3 + 65*c**2 - 33*c**2 - 32*c**2.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 45752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079930081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87679351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4.1. Let j = -57\/145 + -6\/29. Is j greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**3 - 3*k**2 + k - 2. What is the remainder when (238\/4816*43)\/((-2)\/(-112)) is divided by r(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148\/99 - 14\/11. Let 2\/9*g**2 + y*g + 0 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/5 + 9*d**2\/2 + 8*d. What is the first derivative of l(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 648290.3 to the nearest 100.\nAnswer: 648300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, -12, 6 in increasing order.\nAnswer: -12, -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/100 - 3*g**5\/100 + g**3\/10 + 16*g**2 - g. Factor b(a).\nAnswer: -3*(a + 1)**2*(2*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 57 + 15*b - 5 - 9*b. Let x be q(-8). Suppose -2*j + 419 = 3*r - x*r, 2*j + 3*r - 415 = 0. What are the prime factors of j?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (-7 + -4 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 1533*s**6\/10 + 3781*s**2\/2 - 2423*s - 1. What is the derivative of h(g) wrt g?\nAnswer: 18396*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-500)\/(-6)*(-1206)\/(-5025).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*u**2 - 19*u + 45*u - 23*u.\nAnswer: -142*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1980480 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7686*s - 315*s + 6345*s - 556*s)*(0*s**4 - s**4 + 2*s**4).\nAnswer: 13160*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 58, 91, 124, 157, 190, 223?\n\"Answer: 33*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**4 - r**3 + 9*r**2 + r - 1. Let z(i) = -45*i**4 + 150*i**3 - 240*i**2 - 1350*i - 795. Let q(x) = 20*t(x) - z(x). What is h in q(h) = 0?\nAnswer: -1, 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabbpbbpp. Give prob of sequence bbpp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2\/5, 4, -3, -17949\/2, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 611513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -746962*u. Let j(o) = 7*o**2. Determine p(j(g)).\nAnswer: -5228734*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59724 rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 22491144.\nAnswer: -19\/22491144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (40 + -3 + -87).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*p + 1 = 0, r - 4*p + 11 - 30 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m + 1. Let v be m\/(3 + 33\/(-12)). Suppose v*j = -44 + 140. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41337.\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3862, 3729, 3512, 3217, 2850?\n\"Answer: q**3 - 48*q**2 + 4*q + 3905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-17 - -32) - 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 3, 9, 0, -5.81?\nAnswer: -5.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Suppose 0 = 2*p + 3 - 1. Let o be (5 + 3 - i) + p. Which is smaller: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/15 + 259*h**2. Let n(m) = -265*m. Give c(n(a)).\nAnswer: -280900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let k(p) = -25 + 66 - 41 + 17*p**2. Determine x(k(o)).\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575 = -5102*x + 5147*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 2 - 59152*g**2 + 55*g - 2.\nAnswer: -59152*g**2 + 60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -193*2200.69\nAnswer: -424733.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 495368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/21 and 62\/321?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 42*j**3 - 15*j**2 - 924*j.\nAnswer: -3*j*(j - 11)*(j - 7)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 10*t + 0*t**2 + 97 + 58 - 35 + 0*t**2. Let p be o(-17). Solve -3*s - 2*w = -1, 2*s - 4*w = -7*w - p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b6d (base 14) to base 7.\nAnswer: -31366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q + 530. Let s be (-363)\/(-5) + 2\/5. Let v = q - s. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adadgdaaadnd. What is prob of picking 1 g and 1 d?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, 2335, 0, -5\/2?\nAnswer: 2335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197124199 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223433 and 15281?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -14*n**2 + 57*n + 367. Calculate o(-6).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 4 + 15\/(-4). Put m, 0.4, 0.01 in descending order.\nAnswer: 0.4, 0.01, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*v + 14. Let w be (v\/12)\/((-52)\/(-18654)). Let z = -239 - w. Is z <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -64. Suppose -4*x + 176 = -l*x. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*c + 4*f + 6, 4*f = -16. Suppose 50 = 10*h - c*h. Is 4 a factor of 456\/20 + 2\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110411 to 3 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:41 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26\/130)\/((-1)\/(-10) - 0). Let x = 19 + -11. Factor 4*u - x*u**g + 18*u**2 - 11*u**2 + 5.\nAnswer: -(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73530161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 2, q: 9, o: 3}. Give prob of sequence iuiq.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/120 - 5*u**4\/24 + 11*u**3\/12 - 164*u**2. Factor g(o).\nAnswer: -(o - 1)*(o + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h. Let o(y) be the first derivative of -47*y**3\/3 - 606. Determine o(q(n)).\nAnswer: -1175*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7092 + 7115. Sort 4, 1, 2, j.\nAnswer: 1, 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -611 - -859. Is p a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/q**(1\/8)))\/q)\/q)\/(q*q\/q**(-11)*q) assuming q is positive.\nAnswer: q**(-119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -53, -101, -187, -323?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401376 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -185, -370, -555, -740, -925, -1110?\n\"Answer: -185*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538\/(-9415)*(-70)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -412847000 to the nearest one million.\nAnswer: -413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33659283443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/10 + -267\/5. Let j = -51 - i. Calculate the common denominator of j and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(56) - 4*sqrt(1400))\/sqrt(7))\/(sqrt(256) + -3*sqrt(16)\/sqrt(4)))**2.\nAnswer: 847\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06078*0.03.\nAnswer: 0.0018234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*x = 4, -r - x = -4*r + 9. Suppose w - 15 = -3*u, 2*u = -4*w - w + 23. Put w, r, 4 in ascending order.\nAnswer: r, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -136*(0 - -1 - 2). Suppose l = 2*x - 2*v, 5*v = 8*x - 4*x - 275. Suppose -4*i = -27 - x. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 44, 91, 154, 233?\n\"Answer: 8*v**2 + 7*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/6 + (-239)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/(-130) - (-16949)\/(-85)*4\/564?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361 - 49*q + 359 - 321*q)*(4*q - 15*q - 11*q).\nAnswer: 8140*q**2 + 44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**4 + 14272*q**3 - 71516*q**2 - 200088*q = 0.\nAnswer: -3573, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**4\/14 - 8*r**3\/21 + 55*r**2\/7 - 100*r\/7 + 877. Factor t(b).\nAnswer: -2*(b - 5)*(b - 1)*(b + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4128, -3567, 1680, 11613, 26232, 45537?\nAnswer: 69528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 7*g - 6. Let s be x(-6). Suppose s = 3*d + j - 74, -102 = -4*d - j - j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 0 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 1, s: 1, g: 2, m: 1, y: 2}. What is prob of sequence mgr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9404425.\nAnswer: 5, 113, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624 and 75520?\nAnswer: 2945280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {v: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 0.3 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*h = 16, -3*h - 26 = -5*q + q. Suppose 29 + 1 = -z - q*o, -31 = z + 4*o. Let d = -4 - z. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - sqrt(24)*6) + ((sqrt(60)\/sqrt(2))\/sqrt(5) - sqrt(6)))\/((sqrt(120)\/(sqrt(15)\/sqrt(3)))\/(sqrt(8) - (2*sqrt(512) + sqrt(512)))) + 3.\nAnswer: 3 + 253*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 864 + -844. Solve -6*z - n = -2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(3 - 3 + 1)*(4*p + 0*p - 109*p).\nAnswer: -210*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/7 - z + 10\/7 = 0 for z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*y - 1057*y - 4*l + 28 = 0, y + 5*l - 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (10 - -10) + -7 + -2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w - 15*w - 11*w as n + t*w and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -358 + 1235. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.434 + 1162449?\nAnswer: 1162684.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 15. Let m be l(0). Suppose -5*q + m = -5. Solve 5*b = f + 1 + 9, 3*f - q = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*r)*(4 + 7 - 5)*(-2 + 0 - 32).\nAnswer: -408*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -128*z**2 - 19965*z + 469. Calculate t(-156).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 30*w**2 - 287*w - 2991. Give s(-13).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -378, 8 in descending order.\nAnswer: 8, 4, 1, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Let k(s) be the third derivative of -s**6\/360 + s**4\/8 - 2*s**2. Let q(y) be the second derivative of k(y). What is q(i(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -16. Suppose 111 = 5*j - h. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 + (2 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12451 at most -12146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 j when four letters picked without replacement from jnejeeejnjej.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 11) to base 3\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 80. Let v = 202 + t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) - (0 + sqrt(1377)))**2)*5 - sqrt(1377) - sqrt(1377)) + sqrt(1377).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369913222.99999984 - -369913263. Let x = -9743 - -9783. Let l = c - x. Round l to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1333 - -1348. Let s(r) = -r**2 + 15*r - 23. Calculate s(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-14))\/(4\/(-16)*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4873832?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 8:15 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 18 + (3 + 3 - 5) + 56 - 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -3\/7, 0.2, 2\/81, -3 in descending order.\nAnswer: 27, 0.2, 2\/81, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f\/(f**(-1\/3)*f))\/(f*((f**(-2)*f)\/f)\/f*f*f*f*f\/(f\/(f*f*f\/f**(1\/7)))*f) assuming f is positive.\nAnswer: f**(-74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*f + 283*f = 5*j - 225, 2*f - 438 = -4*j. Calculate the remainder when f is divided by 39.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k - 2*k**2 - 1 - 5 + 4*k + k**2. Let i be z(-11). Suppose -i*t - 5*c = -25, -4*t - 2*c + 6*c = -12. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhf when three letters picked without replacement from {v: 5, f: 10, h: 4}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123623902 + 0.5.\nAnswer: -123623901.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + f - 11 = 0, 0 = 3*t + 112*f - 115*f + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1. Let t(f) = -f**2 - 3*f + 447. Let m(s) = t(s) - 5*z(s). What are the prime factors of m(0)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -934*a + 570. Is t(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + 4) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 5. Let u be h(3). Let j = -2 + u. Let s(t) = 735*t - 19. Is s(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225025069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71*p**2 + 96*p**2 + 156*p**2)*(0*p**2 + 3*p**2 - p**2) in the form n*p**2 + x*p**3 + o*p + w + v*p**4 and give v.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -8215.011676?\nAnswer: 8215.511676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -27. Let c be 1 + 0 + 5\/(-3). What is the nearest to a in -2\/11, c, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1908\/60)\/((-26)\/(-195)*(-3)\/(-58)) is divided by 243.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5380790131 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.9. Let t = l - 1. Sort -1\/3, -2\/13, t.\nAnswer: t, -1\/3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g - 5*k - 1180, 2*k = g - 292. Calculate the highest common factor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 75*h - 5625.\nAnswer: -(h - 150)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -205*g**4 + 6*g**2 + 15 wrt g.\nAnswer: -4920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*j - 6582 = -72*j + 57*j - 21882 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 + 7355*h - 29436 = 0. Calculate h.\nAnswer: -7359, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 835603021?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/2)\/(6\/(-54)). Suppose 2*w + w = -2*h + 18, -3*w - s = -h. Solve y + 4*y + h = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6315393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1610 + 801 - 806*c**2 - 1838*c**2 + 810 as i + j*c**2 + y*c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -981 - -905.9. Let j = t + 79.1. Which is the third biggest value? (a) 0.1 (b) j (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**3 - 139097*y**2 - 5276308*y wrt y?\nAnswer: -12*y - 278194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 12) in base 5?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 + 13978.\nAnswer: 13976.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 245959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1134\/(-294) - (-1 + 1 + -5) and 81\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k - 5. Let d(c) = 3*c + 33. Let v be d(-12). Let s be 3*((-195)\/63 - v). What is the closest to 0 in -2, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*y**2 - 10 - 1931*y**2 + 10 to q*y**2 + v*y + n and give q.\nAnswer: -2062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11779, -11778, -11775, -11770, -11763?\n\"Answer: n**2 - 2*n - 11778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10302.\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363743 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - z**2 - z. Determine k(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 4b?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 2, y: 3, x: 6}. Give prob of sequence yx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3364104?\nAnswer: 2, 3, 140171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291551*q**3 - 1016*q**2 - 991*q.\nAnswer: 1749306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427778154.\nAnswer: 2, 3, 23765453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245651 is divided by 245615?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 57 - -13 - ((22 - 20) + 15)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 11*k - 22. Give r(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30295521?\nAnswer: 3, 43, 78283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -1\/2, 0.5, 226, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 11*q - 14. Let j be x(9). Suppose 12 = 8*f - j*f. Sort 0, f, -7 in decreasing order.\nAnswer: f, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35004104 (base 6) to base 13\nAnswer: 2b7aca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -l. Suppose 3*f = -i + l, 2*i = 5*i - 2*f - 3. Let x be (1 - 0)\/(i\/(-87)). What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -0.3, 60, -0.28, -5, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(117) + (sqrt(117) - (sqrt(117) + (sqrt(117) + -1 - sqrt(117) - sqrt(117)))) + -5 + (1 + sqrt(117))**2.\nAnswer: 12*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18792, -18977, -19208, -19485, -19808, -20177?\nAnswer: -20592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 5, c: 8}. Give prob of sequence mc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-6)*(-36)\/(-56)*335\/(-670).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from bwwwbbk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4 - 489822*b**3 - 4408479*b**2 = 0.\nAnswer: -9, 0, 489831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/5, 3\/4, -7, -3, -60\/127 in decreasing order.\nAnswer: 3\/4, -1\/5, -60\/127, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/4)\/((-19)\/(-76)). Let m be 2\/(g\/(-180)*-2). Let i be m\/30*(-30)\/4. Calculate the greatest common factor of 18 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.38622 millilitres to litres.\nAnswer: 0.00838622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let c(t) = -t**2 + 13*t - 8. Let q(d) = -c(d) + 4*i(d). Let x be q(8). Suppose 5*w + x*k = k + 115, 3*w - 2*k = 76. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.26097 * 0.1217\nAnswer: -0.031760049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009653134866 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*f - 6)*(-4*f + 6*f + 0*f)*(-f + 3*f - f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 13*q + 27. Let p be d(-13). What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 7040, 3754, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 12:36 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137223 and 6399?\nAnswer: 1235007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-100))\/(23\/115). Let s = -34 - -37. Which is the closest to w? (a) -4 (b) -75 (c) 0.1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5\/2, -36 in descending order.\nAnswer: 5\/2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(10\/680 + 1\/(-4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -190, -3\/14, 28\/3?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11))**(-15)*(x*x**9*x)**(-42) assuming x is positive.\nAnswer: x**(-5112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251\/56 - 1\/56. Let y = 220.469 - 222.469. Which is the smallest value? (a) v (b) -2\/17 (c) 1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3*48\/(-32). Find the third derivative of 3*d**4 - 3*d**4 - 76*d**q + 24*d**5 + 60*d**2 wrt d.\nAnswer: 1440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 1641 - 3947 = 29524. Calculate the remainder when y is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 - 12 = 0, -2*w = 5*x - 34. Let d(h) = -h**2 + 5*h - 1. Calculate d(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 48 = w - 36, -4*w = 4*a. Solve -2*o - 2*m = -w, -o - 18*m + 9 = -23*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -578*g**5\/5 - 3264*g**4\/5 - 3996*g**3\/5 - 584*g**2\/5 + 654*g\/5 - 72\/5 = 0.\nAnswer: -4, -1, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46340 divided by -11585?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 3, b: 3, h: 1, v: 1, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 974 - 3895\/4. Let l = 16\/23 - 66\/161. Which is the nearest to w? (a) -5 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 209 = -214 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-2)\/(-8)*-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.71703808 to one dp.\nAnswer: -25.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2\/2 + 1126287*w\/2 - 59710065 = 0.\nAnswer: -375535, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(-4*w - w - 3*w) - 1 + w**2 - 2*w**2 - 1.\nAnswer: -9*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muum when four letters picked without replacement from ummmmmmummmmm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:27 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 + -417472?\nAnswer: -417422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3082 is divided by 1021.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2770, 6209, 9648, 13087, 16526, 19965?\n\"Answer: 3439*a - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 6\/37 (c) -2\/7 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -717700 - -1?\nAnswer: -7176bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(19) + 3 - (4*sqrt(76)\/sqrt(4))**2.\nAnswer: -301 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-2)\/(-2) + 6. Let o(f) be the first derivative of -3*f**r + f**2 + 6*f**3 + 7 - 2*f**3 - 2*f**2. What is the second derivative of o(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 955 - -718. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*l + 5, 12*i + 4*l + 14 = 7*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -457258 divided by -2?\nAnswer: 228629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + (-23 - (-3553)\/153)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (-6*sqrt(612) + sqrt(612) - sqrt(612))**2)*-4.\nAnswer: -88128 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280299230.\nAnswer: 2, 5, 17, 251, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5 - 7. Let l = 0.176 + -0.246. Put 2\/11, 2, t, l in ascending order.\nAnswer: l, 2\/11, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69187 and 6543803?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54 and -0.443280565.\nAnswer: -54.443280565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 50 - 8 = 0. Suppose 11*t = f*t + 24. Suppose -2*b + 4*b - 12 = 3*s, -2*b + s = -8. What is the highest common divisor of b and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/330 + 3*p**4\/22 - 27*p**3\/11 - 245*p**2. Let v(l) = 0. What is l?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 123*j + 64*j + 64*j.\nAnswer: 4*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123606883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-4))\/(10\/200). Calculate the highest common factor of i and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56320 and 745580.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5900 + 5898. Which is the fifth smallest value? (a) -1\/5 (b) -1 (c) -5\/16 (d) 1\/5 (e) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*2997\/(-18315)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.5, 0.1, 0, 123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 231, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 30\/7 (b) 1\/4 (c) 0 (d) -5 (e) 226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 17*i + 15 = 29*i, 233*q - 4*i = 228*q - 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2, 1, 0.2729, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + (-1176)\/(-63). Let h(s) = -3 - u + 350*s - 333*s - s**2. Let d be h(15). What is the greatest common divisor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 84*b**2 + 1764*b + 6860.\nAnswer: -4*(b - 35)*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0*o**7 + 0*o**6 + 17\/8*o**8 + 6 - 169\/12*o**4 + 2*o + 0*o**2 + 0*o**5 + 0*o**3. Find the third derivative of n(z) wrt z.\nAnswer: 14280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*g - 15, k + 6 = -k + 3*g. Let l = k - -6. Suppose 4*m - 33 = l. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 76966.41 grams?\nAnswer: 76.96641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.2707.\nAnswer: -0.10828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 8*q**2 + 4*q + 4. Suppose -y - 6*y - 21 = 0. Let k be f(y). Suppose 5*b - 4*p - k = 45, -p + 38 = 2*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40889?\nAnswer: 31, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -3 (c) -2 (d) 0.041 (e) -7 (f) 6\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 - -152. Let k(i) = 1. Let w(n) = -14*n + 3. Let o(z) = -k(z) - w(z). What is the remainder when 46 is divided by o(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*y - 195*y - 85*y - 618*y - 415*y + 409*y.\nAnswer: -1472*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 + 560*b**4 - 2*b**2 + 946*b wrt b?\nAnswer: -60*b**2 + 13440*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11567747 plus -206.5?\nAnswer: -11567953.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = m. Suppose 2*f = n + 142, 2*n + 73 = m*f - 138. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 35*o - 230 = 70 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -1\/120*m**6 + 0 - 3\/4*m**4 - 43*m**2 + 0*m + 17\/3*m**3 - 4\/15*m**5. Calculate the remainder when z(-15) is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3 and 27?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010338476511 rounded to seven dps?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167244 divided by -12.\nAnswer: 13937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/10 + 6\/(-15). Let m(r) = 618*r - 24083. Let h be m(39). Which is the nearest to h? (a) 0.3 (b) 1 (c) 0.1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -98278?\nAnswer: -19655.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*x - 7 = 1, 20 = s - 4*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 14. Let j be t(3). Sort 3, 2, 5, j.\nAnswer: j, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-4) - (-3 + -1 - 4). Suppose c = -4*y + 16. Suppose -j + 3*u + 105 = 0, -3*j = 2*j - y*u - 564. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 18\/22 + (-6453)\/(-99). Suppose -432 = -h*p + 61*p. What is the greatest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*d*t*z - c**2*d*z - 9485055*c**2*t - 2416*c*t*z + 63*d*t*z - t*z - 37*t wrt c.\nAnswer: 2*d*t*z - 2*d*z - 18970110*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/((-36)\/(-84))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 94 + -424 + 282.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55493 not equal to 55494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.75, 0, -28, -1209\/38, -2\/7 in descending order.\nAnswer: 0, -2\/7, -1.75, -28, -1209\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16690596 a multiple of 582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -687*u + 679*u. Let c(l) be the third derivative of -1\/40*l**u + 0*l - 1\/240*l**6 + 0 - 5\/12*l**3 + 12*l**2 + 3\/16*l**4. Factor c(p).\nAnswer: -(p - 1)**2*(p + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 670 - 2?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1891.635\nAnswer: -1891.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -22265007 in ascending order.\nAnswer: -22265007, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102.7 + 98.7. What is the biggest value in z, -2\/33, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/108 - 538\/(-12). Calculate the highest common factor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 2*l)*(-295 + 127 + 2111*l + 168).\nAnswer: 4222*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 82*k + 339492 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51305?\nAnswer: 5, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32*(-30)\/50*((-1505)\/42)\/(-43)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 0.35. Let f be (4 + (-3 - -2))\/((-12)\/(-8)). Let p be (2\/5)\/(f + (-6)\/5). What is the third biggest value in 2\/3, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - 51*l**2 + 2*l - 32. Let y be d(17). Solve 3*n - 4*m = 17, -y*n + 3*m + 7 + 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jccjfjyxbfjjjj. Give prob of sequence yxc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 258.631601 to zero decimal places.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((33475\/2472)\/25).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 124. Let y(b) = 342*b + 236*b + d - 282*b. Is y(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w**2 + 88*w + 172. Give q(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -407.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x + 8. Let v = 65 + -67. Let t(l) = 2*l**2 - l - 9. Let y(s) = v*t(s) - 3*w(s). Solve y(k) = 0 for k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:42 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -723*r**4 - 6*r**3 + 12*r**2 + 6*r + 477. Let q(p) = 2*p**4 + p**3 - 2*p**2 - p - 1. Let j(z) = 6*q(z) + s(z). Differentiate j(g) wrt g.\nAnswer: -2844*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 11. Let r be k(-11). List the prime factors of ((5 + r)*1)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by 724.\nAnswer: -79\/724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(80) - -2*(sqrt(80) - sqrt(80)*-3))*3.\nAnswer: 3 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:25 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l - 5. Let z(v) = 4 - v - 36 + 14 + 9 + 8. Determine -t(k) + 3*z(k).\nAnswer: 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -14*h + 220. Solve -5 = -5*g - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214 (base 7) in base 11?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = q, -i + 3*q = 0. Which is greater: -13 or i?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -79. Suppose -4*q = -3*q - 26. Calculate the highest common divisor of g and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18)*93 - 14\/21. Suppose 2*n - 5*w = -5 - 14, -5*n + m = w. Solve -5*x + n*x - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8575 is divided by 358?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2*o + 6)*(2*o - 12*o - 11*o) + 6*o**2 + 6*o**2 - 5*o**2 to m + d*o**2 + z*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-15 - -11 - (-4 - 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b. Let k(v) = 1282674*v - 112695. Let a(o) = -683*o + 60. Let i(m) = -7513*a(m) - 4*k(m). Determine i(n(w)).\nAnswer: 6147*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x. Let c = 0 - -2. Let q(v) = 0*v**2 + 0*v**c + 0*v**2 - v**2. What is q(y(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 40\/(-25)) + -3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530658 is divided by 2111?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -383 + 252. Let h = q - -130.8. What is the closest to -1 in h, 2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72568, 290127, 652704, 1160293, 1812888, 2610483?\nAnswer: 3553072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9856 + 2372 - 809)*(-1 - b + 1).\nAnswer: 8293*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -29*g - 2. Let o(h) = 20*h**2 + 27*h**2 + 23*h**2 - 75*h**g. Let y(u) = -4*u. Determine y(o(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2 - -1) + 26. Let q = 32 - b. What is the second derivative of -i**q + 10*i - i - i + 6*i**2 wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 5. Put -3, -1, g in descending order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2181b4 (base 16) to base 2.\nAnswer: -1000011000000110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-616)\/112*(-2)\/(-3)*2*120\/320.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, v: 5}. What is prob of sequence vq?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 983.2 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = 4. Let o(r) = -107*r - 358. What is the remainder when o(-4) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 66. Suppose -l - 4*z + 10 = -20, -129 = -5*l + z. Calculate the remainder when l is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 3. Suppose 0 = 2*g - 4*z + z - 24, 4*z - 14 = -5*g. Suppose -104 = -2*i - 2*i. Let j(n) = -17*n**2 + 13. What is g*j(r) + i*w(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.62 + -0.62. Let d = 2 + -2.1. What is the nearest to d in f, 5, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2))**2 + -2 - (sqrt(19)*1 + -3).\nAnswer: -sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**7\/140 + y**6\/80 + y**5\/40 - y**4\/16 - 10*y**2. Find v, given that c(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Suppose -3*l - 7 = 14. Let u be 21\/l - (-13)\/5. Sort p, 0.1, u in decreasing order.\nAnswer: p, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.863? (a) 4 (b) 1774 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -154\/23 (b) 1\/2 (c) 8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 212812*g**2. Let c(b) = 165*b**2. Determine r(c(u)).\nAnswer: 5793806700*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-18) - (-158)\/(-12). Let u(f) = f**3 + 14*f**2 + 13*f + 18. Let t be u(x). Find the first derivative of -t*v**4 + 152*v**3 + 10 - 152*v**3 wrt v.\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in -4\/3, 127, -1.8, 5, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-49)\/42)\/(630\/(-162)))\/6?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 19\/3*k**2 + 4\/3 + 5*k**4 + 8\/3*k**3 + 4\/3*k**5 = 0. What is k?\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/60 - r**4\/24 - r**3\/6 - 2*r**2. Suppose -2*g = 2*g - 8. Let i = g + -2. Give x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from gggggqqqqg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 23*j**2 + j + 2. Let g(a) = 2*a**2 - 4*a + 2. Let c be g(2). Let x be q(c). Let u = x - 51. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11)\/a*a\/a**(2\/11)*((a\/a**(-1\/2))\/a)**(-2\/25))\/(a\/(a**(-1\/6)*a)*a**(-2\/5)\/a*(a**(1\/2))**13) assuming a is positive.\nAnswer: a**(-4678\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2, -0.07, -3, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -303.4 (b) -1716 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430*z = -1428*z - 3*x - 22, 2*x + 7 = 3 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -9. Let r(i) = i + a*i - 2*i. Let p(k) = 12*k - 13*k - 5*k. Calculate p(r(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 3*j - 1. Let f be s(4). Let k = -5 - f. Suppose -2*c + 72 = -k*c. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 6*x + 6. Suppose 2*d - 8 = 4*d. What is r(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83139 divided by -321?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s + 61*s + 389 - 34*s + 171.\nAnswer: -2*s + 560","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 2. Let g(s) be the second derivative of s**5\/20 - s**3\/6 - s**2\/2 - 9*s + 6. Let i(h) = 9*h**3 - 6*h - 6. Calculate o*i(b) + 6*g(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150599145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 5*a**8\/56 + 8*a**4\/3 - 6*a. Find the third derivative of y(o) wrt o.\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((3 - 4125\/243) + 14)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 48. Let n = v - 334\/5. Let j = 2 + -7. What is the second smallest value in j, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(sqrt(300) + sqrt(300)*-4)\/(-6*(sqrt(12)\/sqrt(2) + sqrt(6))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 + 10*y**4 + 42*y**3 + 46*y**2 + 16*y.\nAnswer: -2*y*(y - 8)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, -0.0639, 1\/9, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 + 32*s - 132 = 0 for s.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 6160?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.73 + -0.86. What is y rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/3)*a\/((a\/a**22*a)\/a)*a\/a**(-1\/14)*a*(a\/(a\/(a\/(a*a**33*a*a)*a)))\/a*a)**(-3\/5) assuming a is positive.\nAnswer: a**(347\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 7 + 7)*(9*f**3 - 446*f + 448*f + 1 + 32*f**3).\nAnswer: 164*f**5 + 8*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166058183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 - 2436 = -4*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -21. Let f(m) = m**3 + 6*m**2 + m - 2. Let p be f(-6). What are the prime factors of 162\/8 - w\/p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12385 (base 14) in base 12?\nAnswer: 21995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 11, -53, -3 in increasing order.\nAnswer: -53, -3, -0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*b**2 + 93*b**2 + 563*b**2 - 26*b**2 as j*b + c*b**2 + u and give c.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6743 is divided by 3057.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1376917.9999952 + 1376917. Let x = 1 + d. What is x rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66525 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.81 + -7. Let q = k + 0.49. Sort -4, q, 4.\nAnswer: -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let r(y) = 4*y + 8. Let o(j) = j + 3. Let x(m) = 11*o(m) - 4*r(m). Calculate -9*v(z) + 2*x(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a3 (base 11) in base 10?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - 1 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3)\/3 + 0. Let i be (g - 0) + 15\/(-25). Let v = -4 - -2. Which is the nearest to i? (a) -0.5 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k = -118 + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4 + (-1 + 0 + 2)*(-4 + 1 + 1))*(-3*l**3 + 2*l - 2*l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0 + 1\/45*m**6 + 1\/30*m**5 - 1\/18*m**4 - m - 1\/9*m**3 + 0*m**2. Factor t(z).\nAnswer: 2*z*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(847)*2 - sqrt(847))*6)**2 + (3 + (1 + sqrt(847))**2)*1.\nAnswer: 22*sqrt(7) + 275279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13221100 + 0?\nAnswer: -13221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.23721736 rounded to 1 decimal place?\nAnswer: 40.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 19*t**5\/20 + t**4\/24 + t**3\/6 + 4*t**2. Let c be o(-1). Let p = -22 + c. Calculate the greatest common factor of 14 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*v + 26, -2*v + 28 = 5*p + 2*v. Suppose 3*a - 6 = -4*k, p*a - 6 = -2*k + 2. Factor -j**2 - 2*j**2 - j + 4*j**a.\nAnswer: j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - i**2 + 1)*(145 + 149 - 438 + 144 + 5711*i).\nAnswer: -5711*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z - 5*a, 2*z - 9 = -z - a. Suppose 7 = 5*h - z. Suppose d + 4 = 4*p, 0*d - h*d = -4*p + 8. Solve -5*y - 30 = 5*i, -3*i = -p*y - 4*y - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.739 + -5.28. Let i = -14 - s. What is i rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -1 (c) -0.4 (d) -0.06 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k. Suppose -t - 3*t + 8 = k. Suppose 0 = 3*u + 9, -5*u - 34 = -t*q - u. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 25 = 5*u, 6 = 5*t - 2*u - 4. Let m(r) = -r - 4. Let k be m(t). Let i be 3 + -5 + (0 - k). Solve 12 = 3*y - 5*h - 12, 0 = -3*y + i*h + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 490988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*d - 4*x + 155, -3*d = 3*x - 135. Suppose 0 = n + 3, 2*q - 1 = n + d. Solve u = -28 + q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s + 11*s**2 + 0*s**3 - 5\/24*s**4 + 31\/84*s**7 + 9\/16*s**6 + 55\/672*s**8 + 5\/24*s**5 + 0. Factor f(m).\nAnswer: 5*m*(m + 1)**3*(11*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 270 + 921 = -5*f, -2*m + 671 = -f. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:03 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-120)*784\/1372.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19278 is divided by 429?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-25))\/(30 + 117402\/(-3910)) - 15.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 600\/37 + -1874\/111. Put -33, 7, 0, d, 6 in decreasing order.\nAnswer: 7, 6, 0, d, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8448247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:28 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.17 to 1 decimal place.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let q = n + -1. Let a = q + 0.1. What is the closest to a in 0.5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2717 - 3263 = -14*z. Find the common denominator of 22\/93 and z.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13002 (base 6) to base 5\nAnswer: -30241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.125 times 1.194124\nAnswer: 0.1492655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -642913, -642912, -642911, -642910, -642909?\n\"Answer: c - 642914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9549 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 53*u - 314. Calculate the least common multiple of 10 and y(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 50*r - 109*r**3 + 213*r**3 - 16 + 12*r**2 - 105*r**3. Let u be f(14). Is 291 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*y**2 + 6*y**2 + 8*y**2)*(-y + 3 - 4 - 1) to f + l*y**3 + k*y**2 + v*y and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, 0 in descending order.\nAnswer: 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2286018\/73 or 31315?\nAnswer: 31315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1303597 - 916543.\nAnswer: -916542.8696403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -406.06371 and -7?\nAnswer: 399.06371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/13908 and -25\/342.\nAnswer: 41724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11111110100110011110?\nAnswer: -11111110100110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/(q\/(q*q**14)))\/(q\/(q**13\/q)*q*q**8))**44 assuming q is positive.\nAnswer: q**(2156\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*s + 28 = 4*t, 0 = s - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 2*v**4 + v**5 + (-3*v + 0*v + 2*v)*(-3*v**4 + 4*v**4 + 5*v**4) - 4*v**5 + 2*v**5 + 4*v**5.\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, -0.1296?\nAnswer: -0.1296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.2 - 5.8. Let j = i + 33.00000015. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -334.9 - -334.7. What is the nearest to -3\/7 in s, 33, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.02, 4\/7, -5, -35\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 1\/3*x**3 - 2 - 1\/2*x**2 - 2*x. Solve u(a) = 0 for a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 4, s: 2, e: 3, r: 4}. What is prob of picking 1 r, 1 q, and 1 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 720\/(-128) - (-2 - 52\/(-32))\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/21)\/(12\/(-14)). Let n = 8418\/7 - 1203. Which is the second biggest value? (a) -0.2 (b) l (c) -9 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.2 + -120.2. Let q = 99.098 + a. Round q to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 2416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5893356 = -5*m + j - 9006645, -4*m = j + 11919999. Round m to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/(w\/(w*w*w**(5\/2)*w*w*w))*w\/w**(-1\/5)*w*w**(-6\/5)*((w*w\/w**(-3\/4)*w)\/w**4)\/(w**(-1\/2))**(-24) assuming w is positive.\nAnswer: w**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4643 + 197 = 0. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**29)**(-35) assuming b is positive.\nAnswer: b**(-1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(95)*-4 - sqrt(95))*2)\/(sqrt(40)\/(sqrt(512) + sqrt(512)*-1 + sqrt(512))).\nAnswer: -208*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 5*k**2 + 9*k**2)*(0 + 0 + 1)*(-1 - 19*k + 21*k - 22*k).\nAnswer: -60*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + 12349*i**2\/2 - 38155304*i + 380935840.\nAnswer: -(i - 12344)**2*(i - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8401450 to the nearest 10000.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183313699*d**2 - 157794233 with respect to d.\nAnswer: 366627398*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1 + 8 + 0 - 5*u. Let s be w(7). Let h = 40 + s. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46, 113, 198, 295, 398, 501?\n\"Answer: -k**3 + 15*k**2 + 29*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -34*k - 25*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*c - 0*c - 6, 2*k - 4*c = -4. Let j be ((-28)\/(-5))\/(6\/15). Solve 0 = z + 2*n + 11, -z + k*n + j = -n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y - 1. Let p be f(-2). Let c = p + 9. Solve -4*a + 5*w + 2 = -5*a, -4*a - c*w = -10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 13 = -3*s + 2*s, 4*s - 28 = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/14)\/(2\/7). Let q = -4 + 8. What is the greatest common factor of q and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/5640 and -169\/60.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -9, -4, 5, 2 in descending order.\nAnswer: 6, 5, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 12*u**2 - 29*u - 1. What is the remainder when k(-14) is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 49, 94, 155, 238?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i + 6. Let p be j(7). Let x be 4\/18 - p\/54. Let w(z) = -z**2 - z + 2. Let h be w(0). Is h >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0231537 rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 2*j - 6. Let v be f(6). Let k = v - 3. Find the common denominator of -119\/6 and 84\/(-16) - k - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t. Let q(u) be the second derivative of 2*u**3 + 32*u. Calculate q(v(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 649, 2068, 4835, 9400?\nAnswer: 16213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 660 in decreasing order.\nAnswer: 660, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39219504 and 12.\nAnswer: 39219504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28600 and 352.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11 from -55242.11578.\nAnswer: -55242.00578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(5 + -1 + (10553\/183 - 101))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Let s be z + -3 - (2 + 3). Is -3 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -135*y**5\/4 + 285*y**4\/4 - 32*y**3 + 6*y**2 + 41*y + 2. Factor v(p).\nAnswer: -3*(p - 1)*(15*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 2. Let m be w(-4). Suppose 7*h = m*h + 60. Suppose -2*o = -6*c + 4*c - 214, -3*c = -4*o + 429. What is the greatest common factor of o and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + 0 - (-50430)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1948297*u - 13638078. What is w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -k - 22. Let v = k + -8. Let 15*r**2 - 2 + v*r**4 - 10 - 7*r**4 = 0. What is r?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13769*b - 13769*b + 35*b**2. Let k(w) = -4*w**2 - 5*w. Let n(h) = -4*h**2 - 6*h. Let l(p) = 6*k(p) - 5*n(p). Give l(x(s)).\nAnswer: -4900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642152?\nAnswer: 2, 7, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208940188.\nAnswer: 2, 19, 23, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3717*i**3*m - 120*i**3 + 2*i*m**4 - 35*i wrt m?\nAnswer: 3717*i**3 + 8*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4 + (-5 + 5 + 2)*(2 - 3 + 3) - 3 + 0 + 5)*(-18*l + 27 - 27)*((-2 + 1 + 3)*(-2 + 5 - 5) - 7 + 2 + 0).\nAnswer: 1134*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 8*q - 13. Let v be u(-7). Let h = 505 + v. List the prime factors of h.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57, 68, 67, 48, 5, -68, -177, -328?\n\"Answer: -x**3 + 18*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250416197.\nAnswer: 3, 73, 211469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1080 and 1030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 497814 minus 2?\nAnswer: 497812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 426\/10 + (-10)\/(-25). Suppose -11 = m - l. Suppose -m = -3*z + z. What is the lowest common multiple of z and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69749\/640692 + -6\/1369. What is the common denominator of -117\/28 and c?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205 and -15931?\nAnswer: 3265855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q. Suppose 0 = k - 2 - 1. Let l = 2 + k. Let u(v) = -2*v - l + 5. Determine p(u(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 9138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36608*l - 36608*l - 424*l**2.\nAnswer: -424*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + 2 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/12 - 5*k**4\/6 + k**3\/6 - 18*k**2. Is p(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 13133939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7 - 4*r**3 + 4*r + 6 to the form w*r + i + q*r**2 + m*r**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 391687, 783372, 1175057, 1566742, 1958427?\n\"Answer: 391685*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 5*y - 5. Let v(r) = 2*r**2 - 7*r + 1. Let h(b) = b**2 - 3*b + 1. Let c(l) = 3*h(l) - v(l). Give -7*c(x) - 3*o(x).\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3841 + 34630\/9. Find the common denominator of 98*2\/16*(-20)\/(-10) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f + 1. Let g be i(-1). Let d(s) = g - 2*s**3 + 0 - 7*s**2 - s + 9*s**2. Calculate the remainder when d(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 4, -1.0105, 5, 2\/27, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 6900?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2002 or 1975?\nAnswer: 2002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) 8 (c) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87421*l + 87426*l - 65 = 3*k, 0 = 2*l - 4*k - 68 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 2, h: 1, b: 1, w: 2, g: 1}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.219 - -16.519. Is o bigger than -1050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3\/2 - 114585*j**2 + 96939655*j\/2 + 97398015 = 0. What is j?\nAnswer: -2, 429, 45407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 227296669*t. Let q(s) = -2*s. Determine h(q(n)).\nAnswer: -454593338*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -5*a. Let i be 5\/(-15) - a\/(-3). Solve -3*s - 3*q = 15, i*s - 2*s - 3*q = 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 116, -2, 2, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 423001001*-0.1\nAnswer: -42300100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 728 = -4*u, u + 187 = -y + 5*u. Let p = y - -189. Solve 2*m + 3*a = -6, -1 = -m + a + p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let c(v) = l*v - 3 - v**2 - 4*v**2 + 4*v**2. Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 4, 6, 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2334 + -1078. What are the prime factors of t?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**3 + 47*k**3 - 9*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -18 - (15 + -14 - (7 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 963943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3442556, -3442529, -3442476, -3442391, -3442268, -3442101, -3441884, -3441611?\n\"Answer: p**3 + 7*p**2 - p - 3442563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -358.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 12800.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - u + 497 = 0, -3*u - 1187 = -2*p - 173. List the prime factors of p.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 10*f**3 + (2*f + 3*f - 3*f)*(-3*f**2 + 7*f**2 - 3*f**2))*(0 + 2*f**2 + 0) + 4*f**4 - 4*f**4 - 8*f**5.\nAnswer: -24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2207000 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 157424 and 8160.\nAnswer: 80286240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 not equal to 303619\/602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**3 - 7*q - 5. Let t(k) = -5*k**3 + 6*k + 4. Let v = 4 - -1. Suppose v*x - 34 = -2*h, -5*x + 32 + 4 = 3*h. Let p = x - 2. What is p*f(m) + 5*t(m)?\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 - -7.5. Let q = x + -2.7. What is the second biggest value in -0.4, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*n - 5881 = -3*q, -2*q + n = -2923. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*m + 50*y - 31 + 255, 0 = -2*m + 4*y for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 14. Suppose 14 = 5*p + g. Suppose 3*b = 3*t + 1272, -p*b + 6*b - 5*t - 1701 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - -4 - 5) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2967\/824 - -5\/206. Suppose g - 2*h + 6 = 0, 0*h = h - 4. What is the common denominator of t and 627\/104 - g\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.62 to zero dps.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-432)\/(-1872))\/((-2)\/4).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:02 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {t: 2, e: 2, q: 2, j: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263329.1 nanograms to milligrams.\nAnswer: 0.2633291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640 a factor of 48065120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27833145 a multiple of 985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34864496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1021?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/64282 and -40\/7.\nAnswer: 449974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t - 3 + 3. Let j(s) be the first derivative of 3 + 0*s**3 + 1\/6*s**4 + t*s**2 + 0*s - 2\/15*s**5. Determine g, given that j(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*a - 656*a - 4*y - 202 = 0, -48 + 20 = 4*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259 and 21.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2261 and 242647?\nAnswer: 548624867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w + 7. Let b(d) = -42*d + 36. Let u(x) = -2*b(x) + 11*v(x). What is u(11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - -1 - (26 + -21 - 14)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 30*k - 18*k - 13*k + k**3 - 3*k**2 - 9. Let y be t(4). Suppose i + 80 = -3*d + 468, d + y*i = 140. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 476509.44.\nAnswer: 476510.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**4 - 2*b**3 - b**2*q - 2028*b**2 - 224*b*q - 12*b - 2*q + 2 wrt b?\nAnswer: 72*b**2 - 12*b - 2*q - 4056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-32) - (0 + 35\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*b - 5*m - 0*m, -3*b - 30 = 3*m. Let z be b\/((4 + -8)\/2). Suppose -z*q = -2*q - 32. Calculate the remainder when 47 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/11 - 279*z**3\/11 + 3837*z**2\/11 + 2503315*z\/11 + 2499198\/11 = 0. What is z?\nAnswer: -78, -1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23382.29 from -462924.\nAnswer: -439541.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156794\/45087 + 3\/2147. Is -2 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(0 - -1)*-1. Suppose 4*k - 2 - 10 = y. Suppose -q = 1, 3*q - 24 = -k*u - 0*q. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40341 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 + 3 + 96)*(n + n + n)*(2 + 0 + 0)*(-n + n**2 + n).\nAnswer: 1344*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 35. Give d(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -1 + (-13)\/6. What is the third smallest value in -3, -3\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**2 + 41*a + 196. Does 3 divide k(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14887013.\nAnswer: 19, 783527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2099921 - 0.21. What is l rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) - 43043\/(-43). Let x = f + -971. What is the lowest common multiple of 48 and x?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/12*(1 - -5). Let b be (j\/15 - (-74)\/24)*4. Let w be 10\/25 - 12\/b. Which is smaller: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7, -4, -612?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.00092 - -49. Round k to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 13577186 in increasing order.\nAnswer: 3, 4, 13577186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4990.30273 + 4747.304. Let f = 5.58 - 248.58. Let w = f - p. What is w rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16678 (base 11) in base 7?\nAnswer: -125222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 954*c**3 + 802*c**2 wrt c?\nAnswer: 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 19*f**2 + 13*f + 12*f**2.\nAnswer: 37*f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19461?\nAnswer: 3, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1353 and 40139.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10201 (base 3) to base 8\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7589, 30548, 68851, 122498, 191489, 275824?\n\"Answer: 7672*p**2 - 57*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-115710)\/(-45))\/38)\/((-8)\/(216\/(-63)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j. Suppose 0 = q - 3*q + 3*i + 107, 4*i + 4 = 0. Let r = q + -50. Let m(a) = -20*a**3 + 22*a. Calculate r*m(z) + 44*d(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19684 - -1.80316. What is the second biggest value in w, -194.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 4. Let q(o) = -o**2 + 1. Calculate 2*k(f) + 2*q(f).\nAnswer: -2*f**2 + 2*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifffffifiyfiififyf. What is prob of picking 1 y and 2 i?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -7, 0, -0.1, 330.9, 11, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4654201 milligrams to nanograms.\nAnswer: 465420.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1584261216 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(0 + (-798)\/49) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4 + 6*k**3 - 28*k**2 - 6*k + 27 = 0.\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45)\/6)\/(-5)*4. Suppose 3*o = a, -2*o - 3*o + 16 = -2*l. Let q(n) be the first derivative of n**4\/4 + n**3 - n**2\/2 + 3. Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/58 and 17\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 658 and 2604.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(2\/4))\/(67\/(-67)). Let w be 8\/6*1\/(y\/(-3)). Let g be 0 - w\/(-2) - -4. Solve 7 + g = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*w + 89*w - 1650917 = 0. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:01 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1069 + 24*o - 5*o - 1066 to the form h + w*o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -40 (b) -3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezwevqzq. What is prob of sequence zzv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12437 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 1\/2*b**4 + 2*b - 4\/3*b**3 + 8 + 1\/2*b**2. Let t be x(2). Sort 0, 1, t.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -331cb0?\nAnswer: -331c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 3 - 3)*(-m + m + m**2) + (-6*m**2 + 2*m**2 + 17*m**2)*(2*m**2 + 2*m**2 - 5*m**2).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 24*g = -76 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 91 = 4*p - 149, 5*q = 0. Suppose -d + u + p = -0*u, 3*d - 201 = -4*u. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9493 + 11729. What is the greatest common divisor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/30*(-10)\/4*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 358231.\nAnswer: 13\/358231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -v + 38, l = 3*v + 2*v - 60. Suppose 4*u - 1 + v = 0. Put -4, 2, u in descending order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 884 + -898.68. Let d = 0.32 - p. Let l = d + -12.8. Round l to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (-365)\/(-730)*(-7 + 157)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*(b**(-5)*b)\/b*b)\/(b*b**2*b*b*b**3)*(b**(-2\/5))**(-14\/3)*b**(-1\/5)\/b**(-2\/9) assuming b is positive.\nAnswer: b**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*w**3 + w**2 - 490*w**3 + 354*w**3.\nAnswer: 151*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 15. What is the units digit of (-3)\/(-6) + b\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-13)\/(195\/15))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5880 = -1042296*h + 1042380*h for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -44. Suppose -i = i - n. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l - l)*(2 - 1 + 0) - 5*l - 1 - 1 - 91*l.\nAnswer: -94*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 2006711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -2\/7469, -3, -6.\nAnswer: -6, -3, -2\/7469, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*k = 16 + 4, 3*d - 5*k = -14. Let l be (d + -1)\/((-187)\/(-11)). Let y(m) = m**3 + 2*m**2 - 1. Let u be y(-2). Is l equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3514956?\nAnswer: 2, 3, 499, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 30*b - 0*b + 182 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 499*o**5 - 9*o**3 - 102*o + 12. Let v(q) = 125*q**5 - 2*q**3 - 25*q + 3. Let g(l) = 2*n(l) - 9*v(l). Find the second derivative of g(b) wrt b.\nAnswer: -2540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 424*w + 7 - 4*w**3 + 3*w**3 - 421*w + 4*w**2. Let m(q) = -2*q**2 + 21*q - 35. Let k be m(8). Calculate y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2723*x**6 - 2679*x**5 + 2*x**2 - 34913548 wrt x?\nAnswer: 326760*x**3 - 160740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/85 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-39)\/12)*-4. What is the remainder when -1*(-13 - -2)\/b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:25 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 10*g - 3*v, -5*g - 377 + 279 = -2*v for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*z - 10, 0*z - 3*z = -l - 5. Solve 3*j + 16 = -l*d, -3*d - 2*j + 3*j = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 97 (c) 20\/17 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 2. Let r(x) = x**2 + 8*x + 3. Let y be r(-6). Let q be m(y). Suppose -4*p - 4*b = -q*b - 943, 4*p + 5*b = 935. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q + 6*q + 3*q**2)*(0*q**2 - q**2 + 0*q**2) - 627*q**4 - 721*q**4 + 1423*q**4 to m*q**3 + l*q**4 + p + h*q**2 + w*q and give l.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/2389225 and -1\/40?\nAnswer: 19113800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1169296, 2338611, 3507926, 4677241, 5846556?\n\"Answer: 1169315*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 2 - 5\/(-4). Let l = -8639.06 - -8639. Let p = -9 - -8.8. Which is the nearest to m? (a) l (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 1)\/5 - (-518931)\/(-7). Let v = -138134 - u. Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 7*b - 5. Let w be h(6). Let j(f) = 1. Suppose -51 = -27*l + 30. Let c(r) = 2*r - 4. Give l*j(n) + w*c(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 3, 12, 8195.\nAnswer: 3, 4, 5, 12, 8195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12256 (base 9) to base 11\nAnswer: -6204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.91 - 0.09. Suppose -2*y + 20 = g - 6*y, 0 = 5*y + 15. Let m = 6 - g. Which is the biggest value? (a) m (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3094, -4 in descending order.\nAnswer: -4, -8, -3094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {s: 2, q: 2, m: 1, d: 1, x: 1, z: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/7 + 4966*v**4\/7 - 4113498*v**3\/7 + 162775102*v**2 - 2262437132*v\/7 = 0. Calculate v.\nAnswer: 0, 2, 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x - 12. Let y be h(9). Let n = y + -19. Suppose -2*o - 1 - 1 = 0. Sort 1, n, o in ascending order.\nAnswer: o, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 24*u - 23. Let a be w(-13). Solve a*h = h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48165)\/114114 + (34\/42 - 1)\/((-4)\/6).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-1)\/(5\/8). Let d = -0.6 - -0.1. Let k = 8.5 - 8. Which is the closest to x? (a) d (b) -5\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39687 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -0.06, 1300, -121 in decreasing order.\nAnswer: 1300, 4, -0.06, -1, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 17, 27, 41, 59, 81, 107?\n\"Answer: 2*n**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 43. What is the smallest common multiple of a(8) and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:29 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66126629 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4676 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/8)*h)**19)**(-7) assuming h is positive.\nAnswer: h**(-1197\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6282373*v - 2870880*v + 1152411*v.\nAnswer: -8000842*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78907 is divided by 1141.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l + 3*l - 12*l - 1 + 3*l. Calculate k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573.448 meters in millimeters?\nAnswer: 1573448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + 2*k + w, 3*w = -9. Let x be k\/(-4) + (-41)\/(-2). List the prime factors of ((-304)\/x)\/((-4)\/10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/19455 and -50\/9.\nAnswer: 58365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 - 69. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 0. Suppose -3*j - 4*a + 23 = 0, f = 3*j - a - 8. Solve j*x - 2*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = o + 5*n, 10*o - 2*n - 311 = 7*o. What is the remainder when o is divided by -34*2\/(-2) + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 0. Let c = x - 2.551. Round c to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/30 + 2\/5. Let o = -81 - -79. Which is the biggest value? (a) g (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m**6\/m*m*m)*m)\/(m*m\/(m\/(m\/m**(-1\/5)))))\/(m**0*m)**(-31))**(-23))**(-36) assuming m is positive.\nAnswer: m**(102672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 585295, 2 in decreasing order.\nAnswer: 585295, 21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.4, -471?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11373 is divided by 5686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -56195 + 18705 - z + 18715 + 18729. Calculate i(-21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 494*m**3 - 860 wrt m.\nAnswer: 1482*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 - 2*q - 78. Let h be j(0). Let x = -48 - h. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 + x - 3. Let f be j(5). Suppose 0*c - c = -f*c. Which is smaller: 4\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 1096, -65, -3 in ascending order.\nAnswer: -65, -3, 1, 2, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61065 and 1.92?\nAnswer: 61066.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g + 2 = -2*b, -5*g - b = 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*y - 484 = 0, -116 = -2*w + 5*y + 98. Calculate the highest common factor of w and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23685 (base 11) to base 13\nAnswer: 12698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -154, -150, -144, -136, -126, -114?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 + 3*a - 18. Let l be z(9). Suppose -4*g = -l*g - 30. Is ((-4)\/g)\/((-16)\/(-29976)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -65*n - n**3 + 0*n**2 + 2*n**3 - 10*n**2 + 67*n - 5. Let x be d(10). Solve x = -4*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**2 + 118*j**2 - 25*j**2 - 25*j**2.\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d - 53. What is the hundreds digit of s(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*y + 19 = 0, -2*v + y + 11 = -1. Suppose -5*g - 6 = 4*m, 3*g - 3*m + 6*m = -6. Solve 0 = -3*a + g*p + 7, -v*p + 10 = a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75625723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5385507 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131364 divided by -7298.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*s - 7*s + 7, -s = -3*v + 9. Calculate the least common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 4*p + 34561*p**3 + p - 34550*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -5\/3, 0.4, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*u + 4*p - 30, 0 = 2*u + p - 14. What is the lowest common multiple of 30 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 20*x + 3665 - 11*x + 771 - 10*x.\nAnswer: -50*x + 4436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10741286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9545 and 113793.\nAnswer: 13086195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.21 and 529756325.\nAnswer: 529756325.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -15. Sort y, 4, -7 in decreasing order.\nAnswer: 4, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307 - 211. Let k be (-1)\/(-2*2\/a). Let g = -12 + k. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = -16. Suppose 4 + u = 4*p. What is the third derivative of j**6 + 0*j**6 + p*j**2 - 2*j**6 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/7)*z\/(z**(3\/20)\/z)*z**(-31)\/z*z*z*z**(1\/5)*z assuming z is positive.\nAnswer: z**(-3853\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 6 in ascending order.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z - 18. Let y be a(7). Suppose -18 = -19*s + 20. Sort y, s, -2 in ascending order.\nAnswer: -2, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114177.\nAnswer: 3, 7, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r - 14. Let w = 56 - 31. What is the remainder when w is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4173054 (base 8) to base 11\nAnswer: 69a182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3 - 277*r**2 + 824*r - 548 = 0.\nAnswer: 1, 2, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1204 (base 5) to base 12\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w. Suppose 2 = t - 0. Let m(q) = -2*q**2 + 3*q. Let s be m(t). Put -1\/2, w, s in ascending order.\nAnswer: s, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -39 (b) 2\/15 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182305 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 10*t**2 - 7*t + 3. Let z(c) = 19*c**2 - 111*c - 1. Let d be z(7). Suppose -2*h = 15*h + d. Calculate x(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112043242 + 3?\nAnswer: 112043300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = 0, -2*n + 3*m = -14 + 9. Solve -35 + 75 = -n*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*x + 652 = 133*x - 935 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**4\/4 + 6*s**3 - 6*s**2 - 5*s - 1. Suppose 331*l = 321*l + 170. What is the tens digit of d(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/21 and -46\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -323.292 - 0.708. Let i = -322 - s. Let u = 0.1 - 0.1. Which is the smallest value? (a) i (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6450*v + 283808. Calculate o(-44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -26)\/4 + 1. Which is the closest to g? (a) 5 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 2*g + 4*u = 16, 0 = -4*g - 5*u + 2*u + 22. Suppose -g*m + 4*m = -2*m. Which is the nearest to h? (a) -1 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1002620465 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3685, -15173, -34313, -61111, -95573?\n\"Answer: -x**3 - 3820*x**2 - 21*x + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -20, 3*r - 5*x = -x + 106. Suppose 0 = -0*g + 2*g - r. Suppose v = -2*v - g. Put 2, v, 0 in increasing order.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 1 l when three letters picked without replacement from hhoohoolopoog?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -a. Put 3, -3, a in ascending order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 1625?\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -79105, 235, 0, 3 in ascending order.\nAnswer: -79105, 0, 3, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafdlfaaajfflfjaf. Give prob of sequence jf.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjhnihxxnxxixhxnhh. Give prob of picking 1 j and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -3*m, -s + 5*s = -5*m + 65. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1833 - -21392. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1123?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 903*c - 902*c - 13, -5 = c for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242\/3, 0.1, 4812 in ascending order.\nAnswer: -242\/3, 0.1, 4812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + 2*(sqrt(468)*-1 + sqrt(468) + -5 + (1 + 1*sqrt(468) - sqrt(468))) + 5 + 4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 - x + 12. Let k be l(7). Solve -k*j = 2*r - 8, -2*j + 5*j - r = 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 2*f**2 - 4*f - 19. Let t be p(5). Let g = 380 + t. Let h = 21 - 3. What is the remainder when g is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*t**4 + 2*t + 305 wrt t?\nAnswer: -148*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 + 48*v**2 + 641*v. What is m(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 11896.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 1\/4, 0.2, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 4*x + 7. Let s be o(3). What is the highest common factor of s and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2 = -2*v + 3*u, -v = 5*u + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 9*p - 471. Let h(s) = 666*s - 49. Is h(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/9 - 62*m\/9 - 961\/9 = 0 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(32\/8))\/(91\/(-14)*-2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*j - 2436 - 873 = -237. Solve 0 = 18*k - j - 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(448) + 1 - 4*sqrt(448)*2) + -1 + 0)**2 + 5.\nAnswer: 21957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -7. Suppose -w - 276 = -5*w - 2*k, -134 = -2*w + k. Suppose -5 + 2 = -3*g, -y + w = 5*g. What is the greatest common factor of i and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 1929*u**2 - 22 + 58 - 16.\nAnswer: -1929*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 419037\/286 at most 1466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*u + 6, -3*h - 75*u + 80*u + 8 = 0. Which is bigger: h or 4\/69?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2372, -2264, -2156?\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3109 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 + 2 - 4. Let a = 4 + m. What is the units digit of 4\/((1\/2)\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 7*y**6\/30 + 71*y**5\/60 + 969*y**4\/4 + 21*y**2 + 2*y - 11. What is the second derivative of v(k) wrt k?\nAnswer: 168*k + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 759*u - 1007*u + 192696. Calculate the highest common divisor of 4921 and u.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 20 = 1. Solve -4*x + 8*x - 4*z = 0, -2*x - h = 5*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 6, -4, 224, 0.1, -1\/7.\nAnswer: -4, -1\/3, -1\/7, 0.1, 6, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(88)\/sqrt(72)*-2)**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-4 + sqrt(5808)*-3)*-2)*-2)**2.\nAnswer: 6336*sqrt(3) + 836388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from qhleeaq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*y - 2*f, -32*y = -28*y + 4*f - 156. What is the remainder when 96 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1473442501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -3*u**5\/110 + 5*u**4\/66 - u**3\/33 - u**2\/11 - 5*u - 1. Let l(s) be the first derivative of i(s). Factor l(r).\nAnswer: -2*(r - 1)**2*(3*r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 153.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = 0, 4*f - 18*q = -20*q + 1344. Calculate the remainder when f is divided by 321.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 12. Let r = -0.3 - -0.7. Let z = -175.7 - -176. What is the nearest to z in -0.1, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = 3*a - 5*s - 1241, -1076 = -2*a - s. Suppose a = 5*l + 66. What are the prime factors of l?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -69. Let m be (-2)\/5 - (2\/h + -2). Solve -c - m*t = t + 12, -3*t = 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -46. Suppose 4*s = 2*r - 138, r + s + 28 = 88. What is the highest common divisor of r and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(14)\/sqrt(2) + sqrt(7) - (-1 + sqrt(112) - sqrt(112))) + 1)*-4)**2.\nAnswer: -192*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*n - 14*n + 5*n - 3 - 11 wrt n.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 + 4*b - 7. Let z be o(5). Is (-9)\/6 - z\/(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**2 - 567 - 154 + 267 + a - 361 - 2*a**2 + 3*a**3 wrt a.\nAnswer: 9*a**2 + 10*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1655 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 152? (a) -25\/4 (b) -17 (c) 1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -53. Let r(y) = -y**3 + 9*y**2 - 8*y. Let b be r(m). Let a be -87998 - (2 - (b - -3 - 3)). What is a rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36303150 - -1?\nAnswer: 36303151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 10:40 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let p(l) = -2*l**d + 2*l - 2*l. Let c(g) be the first derivative of g**3\/3 - 49. What is c(p(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m - 12. Let v(g) be the first derivative of -g**2\/2 - 7*g + 1. Determine v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) 0.2 (c) -322 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256536 and 183394736?\nAnswer: 1650552624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4163 = 5*f - 6*f, 4*f + 4*n = 16700. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94093 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5958323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 14122011?\nAnswer: -14122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + 0*k**2 + 10*k**2. Let q(g) = 1 + g**2 - 1. What is b(q(u))?\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15384.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/14? (a) -0.14 (b) -3\/2 (c) -0.1 (d) -4 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 6*x - 110. Suppose 4*g + 0*g - 112 = 0. Let t = 39 - g. Calculate the greatest common factor of t and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4661750 and -0.2.\nAnswer: 4661749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 15 + -6 - (-68 - -58).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34335*p**3 - 34860 with respect to p.\nAnswer: 103005*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 1\/24*m**4 + 1\/6*m**3 + 5 + 6*m**2 + 0*m. Let w(h) be the second derivative of c(h). Determine w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11697*g**2*o**3 + 8298385*g**2*o**2 + 2643*o**5 + 2*o wrt o.\nAnswer: -70182*g**2 + 158580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*k + 94, 2*z + k = -z + 82. Suppose -9*i = -67 + 49. Suppose -i*x + z = -70. Calculate the greatest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*h**2 - 147*h**2 - 95*h**2 to the form j*h**2 + z + o*h and give j.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 2. Let m be y(-2). Let g(c) be the first derivative of c**2\/2 + 11*c + 3. What is the smallest common multiple of g(m) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 37*u**2 - 2*u - 68. What is the remainder when 37 is divided by b(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -408*j - 20406. Calculate b(-50).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-496)\/320 + 28\/35.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-1)\/9). Let i be (s\/(-1*3))\/(-1). Does 3 divide (2\/5)\/(i\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12783434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q**2 + 4*q - 8 - 10 + q**3 + 21. What is t(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from rjjjjjjjjrjjj.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/40? (a) 1\/7 (b) -1\/4 (c) 0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*o**3 - 2097617*o**2 - 1089466*o - 86 wrt o?\nAnswer: -96*o - 4195234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341\/4 + 89. Let l be 2\/(-31) + (-8484)\/(-10416). Suppose -l*m**2 - 9\/2 - c*m = 0. Calculate m.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -35. Let r = -0.3 + 0. Let w = -0.1 - r. Which is the third smallest value? (a) m (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-70)*(-8)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/(-27)*114\/76?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, n: 6, o: 4, i: 2, y: 1}. What is prob of sequence ynov?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 22 - 44. Suppose -v = -4*d + 130. Suppose -4*k = -3*q - 45, 2*k + k = -2*q + d. What is the remainder when 119 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*h + 13176 = -28984 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0 + -1 + sqrt(72) + 3)**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 15 = 0. Suppose -c*m + 1 = -2*m. Calculate the least common multiple of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5200.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2198796 and 45?\nAnswer: 32981940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 + -184. Which is the third biggest value? (a) -4\/7 (b) g (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**5\/20 + q**4\/4 - 4*q**3\/3 - 5*q**2 + 4*q. Let i be c(-5). Let z = 34 - i. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 4:54 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071657.3 months in years?\nAnswer: 89304.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 689597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*-2*(sqrt(95) + (sqrt(95) + -2*sqrt(95) + sqrt(95) - sqrt(95))))\/(-5*5*sqrt(605)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 - -16. Let r be 11440\/p + (-4)\/10. Let v = -76 - r. What is the smallest value in 2\/9, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137225, 137224, 137223, 137222?\nAnswer: 137221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219092 by -3.\nAnswer: 219092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 0. Let f(p) = p + 12. Let c(q) = -q - 11. Let r(k) = -3*c(k) - 2*f(k). Let y be r(h). Sort y, -13, -0.5 in descending order.\nAnswer: y, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b)*(-b + b + 2*b**2) + 3*b**3 - 5*b**3 - 3*b**3 + b**2 - b**2 - 2*b**3 - 11074616*b + 4 + 11074616*b + 116*b**3.\nAnswer: 113*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9112 + 0.9679. Let i = 12 + -11.05. Let z = l + i. Round z to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9 + -0.1. Let l = x - -4. Which is the second biggest value? (a) -2\/11 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 a when four letters picked without replacement from xaaaaavxvavavvvavv?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-469)\/67 - (1 - 10). Let s(o) = 134*o**3 + 4*o**2 - 8*o + 4. What are the prime factors of s(a)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**11*(s*s*s**4*s*s)\/((s**(-6)*s)\/s*s))**48 assuming s is positive.\nAnswer: s**(5424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/40 - b**5\/15 - b**4\/12 + 2*b**3\/3 - 95*b**2. Let v(c) = -4*c**3 - 3*c**2 - 2*c + 3. What is -3*d(t) + 4*v(t)?\nAnswer: -7*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((5 - 2) + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - 2)*(-4)\/(-12). Let p be (-32)\/(-6) - (-1)\/j. Let q(r) = 4*r - p*r - r. Let k(t) = 5*t. Determine k(q(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 14*f + 23. Let y be k(12). Let p be 2\/y + 1*(2 - -38). Calculate the highest common factor of p and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.7, -2\/21, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 + 226. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6562, 6551, 6518, 6451, 6338, 6167?\nAnswer: 5926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 133 = p + 234, p = -3*s + 146 + 138 for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let h(q) = -25*q - 3. Let v(w) = 51*w + 7. Let o(p) = 5*h(p) + 2*v(p). Does 11 divide o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 132.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*b + b + 3*b)*(0*b - 4*b + 2*b) - 1 + b**2 + 1)*((-3 - 1 + 2)*(6*b + 0*b - b) - b + 0*b + 2*b).\nAnswer: -45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10}. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-46)\/92)\/((-2)\/12). Suppose -344 = u*s - 1514. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 7*y**2 + 9*y + 6. Let a be h(-3). Suppose 0 = a*l - 798 - 3237. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 3\/7*y**4 + 0*y**2 + 7 + 8\/35*y**5 + 0*y + 4\/21*y**3. Suppose g(n) = 0. Calculate n.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11655 - -11650. Put r, -16, -4\/9, 0.034 in increasing order.\nAnswer: -16, r, -4\/9, 0.034","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 13*v + 11. Determine u(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**3)**(-11\/3)\/(x**3)**23 assuming x is positive.\nAnswer: x**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 10. Let d be u(0). Suppose d + 17 = 9*h. Let g be (-8)\/(-3 + (4 - 3)). Solve -h*j - 1 = -g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37674 (base 9) to base 2.\nAnswer: -110001011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 269120*c**3 - 271440*c**2 + 2325*c - 5 = 0.\nAnswer: 1\/232, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2 + 0)*3. Let h be -12*3\/18*s. Suppose -q - 2*v + 3 = 0, 2*q + 5*v - h = -0. What is the least common multiple of q and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**21*z**11*z assuming z is positive.\nAnswer: z**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 7 in descending order.\nAnswer: 7, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 53*w + 0*w - 20 - 53*w + 28*w**2 - 8 to the form b*w**2 + n + r*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u. Let h be p(-1). Suppose 19 = h*y - t, 0 = y + 3*t - 2 + 11. Suppose -27 = -12*i + y*i. Solve -i*m + m = 3*z - 7, z = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -14*f + 330. Let j be 11\/(f\/(-30))*-15. Let t = j + 97. Solve -i - 13 = 4*x, t*x - 4*i = 3*x - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 4:45 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39132 > 39132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -186 in -13, -7\/58, 1\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219\/1157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3487131404 to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-425)\/(-20) + 1\/(-4). Let j = -23 + p. Let w be (0 + 3)*1 + j. What is the second smallest value in 1\/6, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8262)\/5355*(-4)\/24*(-5)\/(-6)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 429.564 + -431. Let f = h + 1.6. Round f to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1 + 3) - -1. Suppose -i*p = -20 - 13. Let k = p + -3. Calculate the highest common factor of k and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-225) + (-2 - 94\/30). Which is the closest to 0.29? (a) -0.1 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {o: 7, s: 1, y: 1, f: 4, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.413*931068\nAnswer: 384531.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*k - 219*k = -5*b - 6, 5*b - 3*k = -24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {t: 1, a: 1, b: 1, z: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9361aa (base 11) in base 7?\nAnswer: -15522604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.04, -389, -4, -30, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 52*a - 54*a - 1374 = 0, -5*r - 1690 = -3*a. Put -3, 0, r in descending order.\nAnswer: 0, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16834 + 16834 + 543*t)*(t + 3*t - t)*(-8 - 10 - 4) to p + m*t**2 + o*t and give m.\nAnswer: -35838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.71528532 to 2 decimal places.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.044 and -0.0777673?\nAnswer: 0.0034217612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h - 1. Let n(m) = 3*m - 5. Let b(w) = 10*w - 14. Let x(i) = 6*b(i) - 17*n(i). Calculate -7*d(a) - 6*x(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.31 + 496.69. Let v = j + -507.999999845. What is v rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/103032 and -13\/3816?\nAnswer: 103032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 4.3.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -4 (c) -0.6 (d) -12685\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(100)\/sqrt(2))**2 + -1 + 5 + 4.\nAnswer: -10*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*z + z - 882, 3*t + 6 = 0. Let n = 35122 + z. Let l be (n\/2)\/(12\/(-1600)). What is l rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*v**3 - 56*v**2 + 56*v**2.\nAnswer: 47*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -918 + 782 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22834 or -22945?\nAnswer: -22945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 - (3 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 104\/(-12)*6\/(-4). Suppose 2*j - 14 = 4*j - 4*w, -m = 3*j - 4*w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -1, 5*v + 4*x + 48 = -56. Let b be ((-15)\/9)\/(2\/102). Let y = v - b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -581aa65 - 1?\nAnswer: -581aa66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*r**5 + r**2 - 21 wrt r?\nAnswer: 6120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127623, -255247, -382871, -510495, -638119, -765743?\nAnswer: -893367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16458 divided by -422?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.908909kg to nanograms.\nAnswer: 9908909000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 4*x + 75. Let y = -10 + x. What is the units digit of 4\/6 - (-35)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (0 - (2 - (10 + -8) - 11))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 t when three letters picked without replacement from lsttctqttq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {i: 1, k: 2, r: 1, q: 3, u: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1. Let q(u) = -2*u + 4. Let y be q(3). Let v(o) = -o. Let i(z) = -5*z - 2. Suppose 4 - 5 = -w. Let d(n) = w*i(n) - 4*v(n). Calculate y*s(p) - d(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c + 3, r - c - 3 = 0. Let s(h) = -h**3 + 41*h**2 - 47*h + 283. Let u be s(40). Is u less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 28*t**2 + 96*t - 88. Let u be w(9). Solve -682*r + u*r = -39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -312, -626, -956, -1308, -1688, -2102, -2556?\n\"Answer: -r**3 - 2*r**2 - 301*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8\/(40\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y + 2*y**2 - 4*y)*(80 - 80 - 9*y) + 4*y**3 - 2*y**3 - 3*y**3 to i*y**3 + a*y**2 + g + c*y and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1373125019668 + -1.2.\nAnswer: -1373125019669.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 169*o - 2513. Suppose 4*n = -4*h + 100, -2*h - 2*h + 115 = -n. Calculate the remainder when j(69) is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:09 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13723201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1d6b?\nAnswer: -1d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7011, -6988, -6955, -6912, -6859, -6796?\nAnswer: -6723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 3*x + 47. What is the highest common factor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1742273548*z**2 + 3484547081*z**2 - 1742273539*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1192.065 + 1210. Let v = u - -0.165. Let x = -18 + v. Which is the third smallest value? (a) x (b) 3\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92621 divided by -21.\nAnswer: 92621\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 554 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -121101325 (base 6) in base 7?\nAnswer: -25333544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -407 (base 9) to base 8.\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950b (base 12) in base 4?\nAnswer: 103022123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4636700 to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:39 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -2093.8227.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 8*x + 14. Let l be t(-9). Solve 0 = -3*z - 4*v + 2*v - l, -3*z + 2*v + 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 83.72. Let y = -0.073 + 1.353. Let v = g + y. Which is the second biggest value? (a) 5 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230971 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -345\/7 - -49. What is the nearest to x in -1\/7, 3\/8, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 3*x**2 - 3*x. Let r be k(4). Suppose 2*i + s - 1 = 1, 2*i = -r*s + 8. Which is the biggest value? (a) i (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -833 - -852. What is the greatest common divisor of n and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**2 - 2*g**3 - g - 2*g**4 + 290 - 291 + 0*g - g to f*g + b*g**3 + z*g**2 + s*g**4 + o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -7*b**4\/6 + 11*b**3\/6 + 3*b**2\/2 - 12*b. Let h(n) = 9*n**2 - 7*n - 2. Give -8*h(u) - 5*v(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*x - 356 + 371, 4*x + b + 17 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695466127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 19*t**2 + 63*t - 19. What is w(-11)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(300)*-1*4 + 2*(-5*sqrt(36)*-1)\/sqrt(12))*2.\nAnswer: -60*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6*-3026\nAnswer: -18156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 17 = -5*t + 3, a = -5*t + 20. Let h be 1*t - (5 - 5). Determine c so that 6*c**4 - 2 + c**3 - 7*c**h + 3 - 3*c**3 + 2*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 11. Let k(h) = -44*h - 4. Let i be k(-2). Suppose 11*w + w + i = 0. Give g(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 23499994 + 3 + 3. Round x to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 145*p**8\/336 + p**6\/120 - p**4\/8 + 35*p**3\/3 + 20*p**2 + 8. Find the second derivative of i(m) wrt m.\nAnswer: 2900*m**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-28.946.\nAnswer: -5.7892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -5*b**7\/7 - b**3\/6 - 3*b**2\/2 + 2*b + 22. Find the second derivative of l(g) wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((3 - (6 + -6)) + -4 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2178 by 8.\nAnswer: -1089\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 5*l**3\/3 - l**2 - 3*l. Differentiate s(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n - 38026 + 477661 + 257358 = 0. Is 117 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 148?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f - 7. Let q be a(5). Let n = q - -16. Calculate the remainder when n is divided by (-44)\/(-10) - (-27)\/45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193403.\nAnswer: 71, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + 7 + (-3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -220.\nAnswer: -219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 30*f - 140. Let m be x(25). Let p = m - 181. What are the prime factors of p?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -160, -163, -166, -169?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 179 = 173 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 370543677 to the power of 1\/2, to the nearest integer?\nAnswer: 19250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkk when three letters picked without replacement from {u: 1, k: 3, d: 1, g: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50663549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let o(y) = 22*y**3 - y**2 + 1. Let j be o(b). What is the tens digit of 290\/j + 10\/(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.42 - -2.42. Put -12, 4, 0, x in descending order.\nAnswer: 4, x, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*d - 58*d - 5 - 20*d + 76*d**3 to the form l*d + c*d**2 + m + p*d**3 and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10501 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295 + 294.545. Round y to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.119 and -244.05.\nAnswer: -249.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-850)\/(-663)*3)\/(12\/78).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -130, -306, -646, -1204, -2034?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9*r - 320 = 0. Let l = r - -60. Let v be 2*(-2 + l\/8). Solve -v*n + 4*n - 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 1, e: 1, x: 2, v: 12}. Give prob of picking 1 a and 1 v.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4452960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 53 = -b, 4*s = 9*b - 5*b + 88. Suppose s*w - 56 = 11*w. Calculate the highest common factor of 50 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-804)\/(-2184) - 36\/168.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 157*b - 766. Solve 4*w = 12, 39 = b*s + 4*w + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 + -13351?\nAnswer: -13282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -696.816 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19037 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -136. Let t = z - 60.8. Which is the second biggest value? (a) -3\/7 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6012 - -6189) + 2 + -119?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m + m**2 + 12*m + 0*m**2 to the form n + l*m + i*m**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -i + 5*i - 3*r + 150 - 260, 7 = 7*r for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5714 + 239. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3\/3 - 18305*o**2\/3 - 255535*o\/3 - 893515\/3 = 0. Calculate o.\nAnswer: -3647, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/12 - 17*k**3\/9 + 96. Factor f(w).\nAnswer: -w**2*(w + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-5 + (-12 - -30) + -33) - 9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(-743 + 743 + 493*w) - 4*w + 2*w + 4*w as i*w + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/379072 and 101\/4208.\nAnswer: 99695936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -100100011?\nAnswer: -100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/13 + 7443292*f**2\/13 + 52103130*f\/13 + 3435372 = 0.\nAnswer: -6, -1, 3721653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134095 is divided by 1131739?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 5, k: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -42737847493 + 35\nAnswer: -42737847458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l - 2. Let h be m(-1). Solve h = -2*j + 4*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78146789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 24. Let g = b + 18.7. Let a = g - 1. What is a rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Suppose -2*c = -v, 4*c + 0*c = v + 2. Differentiate -i + 5 + v*k + k - 5*k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555 (base 6) to base 9\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 8*m + 6. Calculate z(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/2 + 54405*n**2 - 1479679950*n - 14802240500 = 0. Calculate n.\nAnswer: -10, 54410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 2*f + 7294 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72573 + 20327?\nAnswer: 113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(1\/59))**23\/((s*s*s*s**(-2\/3))**(-2\/5))**20 assuming s is positive.\nAnswer: s**(6677\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406\/1295 + 8\/84*-3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, b: 1, o: 6, d: 1, i: 1}. What is prob of picking 1 o and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k + 94. Let g = 132 - 141. Let n be s(g). Solve 0 = r - 0*h + 2*h - n, -3*h + 4 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.1, 16, -8.404, 1\/2, 1, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 20192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 671 and 21533.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -135.28 and 1.\nAnswer: -134.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/430 and -103\/14.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7119 at most as big as -49838\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*x**2 + 88*x**2 + 19*x**2 - 66*x**2 to d*x + k*x**2 + p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose -3*v + 44 = -2*w, 4*v + 0*v - k*w = 60. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 827*g - 9 - 828*g.\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10811, -21606, -32401, -43196, -53991?\nAnswer: -64786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*l = -b, 0 = -2*l + b - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 5, 3, 1, -95?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11990.1 rounded to the nearest 100?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -88.2786 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.4. Let c be (2\/6)\/(8\/1542). Let q = -64 + c. What is the closest to z in 2, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -29. Suppose 72 = k*p + s, s - 77 = -5*p + 3*s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.060107612324 and -3.\nAnswer: -3.060107612324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*h = 2*y + 36, 0 = -y + 2*h + 12. Suppose 2*d = -0*d - y. Are -5\/4 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (45 - -2) + -47\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38666800 to the nearest ten thousand.\nAnswer: 38670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 48 = 19*g. What is the remainder when 27 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-8))\/(1\/(-4)))\/((-36)\/312)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25441438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1948 and 5411?\nAnswer: 10540628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4.01. Let k = 0.01 - m. Let t = k - -0.2. Which is the second biggest value? (a) t (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(700) - (-2*sqrt(700) + sqrt(700) + sqrt(700))) + 3 + -2 - ((sqrt(154) + -2*sqrt(154))\/sqrt(11))\/(-1*sqrt(2)*1)))**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 645 = -5*o - 13*i, -i + 387 = 3*o. Calculate the remainder when o is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by -1773?\nAnswer: -205\/1773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668631442?\nAnswer: 2, 383, 523, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 1\/6*l**3 + 7\/60*l**5 + 0*l + 1\/24*l**4 + 0 + l**2. Does 4 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61783391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 149 - 145 - (8 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 49 - 17. Let h = m + 22. Suppose -4 = -h*v + 86. What is the remainder when 28 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {q: 3, y: 3, m: 3, r: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000106239 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/(11\/(-99)). Suppose -o - 101 = -2*g, -c*g + 4*o + 154 = 3*o. Let s = g + 110. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0373701156 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 1. Let q be x(-5). Find the second derivative of 2*n**5 + 2*n**5 - q*n + n**5 wrt n.\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stqsyoqw. What is prob of sequence qy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14473458 to the power of 1\/2, to the nearest integer?\nAnswer: 3804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18816 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -29*p - 650. What is o(-22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t - 3. Let c be o(-3). Let i(s) = -33 + 118*s - 94*s - 105*s + c*s**2. Let x(m) = -m**2 + 5*m + 2. Determine 2*i(g) + 33*x(g).\nAnswer: -3*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55138 and -14.\nAnswer: -55152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3232, -6462, -9692, -12922, -16152, -19382?\nAnswer: -22612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13781*k**2 - 5373*k**2 + 3272*k**2 + 799*k**2 - 13850*k**2 to s + a*k**2 + i*k and give a.\nAnswer: -28933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - 2 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61133765 + -4?\nAnswer: -61133771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 2*r - 2. Let x(m) = 3*m**2 + m + 3. Let z(g) = 4*c(g) + 3*x(g). Let b be z(3). What is the remainder when b*6*(-16)\/10 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1226\/27 < -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 17 - (-33 + 28 + 24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 7*p**2 + 31*p + 242. What is o(-8)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24335*c - 3146. Is z(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5151 - 17*n + 11*n**2 - n**2 + n**3 + 5143. List the prime factors of d(-11).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -399*w**2 + 5450*w + 41.\nAnswer: -(3*w - 41)*(133*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*o = -445*o + 4*k - 12, 5*o - 4*k = -30 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -99*(-45)\/675*-5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59.1 - 64.1. Let a = -211.5 + 211. Let p = -2\/55 + 67\/330. What is the second biggest value in -0.4, p, a, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 45*z - 1450 = 0. Calculate the lowest common multiple of 655 and z.\nAnswer: 6550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322328307 + 0.11\nAnswer: -322328306.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - -102?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:58 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(2\/(24\/6)*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:39 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/3 + 1073*z**3\/3 + 6305*z**2\/3 - 103289*z\/3 + 74690 = 0. What is z?\nAnswer: -1067, -14, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z**2. Suppose -26*x + 29*x = 9. Suppose -3*s - 4*y = -15, 2*y - 9 = -x*s - 0. Calculate j(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -5. Let d = 13 - m. Solve 2*u = -4*v - u + 22, 0 = d*v - 2*u - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + sqrt(320) + sqrt(320) + (4 + (sqrt(320) - 1*sqrt(320)) - sqrt(320)))**2 + 2)*-3.\nAnswer: -3894 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98029013 divided by 5?\nAnswer: 98029013\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - 7*j + 1. Let l(y) = 2*y. Let t(c) = 6*l(c) + 2*p(c). Does 3 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 122*o + 2149. What is y(-13)?\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 0*z)*(152 - 154 - z**2 + 3*z**2).\nAnswer: 2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1 - 1 + 2*n. Let a(y) = y. Let k(v) = -2*v. Let t(m) = 4*a(m) + k(m). Let h be ((-4)\/(-1))\/(4\/6). Determine h*t(z) - 5*f(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 262421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*j + 72 = 0, 2*s + 3*j - 11 = -0*s. Suppose -4*y - 5 + s = 0. Solve 12 = t + y*t, -4*m - 12 = -t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -464 - -572.6. Let h = t - 109. Put -1, 3, h in decreasing order.\nAnswer: 3, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31*635079\nAnswer: 19687449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 13 - 22 + 19 + 11 - 10*n. Let v be f(9). Calculate the greatest common factor of v and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2921402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510555005 is divided by 538.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7621 + 7622. Let w = 4.7 + -5. What is the nearest to -2\/5 in s, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52706 is divided by 1946.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1901595\/13513493 + 1\/67907. Find the common denominator of k and -33\/2.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 818641*f**3 + 1553857*f wrt f?\nAnswer: 4911846*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 146*z**2 - 140*z - 121. What is v(72)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -269 + 281. Calculate the lowest common multiple of y and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 147*t**2 - 13*t + 17. Give d(2).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 12 + 32 = 0. Suppose 0 = 5*f - 2*y - 69, j*y = -3*f - 0*f + 29. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/3*30\/(-20). Suppose -d*h = -5*h - 3. List the prime factors of 1\/(5\/65) - h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.98 - -7. Let w = -0.32 + n. Which is greater: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4\/9 - 9832*c**3\/9 - 78944*c**2\/3 - 158080*c = 0.\nAnswer: -12, 0, 4940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 5. Let d(q) = -3*q. Let r(h) = -15*h + 10. Let l(j) = 5*j - 1. Let u(y) = l(y) + r(y). Let i(p) = -6*d(p) + u(p). Calculate 3*i(c) + 5*o(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -295999, -295986, -295959, -295912, -295839, -295734, -295591, -295404?\n\"Answer: q**3 + q**2 + 3*q - 296004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -75. Let h(n) = n**3 + n**2 + 23. What is the remainder when h(0) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 + -26390.7?\nAnswer: -26393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-14))\/j*j**(3\/2))\/(j*j*j*j\/(j**(-2\/7)*j))**(-24))**(3\/32) assuming j is positive.\nAnswer: j**(3963\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2608 - 1251 + 205)*((2*j - j + 0*j)*(2 + 1 - 5) + 4*j + 2*j - 3*j).\nAnswer: -3654*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u + 37. Let y be x(7). Suppose -34 = -y*d + 4*z, -3*d - 5*z + 3 + 4 = 0. Calculate the remainder when 223 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 529997079*j*o - 261679332*o wrt j.\nAnswer: 529997079*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1395 - -15343\/11. Which is the biggest value? (a) 0.5 (b) s (c) 18 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r**(3\/8)\/r)\/r)*r**2)**(1\/20)*((r\/r**(2\/19))\/(r\/(r*r**(2\/9)\/r)))**(-20) assuming r is positive.\nAnswer: r**(-11261\/5472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0.3. Let g = 2.5 + z. Let y = -68 + 409\/6. Which is the nearest to 1? (a) 0 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -48.2, -1.2, 1\/5, -0.3?\nAnswer: -48.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1169736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/130*(6\/5)\/((-78)\/52).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 79 = -4. Suppose 0 = -4*t + 4*q + 24, -27 - 7 = -3*t - 5*q. Calculate the remainder when k is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (0 + -8)) + 8 + -1 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-6)\/8)\/(-1). Let k = 0.2074 + -0.1174. Let g be 4*((-60)\/(-56) - 1). What is the nearest to 0.1 in t, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:35 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*p + 31, -464*u + 460*u - 13 + 21 = 4*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 15*j + 37. Suppose v - j = 56. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -44905a?\nAnswer: 449062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21))\/(10 - (-3488)\/(-336)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2225 + 2471. What is the smallest common multiple of 2 and r?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-21))\/4 - (-338)\/7. Let r = 3 + h. Let w = r + -36. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82380223 to the nearest integer?\nAnswer: 9076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + b0c28?\nAnswer: b0c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3881 = -z, -5*z - 28112 + 8653 = 2*h. Let s = z + 175127\/45. Calculate the common denominator of -83\/21 and s.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let v(q) be the first derivative of -2057*q**2\/2 + 405. Determine j(v(f)).\nAnswer: -2057*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = z, -3*z + 0*z + 8 = -w. Calculate the greatest common factor of 7 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3767 (base 8) in base 5?\nAnswer: 31124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 25*p**2 + 19*p - 135. What is the remainder when n(-26) is divided by ((-8)\/(-3))\/((-2)\/(-12))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -8 (b) 1.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1656 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.007 - -2.107. Let x = s + -7.1. Let u = -5 - x. Sort 0.03, -1, u.\nAnswer: -1, u, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -94*a**2 - 15*a + 13. Let u be c(5). What is the remainder when 29 is divided by 4\/(-38) + u\/(-171)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*1*sqrt(1331) - (sqrt(1331) - -1*sqrt(1331)*3 - sqrt(1331))) + (sqrt(1331)*4*-5 - sqrt(1331)) + 1)*4)**2.\nAnswer: -10560*sqrt(11) + 19166416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 158 + 1\/4*d**4 - 37\/3*d**3 + 46\/7*d**7 + 1\/2*d**2 + 0*d**6 + 0*d + 0*d**5. What is the third derivative of t(v) wrt v?\nAnswer: 5520*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*o + 9*o - 39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - -3) + -2 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -33467606*c. Let s(h) = 3*h**2. Give w(s(y)).\nAnswer: -100402818*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 2 - 2 + (1 + 4 + 0)*(-3*m + 2 - 2) + (3 + 0 - 2)*(0*m + 0*m - m).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.431 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3124 and 12.\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 9*h + 16. Let s be q(-7). Solve -4*c = s*i + 14, -5 - 3 = 3*c - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -31422*a + 219929. Give s(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/z**(-6))\/(z\/(z\/(z*z**(1\/4))))**(-2))\/((z\/z**(2\/5))**(-33\/2)\/(z**(-1))**(-16)) assuming z is positive.\nAnswer: z**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/4 + 675*m\/4 - 677\/2 = 0.\nAnswer: -677, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 43. Calculate the least common multiple of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97716 or -97669?\nAnswer: -97716","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 13687 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: -40+-2330536280.525\nAnswer: -2330536320.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 31*i**2 + 8*i - 20. Suppose q + 3 = b + 6, 0 = -q + 5*b - 13. Is h(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - -0.33. Let a = s - 0.3. Let x = 2.7 - 3. Is x less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1101 + -7?\nAnswer: 10b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.9*-0.146.\nAnswer: 3.4894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1627256791 to the nearest integer?\nAnswer: 40339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146061080, -146061082, -146061086, -146061092?\n\"Answer: -x**2 + x - 146061080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4505523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*j - 5*p, -p - 1 = -5. Factor l**3 + 2*l + 2*l**5 + 8*l**2 + 11*l**3 + 4*l**5 - 4*l**5 + 8*l**j.\nAnswer: 2*l*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + -1 + sqrt(17) + -5))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -23. Let x = t - 5. Suppose 0 = r + x*r - 10. Solve -r*h + 2 = -8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4096*x + 57. Let s(d) = 1364*d - 19. Let i(k) = -4*f(k) - 11*s(k). Is i(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-63) - (-3)\/42*-6. Let y = -0.044 + 3.044. What is the biggest value in v, 1\/20, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**7\/105 - b**6\/180 + 4*b**3\/3 + 4. Let z(s) be the third derivative of x(s). Find the third derivative of z(f) wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/75 (b) -4\/7 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*h*y**3 - 992*h + 6*y wrt y?\nAnswer: 177*h*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(1420*a**4 - 228*a**2 + 445*a**2 - 217*a**2).\nAnswer: 2840*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -489? (a) 10489 (b) -2\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790, 793, 796, 799, 802, 805?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**4 - 2159*j**3 - 4222*j**2 - j wrt j.\nAnswer: -72*j - 12954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -13. Put 1\/2, o, -3 in decreasing order.\nAnswer: o, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w**2 + 2*w)*(20 + 223 + 503).\nAnswer: -1492*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2. Let s(o) = -o - 3. Let k(m) = m - 3. Let a(h) = -3*h + 5. Let x(w) = -2*a(w) - 5*k(w). Let z(j) = -5*s(j) - 3*x(j). Calculate z(t(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + 36\/(-24))*(1 - 147)?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28462098 divided by -14?\nAnswer: 2033007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/18645 and 54\/25.\nAnswer: 93225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiaeaeeekeeniukuii. Give prob of sequence niu.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y + m - 89, -87 = 5*y - 3*m. Let j be (-1264)\/y + 4\/(-18). Let z = -50 + j. What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 13.98, -3 in decreasing order.\nAnswer: 13.98, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 15. Let v be k(13). Let i = v + 2. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 4, k: 4, f: 3, x: 1}. Give prob of sequence xnk.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.011 at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s + 6 = -2*p, 3*p = -15. Let o = 403 + -775\/2. Find the common denominator of s\/3 - 2\/(-6) and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frf when three letters picked without replacement from frf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-15))\/(2\/(-5)). Let s = 30.5 + -25. Let w = 0.5 - s. What is the closest to a in w, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107881 is divided by 15409?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 89. Suppose 27*d - 10 = 26*d + 2*x, -x = -5*d + 32. What is the remainder when a is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 41 = -w, 3*s + 4*w + 0*w = 47. Solve -s*y + 69 = 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55987152 divided by -552\nAnswer: -101426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1277, -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1121011022 (base 3) to base 10\nAnswer: 31463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 20.75?\nAnswer: -20.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 m, and 1 t when four letters picked without replacement from {v: 5, q: 2, m: 2, t: 2, u: 2, o: 3}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 79. Is a*(-1)\/((-10)\/(-55)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 22195980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(150)\/(sqrt(10) + sqrt(80)\/sqrt(8) - sqrt(10)))\/sqrt(3) + 3.\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 143796.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-8) + 3990\/240. Solve -3 - w = 4*k, 3*l - 13 = 5*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 6. Let a be n(14). Let k be 0*(-2 + 3\/2). Solve k*u - a = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 3, -25, -39, -3 in increasing order.\nAnswer: -39, -25, -3, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-19 - -26)*(-2)\/18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -833.71.\nAnswer: -250.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*c + 3*m, 3*c - 4*m - 6 = -m. Suppose -19*y + 24*x - 29*x = -45, 2*y = -4*x + 36. Solve 6*t + c = -y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62911?\nAnswer: 53, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*w - 3. Let s(x) = w*x - 2*x - 8*x. Let g(y) = 4*y**2. Give g(s(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -230?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (6 + -19)) + -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.2 + -12.2. Do -50 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 30 - 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -553701 + 11623945\/21. Let j = v + 539\/3. Which is the second smallest value? (a) -2\/17 (b) -3 (c) j (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -430, -1531, -3330, -5827?\n\"Answer: -349*h**2 - 54*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -2784809 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/6 - 3*l**2\/2 + 14. Let h(d) be the second derivative of c(d). Let w(r) = 3*r. Determine h(w(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(1700) - (3 + sqrt(1700))) + sqrt(1700))*5 + 3 - (sqrt(1700)*1 + sqrt(1700) + 3 + (1*sqrt(1700) - sqrt(1700)) + 2 + sqrt(1700)))*-6)**2.\nAnswer: -24480*sqrt(17) + 255202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/(h\/(h*(h**4*h*h)\/h*h)))**(1\/2) assuming h is positive.\nAnswer: h**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(2\/21)*c)))\/c**(-4)*(c\/(c*c**(-1\/5)\/c))**(-5\/8) assuming c is positive.\nAnswer: c**(365\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = 0, -3*c = 2*q - 0*q - 5872. Let y = 1555049\/814 + 49\/407. Let s = c - y. What is the common denominator of s and -32\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68561100 rounded to the nearest 100000?\nAnswer: -68600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -1\/6*l**3 - 56*l + l**2 - 7\/12*l**4 + 0. Calculate y(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - (-47 + 15)) + -1 + (2 - 47) - 4?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*(-2)\/35*7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 529*l + 8505. Determine o(-17).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/11 - 686*q**3\/11 + 46534*q**2\/11 - 250306*q\/11 - 27048 = 0. Calculate q.\nAnswer: -1, 7, 84, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135456*s**4*v**3 - 80*s**2*v + 463538978*v**3 wrt s?\nAnswer: 541824*s**3*v**3 - 160*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 8. Let l be m(0). Let p = l - -22. Let t(w) = -w**3 + 8*w**2 - 5*w - 3. What is the remainder when t(6) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Let y = 20.46 + 0.54. Let s = y - 19. What is the nearest to -2\/5 in s, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/28 (b) -40 (c) -26 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, d: 2, c: 5, g: 2, r: 1, b: 1}. What is prob of picking 1 g, 1 c, 1 d, and 1 r?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/252 and 85\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 * 25.141\nAnswer: -0.628525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.9 + 21.4. Let t(m) = m + 1. Let y be t(4). Which is the third smallest value? (a) y (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1204, -4835, -10876, -19321, -30164, -43399, -59020?\nAnswer: -77021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Let i(s) = -s**2 + 12*s - 24. Let n be i(10). Let g be ((6\/n)\/1)\/(6\/(-16)). Solve 3 = g*f - x, 5 = 3*f + x - k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1223*y**3 + 1239*y**2 + 33468887.\nAnswer: -3669*y**2 + 2478*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -13*r**7\/840 - 11*r**4\/24 - 5*r**3\/2 - 2*r**2. Let i(y) be the first derivative of z(y). Differentiate i(h) wrt h.\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1578*d**4 + d**3*s - 53*d**2*s - 3082*d*s - 1939 wrt d?\nAnswer: -18936*d**2 + 6*d*s - 106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1187284518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 923 = 8*s - 31*s + 1176. Let y(v) = 33*v. Let u be 2\/1*(-4)\/(-8). Let g be y(u). What is the greatest common divisor of s and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 41, 61, 129, 269, 505?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6665249827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, 4, -31, 1364, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4\/4 + b**3 - b**2\/2 - 2*b - 3. Let u be h(2). Suppose u = v - 2 - 2. Calculate the lowest common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-1 - (-2 + 0). Suppose 0 = -5*y + 10, 0 = b + 4*b + 2*y + 1. Let u(j) = -5*j**3 - 2*j**2 - 2*j - 1. Let z be u(b). Solve h = -k + z - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 825881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*o = -10, 2*w + 13 = 5*o + 3. Let r = 0.1 + 0.1. Which is the closest to w? (a) -5 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2 (c) 79.4 (d) 2\/129 (e) 0 (f) 1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*f + 4*x, -3*x = -5826*f + 5825*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t**2 - 7*t - 40. Let y(f) = -7*f**2 + 6*f + 38. Calculate -4*q(g) - 5*y(g).\nAnswer: -g**2 - 2*g - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295153\/31 - 9521. Which is greater: j or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let b(d) = -d - d**3 + 1 - c*d**2 + 6*d**2 - d + 0*d**3. Let w(g) = g**3 - g**2 - g + 3. Let l be w(0). What is b(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v**2 + v - 113. Let g(p) = 5*p**2 - p + 112. Let q(f) = 7*g(f) + 6*t(f). Is q(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78693.23um in meters?\nAnswer: 0.07869323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s + 62*s - 116 = 0. Which is smaller: -33 or s?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y + 14 = s + 24*y, -2*y = 3*s - 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 16*x - 9. Let n(r) = -2*r. Let w(k) = -5*n(k) - u(k). Let d = 13 - 10. Let g be w(d). Solve 2*a + 5*f + 10 = -g, a + 2*f + 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = 6. Let r = 13 - 10. What is the smallest common multiple of 1\/((-7 + r)\/(-28)) and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90.49 + 59.49. Is -48 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2140\/140 + -15 - 13\/21. Is -4.158 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362180 divided by -199.\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 7*m + 10. Let j be l(-7). Is j less than or equal to 17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*u + 11992*u**3 - 6457*u**3 - 7*u + 263536*u**3.\nAnswer: 269071*u**3 + 65*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4142107?\nAnswer: 41, 101027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, k: 2, u: 2, e: 4}. What is prob of sequence nen?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 23*z - 26. Let t(w) = -26*w + 23. What is -6*p(c) - 5*t(c)?\nAnswer: -8*c + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 553, 631, 727, 835, 949, 1063, 1171?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 2*d**2 - 2*d**3 + (4 + 1 - 4)*(-19*d**3 + 11*d**3 - 14*d**3) + 3*d**3 + 3*d**3 - 4*d**3 as z*d**3 + u + b*d + o*d**2 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112735?\nAnswer: 5, 13, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(77) - 2*sqrt(77)*-2)\/((sqrt(396) - sqrt(396)*3 - sqrt(396))*-5).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 2*p - 5*g, 288*g - 287*g - 31 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13792 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 272*f**8\/21 + 199*f**4 + 4617*f**2. Find the second derivative of u(n) wrt n.\nAnswer: 87040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 18*n - 16*n. Let x = -136 - n. Let c be x\/(((-5)\/(-5))\/1306000). What is c rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0562*-0.1\nAnswer: -0.00562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004339 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let g be 2\/8 + (-22)\/(-8). Suppose b = g*b. Let u(i) = -3*i + b*i + 6*i. Determine u(f(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*z + 2860015, 3*s = -2*s + 5*z - 2859985. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4482 + 852 = 6*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -546 - -786. 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: What comes next: -187553, -375107, -562661?\nAnswer: -750215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -0.43.\nAnswer: 13.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3\/3 + 44*b**2 + 68*b + 50. What is the first derivative of m(s) wrt s?\nAnswer: 2*s + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-206)\/309)\/(6\/(-2295)). Is 242 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143)\/(-390) + 8\/(-48).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 3*n - 5*n - 4*n + 4*n - 3*n + (18 - 2 - 5)*(67 + n - 36 - 45) in the form y*n + u and give u.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 85\/(-4) - (-21)\/(-28). Let i be l\/(-5) + (-18)\/45. Put 9, 2, i, -2 in descending order.\nAnswer: 9, i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -186*m**2 + 64*m - 54. Calculate u(1).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 4*b - 3*c - 18 = 0, 3*b - 4*c - 13 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -0.3, 1\/8, -2\/23, -2\/9 in increasing order.\nAnswer: -134, -0.3, -2\/9, -2\/23, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12200 + -102020210011?\nAnswer: -102020222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**4 - i**4 + 2*i**4 + (5*i - 3*i - i)*(-252 + 2*i**3 - 59 + i**2 - 40) in the form k + v*i**2 + y*i**4 + h*i + m*i**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142874 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 636022*r**3 + 216237*r?\nAnswer: 3816132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4301.45698 rounded to 1 decimal place?\nAnswer: -4301.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(-2\/5)*m))\/m**(-10\/7)*(m**15)**(2\/39) assuming m is positive.\nAnswer: m**(272\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-1*4)\/sqrt(11))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2445.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2*l + 3)*(-4 + 3 + 3) + 0*l - l - 2*l)*(7 - 7 - 255*l) + 0*l + l**2 + 0*l to the form s*l**2 + z*l + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 2, f: 4, u: 1}. Give prob of picking 3 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.045 in 1\/26, 4, -256, 0?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*n - 2375 - 3754, -2*r = -5*n - 12261. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 12, i: 5}. What is prob of picking 3 i?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 170537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -260 + 2*i**3 + 300 + 0*i**3 in the form k*i + q + f*i**2 + u*i**3 and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 176*y - 2*y**2 + 0*y**2 + 2*y**3 - 3*y**3.\nAnswer: -y**3 - 2*y**2 + 176*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 191\/4 + 2\/8. Let i be (-3824)\/40*2\/(-4). Let x = i - j. What is the common denominator of x and 48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*j**5 - 3*j**3 + 93*j**4 - 93*j**4 + (1 - 6 + 3)*(2*j**5 + 1 - 1).\nAnswer: -32*j**5 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3)**50*c**(3\/8)*c**(-6\/7))**48 assuming c is positive.\nAnswer: c**(67038\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - w = 9*w - 864. What is the remainder when 256 is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 9*m - 18. Let a be b(12). Let p = -8 - a. What is the third derivative of p*t**5 - 94*t**5 - 72*t**5 + 12*t**2 wrt t?\nAnswer: 1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970152 = -6993*p - 17300*p - 584600 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1329 and -1.\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - 4*o**3 + 4*o**3 + (959*o**3 + 505*o**3 + 784*o**3)*(-6*o**2 + 4*o**2 - o**2).\nAnswer: -6742*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6118829 is divided by 298.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66638870 divided by -6663887.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 628586598466.000000914 + -628586597815. Let v = -651 + y. Round v to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 8 - 2, 7 = 5*m + h. Suppose m*s = -x + 62, 5*s + 173 - 31 = 3*x. Let w = x - -5. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -11*o**5\/60 - o**3\/6 + 3*o**2. Let j be m(-1). Let k = j - -17. Which is the closest to -1? (a) -1 (b) k (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233.078 + -0.078. Let j = s + -329. Is j less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/3 + 2*c**2 + 14*c. What is t(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i + 5. Let d(v) = v**3 + 5*v**2 - 2*v - 6. Let j be d(i). Solve 11 = -3*o - j*l, 0*o - 3*o = 2*l + 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -1873*a**7\/70 + 1099*a**5\/60 - a**4\/8 - 12*a**2 + 24*a - 1. Find the third derivative of f(z) wrt z.\nAnswer: -134856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10596241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/16 and -71\/2522.\nAnswer: 20176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 421, 4\/3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5255753 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 0 + 1 - 5. Let a be u(-3). Solve 0*s - 3*s = 2*n - a, 2*n - 4 = -4*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1.12\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5111)\/2421*30\/171\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -90716905\nAnswer: 362867620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -150352085\nAnswer: -150352084.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 1895, 1, -2 in descending order.\nAnswer: 1895, 11, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*o - 50 + 65 = 0, 10 = -4*m - 2*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295 + -2947\/10. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.148638128 rounded to three decimal places?\nAnswer: -3.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17408, 4, -1, 0 in increasing order.\nAnswer: -17408, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293690597?\nAnswer: 293690597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:42 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 50660*c**2. Let q(y) = 13*y**2. Let g(a) = 6*b(a) - 23244*q(a). Let x(o) = -o**2. Calculate x(g(n)).\nAnswer: -3196944*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 235193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -83, -97, -115, -137?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -34) + -10 + 0 - (-16 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2821461 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -21) + (-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:23 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 2*n - 5*y, -21*y - 83 = 5*n - 303 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04724 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q\/((q*(q**(-1)\/q)\/q)\/q)*q)**(3\/17)\/((q*q*q\/(q\/q**(-12))*q*q)\/(q\/((q**(2\/9)\/q)\/q)*q)))**(-46))**(1\/8) assuming q is positive.\nAnswer: q**(-23207\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 6*t - 162 = -151, 2*j + 2*t - 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(w - 3*w + 3*w) + (-1130 - 964 + 2226)*(4 - 4 + 2*w + (-5 + 0 + 3)*(2*w - 3*w - w) + 2 - 1 - 3 + w) as q*w + f and give q.\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -948.\nAnswer: -16\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k + 10*k - 2*k**2 + 361 - 12*k + 61*k wrt k.\nAnswer: -4*k + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 288*w - 4880. Calculate y(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1472, -2695, -6026, -12521, -23236?\nAnswer: -39227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - z + 42, 4*z = -a + 6*a - 42. Suppose 3*g - 29 = -3*d + 43, 3*g = -3. Let t = d - a. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71, -422, -1349, -3134, -6059, -10406, -16457, -24494?\n\"Answer: -47*g**3 - 6*g**2 - 4*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - (-17 + 0)) + 26 + (7 - 16)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - m - 14, 4*z - 3*m + 18 = -2*m. Let r = z + 6. Suppose -3*x - 2*w + 15 = -5*w, 0 = 3*x - r*w - 12. Solve x*f = -3*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 7, -4026?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 8*s**3 + 8*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 11*r + 236. Let l = -105 - r. Solve -l - 12 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b\/(b*b**11\/b))\/b)\/b**(-2\/7))**(-48) assuming b is positive.\nAnswer: b**(2928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59\/76 - 39\/38. What is the second smallest value in 4, 5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/24 - v**4\/24 - v**3\/6 - 2*v**2. Let c be l(-1). Solve 4*w + 9 - 37 = c*m, 2 = -m - w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033022 - -22030?\nAnswer: 1121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80\/12*(-294)\/(-4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:26 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817961699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/23? (a) -2\/309 (b) 2\/5 (c) 8 (d) -8 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from jffjfffjfjjffjffffj.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*f*k*n*q + 2*f*n**2*q**2 - 440*f*n*q**2 + 214*k*n**2*q**2 + 2*q**2 wrt k?\nAnswer: -7*f*n*q + 214*n**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2383 is divided by 642?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*y**5 - 4*y**3 + 34*y - 35?\nAnswer: -580*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 135 + 75 = 0. Suppose 1830 = -g*h + 4574. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2 not equal to 0.378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jby when three letters picked without replacement from jajbayj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 0*o + 4*o. Let r(u) = -11*u**2 - 48*u - 3. Let s(j) = -56*j**2 - 256*j - 16. Let f(n) = 16*r(n) - 3*s(n). Calculate q(f(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35960 by -124.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12247960 by 2449592.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*z**6 + 27*z**5 - 251*z**3 - 1505*z**2 - 172 wrt z.\nAnswer: -1560*z**3 + 1620*z**2 - 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -22) + -23 - (1 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -212 + -21aba?\nAnswer: -22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-110)*-11)\/(15\/(-95))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*j - 6 = 4*j, 0 = -2*u + 3*j + 7. Suppose -u*v + s + 75 = 0, 3*s = 5*v - v - 147. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 2 + (3*sqrt(432)*3*6)**2 + 0.\nAnswer: 1259714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*10*3\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and -4.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 6*r**2 - 11*r**2 - 14*r**2.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2 + 10\/6). Suppose a - v - 1 = 0. Suppose 3*y + w = 12, 0*y - a*w + 4 = 2*y. Solve 1 = 2*p - 2*z - 1, p - 4*z = -y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*s**2 - 1020*s**2 + 1576*s**2.\nAnswer: 898*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10935252 to the power of 1\/2, to the nearest integer?\nAnswer: 3307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 + 1 - 2 - 2*z + 0*z**2)*(-23*z**3 + 98 - 98).\nAnswer: -161*z**5 + 46*z**4 + 23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftttddfte. Give prob of picking 1 f, 2 d, and 1 t.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280082146 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33053233 (base 6) in base 15?\nAnswer: 14769c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/38)\/(3862\/(-1063981)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 28.45. Let b = 0.07 + t. Round b to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-1 - (-2355)\/(-2)). Let k be 1217 - 0\/(-5 + 0). Let y = r + k. Find the common denominator of y and -31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(117) + -1*sqrt(637))*5.\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 3\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**4 + 9072080*w**3 + 4115131776315*w**2 - 9072080*w - 4115131776320 = 0.\nAnswer: -907208, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 0 + 2 + -2 + -2. Factor -292*u + 12*u + 21 + 18*u**4 - 130*u**3 + 11 + 16 + 316*u**m.\nAnswer: 2*(u - 3)*(u - 2)**2*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(-10)\/(-1) - -2. Let y(z) = -3*z - 3 + 1 - 4*z**2 + 5*z**2. Let x(a) = 4 - 4*a - 5 + 2*a**2 - 2. Give w*y(l) + 2*x(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885 > 6073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 4*b + 4. Let s = 30 - 19. Let j(f) = f**3 - 12*f**2 + 11*f + 5. Let h be j(s). Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5839204 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -47286.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -75604?\nAnswer: -75601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 280731909 divided by -2?\nAnswer: -280731909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 13*o**2 - 2. Suppose 3*b = 3*m + 32 - 8, 3*b - 9 = 0. Let p be (39\/(-15))\/(m\/25). Give u(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 22*h - 3. Let g be c(2). Let x = g + -15. Suppose 4*z - x = 22. Solve -2*d = 2*d + z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 48 = 5*m. Let g(o) = -12*o + o**2 + 10*o - 6 + 3*o + 5*o + 2*o. What is g(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 2. Suppose -4*w + 2*h = 3*h - 105, 3*w + 5*h - 100 = 0. Let m = w + -33. Let r = m - -3. Determine n(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rdrlrlrardrrdrrrrrd.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -522237 in 2\/17, 2.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010010021200 (base 3) in base 6?\nAnswer: 55253330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 8.2. Let c = s + 3. Let w = -0.08 - -4.08. Sort w, c, -0.1 in ascending order.\nAnswer: -0.1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 68*y**2. Let k(d) = 20*d**2. Calculate r(k(x)).\nAnswer: 27200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8524 minus -163917956?\nAnswer: 163909432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 17600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/85 (b) -14 (c) -35 (d) 0.5 (e) 207\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 5*q**2 - 12*q + 22. Determine l(4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7 - 5 = 5*t, 0 = -5*w + 15. Let l be -2*3\/((-6)\/1). Let n(g) = -g**3 - 4*g + l - 6 + 4*g - g**2. Determine n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101\/3 + -33. Put 4, -7, m in ascending order.\nAnswer: -7, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*f + 4*f + 180, 4*g + 3*f - 172 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 4*c - 2. Let k(q) = q. Let v = 182 + -107. Suppose 4*y - y - v = 0. Let w = y - 22. Give w*k(m) - r(m).\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2355.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 656113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-2)\/(7 - 9). Is (5\/(-10))\/(y\/(-230)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -5*y - 12, 2*t - 2*y = -18. Suppose f - 16 = -40. Let j = t - f. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7190448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01006951912 to five dps.\nAnswer: 0.01007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 - -25?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/24 + 30*s**2 - 2. Let o(y) = -196*y**2. Determine i(o(r)).\nAnswer: -196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16 - 12*o**2 - 3*o**3 - 82*o + 173*o - 90*o wrt o?\nAnswer: -18*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/420 and -82\/357.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.2783 to 1 dp.\nAnswer: 32.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110104 + -34634. What is z rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -423\nAnswer: -2538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - g - 117. Which is the second biggest value? (a) g (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 9) to base 16\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 8*y**2 + 7*y - 142. Let a be m(9). Solve 3*j + 25 = -a*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1370 + -356. Suppose 2*n = 5*n - p. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18034.84 rounded to the nearest ten?\nAnswer: 18030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/21 and 0 - (-10 - -12)\/(196\/(-58))?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otow when four letters picked without replacement from {z: 2, w: 1, t: 1, o: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3584 and 9072?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 4. Let p be (7\/(-2) - -3)*-6. Suppose -5*o - 2*u = -114, 123 = 5*o + 2*u - p*u. Calculate the greatest common factor of g and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 71. Let i be m(15). What is the second derivative of 4*s + 3*s**2 - 2*s**2 - 2*s**2 - 2*s**3 + 4*s**2 + s**2 + i wrt s?\nAnswer: -12*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(171) - -4*sqrt(171))*1 + sqrt(171))**2.\nAnswer: 144*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -39.65?\nAnswer: 198.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48575 + -48575. What is f in -7\/2*f**2 + t*f + 2 + 3\/2*f**3 = 0?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317*q**2*s**3 - 3*q**2*s**2 + q**2*s - 217*q*s**2 + 4*s**3 wrt q?\nAnswer: -634*s**3 - 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 22*p. Let d(z) = 2*z. Let q(b) = 20*d(b) - 2*r(b). Let s(k) = 2 - 167*k**2 + 181*k**2 - 2 + 0. What is q(s(t))?\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3))**(15\/7)\/(p**(1\/4)*p*p**6))**(3\/16) assuming p is positive.\nAnswer: p**(-729\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2 - 2)*(2*d**2 + 25 - 25)*(4 - 4 + d**2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -682*l**2. Let j(y) = 39*y**2. Let q = 13466 + -13461. Give q*h(r) + 88*j(r).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3*l**4\/2 - 2*l - 8. Differentiate q(p) wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.09, 2\/5, 0.1, 0 in ascending order.\nAnswer: 0, 0.1, 2\/5, 15.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -672*i + 679*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -42154566?\nAnswer: 42154563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-9 - -5) + -1 + -6 + 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -235, -458, -681?\n\"Answer: -223*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39502738 or -39502732?\nAnswer: -39502738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/13 + 72*c**3\/13 + 596*c**2\/13 - 72*c\/13 - 46 = 0.\nAnswer: -23, -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:28 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -16465 bigger than -16466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5492 + 5542. Suppose 4*v = -8*q + 3*q + 65, -q + 32 = -3*v. Calculate the remainder when k is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -11*g. Solve a - 5*a - 20 = g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*y + 36. What is the tens digit of 1253\/49 - y\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*o + 186102 = 0, 2*r - 11*o + 7*o - 186086 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose -r - 6 = m - 0*r, -x*m - r = 8. Which is the nearest to m? (a) 3 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41410246 plus 18049?\nAnswer: -41392197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - 386*y**3 + 1581*y**3 - 15*y**2 + 22*y**2 as w + d*y**3 + s*y**2 + o*y and give d.\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -38. What is the remainder when 41 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*s + 2*g, 3*s - 8*s - 3*g + 10 = 0. Suppose -v = s - 1, -v - 68004 = j. What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diidi. Give prob of sequence idii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64566182 to the power of 1\/2, to the nearest integer?\nAnswer: 8035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*k**2 + 3)*(3*k + 16*k + 7*k) in the form c*k + o*k**2 + g*k**3 + i and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: f6e476 (base 16) to base 4\nAnswer: 331232101312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 455 - 452. Let b(c) = -c**3 + 4*c**2 + 3*c - 8. Let i be b(4). Factor 0*z**i + 9*z**k + 0*z**4 + 2*z**4 - 5*z**4.\nAnswer: -3*z**3*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*c + 432*c - 280*c to the form q + d*c and give d.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t = -5*s + 412, -t = -5*s - 2954 + 3177 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-64)*6\/9*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/1435 and -54\/1435.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 27*q**2 + 27*q - 37. Let r be d(26). Let z = r + -84. Let x = -79 - z. Calculate the smallest common multiple of 32 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 equal to -34.6101677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvyddndvdd. What is prob of sequence vy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + -0.25. Let s = 11 - 10. Let i(k) = -k**3 + 20*k**2 - 282*k + 2483. Let m be i(13). What is the closest to m in s, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 66*j - 17. Let z(d) = -62*d**2. Let c(s) = 555*s**2. Let x(g) = c(g) + 9*z(g). Determine i(x(w)).\nAnswer: -198*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24279838*b**3 - 8*b**2 - 4061397.\nAnswer: 145679028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 11*q + 12. Let d = -11 + 23. Let a be j(d). Suppose -25 = -4*g - g. Sort 3, g, a in decreasing order.\nAnswer: g, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101101101100 (base 2) to base 10\nAnswer: -7020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)\/k*k\/(k**(-8)*k*k)*(k\/(k*k*k**(-1\/2)*k))\/k*k\/(k*k**1*k)*((k**7*k)\/k**(-6))\/(k**(-2\/7))**(-2\/95) assuming k is positive.\nAnswer: k**(19277\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(13\/4 - 123\/(-164)). Solve 5*t - 3*y - 22 = -0*t, p*t - 12 = y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476423419.\nAnswer: 17, 71, 394717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*j**4 - 18\/5*j**2 + 14\/5*j + 2*j**3 - 4\/5 = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 323?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 4 + 4*z + 5.\nAnswer: 4*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32664, -65126, -97588, -130050, -162512, -194974?\nAnswer: -227436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13500 = 2*b, -2*t + 6763 = b + 3*t. Suppose 0 = 15*s - 12*s - b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w - 2*t = 61*w - 4, -4*w = 5*t - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:05 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10643*-0.3297.\nAnswer: -3508.9971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 8*v - 6. Let f be i(-9). Suppose -4*a + 2*j + 37 + 9 = 0, -43 = -4*a + 5*j. Sort f, a, 4 in decreasing order.\nAnswer: a, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 2\/5, 1\/6, 0, -4, -19, 1.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -46. Calculate the greatest common divisor of 87 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 4*l**2 - 2*l + 2. Give x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 5. Let h(i) = -2*i. Calculate h(j(l)).\nAnswer: 4*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/2 + 1099*r**2\/2 - 1652*r + 1102 = 0.\nAnswer: -1102, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7370 or -5867?\nAnswer: -7370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 4, 202, 3 in increasing order.\nAnswer: -40, 3, 4, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5937680 by 36880.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/21*(-117)\/52.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 383. Let y(d) = -d**2. Determine y(j(n)).\nAnswer: -4*n**2 + 1532*n - 146689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**2 + 0*z**2 + 15*z**2)*(-z - z + 3*z) to the form k + f*z + s*z**2 + m*z**3 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 8*t + 14 - 28)*(-t**4 + 0*t**4 - 2*t**4).\nAnswer: 24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -3*v**3\/2 + 5*v**2\/2 - 3*v. Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 + -161 - -135 - 14?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -3*t**2\/2 - 5*t + 3. Is w(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938125.1cm in micrometers?\nAnswer: 9381251000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywlmlfd. What is prob of picking 1 m, 1 l, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2305 - 2257. Solve -6 + q = 7*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**2 - 6*o + 4. Let v(a) = 12*a + 2*a + 23*a**2 + 3*a - 12. Let u(n) = -6*v(n) - 17*z(n). Let k(s) = -2*s**2 + 5. Give 4*k(l) - 5*u(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 18*d**2 - 3402*d + 65610.\nAnswer: 2*(d - 27)**2*(d + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, k: 2, n: 6, o: 5, q: 2}. What is prob of picking 1 o and 1 k?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -12. Let h = 0.14 - 0.04. Which is greater: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 25.4. Let i = 4.5 - f. Let x = 0.56 + -0.06. Which is the nearest to i? (a) x (b) 1\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010349651 to seven dps.\nAnswer: -0.0001035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -3188756.6231 and -25.\nAnswer: -3188781.6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/26 and ((-2)\/(-32))\/(6\/472).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61, -101, -173, -283, -437, -641, -901, -1223?\n\"Answer: -a**3 - 10*a**2 - 3*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2aa84a9 (base 12) to base 16\nAnswer: -847ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**4\/2 - l**3\/3 + l**2\/2 - l + 19. Let r(x) = x**2 - 4*x + 2. Let a be r(2). Does 9 divide s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bf - 5?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(1377) + -2 + -1)**2 - ((-3*(-1 + sqrt(425)))**2 + sqrt(425) + -1*(sqrt(425) + -1))).\nAnswer: -12245 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 1. Suppose 18 = 5*y + 8. Let u(c) = 80 - 23 + y*c - 30 - 23. Let s = 3 - 2. Calculate s*u(n) + 4*x(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 54\/5 of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m. Let l(i) = i**3 + i**2 + i + 1. Let g be l(-1). Is g + m - -1 - -12 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6869 + -6868.9999968296. Round g to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 20*d**2 + 4. Let h(x) = -28*x. Calculate h(b(v)).\nAnswer: -560*v**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 16. What is the derivative of -11 - 10*u**4 + 20 + y - 11*u**4 wrt u?\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103043441 - 21?\nAnswer: 103043420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(96\/104))\/((-15)\/12). Which is the third smallest value? (a) -6 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11240, 22579, 33940, 45323, 56728, 68155?\n\"Answer: 11*p**2 + 11306*p - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26225 divided by 6629.\nAnswer: 26225\/6629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -48. Let h(r) = r**2 + 7*r + 6. What is h(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -20. Suppose -r = -4*r + c. What is the nearest to -1 in 3, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**2*q**2 - 6537*p**2*q - 2*p*q**2 + 6*p*q + 3*p - 230*q**2 wrt p.\nAnswer: -12*q**2 - 13074*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1021001?\nAnswer: -1020331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 32*k + 1. Let v be r(-32). Put -3, v, 6, 11 in descending order.\nAnswer: 11, 6, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -424621582, -424621585, -424621588, -424621591?\n\"Answer: -3*z - 424621579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -28*b**2 + 2*b + 10. Let f be g(5). What is f rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 8843968?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242896 is divided by 264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 27*n - 53. Let t(y) = 5*y**2 - 13*y - 27. Let b(u) = -4*s(u) + 7*t(u). Let i be b(18). What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**2 - 23*h. Let m(u) = 3*u. Give m(w(z)).\nAnswer: 33*z**2 - 69*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20271617 is divided by 10135800?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**3\/3 - 3*l**2\/2 - 3*l - 733. Let m(w) = 3*w**2 - 7*w - 7. Determine 7*f(v) - 3*m(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 15. Let w be v(4). Let o = -20 - w. Let q(l) = 2*l**2 + l - 3*l**2 - l**o + 5*l**2 - 1 - 2. Determine q(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 14*b**2 + 30*b - 22. What is the least common multiple of t(12) and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6306*i**2*q - 5*i**2 - 20*i - 28 wrt q?\nAnswer: 6306*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 3*g - 4 - 131 - 55.\nAnswer: 3*g - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518*n + 556*n - 76 = 0. Put 5, n, 0, -57 in increasing order.\nAnswer: -57, 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2652.42225906 - 2652.42. Round h to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**2 - 8*h + 3. Let a be w(-7). Let j = a + -1. What is the highest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h**2 + 1589*h - 10*h**2 + 2 - 6*h**3 - 1579*h + 30*h**2 to the form u + x*h + j*h**2 + f*h**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 5. Let j(k) = -k - 1. Let h(n) = -2*n**3 - 4*n**2 - 3*n. Let c be h(-2). Suppose 0 = -2*u + c*u + 20. Determine u*j(s) - v(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (13 - (-11 + 8 + 5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 45*v - 46*v - 31*p, 2*p = 4*v - 54 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42940\/3390)\/(3\/(27\/(-2)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64580*w**3 - 61651 wrt w?\nAnswer: 193740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - (-1376)\/24. Suppose p = 3*h + 1. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1. Let h(s) be the third derivative of s**4\/24 + 3*s**2. Let p(k) = -2*h(k) - q(k). What is the first derivative of p(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a factor of 6669540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.5. Let g be ((-1)\/(-2))\/((-1)\/4). Let f be 7\/7*(-2)\/24 + 25\/75. What is the nearest to f in t, 2\/9, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642759 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 + 116*f = 0.\nAnswer: 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2165 is divided by 720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 66.6 * 0.1\nAnswer: 6.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52059 from -0.7720491.\nAnswer: -52059.7720491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34246 + k - 4*k + 4*k.\nAnswer: k - 34246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005111 to six dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 19*i**4\/24 - i**3\/3 + 2*i**2. Let k = 43 + -36. Is u(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 6. Let t be a(-6). List the prime factors of (-2 - 0\/(-2)) + t + 95.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1902 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z. Let v(h) = 4*h**2 - 2*h. Let x(p) = -3*p**2 + 3*p. Let b(j) = -3*v(j) - 2*x(j). What is r(b(d))?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*(-54 + (-21230)\/(-495))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/284*-2*((-588)\/(-63))\/14?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17588688 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 789652169 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-72)\/(-34)) - 148\/(-592). Let n be ((-24)\/(-16))\/((-2)\/4). Put n, x, -2\/35 in decreasing order.\nAnswer: -2\/35, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b44 + -7?\nAnswer: 1b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**2 + 89*p + 1147. Let f be j(0). Calculate the highest common divisor of 62 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/24463?\nAnswer: -6\/24463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -32\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (6 - (11 - 10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -49449.\nAnswer: -593388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 0 (b) 0.3743 (c) -23 (d) -5 (e) -0.1 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1470*p + 176 = 1472*p. What is the smallest common multiple of 99 and p?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13600 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -95*x**2 + 6*x + 27. Let y(g) = 2*g**2 + g + 5. Give -r(t) + 6*y(t).\nAnswer: 107*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, 705, 2309, 5409, 10503, 18089, 28665?\n\"Answer: 83*s**3 + s**2 + 22*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.25258 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*s - 3 + 3.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 77*g + 3545. Is 13 a factor of b(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888 and 2442?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27800.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15648 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7395725 to the power of 1\/2, to the nearest integer?\nAnswer: 2720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*x + 180, 2*c - 114 = 5*x + 6. Let p = c - 58. Solve -4*u - 2 = p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - (-6012)\/216) + ((-95)\/90 - 8\/(-36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 53899*w**2 + 5203113 + 53897*w**2 + 2*w - 2601554 - 2601559.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -620, -1088, -1562, -2042, -2528, -3020?\nAnswer: -3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 10145 in ascending order.\nAnswer: -7, 3, 10145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6793572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d = 26 + 54 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1034543704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 100*b + 1. Calculate the remainder when o(2) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 705 = -0*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*q + 20, -5*k - 11 = q - 0*k. Let f = q + 3. Let a be (f\/(-7))\/(1\/130000). What is a rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:32 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0. Let f = v + -0.6. Let o be ((-5)\/(-25))\/(3\/(-2)). What is the biggest value in o, f, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + 39 + -43.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1111?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 1*(sqrt(637) - (sqrt(637) + 3 + sqrt(637))) - sqrt(637)*4*-4) + 2 + 3*(sqrt(637) + sqrt(637) + sqrt(637) + -2 + -2)**2.\nAnswer: -392*sqrt(13) + 17246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v - 244 + 740 - 240 - 260 - 11*v.\nAnswer: -42*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let g(m) be the first derivative of 3 + 0*m - 3\/2*m**2. Determine g(t(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 30*a**2 - 16*a**2 - 13*a**2 - 8*a + 2*a - 11. Let x be t(8). Suppose -x*h + h + 48 = 0. What is the remainder when 42 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.178561 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**(2\/3)\/v*v)\/v))**11\/(v*v**13*v**(3\/5)\/v*v))**(3\/7))**(-2\/37) assuming v is positive.\nAnswer: v**(-2\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102017 is divided by 7286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -885770 or -885771?\nAnswer: -885771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 0.1, 74\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 24030 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(4 + (sqrt(200) - (2 + sqrt(200))) + sqrt(200) + (1*(-3*sqrt(200) - sqrt(200)) + sqrt(200) - sqrt(200)) + sqrt(200))*6*5)**2.\nAnswer: -6512400 + 648000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -377 (base 9) to base 3.\nAnswer: -102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -17*z**2. Let b(n) = -39*n**2 - 23*n**2 - 79*n**2. Give b(w(c)).\nAnswer: -40749*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -556556 - 2486344 = 22*q - 197*q. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, a: 2, f: 3, c: 6}. Give prob of picking 1 v, 2 f, and 1 a.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**3)**(-7) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/96 and -35\/153?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -20040?\nAnswer: 11\/2505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -96*k**2 + 5*k - 9. Let v(r) = 3*r**2 + r - 1. Determine n(c) - 6*v(c).\nAnswer: -114*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -8. Let w be (1000\/x)\/((-2)\/331200). Suppose d - 3*d + w = 0. Round d to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -170\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4898.8544 and -36.49?\nAnswer: 4935.3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156.6 + 551.4. Let k = -598 + x. Which is smaller: k or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 27 - 11)*(-4*q + 0*q - 3*q)*(-6*q + 3 - 3) + (-2 + 2 + q**2)*(4 - 2 - 3).\nAnswer: 1175*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -634488, -1268965, -1903458, -2537973, -3172516, -3807093, -4441710?\n\"Answer: -i**3 - 2*i**2 - 634464*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/165538423?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11396160? (a) -0.1 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/17 - 36*w**3\/17 + 64*w**2\/17 = 0. Calculate w.\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 0.2. Let k = 0.6 + j. Let s = 0.5 + k. Which is the nearest to -2? (a) s (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819, 820, 821, 822, 823?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-99) + 1196\/132?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - l**2 + 28*l - 12. Determine r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-90))\/(8\/20 - 0). Let t = 3 - 3.1. Which is the nearest to 2? (a) -1\/6 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2754*p - 2752*p - 2757*p - 2933*p + 16702*p - 2751*p - 2751*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.5, -0.3, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p. Let v(n) = 697*n. Calculate v(i(x)).\nAnswer: -7667*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 303340245 (base 6) in base 5?\nAnswer: 2313114204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(72)\/sqrt(4)*-1 + (sqrt(198) - sqrt(198)*-1)\/sqrt(11))\/(-2*sqrt(900)*-2 + sqrt(900)).\nAnswer: sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*c + 55*c = -2890 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h**4 - 48215*h**3 + 24768585*h**2 - 1441909525*h - 580729870 = 0.\nAnswer: -2\/5, 67, 931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 17*p + 32. Let z be i(-2). What is the second smallest value in z, 0.5, -2\/23, -2\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7) + (-2 - (-10 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 88 and 0.09?\nAnswer: 87.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*c**4 + 338*c**2 + 250*c**2 - 416*c**2 + 14*c**4 + 2592*c wrt c?\nAnswer: 60*c**2 + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/315 and (-69)\/115 + (-83)\/(-75).\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 39.51. Let u = -0.49 - k. What is the nearest to -2 in u, -0.4, -1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*y*z**4 + 180*y*z**2 - 38*y*z - 2145*y - 28 wrt z.\nAnswer: 8*y*z**3 + 360*y*z - 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r - 65*r - 3 + 1)*(-13 + 6 - 4).\nAnswer: 451*r + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 3810.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1172b7 (base 12) to base 8\nAnswer: -1046753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 93443114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191.2 - 191.5. Let i = -6 + 3. What is the nearest to i in -3, -2, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98031 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m. Let o(w) = -10*w. Let p(l) = 33*l**2 + 3*l**3 - 8 + 2*l - 59*l**2 + 32*l**2 - 4*l**3. Let x be p(6). Determine x*y(q) + 3*o(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1)*(2\/120)\/((-16)\/(-20)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/5)\/(6\/20). Suppose 3*y = 3*g - 464994, m*g = g + 4*y + 464992. Round g to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 28*w - 66. Give p(31).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-270)\/(-900))\/((-3)\/5))\/((-13)\/4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -37. Let k = 34 + n. Which is the third biggest value? (a) 5 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/15 and -11\/218478?\nAnswer: 1092390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 3*t**2 - t**4)*(1 + 2 - 2) + (0*t + 2*t + 0*t)*(0*t + 0*t + 2*t**3).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:52 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 14*z**2 - 168*z - 166. Let h be n(6). Factor 1\/3*y + 1\/3*y**2 + h.\nAnswer: y*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**4 + 3*s**3 - 236*s**2 - 235*s + 3610. Let p(l) = -2*l**4 - 2*l**3 + 118*l**2 + 118*l - 1804. Let a(v) = 2*j(v) + 5*p(v). Factor a(z).\nAnswer: -2*(z - 5)**2*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 41*m + 68. Let v be t(-15). Calculate the lowest common multiple of v\/(-2) + 416\/52 and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1976*m - 2090*m + 684 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57 from -5716.7.\nAnswer: -5773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 - 1307\/12. Let c = -3776 + 37659\/10. Find the common denominator of c and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 80.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.3 + 19.4. What is the smallest value in 7, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = -14*y + 15*y, 2*y - 2 = 0. Let -6*f**5 + f**5 + 3*f**p + 6*f**5 - 4*f**3 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.774447 to three decimal places.\nAnswer: 0.774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 13 = -5*m, 4*c = 5*m + 39 - 2. Suppose 2 - c = -2*t. Solve t*j + 35 = 3*a + 11, -a + 5*j + 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3*(sqrt(5) + 1))*-5*-3)**2*-4 + 0.\nAnswer: -54900 - 21600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 bigger than 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368 = y + 3*i - 1388, -4*y + 5*i - 22 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16865279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -11 + (-9 - -27). Solve -g - b = 4*w - 2, w = 4*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 14 = 3*b, -4*b - 11 = -5*a - 36 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24485 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 17. Let z be p(8). Let t = z + -9. Let f be ((-11)\/66)\/(t\/8). Sort -1\/3, f, 9.\nAnswer: -1\/3, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, -178, -507, -980, -1603, -2382, -3323, -4432?\n\"Answer: -o**3 - 63*o**2 + 5*o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 8*b + 8. Suppose -r - 8 = -2. Let l be g(r). Find the common denominator of l\/(-38) - 225\/171 and -6\/5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/6*(-33)\/(-22). Let j be ((-9)\/6)\/(6\/(-8)). Suppose 3*m - 6 = -q*t, -6*t + j*m = -t - 19. Solve 1 = c + t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4\/(-20)) - (3\/51 - 5)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413726388 to the nearest integer?\nAnswer: 20340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3718351225 to the nearest integer?\nAnswer: 60978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 6, -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -31*u**8\/56 + u**7\/105 + 134*u**5\/15 + 2*u**2 - 199*u. What is the third derivative of f(p) wrt p?\nAnswer: -11160*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 14*p - 11*p + (0*p - 5*p - p)*(-5 + 2 - 1).\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {p: 1, e: 1, d: 1, y: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:54 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = d + 1, 5*o = -2*d - 3 + 1. Let u = 20 - d. What is the remainder when 102 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12097505, 24195005, 36292499, 48389987, 60487469, 72584945?\nAnswer: 84682415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403 (base 8) to base 10.\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 76000*q + 2131136.\nAnswer: -4*(q - 28)*(q + 19028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*n - 811 - 2913 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 + 5300*b + 189485616 = 0. Calculate b.\nAnswer: -6252, 7577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19008, -76788, -173080, -307878, -481176, -692968?\n\"Answer: s**3 - 19262*s**2 - s + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 87. Calculate the remainder when 124 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((12 - 20) + 4)) + (-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 113501?\nAnswer: -113510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -128, -217, -304, -389, -472, -553, -632?\n\"Answer: x**2 - 92*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4600.2 to the nearest ten.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**4 - 108575*l**3 + 4*l - 1241638.\nAnswer: -48*l**2 - 651450*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 775\/(-100) - (-32)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*j = 5*m - 16, 0 = -2*m + j + 5. Find the third derivative of 0*n**2 + 0*n**4 + 4*n**m + n**2 wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22760959 = 22760960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-2976)\/750)\/((-6)\/(-5)). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and -59.3037.\nAnswer: -3024.4887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 d, and 1 h when four letters picked without replacement from dvncgdchn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 35. Suppose -4*q + 9 = -0*h - h, 2*h = -o*q + 4. Sort -3, h, 4 in descending order.\nAnswer: 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(117\/(-4)))\/((-38)\/57)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 3*a**2 + 3*a - 3. Let z be o(-4). Suppose 4*f = -k - 16, f = -4*f + 4*k + z. Let m = f - -7. Put -1, 3, m in ascending order.\nAnswer: -1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 9*u + 4*u)*(6 - 338*u + 662*u - 326*u).\nAnswer: -14*u**2 + 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r**3 + 8*r**2 + 356*r - 16. Let h(n) = 5*n**3 + 3*n**2 + 119*n - 6. Give 8*h(f) - 3*l(f).\nAnswer: -2*f**3 - 116*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39217142 a multiple of 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57048.\nAnswer: 2, 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-38))\/(-1))\/((-3)\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*h**2 + 16*h + 13507.\nAnswer: 112*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6728 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.0438 rounded to zero dps?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1200 and (453*(-10 - 118\/(-12)))\/(-120).\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/42 and 19\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1 + h + h - 3*h. Let k be f(-3). Find t such that -t**3 - 1\/2*t**k + t + 0*t**2 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39952)\/(-2724))\/(-1 - -2 - (-5 + 120\/18))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 14*j**3 + j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2078*y + 116637 = -279*y + 488*y for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4. Let w(k) = k - 1. Let j(p) = -r(p) + 3*w(p). Let f(d) = -13*d - 5. Give -4*f(i) - 18*j(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122590 and 780?\nAnswer: 735540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {l: 1, d: 10, u: 2, n: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 4346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.09 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {o: 4, g: 5, b: 8}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 86*c. Let q(g) = 346*g + 1. Give -9*b(u) + 2*q(u).\nAnswer: -82*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*p - 366 = 0, 2*x - 3*x + 3*p - 110 = 0. Let m = -185 - 112. Let w = x - m. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, 2, 3 in decreasing order.\nAnswer: 196, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1903*z + 13272. What is k(-7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914 times 0.4?\nAnswer: 1165.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30897341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -66859*8\nAnswer: -534872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 >= 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -1 - (-3)\/(-2). Let s = 9814 + -9813. What is the nearest to 1 in y, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*l = 529*l + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.2008535 to one decimal place.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 10 + 4*f + f**3 + 0*f**3 - 6*f as u + n*f**2 + r*f + l*f**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -16. Suppose -n*a + 4 = -2*o, 4*o - a - 12 = -3*a. Let h(g) = -4*g - o*g + 3*g + 2*g. Let s(y) = -11*y**2. What is s(h(m))?\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.44. Let t = -0.027 - u. Round t to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13830034 + -194.7?\nAnswer: 13829839.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (0 - 18 - (-167 - (60 + -61))).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + -10 - 25) + 89.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11984c58 + 0?\nAnswer: 11984c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 473377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789950.6 + -36?\nAnswer: -1789986.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102398?\nAnswer: 2, 51199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((112\/(-30))\/7)\/(37*9\/5994)\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 5891\/994?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 591009407 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8395 is divided by 4189.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 22053 = 3*y, 4*y = 3*g + 7*y - 13251. List the prime factors of g.\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*a - 86, -2*q - 2*a = -3*q + 13. Suppose -v = -4*i + 108, -4*v - v = i - 48. Let u = i - q. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 343*d - 69*d - 36*d - 75*d as z + n*d and give n.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/167202 and -59\/336.\nAnswer: 1337616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/34787 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/17, -5, 144, 6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 21 = -3*s, -2*y - 139 = -11*s - 67 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -50\/13*v**2 - 448\/13*v + 18\/13 = 0.\nAnswer: -9, 1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 28, 4, 3, -53 in ascending order.\nAnswer: -136, -53, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + a**2 - a**2 + (0*a - a + 2*a)*(2*a + 2 - 2) - 1 + 2*a**2 + 1.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-5 + -2 - -3)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1874 (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqqkqnnqkkqkkknknn. What is prob of sequence kqnq?\nAnswer: 245\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-246)\/13*62\/22568 and 97\/18?\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 10*g**2 + g + 4. Let s be q(10). Let h(y) = -15*y. Let w(d) = d - 6*d - d + 4*d. Give s*w(k) - 2*h(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 1 + 1)*(-2*m + m**2 + 2*m) - 4*m**3 + 3*m**3 + 2*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 1014, 2284, 4054, 6318, 9070?\nAnswer: 12304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**6 + 44887858*g**4 - 167309061*g**2.\nAnswer: -960*g**3 + 1077308592*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*a**5 + 0 + (-3 + 0 + 2)*(31*a**5 - a**5 + 8*a**5) + 2*a**5 - a**5 - 2*a**5.\nAnswer: -43*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/33*-2 - (-6)\/45*-10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 - -10?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 10 = -4*l, -2*l - 18627*i - 2 = -18629*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2\/39, -1\/8 in descending order.\nAnswer: -2\/39, -1\/8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/5 - 2*f**4\/3 + 104*f**3\/15 + 56*f**2\/5 - 128*f\/15 - 128\/15 = 0. What is f?\nAnswer: -4, -2, -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i + 121 = 83 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32780 and 0.4.\nAnswer: -13112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3936.941 to the nearest 10.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 + -370. Let s = u + 185.0000014. What is s rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 347516 by 173758.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016205 rounded to six decimal places?\nAnswer: 0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3630*l**2 + 2785*l**2 - 2686*l**2 + 1785*l**2.\nAnswer: 5514*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmg when three letters picked without replacement from pblbggmbb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -2.4. Let o = -0.3 + b. Let y = 34579 + -242059\/7. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 + -269. Let o(c) be the third derivative of 1\/60*c**5 + 0*c**3 + 0 + 0*c**4 - c**2 + y*c. Let s(g) = -g**2. Determine s(o(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116288 and 755872?\nAnswer: 1511744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35361.\nAnswer: 3, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 9604130?\nAnswer: 1\/9604130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t - 16. Let w be 7*((-2)\/(-10) + (-16)\/(-70)). Let h be m(w). Let c(a) = a - h - 26 + 49. Let n(b) = -24*b. Give n(c(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/60680 and 151\/2590?\nAnswer: 424760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -893, -1479, -2107, -2795, -3561, -4423?\nAnswer: -5399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -381*m - 19. Let x(o) = -382*o - 15. What is 4*u(q) - 5*x(q)?\nAnswer: 386*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 2*f, 8 = -2*f. Solve 8 = 3*q - y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*b**2 - 2 - 13*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -2783, -9562, -22765, -44534, -77011?\nAnswer: -122338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2*p**3 + 14*k**2*p - 416*k*p**4 - 96*p**2 + 5 wrt p.\nAnswer: -6*k**2 - 9984*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -186\nAnswer: 5\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8182?\nAnswer: 2, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gitti. Give prob of sequence ti.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c - 2. Let n be (76\/(-4) + 24)*(-1)\/1. Determine s(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79040\/(-76960))\/((-2)\/37)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 4*l = -52, -d + 26 = 2*l. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.4 (c) 0.1 (d) 75237 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144982 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 68 = 0. Let v = 91 + -158. What is the remainder when ((-5)\/(-5))\/((-1)\/v) is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2579 + 2248. Suppose 46 = 5*a - q. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31331 (base 4) in base 6?\nAnswer: -4045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 37, 93, 201, 379, 645?\n\"Answer: 3*u**3 - u**2 + 4*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3484*z. Let g(o) = 19*o**2. What is g(v(y))?\nAnswer: 230626864*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/360)\/((1\/4)\/((-70)\/140))*12?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 1. Let c(m) = 65*m + 8. What is c(v) + 6*o(v)?\nAnswer: 89*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 851, 265.\nAnswer: -3, 265, 851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1843*g*k**3 - 26*g*k**2 + 776*g*k - g + 444*k**3 + 6*k wrt k.\nAnswer: 11058*g + 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/13? (a) -0.3 (b) -1\/26 (c) -0.1 (d) 1\/10 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:30 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-3) + 2 + 3 + 58?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 767*o**2 + 101*o + 521. What are the prime factors of k(-6)?\nAnswer: 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 32*s**2 + 939*s + 81. What is the tens digit of m(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aarpppa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f**2 + 368*f**3 + 36*f**2 - 370*f**3 - 95*f**2.\nAnswer: -2*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/10*((-2945)\/38)\/(-31)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*l**6 + 16*l**2 + 11*l wrt l.\nAnswer: -30000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 905776 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -225528 divided by 56382?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/(-1))\/(2 + -1). Is (12 + r)*(-5)\/((-5)\/68) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*y - 9 = 0, -12 = 3*b + y + 3*y. Suppose 4*l = -0*p + 3*p + 40, 3*p = b. Let s(j) = 2*j + j**2 + l*j - 7*j. Give s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1357872 * -0.3\nAnswer: -407361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -75 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 + -82 + -2 + 0 - 8) + (-4 - 35).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 381*a - 4587. Calculate f(11).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/444900 and 13\/11789850?\nAnswer: 23579700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52152 + 0.02152. Let h be (-2)\/6 - (-44)\/24. Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y. Suppose 0 = 6*s + 2028 - 2016. Let a be (s\/(-5))\/(1\/(-10)). Put a, y, -5 in increasing order.\nAnswer: -5, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553486 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447283306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*v**4 - 86*v**2 + v wrt v?\nAnswer: -2688*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u - 248*u = -5737 - 7511 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(-3 - 1 + 3)*(-120*k + 46 - 46) in the form d + a*k and give a.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixixxxxixixxxiixxf. Give prob of picking 1 x and 1 i.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17164884 to the nearest integer?\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13677889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -60, 1137, 3152, 5985, 9636, 14105?\nAnswer: 19392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*z + 54634, 159*z - 27317 = 158*z + 4*f. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 - 2*s - 13. Let k(m) = 3*m**2 - m - 6. Let a(d) = -2*i(d) + 5*k(d). Let x be a(3). Suppose -1\/3*l**x + 0 + 1\/3*l = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.6 (c) 1\/400 (d) 0.3 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -39, 1.06, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181463?\nAnswer: 79, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*f - 63*f + 106*f + 2*f**2 to the form m*f**2 + k + d*f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21819882?\nAnswer: 2, 3, 7, 519521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199283?\nAnswer: 3, 399761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -47214844.6 rounded to the nearest 1000?\nAnswer: -47215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 4*o - 1, 19*j - 2*o + 17 = 22*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146918, -293851, -440784, -587717?\nAnswer: -734650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18678893?\nAnswer: 71, 263083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -11010020020202?\nAnswer: 11010020020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from sbsos.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-2)\/2)\/(-5 - -2). Let z be (1 - (4 + -3))*u. Suppose 3 = -2*n - 5*o, -o = -2*n + 3*o + 6. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 3)*(8*a**2 + 0*a**2 - 9*a**2)*(2 + 2 - 6) to the form i + y*a**2 + b*a and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - g - 1029. Let p(l) = 12*l**2. Calculate j(p(v)).\nAnswer: -288*v**4 - 12*v**2 - 1029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59414\/41613 - 368\/291. Calculate the common denominator of z and 79\/429.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let g = 242\/3 + -80. What is the biggest value in -2\/9, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103104002 or -1134144016\/11?\nAnswer: -103104002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 plus 0.1752489949?\nAnswer: 0.6652489949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3175855.476 to the nearest 10000.\nAnswer: 3180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 184, 458, 758, 1096, 1484, 1934, 2458?\n\"Answer: 2*v**3 + v**2 + 257*v - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a hour in seconds?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 189*y - 4. Let x(n) = -43*n. What is c(x(f))?\nAnswer: -8127*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 10*r**2 - 3*r - 26. Let i be t(-10). What is the closest to 2\/9 in 5, i, -1.102?\nAnswer: -1.102","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848459166 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) -11 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -51, -103, -175?\n\"Answer: -10*s**2 - 2*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20*l + 10. Let b be s(4). What is the greatest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -112*j + 59. Let g be i(-1). Solve -164*s + g*s = 42 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (-33 - (-93 - -71))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/(304\/(-730)) - 552\/1472?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/28)\/((-28)\/196)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1 - (-8)\/6). Let r = -183 - -178. What is the closest to -0.1 in n, -3, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1327*s**2 - 1277*s**2 + 2679*s**2. Let r(q) = q**2. Determine c(r(i)).\nAnswer: 75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2400)\/((-4120)\/103)*(-1*1)\/2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -331, -337, -345, -355, -367?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -33*c. Let i be y(-1). Suppose i = q - 0*q. Suppose -5*x + 352 = -q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*y + 69*y + y**2 + 95*y)*(-2*y**2 + 4*y - 4*y) as x + o*y**2 + k*y + l*y**3 + i*y**4 and give l.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24742 - 2?\nAnswer: 24740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3992 + -3628. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12*1 + (119 - -182) is divided by 60?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 18*n**2 - 17*n - 6. Let o be b(-17). Let v(l) = -21*l**3 + 11*l**2 + 11*l + 9. Let s(p) = -11*p**3 + 6*p**2 + 6*p + 5. Give o*v(f) + 11*s(f).\nAnswer: 5*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/7*(105740\/40 - -6). Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1510 - 15*k**2 - 1622 + 4753 - 1621.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 18*s**2 + 1811*s + 4*s**4 - s**4 - 5*s**3 + 3*s**3 - 1808*s to the form n*s**4 + o*s**2 + k*s**3 + g + q*s and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.45, -1\/2, -0.03, 4, 1, 0.1, 2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2790*l = 1192*l - 1996*l + 71561 + 162049 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4967*y**2 + 15082*y**2 - 4860*y**2 - 5036*y**2.\nAnswer: 219*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 650, 860, 1146, 1502, 1922?\nAnswer: 2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 354, 349, 344, 339, 334?\n\"Answer: -5*w + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, u: 1, w: 1, e: 2, n: 1}. Give prob of sequence wf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-34))\/(2028\/(-5746)) + 100\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/6251 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x - x)*(-3*x + x + x) + (-x + 0*x - 2*x)*(8*x - x - 3*x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3459.39452 to the nearest ten.\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m\/m**14)))\/m)\/m*m*m**(1\/42))\/((m\/(m\/((m**(3\/4)\/m)\/m)))\/((m**(-3)\/m)\/m)) assuming m is positive.\nAnswer: m**(-1489\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 2*b**2 - 6*b**2 + 4*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39\/1573)\/(-4 - -6). Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmmmymymmm. What is prob of sequence mmyy?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79711124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = 5*y. Suppose -b - y*b - 5*x + 28 = 0, 20 = 4*x. Let n = 3 + b. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 13. Let m be n(-16). Suppose -47*a = -37*a - 40. Solve -a = -m*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 17*w**2 + 29*w - 19. Determine k(11).\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1821176)\/(-20230) + -71 + -19.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-5 - (2 + 1) - (246 - 234))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 12, k: 3}. What is prob of sequence fykf?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 3. Let f be (-44)\/(-16) - 1\/(-4). Let s be r(f). Let n = 26 + s. What is the lowest common multiple of 10 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836*i = 854*i - 483462. Does 111 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 263706965?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2220 - 585. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 23 + 47. What is the remainder when h is divided by (1\/(-3))\/(1\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 111. Suppose -k + 5*k + 5*p = s, 2*k + 4*p = 34. What is the highest common factor of k and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -325 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-730)\/27375)\/(2\/6)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {n: 2, l: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 8654 - 8654.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66840298 to the nearest integer?\nAnswer: 8176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 356*q**5\/3 - 469*q**4 - 91916*q**3\/3 - 182386*q**2\/3 - 32144*q - 4199\/3 = 0. What is q?\nAnswer: -13, -1, -17\/356, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t**2 - 2*t - 1. Let j be c(2). Let f = 50 - j. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103104118?\nAnswer: 2, 1551552059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 + 21\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {i: 3, r: 6, c: 9, z: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**2 + a + 5*a - 8*a**2 + 8*a**3 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409833517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -526 + 705. Let r(a) = a**2 - 8 - 369*a + 0*a**2 + c*a + 0*a**2 + 179*a. Give r(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0*x**2 + 0*x**3 - 1\/33*x**4 - 20*x - 1\/55*x**6 + 0 - 7\/110*x**5. Determine c so that i(c) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2549048, 5098094, 7647140, 10196186, 12745232?\n\"Answer: 2549046*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/8 + 13923*g**4\/8 + 330309*g**3 + 32017335*g**2\/2 = 0. Calculate g.\nAnswer: -4445, -98, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4362 (base 11) to base 6.\nAnswer: -42351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**5 + 5*f**5 + 2*f**5 + (0*f**2 - 3*f**3 + 0*f**2)*(1 - 2*f**2 - 1) + 3 - 3 - f**5 + (-2 + 2 - 2*f**4)*(24 - 24 - 11*f).\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.65 (b) 1.1 (c) 1\/2 (d) -2\/5 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*3\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, -23, -93, -193, -323?\n\"Answer: -15*f**2 + 5*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/(c\/c**(-2\/11))))\/c)**(-2\/15)\/(c*c**12*c**(-42)))**(2\/7) assuming c is positive.\nAnswer: c**(9518\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 434.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3463?\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -427390 times 0.23\nAnswer: -98299.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1435 + -0.207. Let a = 0.047 + r. Let w = 0.028 + a. Round w to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932064117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*r + 793*r - 3906*r + 800*r + 776*r + 811*r.\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.64 - 0.2. Let l = 20.44 - h. Let k = l - 20.046. What is k rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 38*p**3 - 5*p**2 - 5. Let n = 815 - 810. Let f(m) = 57*m**3 - 8*m**2 - 8. Determine n*f(v) - 8*s(v).\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/58 and -21\/628.\nAnswer: 18212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*s + 92, -z - 2*s + 20 = -8. Differentiate -241*r + 241*r - z*r**4 - 46 wrt r.\nAnswer: -144*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -50*t + 255. Let k(o) = -17*o + 85. Let j(d) = -2*g(d) + 7*k(d). What is the first derivative of j(q) wrt q?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295311 + 52838. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t**(4\/9))\/(((t*(t\/(t*t**(1\/3))*t)\/t)\/t)\/t*(t**(-2\/9)\/t)\/t) assuming t is positive.\nAnswer: t**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -295771 - 0.1?\nAnswer: -295771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2057) - -5*sqrt(2057))*6 + ((sqrt(2057) - -3*sqrt(2057)) + 4 - sqrt(2057))*-5)**2.\nAnswer: -40920*sqrt(17) + 17791393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**3 + y**2 + 1. What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24100, 24099, 24098, 24097, 24096, 24095?\nAnswer: 24094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8799157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + b**2 + 4*b - 4. Let t(w) = -5*w**3 - 3*w**2 - 11*w + 11. Let y(g) = 8*q(g) + 3*t(g). Factor y(n).\nAnswer: (n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-2)*(-6)\/5. Solve 0 = -5*u - 0*u + 5*q + 25, -h*q - 3 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 = 8. Let f = -5 + x. Is -7 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2 + 6*v - 4. Let c(u) = 26*u**2 - 17*u + 12. Give -6*c(k) - 17*z(k).\nAnswer: -3*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 19. Let m be h\/24 + 30\/8. Find the second derivative of -29*x - 24*x**4 + 8*x - m*x - 2*x wrt x.\nAnswer: -288*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1348623*l - 18266761.\nAnswer: -1348623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223867?\nAnswer: 1223867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -74. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 59.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 - (-1 + -8) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 641 divided by -53\nAnswer: -641\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = n. Suppose 2*s - 3*i - 794 = 0, 1985 = -6*s + 11*s + 5*i. Let k = 397 - s. Solve n*b + f + 28 = 5*f, -b - 5*f + 5 = k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 202065, 202054, 202031, 201990, 201925, 201830?\n\"Answer: -m**3 - 4*m + 202070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4592 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.9 and 10013.\nAnswer: -69089.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s**5 - 2*s**4 + 2*s**2 - 39*s - 2. Let g(p) = -p**4 + p**2 - 1. Let w(y) = -2*g(y) + k(y). Find the second derivative of w(o) wrt o.\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 1827522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 15*l**2 - 7*l - 41. Let o be n(-17). Let j = o - 541. Calculate the remainder when j is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1988 - 1987.9997723. Round r to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17*f + 23. Let r(m) = -18*m + 29. Let h(b) = -5*k(b) + 4*r(b). Let o(v) = 2*v. Calculate o(h(i)).\nAnswer: 26*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**5\/5 - i**3\/3 + 3*i. Find the second derivative of m(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 5 = 7*y. Suppose -y*q - 268 + 68 = 0. Let d = q + 49. Solve 2*v = -h + d + 2, -5*h + v + 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/24 - 11*i**3\/6 - 176*i**2. Determine t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*a + 174*a + 552 = -2989 + 981 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 675 divided by 147\nAnswer: 225\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let p = 1 + 2. What is the units digit of v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26462*p**4 - 12912 wrt p.\nAnswer: -105848*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or 34761271?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -693.04 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-22)*(120\/(-18))\/(-5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -5*g. Determine d, given that 4\/3*d + 0 + 14\/3*d**g = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5246 by -1.\nAnswer: 5246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 673924997 to the power of 1\/2, to the nearest integer?\nAnswer: 25960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**5 + 71*k**4 + 115*k**3 + 34*k**2 - 243*k. Let b(y) = -2*y**5 - 24*y**4 - 38*y**3 - 12*y**2 + 82*y. Let o(u) = 17*b(u) + 6*q(u). Factor o(m).\nAnswer: 2*m*(m - 1)*(m + 2)*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**4\/12 - 13*u**3\/3 - u**2 - 462. Calculate o(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 74. Solve 3*v - t = -5 - 4, 0 = -h*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*b + (-3*b - 2*b + 4*b)*(2 + 2 - 3 + (1 + 2 - 4)*(-2 + 5 - 5) + 2 + 9 - 4)*(9 + 8 - 1).\nAnswer: -158*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 3, -12, 4\/5, 0.0976439, -4?\nAnswer: 0.0976439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {j: 5, q: 3, d: 7, z: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 151887 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9349781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 10*r - 48 + 985 - 11*r as j*r + h and give h.\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 6*k - 8. Is 18 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-12)\/((g*g**(-2))\/g)*g**(-6)\/g*g\/g**11 assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 78*m - 3. Let y(o) be the second derivative of 0*o**2 + 1\/6*o**4 + 7*o - 3 + 0*o**3. What is y(b(r))?\nAnswer: 12168*r**2 - 936*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -14 - 6248\/497.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109839 by 4.\nAnswer: -109839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 59767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.049 - -2.951. Let y = 0.055 + -7.055. Let j = d + y. Which is the third biggest value? (a) -0.3 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33b + -1?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(0 + -4 + sqrt(12)\/sqrt(4)*2)*-4.\nAnswer: -240 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-20))\/((28\/(-35))\/4). Does 24 divide 318 - (16\/4)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -a. Calculate the remainder when (0 - -2)\/(a\/300) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -36. Suppose 6*b - i + 1 = 0. Solve -y + 0*r + 2*r - b = 0, 4*r = -4*y + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkwkwk. What is prob of picking 1 k and 1 w?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 272 - 42 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/8*(-12)\/5. Suppose -q*g + 71 = -3*g + 2*d, -3*d + 39 = 2*g. Suppose -13*b = -b - 168. What is the remainder when g is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/21 + 1 + (-2)\/(-6). Suppose 5*p + 4*w = 4*p + 18, 9 = u*w. Factor p*v**2 - 30*v**3 + 0 + 50*v**4 - 2\/5*v.\nAnswer: 2*v*(5*v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 6*l**2 - 13*l - 18. Let i be y(8). Suppose 374 = i*u + 380. Let b(m) = -2*m**3 + m**2 + 3*m + 2. Give b(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*s + 4*r, 3*s + r - 13 = -1. Suppose 0 = 2*q - 17 + 3. Let w = q - 7. Solve 2*c + 4*t - 12 = 0, -2*c + s*t = -w*c + 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23031 divided by -21?\nAnswer: -7677\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-18) - 0\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -35 + -6 + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -449, -10, -0.083?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 43*d**2 + 27*d - 36. Let x be z(-15). What is the greatest common factor of x and 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 + 8*b + 4. Let t be j(-6). Let o be (-4)\/10 - t\/45. What is the third smallest value in o, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -148 in 105, 5\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655647.\nAnswer: 3, 218549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**3 + 0*f**3 - 4*f**3)*(-5567740*f - 3325 + 167 + 5567733*f) to n*f**2 + k*f + q + u*f**3 + y*f**4 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2221 - -2167) + 3 + (-7 - -2) + -2 + -1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 3*v**2 - 5*v**2)*(0 + 5 - 13)*(-2 + 0 + 0).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/(-3))\/((-4)\/66). Let k be 4\/22 - (-22)\/w. Solve -6*c + 3*c = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0\/w)\/w**(-12))**26 assuming w is positive.\nAnswer: w**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*b - 36, -b + 13 = -4*y + 3. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*k**3 - 4*k**4 + 9 - 68*k**3 with respect to k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - 10?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.8 equal to -2\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcqqcqqqqq. Give prob of sequence qc.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -77. What are the prime factors of -4 + (169 - (i - 4))?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5)\/(-32 - -41 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397c7 (base 14) in base 15?\nAnswer: -d642a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 2*q + 13. Is n(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675 is divided by 204?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 11*c - 1310. Let y be (c - 1)\/(-3 + 2). Suppose 3*i + 53 - y = 0. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 7 + 20*x - 3*x**2 - 2*x**2 + 5*x**2. Let y be f(6). Calculate the highest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - p**4 - p**4)*(-6 + 11 - 13)*(-6 + 4 + 0).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 33, 138, 337, 660?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -47338, -9 in ascending order.\nAnswer: -47338, -9, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2*(z*z**1)\/z)**(-26)*((z**(2\/5)\/z)\/z)**(-50)*((z\/z**(2\/5))\/z)**(-30) assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = c + 20, -22*z - 5*c = -18*z + 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14244869377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. Let o = 0 + 0.5. Let m = -5.5 - o. Sort m, n, 1 in ascending order.\nAnswer: m, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/12 and -119\/14646?\nAnswer: 29292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/200 - v**5\/50 + 32*v**2. Find b such that s(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -491 - -957\/2. What is the common denominator of -19\/3 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, h: 2, y: 4, a: 3, x: 4}. Give prob of sequence gxhh.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73098 and 1901727?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -92.1. Let b = q + 1.1. Let n = b - 6.0004. Round n to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*y - 20 = 172*y. Let t = 154 - 150. Which is the nearest to 5? (a) 1\/5 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -32 - 14. Let q be h - (-1)\/(-3)*9. Suppose -2*n - 18 = -8*n. Solve 0 = n*r - 5 + 20, m + 4*r + q = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 + 847 = 107*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 193 - 1254579?\nAnswer: -1254386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8849 times 0.047?\nAnswer: 0.0885903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2690 = 3*c + 3*s, 3*c - 3*s - 4005 = 0. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 = -3*k - 5*d, 5*d - 1297 = 5*k + 6*d. Let c = 450 + k. List the prime factors of c.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 10\/(-4))*0. What is the closest to a in -2\/7, 0.4, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38276\/1899 - 14\/211. Let l = -20 - w. Let x = -1.6 + 1.57. Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1942, -3707, -5186, -6379, -7286?\n\"Answer: 143*b**2 - 2194*b + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -15613.91?\nAnswer: 46841.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -4*b + 5*i, -308 = -3*b + 9*i - 13*i. Suppose -6*w + 3*w + 4416 = 0. Calculate the highest common factor of b and w.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 2)*(-2*u + u + 3*u) + 4*u - 7 + 7 + (u + 4*u - 4*u)*(-4 + 2 + 3) + 29 + 10*u - 29)*(-u**4 + 3*u**4 - u**4).\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 175*a - 182. Let h be (-12)\/30 - 210\/(-25). What are the prime factors of d(h)?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 8*w + 25. Let v be k(10). Let d be (31\/v - 5)*20\/12. Sort -1, d, 10, 4 in increasing order.\nAnswer: -1, d, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o + 22. Suppose -1273 = -39*s - 28*s. What is the greatest common divisor of o and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 15, h: 5}. Give prob of picking 1 h and 1 x.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17129253487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 - 10*s**2 + s**2 + 13*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(30)*2 + sqrt(30)))\/(sqrt(6) + sqrt(42)\/sqrt(63)).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 44*o**2 - 6*o. Let b(m) = -3*m**3 - 44*m**2 - 5*m. Let y(h) = 6*b(h) - 5*f(h). Find the third derivative of y(z) wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 2, i: 1, d: 1}. Give prob of sequence dt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 23) + 173 + -27 + -21\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 4400104?\nAnswer: -4400110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5785815 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2\/4)*0\/59. Put 4, j, 3, 1\/7 in increasing order.\nAnswer: j, 1\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/1 - (-49 + 35). Sort 1, q, 262, 3, -1 in descending order.\nAnswer: 262, 3, 1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - ((sqrt(108) + sqrt(108)*-1 - sqrt(108)) + sqrt(108) + sqrt(108)))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/90047760 and -79\/341090.\nAnswer: 90047760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 600254609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u + 1957 + 49 = -73 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 1:05 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25334\/4 + (-31)\/62 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106732\/34153 - 130\/41. Let t = 8\/49 + m. Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 - 3 + 3)*(-3*r + 4*r - 4*r) + 8*r**4 - 10*r**2 + 10*r**2.\nAnswer: 17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229529, -229530, -229531, -229532, -229533?\nAnswer: -229534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 + 4. Let t(k) = -k**3 + 8*k**2 + 4. Let z be t(8). Let w be c(z). Calculate the greatest common factor of 200 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.5125g in tonnes?\nAnswer: 0.0003595125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*b + 4742 - 36575 = 0 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 512, 665, 842, 1049, 1292, 1577?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-40))\/((-280)\/112)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4112 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/738 and 40\/207.\nAnswer: 16974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -690a272 (base 11) to base 6\nAnswer: -1111103332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 - ((7 - 5) + -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -15 - (1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -400 + -7420?\nAnswer: -7820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, 1, -14 in ascending order.\nAnswer: -14, 1, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1291 divide 2162834247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -19234*f + 500181. Give x(26).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/9 + (-2 + -6)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13570142693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -145, -131, -117, -103, -89?\n\"Answer: 14*l - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/346 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 9*r**2\/2 + r + 10215. Let x(y) = y**2. Let h be x(1). Give o(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, s: 3, t: 2, q: 6}. Give prob of sequence ttsq.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -3413, -1\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.03, -2\/9, 2, -5\/4, -2\/7 in decreasing order.\nAnswer: 2, 0.03, -2\/9, -2\/7, -5\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2641, 5294, 7947, 10600?\n\"Answer: 2653*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-42)*729*(256\/12)\/2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7477066 and 1072?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -4 - (-3 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 135*a - 125. Calculate l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 31 = -l, 3*b + l = 6*l - 47. Is 2*2*(2106\/(-12))\/b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/336 and 1\/720?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o, -2*b + 7*o + 13410 = 2*o. Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (204\/28 - 6) + 2\/(-7). Is 3\/(-2 + y) + (-6)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 4 + 3 + 5*p**3 + 3*p**3 in the form o + f*p**2 + c*p + v*p**3 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 a when three letters picked without replacement from mkmmaacccy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68948612 rounded to four dps?\nAnswer: -0.6895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/35343 and 58\/20079?\nAnswer: 78850233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*8\/(-6). Let o(g) = 26*g**3 + 2*g**2 - g + 4. Is 14 a factor of o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286680050 to the nearest integer?\nAnswer: 16932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750697?\nAnswer: 23, 127, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(26\/9))**(-46)\/((y\/y**(-2\/19)*y*y**6)\/(y*y\/(y*(y\/y**6*y)\/y)*y*y*y*y**(2\/17)\/y)) assuming y is positive.\nAnswer: y**(386344\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*m + 138, 170 = -0*m + 5*m + 5*n. Let t(b) = -b**2 - 18*b - 14. Let y be t(-11). Let k = y + m. List the prime factors of k.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -14. Let f(p) be the first derivative of 0*p**2 - 2 + 0*p**3 + w*p + 1\/2*p**4. Solve f(h) = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4544230447 to the power of 1\/3, to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41597.32ml to litres.\nAnswer: 41.59732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 - 123504*i + 814343 wrt i.\nAnswer: 4*i - 123504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 204\/761?\nAnswer: 204\/761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = w - 6*w, 3*w + 19 = 5*z. Let f = 30 + -16. Let t be f\/6 + w\/3. What is the highest common factor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -54, -127, -240, -399?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*x - 44 = 0, -x - x = -4*l - 68. Let f be 4\/l - ((-208)\/(-36) + -6). Solve f = o + 2 - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*o - 8 + 23 = 0, q = -2*o + 4. Suppose i + q - 16 = 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.79108 + 0.09108. What is the nearest to -2 in 3, v, -0.4, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyb when three letters picked without replacement from {p: 2, f: 2, y: 6, n: 6, b: 1, x: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:44 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2014083030 - 0.14459.\nAnswer: 2014083029.85541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022659007 rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/20*(-20)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 4*n - 3. Let z be k(4). Suppose 2*m = -5*l, m + 0*m - 4*l = z. Suppose -d + 489 = -m*x, 2*d + 4*x = -598 + 1520. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 + 95. What is the closest to u in -0.2, 2\/3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -81846 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 3*h. Let j = -1 + 4. Suppose -4*m + 12 = 0, j*m - 7*m + 21 = -3*a. Let c be t(a). What is c rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*t**3 + 72*t**2 - 6*t - 145*t**2 + 73*t**2 to p*t + m*t**3 + v*t**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-6)\/2 - -1). Let b(t) = 4*t + 3. Let q be b(k). Solve 0*d = -q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1*(8 + -2). Let t be (z\/12)\/(1\/(-4)). Solve t*q + 2*q - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 0.1017?\nAnswer: 5.1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 128.75 and 0.0197.\nAnswer: 128.7697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.703613mm in centimeters?\nAnswer: 0.9703613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5508803 and 399.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750047287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m + 124. Give z(-16).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) + sqrt(135)*-2)*6)\/(-1*sqrt(125)))\/((6*2*sqrt(81))\/(sqrt(9) - -5*sqrt(144))).\nAnswer: 21*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197091153 by -3.\nAnswer: -65697051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 400 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from dld?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 42\/221, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1383563\/168 - 57646\/7. Calculate the common denominator of u and 35\/114.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 10*a**2 - 7*a - 51. Let h be k(4). Let y(l) = -65*l. Let d be y(-2). Suppose -h - d = -7*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 - -951*(-1)\/(-180) and -63\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-262)\/(-10) - 15\/75. Let i = t + -27. Is 983\/5*(-5)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 5, t: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 10*l**2 - 25*l + 1. Give r(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -371?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010 (base 2) to base 6.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 0 - 13\/4*w**3 + 1\/4*w**5 - 5\/4*w**4 + 0*w - 7\/4*w**2 = 0?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4296 = 8*v - 4216 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8730, -8720, -8706, -8688, -8666, -8640, -8610?\n\"Answer: 2*w**2 + 4*w - 8736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 + 43 = 57*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 14*i + 12. Let h be t(9). Let c be (-2)\/8 + 84\/h. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*l + 52, 0 = 41*l - 37*l - o + 43. Let a(d) = d**2 + 14*d + 36. What is a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 + 53*s - 6. What is l(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 4*a - 2*a**3 + (4*a**3 - 4*a**3 - 3*a**3)*(-3 + 1 + 3 + 1 - 2 + 3 + (-5 - 1 + 4)*(-3 - 1 + 5)) in the form y*a**2 + h*a**3 + q*a + w and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2847*f = -805*f + 61260 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*d + m, -m + 0*m = 2*d - 3. Solve d*b + 14 + 6 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63475229 to the nearest integer?\nAnswer: 7967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (77\/21)\/(2\/78). Suppose -8 = -2*p - 3*l, -3*p + 5*l - 25 = -18. Suppose 0 = -4*f - 4, 3*v + 3*f + p = 31. What is the highest common factor of c and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 + 13 + 2437610*f - 1 - 2437608*f to the form d*f + z + u*f**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 at most as big as 311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15) + (-16)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + -aab34?\nAnswer: -aab1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1.3. Let q = -1 - -2. What is the third smallest value in -3, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20814646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2995 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**6 - 2337*a**2.\nAnswer: -2040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29280318*b**3 + 119399*b**2 + 163*b?\nAnswer: -175681908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4713703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -12*h**5\/7 - 28*h**4 - 908*h**3\/7 - 396*h**2\/7 + 440*h - 224 = 0.\nAnswer: -7, -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -49. Suppose 3*z - 4*m + 15 = 0, -6*z - 4*m - 11 + 17 = 0. Do a and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63 - 67 - 7*-5*1. Let d = -81 - -51. Let w = s + d. Solve -k - 1 = w, -2*c - 20 = 5*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*x - 228 - 433, -q + 819 = -5*x. Let z = -84 - x. 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: Let d = -3292 + 5809. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16058.8119 plus 118.1328?\nAnswer: 16176.9447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than 10804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {j: 3, a: 7, x: 3}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:50 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - f + 8 = -5*f, -4*n = -2*f - 10. Suppose -4*x + 22 = -0*x + 2*p, -p = 4*x - 19. Calculate the remainder when x is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4331, 4331, 4337, 4355, 4391, 4451?\n\"Answer: h**3 - 3*h**2 + 2*h + 4331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 852121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.5 (c) 12\/493 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 - 26 = 0, -13 = -4*b + 3*c. Solve -13*k = -27 + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b + 106. What is the remainder when 28 is divided by c(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.740054 * 1.\nAnswer: 3.740054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21038 and 1340?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -270 and 17?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(16\/(-4)))\/(40\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13880\/4180 + 49\/((-19551)\/(-126))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 2*l - 14, 915*o - 4*l = 919*o + 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + 20. Suppose -2*i + o = 2*i. Differentiate i + 6*t - 6*t + t**2 wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/7 - 3*i**2\/14 - 40. Solve w(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:55 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 9:12 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5468 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 17*x - 8. Let i be z(-9). Let d = -2 - -7. Solve -i = 2*a + d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 120*l = -2009*l - 66650 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**3 + 1. Let x(p) = 2*p**2 - 15*p + 6. Let f be x(6). Let y be 0\/(5\/(15\/f)). Let i = -2 + y. Let q(n) = n**3. Calculate i*r(h) + 9*q(h).\nAnswer: h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 3*m**2\/2 + 5792. Let c(x) = 2049*x. Calculate c(j(w)).\nAnswer: 6147*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 62?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 2*t - 3. Let u = -443 - -445. Let a(o) = -3*o + 4. Calculate u*a(v) + 3*q(v).\nAnswer: 3*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/8 + 177*r**2\/8 + 1245*r\/8 + 1071\/8.\nAnswer: 3*(r + 1)*(r + 7)*(r + 51)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(21\/((-56)\/8)). Let t(y) = 20*y**3 - 1 + y - 6*y**3 + y**2 + 22*y**3. What is the tens digit of t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 44966194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -10. Let q = o + -28. Let y = q + 86. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*f - 36 = f, 2*f = 4*n - 52. Let d(w) = -w + 24. What is the remainder when 19 is divided by d(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11843 is divided by 135.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -2577, 0 in descending order.\nAnswer: 4, 3, 1, 0, -2577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6865 - -10999. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -1778 + 238. Calculate the highest common divisor of 44 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**3 - 2*b**2 + 3*b + 5. Let j(m) = 4*m**3 - m**2 + 4*m + 4. Let s(p) = -6*j(p) + 5*x(p). Let y = 3 + 3. Does 6 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -453, 10, 3 in descending order.\nAnswer: 10, 3, 1, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 8:03 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3710 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 7*i**2 + 8*i - 9. Let a be r(6). Let x(l) = l + 28. Let p be x(-25). Solve 0*n - 8 = -5*q + p*n, q = a*n + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:02 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -8. Suppose -4*y - 284 + 280 = 0. Put p, y, 5 in decreasing order.\nAnswer: p, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 j when four letters picked without replacement from bjuenjnjnjjebebbbnsb.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.73 + -0.27. Put p, 9, 0.1 in increasing order.\nAnswer: p, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5, 3499, -5\/7?\nAnswer: 3499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ull when three letters picked without replacement from ulpululupl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 - 8*l**2 - l + 2. Calculate g(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = 0, 0 = -4*s - 4*c - 1476. What is the tens digit of s\/(-21) - 3\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by (-24)\/(-2)*(-6)\/18*-7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13 - 5 = 0. Suppose -44 + 174 = 65*u. Solve c - 2 = -w, u*c - m = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = 3*d - 4, 23 = 3*d + c. Suppose -262 = -14*o - 1088. Let x = -57 - o. Solve 3*n - x*n = 5*z + 22, 4*z - 4*n + d = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-1\/4)\/h*h)\/h))**(-7\/12)\/(h**(-2\/21)\/(h*h**(1\/2)*h*h)))**(-44) assuming h is positive.\nAnswer: h**(-3531\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/175, -0.2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29248335?\nAnswer: 3, 5, 47, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 65013*h + 3 + 65004*h.\nAnswer: -9*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -404 or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 65 - 9*h + 206 - 68 - 69 to u + q*h + d*h**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*d**2 + 349*d**2 + d**3 - 1401*d**2 + 350*d**2 + 351*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 o when three letters picked without replacement from ssoosss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l + 5. Calculate t(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 391 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -33*s + 29*s - 4*c, 12*s + 5*c = 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 151, 149, 147?\n\"Answer: -2*q + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3904.6 - -3905. Which is the closest to 0.1? (a) w (b) 0.1 (c) 3 (d) -202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32558199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -70. Let n = -167 - -241. Suppose -n = -5*m + 3*l, -8*l + 50 = 5*m - 3*l. What is the remainder when c is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196 - -64) + (-5 + 12 - -5) + 3?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 = 2*n, 3*n - 6*s + 11 = -s. Suppose o = n*o. Let o*f - 4\/3*f**3 + 0 - 4\/3*f**2 - 1\/3*f**4 = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*z - 195*z + c - 29 = 0, z + 3*c - 17 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882*h = -874*h. Solve h = -l + 5*m + 3, 9*m = 10*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58786910753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**3 + 4*u**2 - 4*u - 4. Let a(t) = 7*t**3 - 5*t**2 + 5*t + 5. Let n be (-1)\/(-9)*3*-15. Determine n*q(y) - 4*a(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvo when three letters picked without replacement from vnvovnoovv.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468247 or 468250?\nAnswer: 468247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 10339182.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 + -1)) + (-106 - -106).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -208 - -97. Let g = 124 + h. Let u be (1\/(-2))\/((-6)\/168). Is g smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6)\/(3\/18). Let a = r + 4. Suppose -4*b - 5 = -21. What is the highest common divisor of b and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325, 7620, 27517, 66316, 130317, 225820, 359125?\nAnswer: 536532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7761 and 81.\nAnswer: 628641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19869239*x**4 + 695161*x + 13 wrt x?\nAnswer: -238430868*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 3. Let t be (c\/4 + 2)*0. Let a = t - -27. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 3700.\nAnswer: 40700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (336\/168)\/((-4)\/58)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2)*8\/(-8). Suppose n*l = -4*l + 4. What is the closest to l in -0.6, -6\/7, -5\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18209403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/9)\/5*96\/(-80)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226413 to the power of 1\/2, to the nearest integer?\nAnswer: 2495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/23)\/b*b*(b*(b\/(b*b*b*b\/b**(-10)))\/b*b)\/b assuming b is positive.\nAnswer: b**(-301\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Suppose 4*q + 3*f + 28 = 3*q, 2*f + 75 = -5*q. Let p(w) = -w**2 - 12*w + 8. Let z be p(q). Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -81*g + 158. Let n be f(2). Which is the nearest to 0.2? (a) 3 (b) 6 (c) n (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1080)\/sqrt(10) + 2).\nAnswer: -30*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + 2 - (0 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2753932)\/(-20) + (-4)\/(-10) - 1. Let b be t - ((3 - 3)\/(-2) + -4). Round b to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-42)\/(-6))*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 + -132. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -10 in descending order.\nAnswer: -4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -31*z - 1. Let x = 0 - 1. Let j be l(x). Let n = 617 + -597. What is the highest common divisor of n and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y = -8. What is the third derivative of f**6 - 3*f**4 + 3*f**4 - 3*f**y - 4*f**2 wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19678, 78715, 177114, 314875?\n\"Answer: 19681*i**2 - 6*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - (-2 - 1))*(-1 - -6). Let x(b) = -1488*b + 33. Is x(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2703 or 0.43?\nAnswer: -1\/2703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 80.17699m?\nAnswer: 80176990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 85428 divided by 14238\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**4*m**3 + 3037*c**4 - 4*m**3 - 2246*m wrt c.\nAnswer: 8*c**3*m**3 + 12148*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - 97. Let b = 72 + j. Is (b\/2)\/(4\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 - o + 3. Suppose -2*n = 3*n + 25. Let i(w) = -w**2 - 5*w + 5. Let k be i(n). Determine c(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4 - 2 - 65*g + 5. Let r be y(-1). Suppose -3*v = v - r. What is the greatest common factor of 64 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**9\/2268 + d**8\/1260 + d**7\/630 - d**6\/270 - 17*d**3\/3 - 106. Let r(i) be the third derivative of p(i). Factor r(b).\nAnswer: -4*b**2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**18)**(9\/8) assuming l is positive.\nAnswer: l**(171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -628*m + 2507. Determine p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*n = 1 - 50, 5*n - 17 = 4*w. Let f(l) = -l**3 - 15*l**2 - 13*l + 8. Let j be f(-14). Put 1, w, j in descending order.\nAnswer: 1, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.86? (a) 0.1 (b) 0.2 (c) -1 (d) 2\/13 (e) -59\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -909 < -961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*j - 2. Suppose -2*s + 3 = -1, 4*y = 4*s - 60. Let c = j + y. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 895 + -432. Let q be (-22918)\/(-49) + ((-8)\/8 - 2). Let d = g - q. Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*l - 3312, 251*f - 254*f - 4*l = -1992. Calculate the smallest common multiple of f and 8.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcaczh. What is prob of picking 1 c and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = 0. Suppose -3*m + 0*m = 2*s - 12, s = j. Sort 2, m, -2 in decreasing order.\nAnswer: m, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-7)\/6) - ((-58000)\/(-475))\/20?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 - 41423*i\/8 - 7350635\/4.\nAnswer: -(i + 358)*(i + 41065)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2014 = -2*t - 1880, 0 = 4*x - 19*t - 287 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m - 75. What is c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 - 0) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 804*p**3 + p**2*y**3 - 167*p*y + 4*y**3 wrt p.\nAnswer: 4824*p + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/((-28)\/7)*24\/(-320))\/7.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 23620270 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**2 - 30*a**2 + 10*a**2 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5644.78154 rounded to one dp?\nAnswer: -5644.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12017 (base 13) to base 6.\nAnswer: -412355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.102 + -2.22. Let c = r + 0.018. Is 0.1 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -32. Let i be (-45)\/f*(-285)\/9. Let r = 59 - i. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595 a factor of 25981120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14106?\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from purdnrni. Give prob of sequence pud.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11036654, 22073332, 33110012, 44146694, 55183378, 66220064, 77256752?\n\"Answer: z**2 + 11036675*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*(0 + -4) - (-2)\/(18*11\/990)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhjffjhjhhfhjjj. Give prob of picking 1 j and 1 f.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 1, j: 1, s: 1, l: 3}. What is prob of sequence nrl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*z**2\/6 + 37049*z\/3 - 1109640.\nAnswer: (z + 2642)*(29*z - 2520)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 + 0.1. Let o = -5 - 14. Let d = 21 + o. Which is the second biggest value? (a) r (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 + d**2 - 2*d + 1. Suppose n - 3*s - 5 = 0, -4*n - 2*s = -7*s + 1. Let w be (n\/(-2))\/((-4)\/(-2)). What are the prime factors of v(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 5*x + 3*x)*(x**3 - 3*x**2 + 2*x**3 + 2*x + 0*x**3).\nAnswer: -9*x**4 + 9*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 + 55*q**3 - 7*q**2 + 2*q?\nAnswer: 120*q**3 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1189, 5065, 11527, 20575, 32209, 46429?\n\"Answer: 1293*t**2 - 3*t - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-22 - -37) + (2 - 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-18) - 4\/(-18). Let s be 3\/r*2\/1. Suppose 2*d - 19 = -s. Calculate the least common multiple of d and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 215\/57?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 5:38 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -574.9538 - -575. Let h = 0.0538 + o. Suppose 0 = 5*i - 8 + 28. Which is the third smallest value? (a) -2\/25 (b) -2 (c) i (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-30)\/105).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 11682211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/412, -1\/4, -1835, -2\/9?\nAnswer: -1835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15349 + -37\nAnswer: 15312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2704205 divided by -1\nAnswer: -2704205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 453*z - 4. Let p(a) = 39*a. Determine 2*p(r) - w(r).\nAnswer: -375*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2045967683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5874, 12379, 18884, 25389?\nAnswer: 31894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 57\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = 130*y + 1990 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 20217440?\nAnswer: 1213046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k + 2. Is -2 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -190. Suppose 156 = 2*t + 3*t - 2*o, -y = -4*t + o. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 582\/13 - 5739\/143. Let s(w) = w**3 + 11*w**2 + 17*w - 8. Let o be s(-9). Calculate the common denominator of v and (o\/(-3))\/((-10)\/(-40)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Suppose 0 = 2*d + 2*d - 4. Let q(t) = -t**3 - 2*t**2 + 2*t - 4. Give d*q(r) - 4*z(r).\nAnswer: -r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 937*o - 2746*o - 1 + 979*o + 918*o.\nAnswer: 88*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8699214)\/(-9) - (-6)\/9 - (271 + -268) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -147\/20191 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7953*l**5*x**3 + l**3*x**3 - l*x**3 + 352*l - 34*x wrt l?\nAnswer: 159060*l**3*x**3 + 6*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*c - 2788 + 2788 + 2*c**2)*(-3*c**2 + 5*c**2 - c**2) in the form m*c + p*c**3 + q*c**4 + v + n*c**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10835 in -5, -2\/7, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 2?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3616 + 4070. Calculate the remainder when b is divided by 451.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/51 (b) 1\/9 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 - 2)*(0*h + 2*h + 0*h) + 3*h - 2*h - 3*h)*(-7 + 2*h**2 + h + 0*h - 2*h).\nAnswer: -40*h**3 + 20*h**2 + 140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*v*x**4 - 27066*v*x + 881951*v + 2 wrt x?\nAnswer: 44*v*x**3 - 27066*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 344*a\/3 + 343\/3.\nAnswer: (a - 343)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7469, 9448, 12747, 17366, 23305, 30564?\n\"Answer: 660*x**2 - x + 6810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*k + 781*k = 1324 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0421 (b) -12\/5 (c) 9773\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 303*a**2 + 309*a**2 - 624*a**2. Let q(d) = 0 + d**2 + 0. Calculate n(q(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1601\/4248 + -1\/531. What is the third smallest value in -0.3, m, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26cc01 + 0?\nAnswer: 26cc01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.7. Let i = 1 + -1. Suppose -w + 7 - 2 = i. Which is the second smallest value? (a) w (b) j (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 26 = 2*m, 4*t = -3*m + 6 + 23. Does 3 divide -9*(1 - m\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + (sqrt(72) - sqrt(18))))**2*-1 + 1.\nAnswer: -242 + 162*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) 0 (c) 1\/8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2525, -5298, -8067, -10832, -13593?\nAnswer: -16350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91480 and 45740.\nAnswer: 91480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 7:16 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49943858 and 6.\nAnswer: 149831574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-9\/7)*(l**(-1))**(-8) assuming l is positive.\nAnswer: l**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2 + 1575*w = 0?\nAnswer: 0, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 3. Let w(i) = -4*i**3 + i**2 + 3*i - 3. Let r be w(1). Determine g(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**3 + 8*q + 2*q**3 + 9*q**2 + 3*q**3 + 2564 - 2554 - 848*q**5 wrt q?\nAnswer: -50880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 1 + 1)*(2 + z - 2) + 0*z + 7*z - 2*z)*(-6*z**2 - 3*z**2 + z**2) to the form u*z + g*z**2 + x*z**3 + s and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*w - 54 = -14, 5*y + 37 = 4*w. Let t be (2\/5)\/(1\/(-10)). Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39\/5 + 497\/65. Let g = -3.1 - -3. Which is the fourth biggest value? (a) -3 (b) p (c) g (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 20 = -5*n + 30, -v - 11 = -n - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2. Let d(h) = -3*h + 127. Calculate d(f(n)).\nAnswer: -21*n**2 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.936 + -0.036. Let f = l + 0.1. Let n be (0 - -1)\/(0 - 1). What is the closest to 0 in f, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-25)*(-329)\/(-42) - ((-570)\/75 - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 7. Let i(r) = -r + 3. Let f be i(0). Let t = -0.2 + -0.3. Which is the nearest to w? (a) t (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let k be x(2). Let r = -1.41 + 1.44. Let m = r + -0.53. What is the closest to -2\/7 in m, 3\/5, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/6094 + -57889\/24376. What is the common denominator of k and -51\/232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 704 + -579. What is the highest common divisor of g and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40361280, 80722558, 121083836, 161445114?\nAnswer: 201806392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*m - 704, 5*i = m + 16 - 180. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 1. Let p(w) = 5*w + 4. Let i(k) = 4*j(k) - p(k). Let b(m) be the first derivative of 21*m**2\/2 - 285. Calculate i(b(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 706 + 0*l - 583925*l**2 - 3*l + 583926*l**2 to m + d*l + s*l**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -93. Suppose -4*s + 4475 = 5*n, k*n + 3*s = n + 1783. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4293d3 (base 14) to base 11\nAnswer: -12aa185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuukukkkkkku. Give prob of picking 1 k and 1 u.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164 by -1.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 783597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - 9*f**2 + 9*f**2)*(-11*f - 14*f + 4*f).\nAnswer: 42*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045 to six dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 9*k = -44, 2*c + 5*k - 38 + 10 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -10. Calculate the remainder when 2 + 1 + -2 + 21 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -6. Let h be 9\/12 + 15\/(-20). Suppose 5*a + 10 = h, -5*b + 110 = -8*a + 13*a. Is f >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 15831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 459?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1573 is divided by 310.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000875413476 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 789982 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 40 - 4. Suppose 2*v - 8 = 96. Let o = z + v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - ((0 + sqrt(98))**2 + 0) - (-1*sqrt(98) + 3) - (2 + (sqrt(98) + -1)**2*-1)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 12*f - 29. Solve 0 = 3*d - f*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21648 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 454 and 29103443.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -24 - (-1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 66 = -60*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - z**2 + 36 + 7*z**2 - 69 to the form s + k*z + y*z**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 39. Solve -j + 3*c = 5*c - 1, -3*c = 4*j - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*m + 6, 8*m + 20 = 3*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -149.39\nAnswer: 298.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89483*v**5 + 53013*v wrt v?\nAnswer: -1789660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343033 is divided by 117.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/62 and 39\/18908?\nAnswer: 586148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4 in increasing order.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -30. What is the fourth biggest value in h, -2\/23, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*k**3 - 5874*k**2 + 90240*k + 79872.\nAnswer: 3*(k - 32)**2*(31*k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**7\/30 + 27*t**4\/8 - 29*t**3\/3 - 1045*t**2. Find the first derivative of s(i) wrt i.\nAnswer: 28*i**3 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10675, 42710, 96103, 170854, 266963, 384430?\nAnswer: 523255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 81*w**4 + 33*w**3 - 57*w. Let t(b) = 10*b**4 + 4*b**3 - 7*b. Let z(y) = -4*i(y) + 33*t(y). Find the second derivative of z(q) wrt q.\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:23 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**2 - 1410*m + 12. Let s(y) = -21*y**2 - 4230*y + 31. Determine 3*s(d) - 8*v(d).\nAnswer: d**2 - 1410*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 965468969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18054055.\nAnswer: 5, 3610811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*t**3 - 71*t**3 - 20*t**3.\nAnswer: -168*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1575435 or 0?\nAnswer: -4\/1575435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48225 - (-10 + 8)\/((-6)\/9). Find the first derivative of 65*a**4 - g*a**2 + 216 + 48222*a**2 wrt a.\nAnswer: 260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 1 - 1)*(1 + 1 - 12) + (1 - 1 + 1)*(-2*v - 1 + 1) in the form y*v + t and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/3)*j**(2\/9)\/j)**(-17\/3)\/((j**(-2)*j*j)\/(j\/j**4)*(j**6\/j)\/j*j**(-3)) assuming j is positive.\nAnswer: j**(-346\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 618300.\nAnswer: -1854900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4 + 4)*((2 - 2*p - 2)*(0 + 1 + 1) + (6*p + 3*p - 2*p)*(-3 + 2 + 2)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/4*(-20)\/(-14)*(-113316)\/(-6745).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*j + 4*j, -5*j = 5*t - 45. Solve a - t = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 22, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4, 5, 222, 114 in descending order.\nAnswer: 222, 114, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1658.9 - -1659. Which is the closest to y? (a) 3 (b) -20 (c) 2\/15 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -36. Suppose 33*z = 27*z + 30. Suppose -5*d - 3*y + l = 0, d + z*y = -2*d + 30. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 15471 = -18*n. What is the third derivative of -c - 24*c**2 + n*c**6 - 845*c**6 - 854*c**6 wrt c?\nAnswer: 2400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274 - -269. What is the nearest to 78 in 2, r, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfys. What is prob of picking 1 s and 2 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iimr when four letters picked without replacement from rmiqqqmri?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 + -1 - (7 + 0)) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05267 - 1.05267. Which is the smallest value? (a) -0.4 (b) 557 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 16 = 4*m. Let x be (6\/m)\/(52\/325). Sort 6, -2\/3, x in ascending order.\nAnswer: -2\/3, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from hhohhhhhoo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p + 2*p + 3*t, -5*p = -2*t + 4. Let b(c) = 4*c + 24. Calculate the lowest common multiple of b(p) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149, -8, -467, -1222, -2267?\n\"Answer: d**3 - 157*d**2 + 307*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*c - 63 + 63 - 16*c in the form o + d*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2149 + 2148. Which is the third smallest value? (a) x (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o + o**2 - o**2)*((0 + 0 - 2*o)*(-1 - 3 + 3) + 421*o - 710*o - 791*o).\nAnswer: -2156*o**3 - 3234*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 193. Let m be l(0). Let u = 332 - m. What are the prime factors of u?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1056 + 2822*j + 2819*j + 2*j**2 - 5641*j to the form h*j + v + u*j**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 63 + 15. Suppose 10 = 3*y + k - 2, 4*y - i = -2*k. Solve -j - y = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1690*h**6 + 6*h**2 - 56 wrt h.\nAnswer: -202800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.7499226 to 2 dps.\nAnswer: -8.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (8 + -10 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 8938, 3, -68 in increasing order.\nAnswer: -68, 3, 11, 8938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/4 + -25 + (-931)\/(-38).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 - 41 - -27).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7 and -10\/969.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1077264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10604689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 132. Let g be (-16)\/f*(-342)\/(-24). Solve 0 = -4*w - n + g - 8, -3*w = -3*n + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700076 plus -2953599.58?\nAnswer: -3653675.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 700*l**2 - 12 - 5*l + 697*l**2)*(-2 + 2 + 2*l**3).\nAnswer: -6*l**5 - 10*l**4 - 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3836)\/2112*(-3)\/((-42)\/4) and -61\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*h - 4*h - 23998 = 448 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkbqlqqlgqeeblq. Give prob of sequence qlk.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4802201 (base 9) to base 15\nAnswer: 365487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-85)\/(-15) - 5) - (3 - -6 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -143, -212, -279, -344, -407, -468?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15\/s**(-27))\/(s**(-19\/3)\/(s**(-1\/47)\/s)) assuming s is positive.\nAnswer: s**(6671\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1093*s**3 - 2*s**2 + 3814 wrt s?\nAnswer: -3279*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 618018 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122578002 divided by -18.\nAnswer: -6809889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 57. Is 14 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354010.114 rounded to the nearest one thousand?\nAnswer: -2354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 14) to base 15\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/6*11*24\/660)\/(366\/(-3843))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 10639 = -5*w - 3*b, -4*w + 3*b = -8502. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g - 4 = 0. Let s(k) = 2*k**3 + 2*k**2 - k + 1. What is s(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62935 and 16885.\nAnswer: 692285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*c = 17, 0 = 13*n - 8*n + c - 161. Suppose n*g - 50*g + 25262 = 0. What are the prime factors of g?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 55*v**2 - 86*v - 48. Calculate o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/7*y**2 + 2\/7*y**3 - 416\/7*y - 128.\nAnswer: 2*(y - 28)*(y + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Let t = 0 + -0.1. Sort x, t, 3\/4.\nAnswer: t, 3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 105 = -2*u, 2*s = u + u - 90. Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l + 12 = 37*l. Let m = -2 - -4. Factor -l*p**m - 72 + 72.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*f + 64 - 64)*(3 + f - 3) + f**2 + 3*f**2 - 5*f**2.\nAnswer: 29*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10652 less than -0.07175?\nAnswer: 10651.92825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -9150*h**2\/17 - 3140*h\/17 + 208\/17 = 0. Calculate h.\nAnswer: -2\/5, 52\/915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let o(r) = 6*r + 2. Give h(o(t)).\nAnswer: 12*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 63*q + 1016. Determine t(-76).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*r**3 - 24*r**2 - 3*r.\nAnswer: -3*r*(r + 1)*(7*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 8*l - 7. Let a be b(6). Let f be ((-2)\/a)\/(4\/(-10)). Let q = f + 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. What are the prime factors of g\/4 + (-394)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532840092.\nAnswer: 2, 3, 59, 149, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(252\/(-45)))\/(-25). Let m = 0.06 - 0.17. What is the third biggest value in o, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5675*t + 5805521. Give y(-1023).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 40\/12*24\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13*v = -2172. Let s = v + -97. Calculate the remainder when s is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -17. Suppose a*f + 27 = 81. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(24) - 3*sqrt(144)\/sqrt(6)) + sqrt(24))\/(-1*sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*r - 1, -3*s = -2*r + 4*r - 7. Suppose 15 = 2*f - k, -4*k - 25 = k. Find the first derivative of -f*x + 2 + 2*x + r*x wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + d = 1034, 13 = 4*d + 5. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -19, 3, 18 in ascending order.\nAnswer: -19, -2, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(44\/264).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.149 + 0.501. Put 1, 0.2, z in increasing order.\nAnswer: 0.2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -297?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:01 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7697 + -6856. Calculate the remainder when d is divided by 86.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 45*a - 435. What is d(-34)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 4*m - 32 = -21*l, 10 = 4*l + 2*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050274 rounded to four decimal places?\nAnswer: 0.0503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from jzjbbejjjjbzjbj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-2)\/(8\/((-280)\/49)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9))**(3\/28)\/(((u**17\/u)\/u*u)\/u*u*u\/u**0) assuming u is positive.\nAnswer: u**(-356\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 653*h**2 + 3*h - 3610. Let t(m) = -302*m**2 - m + 1805. Let r(x) = -2*a(x) - 5*t(x). What is the derivative of r(j) wrt j?\nAnswer: 408*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -421, 13, 12 in decreasing order.\nAnswer: 13, 12, 4, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1573 = -14*u. Suppose 93 = v + 2*v. What is the remainder when u is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -25490583\nAnswer: 509811660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 131*i - 63 as a*i + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 0. Let p be 6\/3*(-1 - 69\/6). Let i be 1*((-5)\/p)\/1. What is the third smallest value in 0, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = 8*z + 2*z - 185 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((-10 - 5) + 29)) + -22 + 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 3*x - 18. Is -6 != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(1\/(-93)). Let j = x - -48. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asas when four letters picked without replacement from {g: 5, s: 8, a: 3}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 16*m**2 - 12*m + 17. Let h be l(-15). What is the tens digit of (-42 - h)*(-74)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/6 + 91*l**2 + 3357*l\/2 - 213759 = 0?\nAnswer: -522, -63, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 923303.9 rounded to the nearest 10000?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6556392.06 rounded to the nearest ten thousand?\nAnswer: -6560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r - 36755 - 17666 = -18371. What is the remainder when 522 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35555873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 22 = h, 3*h + 30 = 3*a - 0*h. Let k(w) = 0*w**2 - 1 - 2 - w**2 - a*w. Suppose -13*x - 1070 = 26*x + 175*x. What is k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w + g - 10 + 49, 0 = -4*w - 4*g + 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 191711 (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 41*t**2 + 201*t + 181. Let p be i(-27). Calculate the greatest common divisor of 2790 and p.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 2331?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215487810.\nAnswer: 2, 3, 5, 467, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -26*y - 4. Let k be m(-3). Let h(w) = -7*w**2 + 0*w**2 + k + 6*w**2 - w. Is h(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 7*j - 38. What is a(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9709*f - 48542. Let v be s(5). Let l be 1 - 1*(1 - -5). Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26776, -26766, -26756?\n\"Answer: 10*i - 26786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u. Calculate s(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -3992.\nAnswer: 7984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 35457*t**2 + 265226520*t - 901681721200 = 0. What is t?\nAnswer: -18980, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + (-1)\/(-2). Let x be (-3)\/6*2*h. Suppose 2*z + x = 6. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*10\/(-2 - -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*v**2 + 92*v**5 - 68*v**5 - 55*v**5 wrt v.\nAnswer: -1860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -3, -1.\nAnswer: -3, -1, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 + 38\/57. Let t(g) be the first derivative of 3\/4*g**4 + v*g**3 - 3*g + 0*g**2 - 1. Find the first derivative of t(s) wrt s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let m be 4 + -1 + (-9 - -15). Let z = m - 28\/3. Sort p, z, 2\/13 in descending order.\nAnswer: 2\/13, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 589 + -408. Suppose 175*h = d*h - 216. What is the least common multiple of h and 21?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198*10957.3\nAnswer: -2169545.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 82*h + 82. What is the units digit of u(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1494)\/((-47)\/846)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 = -10, 5*p = -3*d - 60. Let m = 35 + d. Let b be 2 - 3 - 1 - -162. Calculate the highest common factor of m and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**2 - 27*l**2 + 6*l**2 - l**2.\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38)\/(-8) - 3) + -2. Let y = -1207 - -4823\/4. Which is the biggest value? (a) y (b) 5\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926*i**3 + 773*i**3 - 19*i**2 + 19*i**2.\nAnswer: 1699*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - -1) + 478\/(-92) and (-24)\/(-192)*(-584)\/(-6).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113*j - 10*j - 55*j)*(-4 + 3*j**3 - 1256*j**2 + 1256*j**2) in the form g*j + o*j**3 + w*j**4 + n*j**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:21 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -4.06. Let n = -10 - x. Sort 3, n, 4 in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 10 - -10 - (-10 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1573) - (sqrt(1573) - -2*-1*sqrt(1573)) - sqrt(1573))**2*4 + (sqrt(1573) + 1 + sqrt(1573) + 1 - (-1 + sqrt(1573) + 4)**2)).\nAnswer: -9424 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 29 = 2*v, -2*v + i + 27 = 0. Calculate the remainder when 25 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*n + 16 = 0, 2*w = 3*w + n - 2. Let j = -34 - -32. Put j, 5, w in descending order.\nAnswer: 5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 124 (b) 4 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11) + 3 - (sqrt(704) + (sqrt(704)*4)**2)) + 5.\nAnswer: -11251 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 130\/(-132) - 320\/1760. What is the nearest to 0.1 in 0, v, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**7\/1785 + d**6\/34 + 18*d**5\/85 - 206*d**4\/51 + 320*d**3\/17 + 9164*d**2. Determine w so that s(w) = 0.\nAnswer: -24, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3678980225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120490997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let i(k) = k - 3. Let a be i(7). Solve -a = -s*m + 2*m + 2*r, 0 = -4*m - 4*r + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + (41 - 87) - 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + m**2 + 1. Let n(h) = 2*h**3 - h**2 + h. Let c(b) = 4*n(b) + 3*r(b). Give c(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4090*4\nAnswer: 16360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1470709.998 to the nearest one hundred.\nAnswer: -1470700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 3 - 12*m - 4*m - 21*m + 6*m. Let b(q) = q**2 - 6*q + 1. Let i be b(5). Does 22 divide k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 30*l + 3. What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 v when four letters picked without replacement from lvllvvllllvv.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -745 - -241381\/324. Calculate the common denominator of 101\/8 and a.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 3*t + 0*t)*(-2*t - 1 + 1)*(-2*t**2 - 5*t**2 + 2*t**2).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*k + 6, 57*d - 2*k = 8*d - 51*d + 594 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6976 plus 0.06?\nAnswer: 0.7576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -9473739, -2\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0671 in -0.5, -9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*m + 240 = 7*l, 30 = l + 3*m. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 120803?\nAnswer: 120802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-3 - (-6)\/2). Let c(t) = -t**3 - 2*t**2 - 4*t - 3. Let l be c(y). Let o be 9 - 4\/(-6)*3. Solve -9 - o = l*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -465664 (base 7) to base 10\nAnswer: -83689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558 and 620?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 1\/20*h**5 + 0 + 5\/2*h**2 + 9*h + 0*h**3 + 23\/12*h**4. Let v be x(-23). Solve p - 2 = -4*k, 0*k + 3*p = v*k + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16959*w + 33549 - 33549 + (-3 - 1 + 2)*(-2 + 2 + 2*w) to the form m*w + z and give m.\nAnswer: 16955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*f + 1, 0 = 5*a + 3*f - 7. Let j = -1021 - -1037. Put 5, j, a, 0 in ascending order.\nAnswer: a, 0, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3106 - 3?\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 13*k - 375. Calculate t(26).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-84)\/8)*(90\/21)\/(185\/(-1554))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at least -4\/3353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 16*r - 47. Let g be y(4). Calculate the greatest common factor of 153 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 - 58*c**2 + 21*c - 5. What is the remainder when 325 is divided by x(19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(-21)\/1. Let u = -10 + f. What is the remainder when 6 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(405))**2 - (2 + sqrt(405))) - (-2*sqrt(135))\/((2*sqrt(3) - sqrt(3))*3).\nAnswer: -25*sqrt(5) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + w**2 - w. Let a(u) = -5*u**3 - 7*u**2 + 7*u + 8. Let h(p) = a(p) + 6*m(p). Let z(o) = o**2 + 30*o - 175. Let v be z(5). Calculate h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14496.000013438 + -14496. Round k to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 3*s**2 + 0*s + 2*s**3 + 6*s**2 in the form j*s**2 + l + a*s + y*s**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1666*h. Let y(j) = 2*j - 2*j - 93*j**2 + 115*j**2 - 24*j**2. Give v(y(d)).\nAnswer: 3332*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*sqrt(108) + 2)*-6)**2.\nAnswer: -38880*sqrt(3) + 876096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553310 is divided by 103548.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p - 1\/140*p**7 - 1\/40*p**5 + 0*p**3 + 0*p**4 - 11\/480*p**6 + 0 + 84*p**2 - 1\/1344*p**8. Solve b(t) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7980100 to the nearest 10000.\nAnswer: -7980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/80 + 1023\/(-195) + 5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5484 - 5484 - 5*r**2 + 0*r + 0*r. Let p(g) = 16*g**2. Give v(p(d)).\nAnswer: -1280*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*o - 0*o + 42, 0 = -5*h + 2*o + 54. Let k(w) = w**2 - w - 2. Let g be k(3). What is the highest common divisor of g and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 k when four letters picked without replacement from zkzcxxxxkcxckzx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510)\/204*(-4)\/(-9)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1. Let b(l) = l. Let p(w) = -3*a(w) + 3*b(w). Let r = 142 - 139. Give p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1 (b) 0 (c) -1 (d) 1\/7 (e) 3837\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-25) - (-76)\/68.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 0. Let r = -2 - g. Solve -c + r*f = -2*c - 13, -17 = 3*c + 4*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2385 divided by 4832\nAnswer: 2385\/4832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r + 2*r + (4*r - 174*r - 49*r)*(3 - 1 - 1)*(-6 + 5 + 0).\nAnswer: 221*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/462 and -61\/197076.\nAnswer: 1379532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 12:56 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-193 + 142 - (-2 - 5) - -14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000072866831 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 23*n**2 - 17*n - 11. Let w(i) = -11*i**2 + 8*i + 5. Give -6*f(s) - 13*w(s).\nAnswer: 5*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:15 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -d + 24833, 4*y - 24094 - 9010 = -3*d. What are the prime factors of y?\nAnswer: 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(-25296)*-51*120\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12746670047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*k + 6 = k, -634*k + 639*k = -15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:10 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2786863)\/(-3) + (-10)\/30. Let q = -468954 + y. What is q rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090427557.\nAnswer: 59, 1951, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*(-38 + -494). Let u = -245 + c. What is the greatest common divisor of 56 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3 + 12*x + 10 - 26*x + 19*x. What is c(5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -68d31b?\nAnswer: 68d31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24637, 98575, 221813, 394357, 616213, 887387, 1207885, 1577713?\nAnswer: 1996877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z - 1. Let w(v) = -5*v**2 - 4*v + 51. Let h(c) = -4*i(c) + w(c). Let u be h(0). Suppose 3*t - u = 32. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -28. Let t(y) = -61*y**3 - 2*y**2 - 4*y. Let k(o) = o**3 + o. Let d(x) = m*t(x) + 2*k(x). What is the tens digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 281*k. Let v(y) = 150045*y. Give d(v(z)).\nAnswer: 42162645*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.73123mg in tonnes?\nAnswer: 0.00000003773123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 divided by 80?\nAnswer: -83\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -66*c**2 - 62*c + 12. Let a(t) = 13*t**2 + 12*t - 2. Let i(r) = 16*a(r) + 3*k(r). Suppose -5*l - 41 = -16. What is the units digit of i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.116 - 0.084. Let t = 1431\/10 + -143. Which is the smallest value? (a) t (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*j + 164*j - j**2 - 50*j - 57*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 2*y**2 + 30 + 2.\nAnswer: 2*y**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 483 - 437. Let o(h) = -j*h**2 - 52*h**2 + 145*h**2 - 44*h**2. Let v(u) = -15*u + 3. What is o(v(y))?\nAnswer: 675*y**2 - 270*y + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 36. Calculate f(-10).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - d + 2.\nAnswer: -(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 0 + sqrt(320).\nAnswer: -3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 + 0.12. Let r = 1.4 + 0.6. Is a bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - s)*(1 + 1 - 10) + s - 4 + 4.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 68 - 9*h - 151 + 4*h**3.\nAnswer: 4*h**3 - 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*p**3 - 161*p**3 - 156*p**3 - 2 - 122*p**3 to f*p**2 + k*p**3 + m + i*p and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/162245 and -73\/20.\nAnswer: 648980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/6 + 253*i**3\/6 + 386*i**2\/3 - 512*i\/3.\nAnswer: -i*(i - 256)*(i - 1)*(i + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13272\/781 - 1038358\/639. Suppose a = -0*a - 1608. Let b = a - c. Is -2\/3 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569785701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29218 is divided by 7272?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/13)\/(s**8\/s))\/(((s\/((s*s\/s**(-1))\/s))\/s)\/s**16) assuming s is positive.\nAnswer: s**(140\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44577776 and 12496?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49086903?\nAnswer: 3, 16362301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 - -3.77. What is the nearest to 3 in n, -0.4, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, 2\/15, 16, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(378)\/sqrt(24) + -2 + (sqrt(63) - 1*sqrt(63)) - sqrt(28)\/(-4*sqrt(16)\/sqrt(4))*3).\nAnswer: -2 + 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 5, i: 3}. What is prob of picking 3 i and 1 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 4 + -2 + -4 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -47 - 2\/3*k**3 + 0*k**2 + 0*k. Let a(v) = 25*v**2. Determine m(a(t)).\nAnswer: -1250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1958 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -3*i + 5*n, -7*i + 45834*n - 191 = 45837*n for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*a + 4, -2*v - 17 = a + 3*v. Let r(c) = c**3 + 3*c**2 + 3*c. Determine r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20625679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 9099.42?\nAnswer: -36397.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-970)\/17 + (-558)\/(-1581)*(-10)\/(-60).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5\/138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13637.\nAnswer: 13, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 532?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-92)\/(-3) - (-1)\/(8\/24). Does 33 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27029750 and 2500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + (59 - 6 - 40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 288208 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Suppose -4*u - 16 = 0, -t + 151 = m*t - 4*u. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -40*n + 120. Let m be t(3). Suppose 8 + 17 = 5*b. Suppose -5*j + 2*r + 119 = 5, m = b*r + 10. Calculate the least common multiple of j and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 692*x - 3012455\/6.\nAnswer: -(x - 3215)*(x - 937)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/281822856 and -125\/36?\nAnswer: 845468568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -12. Calculate the lowest common multiple of 56\/21*(-6)\/g*-1 and 25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/3 - 196*j.\nAnswer: -4*j*(j + 147)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -167116 and -8?\nAnswer: 1336928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 589*p**4 - 290*p**4 - 290*p**4 - 3*p + 2*p + 4 as l*p**3 + j*p**2 + z*p + f*p**4 + o and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 + -51. Let k = i - 105. Let b(t) = t**2 + 3*t + 4. Let h be b(k). Put 12, -1, -2, h in descending order.\nAnswer: 12, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -3191d?\nAnswer: 31929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -29.6 (c) 0.5 (d) 18 (e) -3 (f) 0.4 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 26, 73, 150, 263?\n\"Answer: w**3 + 6*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39\/8 or -977?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.52 times 17\nAnswer: -8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 3300 - 3300 - 4*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2\/13, -644\/237, 1, 0.8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 39.494 times -0.4\nAnswer: -15.7976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 109650 and -204999.\nAnswer: -95349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -48*l - 2061. Let k be j(-43). Solve 3*o = k*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32364712 rounded to 4 decimal places?\nAnswer: 1.3236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-365)*(1 + (-3)\/2). Let o = -4070\/219 + m. Which is smaller: -18 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:11 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times 0.0436?\nAnswer: 0.009592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60\/7 - 674\/77. Let k be 287\/(-164) - (-18)\/10. Which is the second biggest value? (a) v (b) 0.3 (c) k (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3637 + -3519. Calculate the remainder when 211 is divided by y.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (974*f + 761*f + 1611*f - 302*f)*(-1 - 1 + 4) in the form n + a*f and give a.\nAnswer: 6088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10628 is divided by 288?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.99? (a) -1\/6 (b) -4 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10. Let w = n + 11. Solve -3*x + 0 = w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = i + 1279085, -4*i - 1965952 - 3150473 = -5*n. What is i rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83179623 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1\/3, -2\/279, 9, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68964 + 68960. Let s = 4 + -19\/5. What is the closest to s in f, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 94, 0, 3, 10 in descending order.\nAnswer: 94, 10, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 6 + 0*o - 7*o. Calculate u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i = 3*v - 24, -v + i = 0. Solve v = 2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 840562*z**2 + 409239*z?\nAnswer: 1681124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.099? (a) 5 (b) 0.5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97472 or 97485?\nAnswer: 97472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**2 - 35*f - 15. Give k(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 7:13 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865966555?\nAnswer: 5, 31, 5586881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 230161799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7917536 and 332?\nAnswer: 7917536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/(9\/(-27)). Suppose r*u = -4*u + 408. What is the remainder when u is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0.142. Which is bigger: i or -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5838*i - 6405*i + 10843*i)*(4 + 0 - 5).\nAnswer: 1400*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*8\/14. Let r = -0.9 + -20.1. Let q = r - -20. Which is the nearest to 0.2? (a) o (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-10)*(-472)\/4012*155.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50796848?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 - 11 = 5*d, -d = 5*y - 15. Let q**3 + q**5 - 6*q**2 - 19*q**4 - 2*q**5 - 8*q**y + 33*q**4 = 0. What is q?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349634266.\nAnswer: 2, 29, 6028177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.396 and -1.9455?\nAnswer: 2.715918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12564 + 1411. Does 66 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 8. Let i(r) = -r**2 - 13*r - 7. Let t be i(-11). Suppose -5*d = 5*h - t, 0 = -3*h + 3*d + d + 16. Calculate x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/6 + -7 - -501 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*m + u, -3*u - 35 = -2*m - 0*m. What is the units digit of -3 + m + 0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - 294*m**2 - 22*m**3 + 294*m**2 + (m - m + 2*m**2 + (-m + 0*m - m)*(2*m + 0*m - m) + 3*m**2 + m - m)*(m + 3*m - 5*m).\nAnswer: -25*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 756 + -752. Solve r*v = n + v - 14, 4*n - 2*v - 26 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 169*h**2 - 219*h**2)*(-h + 0 - 2 + 2*h).\nAnswer: -50*h**3 + 100*h**2 - 3*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, 4, 12, -1, 0.0195 in ascending order.\nAnswer: -1, 0.0195, 1\/16, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) - (-483)\/(-6). Let f = 88 + w. Solve l - f = -2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/180 + 5*w**4\/18 - 19*w**3\/18 - 115*w**2. Suppose f(p) = 0. What is p?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 284*z + 66. What is the thousands digit of k(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -6. Let p be (54\/(-63))\/(9\/(-42)). Suppose 3*y - 4*c = 23, -p*y + 9*y = 2*c + 43. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 20 = -2*i - 4*u, -5*u + 30 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = t + 22, t + 24 = -t - 5*g. Let b = 2\/1141 + 28503\/12551. Calculate the common denominator of t*(-67)\/22 + -3 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 62.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15758*t**2 - 21 - 15626*t**2 + 21.\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11290 divided by -16.\nAnswer: -5645\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - (-5*(sqrt(11) + 0))**2 - (sqrt(110)*2)\/sqrt(10)) - ((sqrt(704) + -1 + sqrt(704) + 0 - (-3 + sqrt(704) + 1 + sqrt(704))) + -2)**2.\nAnswer: -278 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251*d**4 - 2*d**3 + 369*d**2.\nAnswer: -6024*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291596, 3, -0.709 in ascending order.\nAnswer: -291596, -0.709, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxxnxn. Give prob of sequence nnx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 133*c**2 + 90*c + 1547. Let l be a(-67). Solve 2*w + 2 = -d, -l*w = -5*d - 4*w + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -x + 2*x. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -45. Let g be (-1671)\/21 - 6\/k. What is the common denominator of 29\/16 and ((-66)\/g)\/((-7)\/(-105))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11.2437306454 and -13.\nAnswer: -1.7562693546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjk when four letters picked without replacement from kjjjkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*s - 3 + 3 - 104*s.\nAnswer: -265*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 4*b**2 + 8*b. Let m = -26 - -20. Let d be a(m). Let w = 30 - d. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152211 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51732, -51734, -51736, -51738?\n\"Answer: -2*k - 51730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 33, -13, 1, 4, -2, 0 in increasing order.\nAnswer: -13, -2, 0, 1, 4, 33, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124075277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002692 to 5 dps.\nAnswer: 0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2129 + 1.2129. Which is the closest to g? (a) 0.5 (b) 2 (c) -2\/3 (d) 1\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-15) - ((-1312)\/60 - -5). Let n = -11 + t. Suppose -4*o = n - 14. Solve 4*x - 6 = 2*x, -3*q = -o*x + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 18. Let j be -14 - ((b - 1) + -3). Let t = -6 - j. Calculate the lowest common multiple of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9368 (base 14) to base 4.\nAnswer: -12030200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/4))**(-1\/75)\/((d\/(d**1*d)*d)\/d)**(12\/17))**(-4))**(11\/2) assuming d is positive.\nAnswer: d**(-39787\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169267 is divided by 169236.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*z - 2*z + 52, 0 = -z - 3*n - 2. Suppose -2*f = -z*f + 1360. What is f rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 5*c + 0*c - 661127 + 661127.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5 and 47\/241.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 127648*j - 16. Let l be x(17). What is l rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - d = d - 26, -2*r - 5*d = -9. Let j = r + -5. Suppose 2*f + 6*u = u - 8, -j*f + u = -16. Let m(s) = -s. Determine m(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + sqrt(1200)*1))**2*-6.\nAnswer: -117600 + 19200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7 - d + 8 + 5*d. Let t be k(1). Solve o = p + 7, -t*p + 4*p + 5*o = 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/177? (a) -0.3 (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1442 - -1447. Calculate the highest common factor of n and 2155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69824 by -3.\nAnswer: -69824\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 2. Suppose 0 = 59*u + 22*u - 81. Give v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4381 + 4381.3. Which is the third smallest value? (a) -3\/10 (b) 86 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6158.876l to millilitres.\nAnswer: 6158876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)*d**(2\/7))**(1\/26)\/(d**(1\/5)*d**6*d*d*d**5*d*d*d**(-6)) assuming d is positive.\nAnswer: d**(-50137\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 6*y - 596*y**2 + 2198*y**2.\nAnswer: 1602*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*g**6 - 1339*g**2 wrt g?\nAnswer: 30120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4470153 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 10) to base 15\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*y - 1334 - 1386 = 0 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 324233, 647794, 971353, 1294910?\n\"Answer: -p**2 + 323564*p + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = h, -29*f - 12 = -25*f + 4*h. Sort -2\/5, 1.1, 11, 1, f in descending order.\nAnswer: 11, 1.1, 1, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from jddjjjjdjddjjdjjjjj.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3366 - -9.\nAnswer: -3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*i - 287*i + 440*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(-31*k**2 - 16*k**2 - 4*k**2)*(-1 + 2 - 3) to j*k + n + z*k**2 and give z.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 215264.8 (b) 5\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h**2 + 3*h**2 + 0*h**2 + 0*h**2 - 2*h**2 + (-5 + 4 - 1 + (0 - 2 - 3)*(-1 + 2 - 2))*(-3 - 1 + 3)*(-4 + 4 + 95*h**2).\nAnswer: -285*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18345, 18342, 18333, 18318, 18297?\nAnswer: 18270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -5 + 15 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 920254.1 litres?\nAnswer: 920254100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**2 + 2 + 200*m**3 - 192*m**3 - m**2 + 2*m**2 wrt m?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Let s(a) = -642*a. Determine 12*g(r) - 2*s(r).\nAnswer: 1260*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/145 or -1?\nAnswer: -4\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7463 is divided by 7455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 3805 = -4*y + 3921, -9 = -2*j - 3*y for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*l - 2*m + m, -7 = -l - m. Let c be 3\/((-18)\/l)*-3. Let n(q) = q + 3. Let k be n(0). Sort c, k, -1\/4.\nAnswer: -1\/4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53a (base 12) in base 9?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + 460. What are the prime factors of m?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67 + 1 + 77*k - 70 wrt k.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52804 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: Let v = -12 - -17. Suppose 0 = t + r - v, -3*r + 6*r = 0. Suppose u + 16 = t*u. Solve -20 = -u*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 54 = 18*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l**2 + 4*l + 17. Let j(w) = -52*w**2 - 13*w - 52. Let p(u) = 4*j(u) + 13*k(u). Differentiate p(q) wrt q.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 516726 and 1674?\nAnswer: 16018506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1133*v**2 + 403*v**2 + 732*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76139898 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/7)\/h)**(-22)*h**6*h**0\/h assuming h is positive.\nAnswer: h**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**3 - 5*w + 7. Let f(a) = -3*a**3 + 2*a - 3. Let b(q) = -q**2 - 10*q + 6. Let o be b(-11). Let p(m) = o*f(m) - 2*k(m). Differentiate p(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640 (base 7) to base 12.\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139410 and 1.6?\nAnswer: 223056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 36 + -24 + 20 - (45 + -1).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*s - 6*s + 47, k - 11 = 5*s. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043064 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 47*n**2 + 13*n + 1. Let t(z) = 24*z**2 + 7*z. Let k(j) = -5*t(j) + 3*x(j). Let s be k(-1). Calculate the highest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32643842 divided by -6?\nAnswer: -16321921\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d - d - 5*d**3 + 3*d**3.\nAnswer: -2*d**3 + 56*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -109. What is the units digit of (-2398)\/x - 4\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02881 to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.17 + 32.37. Let j = 12.482 - -0.018. Let f = j - -0.5. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185070 - 555211\/3. Let l = -1.1 + 6.1. Which is the second biggest value? (a) -2\/11 (b) l (c) n (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Suppose -23 = 5*q - 4*t - 8, -3*t + 11 = -4*q. What is the lowest common multiple of q and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3154 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248870 and 380?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -360*v. Let s(n) = -31*n + 22. Let k(o) = -17*o + 12. Let u(h) = 11*k(h) - 6*s(h). Calculate u(r(q)).\nAnswer: 360*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/240 + 113*y**4\/48 - 12769*y**3\/24 + 1341*y**2 + 2. Factor j(w).\nAnswer: -(w - 113)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 30*f**2. Let o(r) = 11*r - 32*r + 20*r + 4*r + 12*r. Give z(o(d)).\nAnswer: 6750*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10\/3)\/n**17 assuming n is positive.\nAnswer: n**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -761 - -1910. Suppose -4*s = -u - 83. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2293 is divided by 1241?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u + 40*u - 521 - 16*u + 229 + 292.\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t - 1395 + 20*t - 9*t + 183*t**2 + 1394 in the form i + p*t + w*t**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 17 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbjjbbsbssssss. What is prob of sequence bsj?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49719)\/(-7) - 14\/(-49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101 (base 2) to base 9.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 8*q - 2. Let a be g(7). Suppose m + 4*z - a = 3*z, 17 = 4*m + z. Calculate the greatest common factor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 77. What is the derivative of -2*b - 7*b**3 - q*b**3 + 2*b - 13 wrt b?\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*g - 78, 0 = 2*g - 8 - 2. Suppose 20 = -5*p, -3*h + 0*p + s = p. Factor 8*o - 2*o + 0*o - 2*o + h*o**2.\nAnswer: 4*o*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 14 = -8, -21870003 = -3*z + j. What is z rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 0.1395593.\nAnswer: -12.1395593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234422*b + 124864*b + 109541*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53408 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 258*m**2. Let s(f) = 20911*f**2. Give k(s(d)).\nAnswer: 112815639618*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 5. Suppose 0 = -3*p - 4*v + 19, -2*v = -5*p - 4*v + 27. Let t be f(p). Suppose -2850 = t*l - 0*l. What is l rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -1569*y**5\/20 - 503*y**4\/3 + 4*y**2 + 889*y. What is the second derivative of k(o) wrt o?\nAnswer: -9414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btfbtnb. Give prob of picking 1 n, 1 f, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((0 - (4 + -1)) + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 2*h - 24, -7346*n + 7347*n + 78 = 5*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 - 17*v**2 + 7*v**2)*(3*v - v - 4*v).\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14608, 18311, 24482, 33121, 44228?\n\"Answer: 1234*y**2 + y + 13373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101132 (base 4) in base 12?\nAnswer: -7912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.68 and 15.\nAnswer: 15.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*s**3 - 1006*s**3 + 261*s**3 + 254*s**3 + 243*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*a*j**3 + 2*a*j*z + 2*a*z**2 + 89*j**3*z**2 + 3*j**2*z**2 wrt a.\nAnswer: -49*j**3 + 2*j*z + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 5. Let v be l(-4). Suppose -2*o - v*d = 0, -3*o = 2*o + 5*d. Let t = 2\/27 - 5\/27. What is the closest to 4 in o, -2, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g - 21*g - 96 = 0. Solve 2*b - g*j = -10, 5*b + 2*j + 2 = -23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0 + 0*c**6 + 0*c**5 + 0*c**3 - 2*c**2 + 0*c**7 + 0*c + 1\/8*c**4 + 1\/336*c**8. Find the second derivative of d(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893585270?\nAnswer: 2, 5, 109, 167, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 - 10*d + 6. Let s be k(6). Which is smaller: -2\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 99, 180, 293, 438?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 502 = 3*w, 2*t - 5*t + 753 = 2*w. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602\/(-504) + (-280)\/(-630).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*13\/(1092\/(-266)). Solve -21 = 5*x - t, 18 = -5*x + a*t - 21*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 151550 and 903.1251.\nAnswer: 152453.1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8 = -5*n, 5*n - 642907 = -3*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.551619 to three dps.\nAnswer: -8.552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 12. Let r = 207.6 - 207.3. What is the closest to f in r, -2\/3, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3896586252.\nAnswer: 2, 3, 13, 17, 89, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4986451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -5, -18, -31, -44, -57?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s**3\/2 + 3*s**2\/2 - 63*s\/2 - 3\/2 = 0. What is s?\nAnswer: -1, -1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28142, -111985, -251524, -446765, -697714, -1004377, -1366760, -1784869?\nAnswer: -2258710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34445 (base 6) to base 14\nAnswer: -1b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/168)\/(111\/444)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 4, q: 4, g: 4, h: 3}. What is prob of sequence hh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, -14, -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmypapm. Give prob of sequence mpmm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoeooeeooeeo. Give prob of picking 1 e and 1 o.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636860107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -78419595 divided by 26139865?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3)*1 - 5*sqrt(300)) + (-6*sqrt(192) - 1*sqrt(48))**2.\nAnswer: -45*sqrt(3) + 8112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - y + 450. Factor -y*a**2 + a**5 - 3*a**4 + a**5 + 3*a**3 - 5*a**5 + 78*a**2.\nAnswer: -3*a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/20 - o**3\/3 + 3*o**2\/2 - 8*o. Determine q(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5832 and 58806?\nAnswer: 705672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r - 2*r + 2*r = 28 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72497 is divided by 36208.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -805.5 + 971. What is w rounded to 0 decimal places?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 4*s + 4. Let x(m) = -m**2 - 1. Let c(v) = -k(v) - 3*x(v). What is the units digit of c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.029 and -4260.\nAnswer: -4260.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2541 = -11*j + 1606. What is the remainder when j is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*t*x - 232*t - 2*x wrt x?\nAnswer: -40*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 5, q: 3, a: 7}. Give prob of sequence qs.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 7:54 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51331\/52305 - -35\/951. What is the common denominator of w and 65\/1078?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0.05 (c) 72.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(1 + -5*sqrt(208)*1)**2*-1.\nAnswer: -80*sqrt(13) + 10402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39616, -158469, -356558, -633883, -990444, -1426241?\nAnswer: -1941274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111874 divided by -427?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaa when three letters picked without replacement from {u: 2, e: 2, a: 10}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d + 979. Suppose -3*g + 2*j - 2 = 0, 5*g - 5*j + 5 = -0. Is 17 a factor of c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - r**2 + 4*r**2 + (-4*r - r + 4*r)*(-2 + 2 - 2*r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 + 349. Let j = 171 - b. Solve j + 0*o - 1\/2*o**5 + 0*o**2 + 1\/2*o**4 + o**3 = 0 for o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + a8188?\nAnswer: a8181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + j - 814989 - 38202, -1137608 = -4*t + 2*j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 47*n**5\/60 + 37*n**2. Let h(t) = t. Give h(m(g)).\nAnswer: 47*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -52315.37336 rounded to 0 dps?\nAnswer: -52315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (225696\/104 - 9) + (-2)\/13 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110 (base 2) to base 11.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-12) - (-6)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 5*w**2 + 5*w - 8. Let k be g(4). Sort -1, 2, k, 3.\nAnswer: k, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -33. Suppose 5*f = -2*i - 180, 0*i + 2*i - 72 = u*f. Let k = f + 52. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129281427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724177709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {a: 2, f: 1, n: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Simplify (1*sqrt(143)*-4 - (sqrt(143)*1 + sqrt(143))*-4)\/(sqrt(77)\/(sqrt(7) - -3*(sqrt(7) + sqrt(252))))*4.\nAnswer: 352*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 5*o + 1. Let b be x(-4). Let f = 6 + -1. Suppose 0 = b*i - 25, -f*i + 4 = w - 27. What is the lowest common multiple of 8 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198322 divided by 307?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -607*z - 40. Is r(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 4:44 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (490 - (-2 - -1)) + 228\/57.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18523\/20 - 926. Suppose -3*j = -3*y + 6, 6*y - 3*j = 2*y + 12. Suppose u + 1 = 2*h + y, 3 = -h. Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3581270 divided by 7\nAnswer: -511610","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9037459 to the nearest integer?\nAnswer: 3006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97 and 679.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 59 = -4*q, 5*o + 0*q - 54 = -q. Let a = o - 16. Let b(d) = -4*d**2 - 3*d - 2. Let n(g) = -3*g**2 - 2*g - 2. What is a*n(t) + 4*b(t)?\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127 + -6.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**3 + 3*s**3 + 13*s**2 - 8*s**3 in the form z*s**2 + k + b*s**3 + f*s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 + 80. Determine u(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iysdiyybisiiibyddy. What is prob of picking 1 b, 1 d, and 1 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -2750987.86511593.\nAnswer: -2750987.66511593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -1. Let p = -1.2 - f. Let v(o) = -10*o + 41. Let k be v(4). Which is the biggest value? (a) p (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111100 (base 3) to base 8\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1284 by -1284.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by -100251.\nAnswer: 143\/100251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186811514.996174 - 186808028. Let l = y - 3487. Round l to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -4. Suppose p*j - 1151 = 893. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 + 11)*(-12*v + 2*v + 22*v)*(-4 + 0 - 1) + 2*v + 4*v - 5*v.\nAnswer: -1199*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -12735?\nAnswer: 12732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-195)\/60)\/(2\/(-120)) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2182*z**3 - 4*z - 1089*z**3 - 1086*z**3 - 3*z**2 + (2*z - z + 0*z)*(-2*z**2 + 2 - 2).\nAnswer: 5*z**3 - 3*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7672, 7679, 7688, 7699, 7712?\nAnswer: 7727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1083 + 1968. What is the highest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 1. Let x be u(2). Suppose -2*v + 9 - x = 0. Let 2*m**2 - 5*m**v + 8*m + 2*m**2 - 4 + 3*m**2 = 0. Calculate m.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559001?\nAnswer: 559001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 150, 226, 302, 378, 454?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + k + 1. Let w be c(-2). Let p = w - -13. Let i(o) = o - o - o + p*o. Let a(r) = 5*r**2. Calculate a(i(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -227228 < -227233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5090 + -5087. Sort -3, -2, 2, -12, z.\nAnswer: -12, -3, -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z - 22 - 29 = 124 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 5241.\nAnswer: 0, 13, 5241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.838159 years?\nAnswer: 70.057908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22.4 and 0.15049?\nAnswer: 22.55049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 - 23*b - 3. Suppose 5*a - 25 = -5*f + 4*f, 2*a - 2*f = 10. Let n be j(a). Which is bigger: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from ykktktttkttkekkykt?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/(-84))\/((-7)\/28))\/(5\/90).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 1039189964*w\/9 + 134989472659790162\/9.\nAnswer: 2*(w + 259797491)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-5 - 0)) + -3. What is the third derivative of -5*z**4 + 2*z**4 - 2*z**2 + 0*z + u*z wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294567909 to the power of 1\/2, to the nearest integer?\nAnswer: 17163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 + (-33840)\/736)*(-2)\/(-2 + 1)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457 + 443. Let u(b) = -5*b - 36. Let i(w) = -17*w - 109. Let y(a) = l*u(a) + 4*i(a). Let g(v) = 4*v. Calculate y(g(m)).\nAnswer: 8*m + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1837280 divided by -2\nAnswer: 918640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40014121 (base 5) in base 3?\nAnswer: 120221021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61998620?\nAnswer: 2, 5, 71, 43661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46968 - 49329.9. Let z = 2482 + u. Let g = 120 - z. Which is greater: g or 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - 9.91. Let o = 9 + g. Let s = -0.6 - o. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6*2\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 259*k - 247*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 2*t**2 - t - 3. Suppose 7*u = 2*u - 20. Let c be r(u). What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 7. Suppose z + 8 = 5*z. Let v = 0 - -1. Solve -z*q - v = n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/140 and -51\/81280.\nAnswer: 568960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 38*z**2 - 1350*z + 39*z**2 - 229*z + 419*z - 316*z as l*z + p*z**2 + h and give l.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 152 + 149 - 460 + 159.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {z: 2, u: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 a when four letters picked without replacement from aaaaapapapaapaaaaap.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -8, 58 in decreasing order.\nAnswer: 58, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270804 and 1286319?\nAnswer: 5145276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 217173.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/9 (c) 2\/17 (d) 0.4 (e) 0 (f) -36849.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 7*d**2 + 3*d - 14. Let b be o(-6). Suppose -2432 = -b*h - 4*j, -2*h = 3*j + j - 1208. Is 68 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/88)\/3)\/(91\/(-182))*630\/(-35).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.864077 centimeters?\nAnswer: 0.00009864077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34232113 + 0?\nAnswer: 34232113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.1689 centuries to decades.\nAnswer: 371.689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/4 + r**3\/3 + 32*r**2. Suppose 4*q - 3*q = 5. Let s = 8 - q. Give j(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-5)\/10 + 7. Solve -f + 5 - 15 = -k, v*f + 4*k + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -57300522.\nAnswer: 1\/19100174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:00 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/150)\/(6\/(-528))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*c = 0, -33*y + c + 9 = -32*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 880578925 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -211, -421, -631, -841, -1051?\n\"Answer: -210*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -27. Let n be (72\/(-60))\/(r\/10). Suppose 12 = 5*s - i, s - 1 = -n*i - 5. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p + 31. Let v(z) = z**2 + 4*z + 46. Let n(i) = -2*v(i) + 3*x(i). Calculate n(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(5\/(-25)*1). Let m be -35*3\/p - 3\/(-5). What is the greatest common factor of 6 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*b - 0*v - 92, -2*b + 106 = -4*v. Suppose 3*t + t = -3*g + b, -4*g = 4*t - 60. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 1. Let m be u(-1). Sort m, 4, -5.\nAnswer: -5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14208972 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1322\/44*(138 + -140) - 9\/(-99) - 6.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q - 2*q + 33*q + 3*f - 55 = 0, q + 11 = 6*f for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163580 + 341119. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 17083434.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 117 = 90. Let l be 12\/q + 135\/81. Solve -s - 4 = l*s, -3*j - 13 = -2*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -39. Let d = 24 + -25.3. Let r = d + 0.3. Which is the nearest to r? (a) t (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 2*s + 3. Let p = 6 - 3. Suppose -a + 2*b = -12, -p*a + b - 9 = -50. What is the smallest common multiple of c(-3) and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 46880444.\nAnswer: -1\/11720111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {k: 2, d: 6, t: 3, n: 1, q: 5, v: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6443330657.00000252 - -6443330515. Let y = h - -142. What is y rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19463840 is divided by 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:12 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 16, s: 4}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 4*p - 3. Let x be z(-4). Let y be 45\/(-12) - 2\/8. Let q be 15\/y - (-12)\/3. What is the smallest value in 2, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 13*m = -8*m + 9, -2*m - 10 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.55 greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -520 - -681. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 2151 - 213*w**3 - 18*w**3 + 2157 to d*w**2 + y*w**3 + u*w + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/8)\/((-300)\/(-100))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*f + 4 = -f, 2*f = 0. Suppose -l + q = l. Let h(x) = -4*x - l + 1 + 5*x. Give h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3092438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = -3*h + 163729 - 163776, 4*h - 33 = -3*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 16. Determine p(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222 or 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 + 4 = 0. Let a(t) = -t**3 - t + 1. Let k(d) = -3*d**3 - 1. Let i(f) = p*k(f) + a(f). What is the second derivative of i(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 61 = -z, 183 - 508 = -5*t + z. What is the remainder when 1245 is divided by t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30240673 to the power of 1\/2, to the nearest integer?\nAnswer: 5499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 143165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 1. Let m be z(1). Is (-2778)\/(-18) - (-4)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14913 - -6?\nAnswer: 14919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 6 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 184430000 to the nearest 1000000.\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4296674 is divided by 61.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 6. Suppose 2*g + w*g - 24 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 7*v. Suppose v = r + 5, 2*r + 79 = p + 2*p. Let n(m) = m**3 - 3*m**2 - m. Calculate the remainder when p is divided by n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 11:20 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 82356.89 to the nearest one thousand.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -4*l - 62. Factor -l*m - 24 + 174*m - 57*m - 2*m**3 - 6*m**2 - 43*m.\nAnswer: -2*(m - 2)*(m - 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1796234, -1796274, -1796326, -1796384, -1796442?\nAnswer: -1796494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/(-336))\/(14\/6)*7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2205174, 2205171, 2205168?\nAnswer: 2205165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w + 50*w = 17*w - 2185 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -729 - -728.689. Let q = t + 0.23. What is q rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-19 - -17) + 49 - 18?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 + 6*o. Suppose -4*q + 0*w = -w + 18, -5*q - 14 = 3*w. Let r(y) = -6*y**2 - 5*y. Calculate q*g(u) - 5*r(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*r - 12 = -3*t, -4*t + 19 = -3*r. Suppose -3*j + t*j = 0. Sort j, -1, -5 in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8384038*s**4 + 12481485 with respect to s.\nAnswer: 33536152*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1403 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/7112 or -1?\nAnswer: -5\/7112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u**2 + 33*u**2 + 8*u**2 + 20*u**2.\nAnswer: 89*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -166*m**2 - 20*m - 350. Let v be p(-25). What is v rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)*-2 - sqrt(48)\/sqrt(2)*3)\/(4*((sqrt(12) - sqrt(60)\/sqrt(5)) + sqrt(12))*-1).\nAnswer: 17*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.62 (c) 93.979\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - 70. Let h = 41 + d. Let w = 70 + h. What is the greatest common factor of w and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 6*o**4 + 14*o**4 + 2*o**2 - o**3 - 10*o**4 - 2*o to n*o + h*o**3 + c*o**2 + r*o**4 + y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 343464 and -1.\nAnswer: -343464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -10. Suppose h = -2*t + 10. Put t, 3, 5 in increasing order.\nAnswer: 3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/(-16) - 2\/8. Suppose m*k + 4 = 43. Suppose -2*n + 4*n = 2*x + 68, 0 = 4*x - 12. What is the remainder when n is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 3. Let d(y) = 112*y + 292. Let s(x) = -2*d(x) + 104*p(x). What is the first derivative of s(g) wrt g?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/19)\/f*f**9*f**(-2\/25)\/(f**(2\/11)*f)*(f*f**(-2)*f*f)**16*f*f\/((f**(9\/4)*f*f)\/f)*f\/(f**(-2\/9)*f) assuming f is positive.\nAnswer: f**(4103527\/188100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4882750 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4310 = 3*k - 16703, 0 = -3*s + 4*k + 12428. List the prime factors of s.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/84 and 59\/236385.\nAnswer: 6618780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1526, -1544, -1562, -1580?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {i: 1, h: 2, d: 1, l: 5, x: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 15. Let i be p(12). Sort 2, i, -3 in decreasing order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 2)*(-4 + 1 + 5) - 7 - 3 + 3 - 4 + 5 - 2)*(-17*d - d**2 + 17*d - 2*d - 3*d**2 + 2*d + (4*d**2 - d**2 - 5*d**2)*(2 + 0 - 4) - 1 + 1 - 2*d**2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 700 - 702. Which is the third smallest value? (a) y (b) -0.2 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtt when three letters picked without replacement from ttvvvt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -4, 4667, 4 in decreasing order.\nAnswer: 4667, 32, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/9 - 8\/(-36). Suppose 0 = 3*l - o*l + 5. Is -4 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -1. Calculate the highest common divisor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 b when four letters picked without replacement from {d: 1, k: 1, z: 1, b: 3, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -11 (c) 1905 (d) -3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jghhghhhghhgh. What is prob of picking 2 h?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) -5 (b) -1 (c) 9\/415 (d) 2\/9 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dddc11e + -4?\nAnswer: -dddc123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28270 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 21*m - 1. Let q(b) = -b - 1. Let a(u) = -24*u - 10. Let r(o) = -11*o - 5. Let d(n) = 2*a(n) - 5*r(n). Let h(w) = -d(w) - 5*q(w). Give h(j(v)).\nAnswer: -42*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*n + 960 = 183*n. Calculate the least common multiple of 40 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164109 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 967111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 8. Which is the second biggest value? (a) 2 (b) p (c) 1\/4 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 = -4. Let b(s) = 9*s - 14*s - s - 1 + 5*s. Let c be b(-3). Solve -m*a - c*a - 4*l - 24 = 0, -2*l = -a - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 379*y**3\/3 + 173. Let r(c) = -2*c**2. Calculate w(r(z)).\nAnswer: 1516*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**1*g))**(2\/79)*g**26*g\/(g\/g**30) assuming g is positive.\nAnswer: g**(4422\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 91 = -35. What is the remainder when 40 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -309, -451, -585?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47227\/234 - -2571\/13. Calculate the common denominator of a and (-2)\/4*(2 - -15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 68.1 times 3268?\nAnswer: 222550.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 3 + 21. Suppose -4*y - 304 = -3*i, -4*i + 398 = w*y - 0*y. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s. Suppose -9*a + 33 = -588. Let j = a + -68. Is 10 a factor of c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 4*a + 13, 2*a = 4*w - 66. Does 18 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 530?\nAnswer: 1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 41 - 40. Let z = v - 26. Is z - 415\/(3 - 8) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 319662 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-364)\/12. Let b = 51 + -72. Let n = q + b. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734*k + 795*k - 1294359 = 0. List the prime factors of k.\nAnswer: 3, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/4*(-7)\/98?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1185 = -305. Let v = o + -637. Let h = 346 + v. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204.148 + -204. Let p = 0.18075 - z. What is p rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -39\/2. Let d be 0\/(-1) + -4 + 2. Which is the third biggest value? (a) t (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmmm when four letters picked without replacement from {v: 8, r: 1, m: 11}?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by -35762?\nAnswer: -112\/17881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6*d + 320 = 0. Suppose 41*w = d*w + 166. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81084, 324351, 729796, 1297419, 2027220, 2919199?\nAnswer: 3973356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let k be -8 - (-546)\/63 - 4\/6. Sort i, -1, k in decreasing order.\nAnswer: i, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 507?\nAnswer: 50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.3. Let r = x + -0.6. Let p = 2.9 - 3. Which is greater: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-240)\/(-8))\/(-1 - 0). Let v be 2 - m\/(-8) - -1. Let q = -0.68 - 0.32. What is the closest to q in -1\/2, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -441*q**3 - 105*q**2 + 105*q. Let s(h) = -1808*h**3 - 4*h**2 + 670*h**3 + 1121*h**3 + 4*h. Determine -105*s(y) + 4*u(y).\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/2)*w*w*w**(-2\/3))**(-31))**(4\/9))**17 assuming w is positive.\nAnswer: w**(-11594\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 594406303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 11. Find the third derivative of 3*s**2 + s**5 - 2*s**2 - 4*s**z wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18060 divided by -5.\nAnswer: 3612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -31. Suppose 2*h - 245 = -3*g, -2*g = -4*h + 2*h - x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 21. Let y = t - -6.3. Which is the closest to 2\/5? (a) 3 (b) y (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 928662 or 928663?\nAnswer: 928662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3471 and -86\/2223.\nAnswer: 197847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 15) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = d - 18. Let j = 82 - d. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 70?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 517462330 + 192056727. Let v = x - 709519053.44000157. Let l = v - 3.56. What is l rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Let t(i) = -i**2 + 16*i - 36. Let l be t(13). Is s <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhhh when four letters picked without replacement from {h: 7, q: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 11 = -513*z + 518*z, 0 = 2*x + 4*z + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5356464 divided by -446372\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - (-90 + -18)) + 58.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*y + 4*f, -4*f + 62 = -0*y - 5*y. Let d be (-26)\/(-10) - 4\/y. Factor 3 + 0 - 3*r**2 + 1 - d*r - 5 - r**3.\nAnswer: -(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*r + 8*r - 30, 3*r - 30 = 2*x. Suppose 0 = r*d - 8*d - 116. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -k - 10, -5*k + 0*a = -5*a + 5. Suppose -5 = -s - 2*c, -k*c + 50 = 2*s + 2*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002111110 - 1?\nAnswer: 10002111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 170 + 19?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 661\/7 - 95. Let s be (-1 + -1 - -2)\/(-1). What is the closest to 1 in f, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a factor of 2141623510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1543, -1560, -1577?\n\"Answer: -17*t - 1526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 + f. Suppose -k - 14 = k - 3*y, -k + 19 = 5*y. Let w be v(k). Differentiate w - 28*z**2 + 31*z**2 - 2 with respect to z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 5886067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.264136569 to five dps.\nAnswer: -1.26414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155798 + -155797.11923. Round a to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/2197140 and 5\/1611236.\nAnswer: 24168540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 107, 96, 71, 26, -45, -148?\n\"Answer: -s**3 - s**2 - s + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.231755847 to three decimal places.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005 - 452 - 553 - 12517*c.\nAnswer: -12517*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 456 - 906 + 450 - 3653*b + (-2 + 4 - 4)*(-2 + 2 - 2*b).\nAnswer: -3649*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = w + w. Calculate the remainder when w is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -8 in ascending order.\nAnswer: -8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/45)\/((-8)\/30)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*p**2*x**3 + 2*p**2 - 15*p - 16*x**3 wrt p?\nAnswer: -36*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/3, -1\/5, 3\/2 in decreasing order.\nAnswer: 3\/2, -1\/5, -1\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1338, 5022, 11036, 19380, 30054?\nAnswer: 43058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -17 + 18 + 4 + -22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 173628.\nAnswer: 2951676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2525 + 5059 + 1581*w - 1621*w - 2532.\nAnswer: -40*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039542657 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-504)*(-3)\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1717, -3420, -5123, -6826, -8529, -10232?\n\"Answer: -1703*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 36635.\nAnswer: 219810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from wzwwonwpwbwbwwz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:32 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + -135.1. Let f = 6 + b. Suppose -3*a + 2*a + l = -4, 0 = -l - 5. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u + 4*m + 6, 0 = -2*m. Let h be ((-2)\/5)\/(u\/40). Suppose o - 24 = -2*o. What is the greatest common divisor of o and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*m + 65*m + 44*m**3.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(-87)*(22\/(-8) - -3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (98 - 91)) + (1 - -35).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826.195 millimeters to meters.\nAnswer: 0.826195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b - 243 = 175 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-792)*-63)\/((-147)\/(-112))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 136, 273, 412, 553, 696, 841, 988?\n\"Answer: k**2 + 134*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.8. Let s = 3401.2 + -3406.2. Which is the closest to n? (a) s (b) -0.5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3449 take away -4090.2?\nAnswer: 7539.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - u = -1 - 0, 0 = -t - 2*u + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 33. Let u be g(11). Let q(j) = -3*j. Let z be q(u). Solve -p = z, -11 = -2*w + 5*p - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22042 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46 - 0?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -66555 - 0.0485976327?\nAnswer: -66555.0485976327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28110 + -14796. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944 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: Which is the third smallest value? (a) -0.1 (b) 54 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**2 + 68*s + 5. Let r be y(7). Calculate the greatest common factor of 70 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 3 + 3*k - 8)*(k**2 - 2 - 3*k**2 + 1) as g*k**2 + i*k**3 + t + b*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 12*j**2 + 10*j + 3. Calculate the smallest common multiple of m(-11) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (0 - -6 - (-4 - 120 - -117))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (41640\/(-9716))\/(30\/(-399))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 49294.\nAnswer: -29\/49294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.2215?\nAnswer: -1.7785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1306 + -19.3106. Let w = -18.82 - 0.18. Let z = m - w. Round z to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*-1*(0 + sqrt(13) + 4))**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*l**5 + 1898*l**5 - 249*l**5 + (l**4 + 0*l**4 + 0*l**4)*(2*l + 1 - 1) + 4*l**3 - 4*l**3 + 2*l**5.\nAnswer: 1585*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14498 - -14499. Sort -5, -3, 2, h in descending order.\nAnswer: 2, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 516*m**2 + 43. Suppose 4*g - 79 = -3*h + 84, 0 = -2*g - 2*h + 80. Let j(f) = 47*f**2 + 4. Determine g*j(r) - 4*l(r).\nAnswer: -43*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from appapp. What is prob of picking 3 a and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 3*t**2 + 2*t + 9. Calculate m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1425*x**2 - 74*x + 279712 wrt x.\nAnswer: 2850*x - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 55\/3*g**3 + 5*g**4 + 0*g - 15\/2*g**2 - 36. Determine x so that r(x) = 0.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = 2*r - 4*r, 2*r + 8 = 0. Let z be (3\/a)\/((-1)\/(-8)). Sort z, -1, 0 in descending order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**26)\/p)\/(p*p\/p**(-13)) assuming p is positive.\nAnswer: p**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 1:17 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/27)\/(p\/p**11*p*p)*(p\/p**(-2\/21))**(10\/3))**(-9\/8) assuming p is positive.\nAnswer: p**(-277\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2529 is divided by 196.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 671*j + 13421. Calculate b(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 4}. Give prob of sequence qqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75461\/10 + -7535. Find the common denominator of -31\/8 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 24. Let o = 14976 + -14975.9. Put 0.5, o, n in decreasing order.\nAnswer: 0.5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*g - 5*y, g + 3*g + 3*y - 3 = 0. Suppose -3*z + 3 = -2*z. Suppose g*q - z = 2*q. Solve -6 + q = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -189*i**2 - 1139*i - 35. What is z(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 16160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 + 3)) + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + -6 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139\/3 + -45. Let g be (-3)\/(-5) - (-5)\/(-25). Sort g, p, -0.2 in decreasing order.\nAnswer: p, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*s - 21*s - 30. Solve -5 = 4*l + 4*p - 29, 2*p = s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 11:17 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21968389 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + -23.15. Let n = 23 + s. Which is bigger: -0.7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267650 to the nearest one thousand.\nAnswer: -268000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-480)*(14\/9 + -1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:26 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21104 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 109*l + 849. Let q be s(7). Let c(x) = -4*x - 36. Give c(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - -167. Let a = 9 - 7. Calculate the common denominator of 455\/m + a\/6 and -83\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, s: 2, j: 1}. Give prob of sequence jsaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 701 and 237629186?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016738 to four decimal places.\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 10839, 0, -0.5, 5 in increasing order.\nAnswer: -4, -0.5, -0.1, 0, 5, 10839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -137, 0.5.\nAnswer: -137, -5, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 2, a: 11, g: 4}. What is prob of sequence ugu?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.853947 decades?\nAnswer: 58.53947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20667 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7306152279 to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 56359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*v**2 + 137*v**3 - 59*v**2 + (2*v**2 - 66*v + 66*v)*(2*v - 4*v + 4*v).\nAnswer: 141*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (425\/(-1275))\/(1*(-8)\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2535 divided by 4?\nAnswer: -2535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(3 - (-59)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14570, 14558, 14544, 14528?\n\"Answer: -t**2 - 9*t + 14580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 726124.14s in hours?\nAnswer: 201.70115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4352 (b) -0.03 (c) 3436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 189, 755, 1697, 3015, 4709, 6779, 9225?\n\"Answer: 188*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -y - 4*s, 0 = -2*y - s + 4*s - 8. Put y, 0.5, -19, -10, 4 in descending order.\nAnswer: y, 4, 0.5, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -24, -3*y + 14 = -5*y + 2*q. Let g = 1.04 + -1. Let z = g + 0.36. Sort 0.04, z, y.\nAnswer: y, 0.04, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1020 = -4*n - 3*w, 4*w + 784 = 4*n. List the prime factors of n.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 24.4\nAnswer: -97.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, -1618, -3193, -5266, -7831?\nAnswer: -10882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187864 (base 9) in base 5?\nAnswer: 300231403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/203? (a) 5478 (b) -2\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 37. What is the greatest common factor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/491 (b) -35049 (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76))**2 + -5 + -3 + (sqrt(76) - (sqrt(76) - (-1 + sqrt(76)))**2)*3.\nAnswer: 6*sqrt(19) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.2 (b) -4\/5 (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33040 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/60 - p**4\/4 + p**3\/3 + p**2. Let a be y(6). Suppose -8 = -a*s - 2*s. Solve -s*g - g = 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 649*h - 4554. What is the units digit of j(62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4640, -6137, -7634, -9131?\nAnswer: -10628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -6 - -3 - -2) + (24 + -19 - -21).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:41 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 6*z - 10. Let i be a(-8). Let y(p) = -p**2 + 6*p + 3. Let h be y(i). Let v be 2\/((-36)\/h + -1). Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5*(sqrt(84)*-2 + sqrt(21)))\/((sqrt(847) + (sqrt(847) - -2*sqrt(847)) - sqrt(847))*2) + 5).\nAnswer: -10 - 5*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 671647 = -566993. Let q be t\/170 - (-8)\/(-68). What is the greatest common factor of q and 240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -214\/3, -3, 0.5, 1\/497?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:46 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 216 and -9351.\nAnswer: -2019816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-5)*(8 + 11\/(-2)). Suppose z - n = 9 - 2, n + 31 = y*z. List the prime factors of (165\/(-44))\/((-6)\/z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-21 + (3 - 9)) - 15) + (0 - 39).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose -2*v = 2*v - y. List the prime factors of 1*v\/(-2)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 334223.1 days?\nAnswer: 8021354.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3925, 15589, 35041, 62287, 97333, 140185, 190849?\n\"Answer: p**3 + 3888*p**2 - 7*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69720.\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000101 - 10000100?\nAnswer: -1011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3318 + -3318.4. Let m be 1\/(1\/((-3)\/1)). What is the closest to 1\/3 in m, -5, -4\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcmymeckkqmeyymyyee. Give prob of picking 1 m, 1 k, and 1 q.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6981195743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1075400 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-24)*10)\/(18\/2376*22)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**5\/20 - c**4\/12 - 2*c**3\/3 - 4. Let z(q) be the third derivative of s(q). Is z(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 1?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*v = -91*v + 30. What is the second smallest value in 4\/5, 7, v?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2)*36\/72. Solve -2*q + 2 - 3 = 5*a, 0 = 2*a + q + x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (404\/(-9))\/4 + 11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = -2*i + x, -4*x = 9 - 1. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347206 divided by 192458?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 3*x + 2. Let m(n) = -3*n**2 - 9*n + 5. Let c(s) = -2*m(s) + 7*q(s). Let w be c(-4). Solve -3*g - 3*z - 13 = 5, w = -2*g + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + 4 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 0*w**3 - 5*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 132614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100121*k**2 + 736*k + 65 wrt k.\nAnswer: 200242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 6:19 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 3*g**5 - 2*g**5 + (2*g + 4*g + 0*g)*(2 + g**4 - 2).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14395124 or -14395131?\nAnswer: -14395124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*12\/(-10). Let z(d) = d**3 - 2*d**2 - 3*d + 2. Let j be z(h). Let s be (-1)\/((-2)\/20*j). Solve -s*v + 5*k = 0, -3*v = -k + 3*k + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - 18*g**2 - 15*g + 39. Let i(u) = u**3 - u**2 + 2*u + 1. Let n(c) = -2*i(c) - y(c). What are the prime factors of n(-17)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1061*m = -1064*m + 432. Calculate the least common multiple of 54 and m.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5322 + 5322 - 184*f.\nAnswer: -184*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -2 + -1)*34. Let v = 38 + r. Suppose -3*k = k - v. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, c: 5}. What is prob of sequence mc?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*t = -20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + 7*f - 11. What is the remainder when 216 is divided by x(3)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20001303123 - 11?\nAnswer: 20001303112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*64.\nAnswer: -4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 - 11*n**3\/6 + 29*n**2 + 2270*n. Determine q(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c**(2\/7))**(-1\/56)*(c*c\/(c*c*c\/(c**6\/c)*c)*c*c*c**(7\/2))**28 assuming c is positive.\nAnswer: c**(46621\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4 and (-1)\/7 - (-6 - (-3619)\/392).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40959 greater than 40962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -380*d*n**2 - 2*d*n - 72236*n**2 + 119971121*n - 1 wrt n?\nAnswer: -760*d - 144472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -188*x + 27 - 1083 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 + 1.67.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 + 418*k\/9 - 680\/3.\nAnswer: -2*(k - 204)*(k - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-21)*(-84)\/56\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 1 = -n + j + 5, 6*j - 39*j + 15 = 2*n - 34*j for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 10:58 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*t**2 + 76*t**2 + 1713 + 1713 - 3426.\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4 - 31*d**3 + 2527*d**2 + 126883*d + 1504926 = 0.\nAnswer: -31, -27, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-15))\/(80\/25). What is the closest to 1 in 2\/13, 11, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*x**3 - 7*x**2 - 2 + 9*x**2 - 100*x**3 - 96*x**3 - 302*x as j*x + q*x**2 + g + o*x**3 and give j.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*y**3 + 35\/2*y + 0*y**2 - 15.\nAnswer: -5*(y - 2)*(y - 1)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 + 3*m**2 - 2*m - 2. Let t be u(2). Let s be 48\/(-2)*6\/t. Calculate the highest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -120 and 4945?\nAnswer: 5065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68499.691 + -143306.724. Let h = -74742 - u. Let z = 65 - h. What is z rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2 - 3016*i**2 - 7*i + 3021*i**2 + 3 + 5. Let x be 4\/(-2*2\/4). Let r(z) = -z**2 - 1. Let a(t) = x*r(t) - n(t). Calculate a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 4. Suppose f*t - 530 = 585. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.132 - 0.032. Let r = n - 10. What is the closest to 18 in 0.3, -0.4, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5 - 10*z**4 + 6*z**3 + 18*z**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/20 - f**4\/12 + f**3\/6 - f**2\/2 - 22*f. Let n(x) = x**3 + 4*x**2 - 4*x + 4. Determine 4*c(o) + n(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -757 and 88962.\nAnswer: 88205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 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: Calculate 49*15\/7*25\/((-2375)\/(-19)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -74?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3766 - -3897. What is the third smallest value in s, 5, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 3812020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 divided by -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -7371?\nAnswer: 7374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2047*y**3 + 10*y**2 + 4*y - 140. Let a(s) = -6139*s**3 - 32*s**2 - 13*s + 418. Let z(r) = 4*a(r) + 13*g(r). Find the third derivative of z(p) wrt p.\nAnswer: 12330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-68)\/(-68)*(-2722)\/(-2).\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -849\/7 - -121. Suppose 64*a - 97 = 159. Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 4*a**7\/105 + 4*a**3\/3 + 4*a**2. What is the derivative of l(p) wrt p?\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5935 + 40*i + 5935)*(-3 + 2 + 4)*(3 - 4 + 3).\nAnswer: 240*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -57465?\nAnswer: -57461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 19, 26, 31, 34, 35?\n\"Answer: -x**2 + 12*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*v + 177 = 48*v - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 13*j**2 + 24*j - 4. Let k be r(-8). What is the greatest common divisor of 2914 and k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -197, -325, -449, -569, -685, -797?\n\"Answer: 2*i**2 - 134*i - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:01 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10411222011 (base 5) to base 2\nAnswer: -101011100110011011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957442 is divided by 265.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/55 - (-8820)\/1078?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-4))\/(2\/(-6)))\/((-351)\/(-546624)*-32).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-1) - (-157 - -81). Suppose 81*i + 2448 = v*i. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-4)*6\/(-10). Let x(z) = -z**3 - 8*z**2 - 8*z + 9. Let q be x(-7). Let r = 16 - q. Is r bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da - 23c?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c + 240 = -l - 3*l, 2*c = -9*l + 6*l - 85 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n - 6695. Let v = n - 139257\/104. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/(-14) - 2\/(14\/(-1)). Let m(p) = -p**2 + 3*p + 6. Calculate m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/1947 and -37\/12?\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 313242 and 9546?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17642.9 take away 145701.5?\nAnswer: -128058.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -288*h + 1389 - 2*h**3 - 1389 - 52*h**2.\nAnswer: -2*h*(h + 8)*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 5*k - 9. Let g be l(-6). Let c = 17 + g. Suppose -4*h + 0*o - 3*o + 11 = 0, 0 = -c*h + 5*o + 25. Solve d - h*d = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45152 + -30667. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 74*p - 278. What is g(0)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-18)*q)\/q*q)\/(q*q**(-3\/38)))\/((q*q**(-2\/77)\/q)\/q)**(-39) assuming q is positive.\nAnswer: q**(-169515\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11617056 and 1254.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4301 + 42989 = 16*g. List the prime factors of g.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(931))**2*-1 - 6*(sqrt(931) + -3)) + -2.\nAnswer: -919 - 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + k - 11 = 0, 0 = -3*o - 5*k + 36 - 5. Suppose -6 = -4*p + o. Solve t - 3*t = p*d - 12, 0 = -5*d + 2*t - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280473 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + v**3 - v**3)*(5*v + 11 - 49 + 45).\nAnswer: -10*v**4 - 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7*d - 50676 = -3*i, -4*d - 50678 = -3*i. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -130224427032 and 0.22.\nAnswer: -130224427031.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 11*k**2 - 11*k + 8. Let h be u(10). Let t be h\/((-2672436)\/6391734) - 5. Let x = t - -2\/6019. Find the common denominator of 7\/9 and x.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 356, 448, 528, 590, 628, 636?\n\"Answer: -n**3 + 99*n + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206953 + -24007699\/116. Let h = 5\/29 + q. Let u = 3377\/6 + -561. Calculate the common denominator of u and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 24 = -0*x. Let f(t) = 10*t - 148. What is the smallest common multiple of f(16) and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Suppose s*m - 2*m = 36. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42792 - 36752 = -151*m for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - -102)\/(-3*5\/(-20) - (-6 + 7)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 2*c. Find the common denominator of (243\/8)\/((-153)\/204) and (-31)\/110 + c\/15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11445)\/1308 + (2*(-9)\/(-24))\/(-3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 1) + 9 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6976*y**2 + 139521*y - 20.\nAnswer: -(y - 20)*(6976*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16486599113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -68?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**4 + 0*v + 3*v**3 + 179 - v - 175 to the form q*v**2 + g*v + s*v**3 + a + r*v**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 11:55 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/506158184 and -103\/154.\nAnswer: 5567740024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0*b + 7*b**2 + 2*b**3 - 5*b - 3*b**3. Suppose 23*h - 22*h = 6. What is o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 3, -10, 22 in increasing order.\nAnswer: -12, -10, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 362*q - 9 - 153*q - 186*q - 2*q**2 - 3*q**2 + 3*q**2. Let v be (-1 + 2)\/(1\/9). Does 9 divide o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:11 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -924857 take away 15044?\nAnswer: -939901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145 + 405. Let d = -90 + k. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159.2 + -158.89. What is the nearest to 1 in -3, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906279?\nAnswer: 3, 11, 29, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3996 = -921. Calculate the remainder when j\/20 - 2\/(-8) is divided by (-27)\/(-108) - (-201)\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2, -5, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/(-170))\/((-10)\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2261760 by -226176.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -140, -304, -518, -782, -1096?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + g**2 - g. Let s(r) be the third derivative of 1\/3*r**3 + 1\/20*r**5 + 0 - 5*r**2 + 0*r - 1\/8*r**4 - 1\/60*r**6. Determine 3*h(v) - s(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 403746767 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271086 or -19789242\/73?\nAnswer: -271086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16164 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -99. Let a be w\/((-98)\/500)*26\/(-65). Suppose 0 + 576\/7*o**5 + 8\/7*o**2 + a*o**3 + 416\/7*o**4 + 0*o = 0. Calculate o.\nAnswer: -1\/4, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2*k**2 + 5)*(0 + 1 - 2) + 0 + 0 - k**2 - 17*k + 4*k**2 + 17*k + (28 - k - 28)*(2*k - 2*k + k) in the form x*k**2 + j + d*k and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 1118322480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3501363257 take away -222.576?\nAnswer: -3501363034.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 0 + 0)*(-5 + 8 - 4)*(2 + 3 - 2) to the form z*m + n and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26919650 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2 - 2)*(-282*z + 60*z - 440*z).\nAnswer: 1324*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33244, -133583, -300814, -534937, -835952, -1203859, -1638658?\nAnswer: -2140349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.8398 + 7.8398. Let t be 1 + 1\/(-2)*1. What is the second smallest value in -3, i, t, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6185914 and 2478?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.93 + 0.07. Let b = -3.99952 + k. Round b to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((-4)\/(-3) + 26\/(-78))*0. What is the nearest to -3 in -26\/3, 1\/2, -2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 2)*5 + sqrt(325).\nAnswer: 10 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709330120.9 + 0.2?\nAnswer: 709330121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - (21 + -27) - -69.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 133. Suppose z = -46 - j. Let m = z + 302. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.4? (a) -86.2 (b) -0.1 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (50 - 47)\/((-1)\/(-5) - 18\/(-45)). Solve 5*p - o - 20 = 0, 23*p - 19*p = 3*o + m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 19. Let r be d(-8). Suppose -5*c = r*s - 430, 4*c + 5*s - 102 = 3*c. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147211 divided by -451?\nAnswer: -4761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 = -109*w + 271 + 1176 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 780999b - -2?\nAnswer: 78099a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(1100) + sqrt(1100)*-4 + sqrt(1100) + sqrt(1100)) + sqrt(4)\/(4*sqrt(2)*-1) + 0.\nAnswer: -7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-2)\/sqrt(11) + (0 + sqrt(8))**2 + sqrt(72) + 1 + 5.\nAnswer: 4*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 1776*w**2 + 197136*w.\nAnswer: 4*w*(w + 222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - 5*2*sqrt(130) - sqrt(130))*-2)\/(6*sqrt(40)\/sqrt(144)))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4289 + 23591. Suppose -84120 = -6*r + t. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 17, f: 1}. Give prob of sequence lllf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-6.3\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 145 = -7*d. Suppose -2*f + 0*b + 5*b + d = 0, f = -5*b + 37. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 13) to base 10\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and 3\/8470.\nAnswer: 25410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 35275086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -621.9324 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 10.9984. What is v rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-248)\/40 - 3*1 and 73\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.16 and -1907133.\nAnswer: -1907133.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7859222, 15718443, 23577664, 31436885, 39296106?\n\"Answer: 7859221*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2 + 354120*v - 4958464 = 0.\nAnswer: -88544, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*q + 3 = 0. Let n be (12\/(-10))\/(q\/(-585)). Let g be 1\/3 + (-42)\/n. What is the smallest value in g, -1\/3, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.43 - 0.5. Let b = 58 + x. Let m be 1\/(3 + (-33)\/6). Sort m, -0.1, b.\nAnswer: m, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 + 7 = 0. Suppose -5 = v - 4. Let s(y) = -15*y - 3. What is the least common multiple of b and s(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, -242.86.\nAnswer: -242.86, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11750.33 kilometers?\nAnswer: 11750330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2. Let s(a) = a**3 + 11*a**2 + a + 13. Let y be (-246)\/22 - 8\/(-44). Let k be s(y). Let x(f) = -15 + 15 + 3*f**k + f**2. Give x(u(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -72230 rounded to the nearest one thousand?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = -22978 - 14093. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3 + 5\/2*y**2 + 0*y + 6. What is the second derivative of g(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-24)*1\/10*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 3. Suppose 14 = -4*g + 2. Let i be t(g). Let w be ((-8)\/28)\/(1 + i). Sort w, -1\/4, -5.\nAnswer: -5, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -68540?\nAnswer: -6853a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -2460, -6314, -11652, -18474, -26780, -36570?\nAnswer: -47844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 3. Let m be v(-3). Suppose 2*i - 2*w - 3 - 15 = m, 3*i - 30 = 4*w. Suppose 29 = t - i. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331844 is divided by 2321?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1460, -12513, -42720, -101657, -198900, -344025?\nAnswer: -546608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5. Let h(l) = -l**2 + l + 20. Let o(a) = 2*h(a) - 9*i(a). Let s(q) = 4*q**2 - 5*q + 11. Let x be 12\/(-14)*((-2205)\/27)\/35. What is x*s(n) + 5*o(n)?\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 55 = 15. Let y(v) = o*v**2 - 7*v**2 + 5*v + 5 - 2. Give y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1255\/33 or -37?\nAnswer: -1255\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + g**4 + g - 3 + 3*g + g**2 - 5*g - 5*g**3 to h*g**4 + u + y*g**2 + c*g**3 + n*g and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 34*v**2 + 168*v - 6. Let r be f(28). Let m(d) be the first derivative of 3*d**2\/2 + 11*d - 6. Let y(x) = -x - 3. What is r*m(b) - 22*y(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 14*k - 672. Suppose -k = 3*c - 11*c. Solve -5*x + 10 = -3*r, 5*x + 2*r = -c - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -65. Let y = -18 + b. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 3*n + n. Let r(f) = 6*f**2. Calculate r(j(h)).\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 140*l**2 + 117*l + 29. Give g(-2).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -54040, 22, -5 in increasing order.\nAnswer: -54040, -114, -5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*b + 146*b = 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-137852)\/(-95436))\/((-52)\/(-30)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-4) + (66\/4)\/11. Suppose -113*n + 108*n = -160. Solve -7 = z*u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199481 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 45, 51, 55, 57?\n\"Answer: -m**2 + 11*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3194*c + 4. Let k be f(-1). Round k to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-85))\/(4\/(-220)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1291 * 1\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115*-17723.91.\nAnswer: 2038249.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -299 * -6.32.\nAnswer: 1889.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 + -1)\/(-1))\/((-24)\/(13 - 109)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9796 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 + -0.0996.\nAnswer: 16.9004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -93*v**3 - 2*v**2 + 7*v. Let o(g) = 46*g**3 + g**2 - 4*g. What is -7*o(x) - 4*y(x)?\nAnswer: 50*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 11*l**3 + 6*l**3 - 3225*l**2 + 508*l - 522*l + 3225*l**2.\nAnswer: l**3 - 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.68 to one dp.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/312*36*18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from xnxxlhhpxxplpxp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081437.\nAnswer: 3, 7, 23, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389*-1.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145*(-81)\/(-135))\/3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:02 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-72))\/(4\/(-18)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 11 + 20*h - 2*h - 24*h. Let s be o(6). Let g(j) = -j**3 + 8*j**2 - 5*j - 7. Let k be g(7). Solve s*v - k*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 2502\nAnswer: -17514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 10.379425.\nAnswer: -10.079425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153189234.\nAnswer: 2, 3, 11, 773683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(66)*-1*6)\/(-2*sqrt(42)\/(sqrt(7) + (sqrt(7) - sqrt(14)\/sqrt(2)))*4).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2864 in 22, 0.2, 1, 4\/15, -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2808262 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.1 (b) 15.9 (c) -7\/4106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2218 = -4*i + 4142. What are the prime factors of i?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose s + 9 = n*s. Suppose -4*o + s*m - 5*m + 56 = 0, 0 = 5*m + 15. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aazzaaazaz. Give prob of picking 3 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsn when three letters picked without replacement from nsnsd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + d - 3. Let y be h(-3). Suppose -13*q = -y*q - 12. What is the greatest common factor of q and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(48)\/sqrt(108) + sqrt(4)) - (-3 + (sqrt(13) + 2)**2*-4).\nAnswer: 67*sqrt(13)\/4 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-232)\/(-87))\/((-2)\/165*40\/(-24)).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 k when four letters picked without replacement from kknknkkkkkknkkkk?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*n + 13, -17*u + 23 = -14*u + 2*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 - 10*i + 16. Let p(v) = -2*v**2 - 2*v + 3. Let r(n) = 2*g(n) - 11*p(n). Let s(d) = 2*d**2 + d - 1. Calculate 3*r(y) - 5*s(y).\nAnswer: 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*g = -3*c + 24, 0 = -3*c - 4*g - 19. Let y be -4*(-4)\/(-8)*c. Let u = -6 + y. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 68. Let t(j) = 14*j - 16. Calculate the remainder when t(p) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = -5*j, -4*j - 8 = 5*n - 8*j. Suppose 3*g + 4*y = -n*g + 33, 4*g + 2*y = 34. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(4*sqrt(8) + sqrt(8)) - (2 + (2*sqrt(5))**2).\nAnswer: -22 + sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {y: 4, x: 1, z: 4, j: 3, v: 2, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805186, 1610320, 2415454, 3220588?\nAnswer: 4025722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*a**2*l*n**2 + a**2 - 3*a*l*n**2*q + 22*a*l*n*q - 2*a*n + 3*a*q + 2*n**2*q wrt n.\nAnswer: -460*a**2*l - 6*a*l*q + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthfztttzqzzhfmfq. Give prob of picking 1 f, 1 m, and 1 t.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 5*f. Let x(l) be the second derivative of l**5\/20 - l**4\/12 + 2*l**3\/3 + 10*l. Calculate -2*b(r) - 3*x(r).\nAnswer: -3*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + 0.2. Let r be 3 - (-4)\/72*-50. What is the nearest to y in r, -5, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y**2 + y - 1. Let m be h(1). Suppose 2*q + m = 3*q. Calculate the highest common factor of 45 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 624\/(3 + 10)*2\/6?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1232254914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v**5 + 13 - 8*v**3 + 0*v**2 + 0*v**4 + 0*v**6 + 0*v + 23\/7*v**7. What is the third derivative of u(o) wrt o?\nAnswer: 2760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/17 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 34 - 0 - (91 + -133)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7113*o**6 - o**5 + 2280*o**3 + o**2 + 154*o - 562210 wrt o.\nAnswer: 853560*o**3 - 60*o**2 + 13680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:48 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 y when three letters picked without replacement from {u: 10, y: 1, d: 5, e: 1, c: 1, t: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*m + 15 = 3*k - 801*m, 0 = 27*k + 2*m - 110 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1555.77? (a) -4 (b) 7 (c) -22 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 5082048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 - -285. Differentiate 130*o**w + 164 - 264*o**2 - o**4 - 2*o + 134*o**2 with respect to o.\nAnswer: -4*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 3*m + 7. Let t be b(4). Let u = -3 + 5. Suppose -t*j + 6 = -3*r, -2*j + u*r = 4*r. Let a(n) = 8*n**3 - n**2. What is a(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from aaadpbaaipibbkipaa.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -6 (c) 16\/9 (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 - (-12 + 7 + 7 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:01 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9897739*u**2 - 1403*u - 14685.\nAnswer: -19795478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 1032392475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) -0.4 (c) 0.1 (d) 0.5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/23401 or -1?\nAnswer: -2\/23401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.152215303 rounded to 4 dps?\nAnswer: -0.1522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + 0 + -6 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 + 37*j**4 - 3*j**2 - 388*j - 38*j**4 + 383*j as c*j**4 + d*j + f*j**3 + v*j**2 + p and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - v + 3*v**2 - 2*v + 4. Let p be m(4). Let y = 40 - 28. What is the highest common factor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Let k(u) = -u**2 + 5*u + 24. Let q be k(0). Solve -5*w = 3*c - q, -2*c + z = -w - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101110101 (base 2) in base 13?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p - 2. Let y = -106 + 107. Let q(s) = -s - 2*s**2 + 2*s**2 + s**3 + 1. Calculate y*d(x) + 2*q(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 10*r + 188 + 16*r - 9*r + 0*r to g + f*r and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 5, h: 2}. What is prob of sequence ntt?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8797?\nAnswer: 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 47 = 5*q, -2*q + 1 = 2*s - 33. Calculate the remainder when 207 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 0 - 6 - 6. Calculate o(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25593.32 nanoseconds to seconds.\nAnswer: 0.00002559332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 27710 = -28*g - 9*g. List the prime factors of g.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 95, 238, 443, 710?\n\"Answer: 31*h**2 - 12*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1558 - 1303 = 0. Calculate the least common multiple of 1020 and x.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6949981742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 4*n + 6. Let b be x(2). Solve 5*p = -b*m - 10, 9 = -m - 5*p - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*d + 90. Suppose -289 = 2*l - 11. Let i = -1249\/9 - l. Put d, -2, i, 3 in decreasing order.\nAnswer: 3, i, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 107*n**2 - 5.\nAnswer: -107*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -189, 4\/717 in increasing order.\nAnswer: -189, 4\/717, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -57*a + 1027. What is the remainder when 226 is divided by o(17)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from mxxmkmkmm.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 1426\/3*q**2 - 1\/3*q**3 - 508369\/3*q + 0 = 0. Calculate q.\nAnswer: 0, 713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -53, -43, -29, -11, 11, 37?\n\"Answer: 2*o**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.3, -2\/5, -3\/4, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6622 = 641*z + 212 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/7 + 13\/28. Let u(f) = 4*f + 22. Let v be u(-6). Let k be 12\/(-28) - 46\/(-42). What is the nearest to d in 1\/12, k, v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3\/43 (c) -0.32 (d) -4 (e) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/11 + 48*l**3\/11 + 16*l**2 - 1344*l\/11 + 1568\/11.\nAnswer: 2*(l - 2)**2*(l + 14)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 688*l**2 - 27412*l - 190104.\nAnswer: -4*(l - 89)**2*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m - 131 = 139. Solve 4*n - 2 = 2*s, m*n - 4*n = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 1, z: 4, g: 2, k: 2, n: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 120522\/47700 + 6\/(-225)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/5*9\/(-216)*-4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 16. Calculate t(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1 - 1 - 5*j - 10 + 7*j**2 - j**3 + 16*j. What are the prime factors of d(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.009717 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34890027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000666665 to 6 dps.\nAnswer: -0.000667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8, -24, -82, -206, -420, -748?\n\"Answer: -4*o**3 + 3*o**2 + 3*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -624095656*f**3 - 5*f + 11017156.\nAnswer: -3744573936*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.4 (c) -26 (d) -156 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-o**2 - 3*o**2 - 2*o**2 + o + (-o + 2*o + o)*(2*o + 0*o - o)) - 42*o + 8*o**2 + 42*o.\nAnswer: 16*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 434200 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/191 + 5172\/955. What is the common denominator of 24\/77 and m?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22620*b**4*t - b**2*t**3 + 153*b*t**3 + b*t**2 + 23*t**3 wrt b?\nAnswer: 271440*b**2*t - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 2916*w**2 - 13620540*w - 10615746400.\nAnswer: (w - 5656)*(w + 1370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 6. Find the common denominator of (-26)\/h - 32\/8 and 62\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/175, -4, 644.\nAnswer: -4, -13\/175, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.57 * -265.\nAnswer: -2536.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180 - 183)\/(0\/1 - 15\/(-115)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-28))\/(-3)*(-8)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 0*o**3 + 8*o + 0 + 0*o**2 - 1\/4*o**5 + 2\/3*o**4. Find the third derivative of m(b) wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 20 = -0*u. Suppose -2*s - 2*s - a = 1, -u*s + 5*a = -5. Let 0*z + s + 2\/3*z**2 - 2\/3*z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2505973442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a**3 + 9*a**2 - 2*a - 2. Let y(n) = -5*n - 9*n**3 + 1 + 3*n**3 + 6*n + 68*n**2 - 72*n**2. Determine 4*k(g) + 9*y(g).\nAnswer: -2*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-1 + 4 + sqrt(187)\/sqrt(275) + 4.\nAnswer: -4*sqrt(17)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3510\/104*(-324)\/(-243).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.9 - -5. Let y = k - 0.1. What is the second smallest value in 0.1, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6994764059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625629 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:00 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55048448 divided by 7228\nAnswer: 7616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -144762 (base 11) to base 6\nAnswer: -4501342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74.8 + -64. Let s = w - 11.17. Let m = s - 8.63. Which is smaller: -3\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 5}. Give prob of sequence hzz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 + -2 - 9. Let i = 21 + k. Let c = 38 - 35. Calculate the remainder when i is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 14 = -3*i - 0, -i - u = -2. Let y(q) = -3*q - 14. Let s be y(9). Let v = -38 - s. Solve d + v = i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1871\/5?\nAnswer: -1871\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 15. Let k(f) = 2*f + 5*f - 8*f + 4*f**2 - d. Let r(l) = -10*l**2 + 2*l + 8. Let p(u) = 12*k(u) + 5*r(u). Find b, given that p(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 830 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from {s: 2, q: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -58?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqge when four letters picked without replacement from {q: 1, g: 2, n: 1, a: 1, m: 1, e: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2013 and -50\/549.\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 53*k**3\/3 + 7*k**2\/2 + 110*k. Differentiate n(h) with respect to h.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6 + (-56)\/252.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10152.8 times 102?\nAnswer: 1035585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2864 and 4016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 4*s, 2*v = 4*v + 2. Suppose -126 = -4*r + 142. Suppose 25 = a + 3*f, s*f - r = -2*a - 21. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 476*b**2 + 51*b. Let i(m) = 19*m**2 + 2*m. Let y(q) = 51*i(q) - 2*x(q). Let n(a) be the first derivative of -14*a**3\/3 - 157700. Calculate y(n(r)).\nAnswer: 3332*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5513928178 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-403)\/(-15) - (-2)\/15. Let v = 49 - l. Solve 4*p = -2 + v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2035*g**3 - 3*g**2 + 0*g**2 - 2081*g**3 + 4*g + 4201*g**3 - 2 to the form s*g**2 + a*g + t + p*g**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828 divided by -1276?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20060, -40116, -60172?\nAnswer: -80228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6393.138ug to tonnes.\nAnswer: 0.000000006393138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*k - 3044 = 0, 3*p - 97 + 2359 = 4*k. Is -759 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59218437 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/5 (b) 27 (c) -3\/4 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11710 divided by -15\nAnswer: -2342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 2\/7 (b) -3\/4 (c) 6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72.318 + -0.182. Let g = w + 1.5. Let z = g - -70.7. Which is smaller: 14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*j + 11 + 1 = 0, 3*c = 5*j + 20. Let d be 1 - (c + -3 + 2). Solve 14 = -d*t - t - 2*g, g + 17 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 69935*q**2 + 6084335*q - 870 = 0.\nAnswer: -87, 2\/13987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/26390 and -41\/1670.\nAnswer: 4407130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d - 12*d**3 - 9*d**2 + 2*d + 21*d**2 wrt d.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - t = -16, -r + t = 4*r - 80. Let a(g) = g**2 + 12 - g**2 - 5*g - g**2. Calculate the lowest common multiple of a(-6) and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 33*y = 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**9\/1008 + o**6\/360 - o**3 - 17. Let k(p) be the third derivative of u(p). What is the third derivative of k(i) wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12938 = -646*j + 641*j, -2*j - 8632 = -2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8273395 is divided by 198.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 495368203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/351*13*1\/3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*q**4 - 2*q**2*u**2 - 2*q*u - 64*u**2 wrt q.\nAnswer: 264*q**2 - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 6. Suppose 0 = 5*x - 2*u - 8 - 5, 2*u = -4*x + r. Suppose -24 = -x*s - s. Is s < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 8*r**2 + 2*r - 3. Let t be x(-9). What is the tens digit of (344\/10)\/(12\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2009.\nAnswer: 3\/2009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -32 + 2. Let p = -5 + q. Is p*2 + (-113)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 11*b**2 - 19*b - 9. Let x be h(-11). Calculate the greatest common factor of x and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011111011111010 (base 2) to base 15\nAnswer: -192dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327, 521, 715, 909?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4237754 to 3 dps.\nAnswer: 1.424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10028911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Suppose f - 3*i = -2*f + 75, -f - i = -15. Suppose 2*j = y + 8, -f = -4*j + 7*y - 4*y. Let u(g) = -21*g**j - 211 + 211. Calculate u(m(d)).\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 13504.24 to the nearest ten.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -5*o + 26, -14*f + 14*f + 5*o = -5*f - 60 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 182 = -73. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177c23 (base 16) to base 15.\nAnswer: 206072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72733 + 94773 = -380*y for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**4 - 14*u**2 - 2\/5*u**5 + 14\/3*u**3 - 2*u - 21. Let w(p) = p**3 - 3*p + 3. Determine 3*b(j) + 28*w(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2 - m + 13. Let r be b(9). Let w be r - (3 + -1)\/(-2). Suppose 4*a = -5*u + 29, 8*a - 4*a - 19 = w*u. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5 = -3*i, -3*p + 2*i = -19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + d = 8, 4*y - 3 = -d - 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38, 48, 62, 86, 126, 188, 278, 402?\n\"Answer: x**3 - 4*x**2 + 15*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {k: 1, m: 6, h: 2, c: 3, l: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 4\/7 (c) 1\/4 (d) -0.1 (e) -0.028 (f) 65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140482 - 140487 - 11*l**2 + 30*l**2.\nAnswer: 19*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = 17065 - 92393. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 726 and 3630?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-33)\/12 - (-342)\/72. Solve -2*g - 7 = -5*s, -13 = 5*s - 4*s - z*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788518.7 minutes in days?\nAnswer: 1242.026875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 65 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862641256?\nAnswer: 2, 151, 714107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 8*o + 16. Let l be b(-8). Solve 6*v - 10*v = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181 + 1181 - 4*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 21 - 6*j**2 - 8*j**2 - 2*j**3 + 33*j**2 - 4*j**2 - 2*j**4 in the form g*j + q*j**3 + p*j**4 + m*j**2 + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66113 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 10802212*a\/7 + 14585973011618\/7.\nAnswer: 2*(a + 2700553)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -61*u + 53*u + 6, 75*u = 79*u - j - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -32. What is the smallest common multiple of s and 13?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356*u**2 - 673940*u - 3976 = 0 for u.\nAnswer: -497, -2\/339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*k - 27 = 0, 2*k + 3*k - 50 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -402 - -404. Solve -10 = -s*z + 2*r, r - 2*r - 17 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5830 - 688. Does 134 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*i**2 - 8*i**2 + 25*i**2 + (2*i**2 - 2 + 2)*(-1 + 2 + 1) + 0*i**2 + 0*i**2 - i**2 to n + s*i + h*i**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(2 + 0)*-1. Suppose 5*v + 3*j - 81 = 0, -4*j - 53 = -4*v - w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18372335\/2 smaller than -9186169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 8*k - 7. Determine g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 6*x + x - 2*x**3 as f*x**2 + a + l*x + v*x**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*g, -91*g + 87*g + 75 = 29*h. Solve d - q = -2, -7*d - h*q = -6*d - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 2*f**3 - f + 719*f**2.\nAnswer: 2*f**3 + 719*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 16 = -h + 23, -36 = -5*n + 3*h. Let o(w) = w - 22. Give o(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.06, 4.1, 2\/5, -0.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67945958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - 0.44. Let v = 192 - 100. Let u = v - 365\/4. Which is the third biggest value? (a) i (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1790*l + 124030 = 472*l - 252*l for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10483*r**2 - 4*r - 7*r**3 - 2 + 10483*r**2 - 2*r to l*r + x + d*r**3 + b*r**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/(t**4*t))**(-20) assuming t is positive.\nAnswer: t**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 111403?\nAnswer: 111403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from tkoqofokooof.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 306 or -4\/9?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 8, -4 in decreasing order.\nAnswer: 8, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q + 2. Determine o(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/11)*u)\/(u**(-18)*u) assuming u is positive.\nAnswer: u**(208\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30331 (base 4) to base 15.\nAnswer: -3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 19*v + 88. Let c be a(-5). Let t(b) = b**3 + 8*b**2 + 9*b - 3. What is t(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**6\/720 + h**5\/120 + h**4\/12 + h. Let l(n) be the third derivative of f(n). Let k(o) = -5*o + 2. What is -k(z) + 3*l(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26679275 - -73222795. Let t = q + -32343520. Round t to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/6 - 1208*u + 773080\/3 = 0. What is u?\nAnswer: 220, 7028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 5. What is the tens digit of 60*1\/(3 + u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/15)\/(2\/20). Is (2\/3)\/(y\/1956) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84378 by 6.\nAnswer: -14063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*i**5*y**2 - 2*i**4*y**2 - 4*i**2*y - 94*y**2 wrt i.\nAnswer: 780*i**2*y**2 - 48*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38470 - 38470.039469. What is t rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmpkkkykpqkpipmmpkm. What is prob of sequence kkmy?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 854, 844, 828, 806, 778?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10137 take away -11008.4?\nAnswer: 11008.50137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/((-1)\/(-2)). Let l = -1251\/28 - -318\/7. Which is the fourth smallest value? (a) s (b) -1 (c) 0.16 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:49 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1))\/(l\/l**(-1\/4))*(l**0\/l)**5 assuming l is positive.\nAnswer: l**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 27. Let j be p(-8). Suppose -j*c + 57 = -24. Solve -2*s + 2 + 16 = 4*z, 5*s = -4*z + c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3107825 < -3107831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 4, u: 1, a: 3, d: 6}. Give prob of picking 2 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2961127 + 3?\nAnswer: -2961124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -79 + 26 + 27 + 60 + (0 - 13)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, x: 5}. Give prob of picking 4 x.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/19, -0.021228, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 102*m\/5 + 104\/5.\nAnswer: -2*(m - 52)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*w**2 + 15*w**2 + 11*w**2 - 4 + 4.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 3*h**2 + h. Let j be (2 + 1)\/((-3)\/3). Calculate m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 527, 1776, 4211, 8228?\nAnswer: 14223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 161*u + 748. Let v be l(35). Solve 5*t + 4*h = 1, 3*t + 10*h - 11*h = -v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-4)\/2 + -2. Suppose -29*k + 31*k = 2, -4*k + 10672 = 4*v. Suppose w = c + v - 337. What is c rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86683364.\nAnswer: 2, 379, 57179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 900*b*g*y**3 + 4*b*g*y**2 + 13*g*y**2 + g - 39*y**3 wrt b.\nAnswer: 900*g*y**3 + 4*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:41 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(133) + sqrt(133))*3)\/(sqrt(42)\/(sqrt(162)\/sqrt(3))).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/6)\/(j*j**(-1))*(j**(-4)\/j)\/(j**1\/j)*(j*j**(-1\/6)\/j)\/(j\/j**1)*(j\/j**(-4\/3))\/((j**(-1)*j)\/j*j) assuming j is positive.\nAnswer: j**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -90*s. Factor 2\/3*j**2 - 4\/3*j + s.\nAnswer: 2*j*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -140*a + 119. Let x(m) = 7*m - 6. Let j(s) = 6*v(s) + 119*x(s). Let l = -41 - -25. Let n = 27 + l. Let b(h) = 13*h. What is n*j(k) + 6*b(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4)*(-22)\/33 + 31 + 27?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4528063 litres to millilitres.\nAnswer: 452.8063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153785?\nAnswer: 5, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107961 is divided by 312.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbw when three letters picked without replacement from {w: 1, x: 1, d: 1, b: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1900) + -4*(sqrt(1900) - (-1*sqrt(1900) + sqrt(1900))) + -1)*6)**2)*4.\nAnswer: 8640*sqrt(19) + 2462556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63036 and 3252168.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 25*q + 179. Calculate the remainder when g(7) is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343 + 390. Suppose -y = -2*t + 7*t - g, 31 = 4*t + 3*y. Solve t*m**4 + 138\/5*m**2 + 8\/5 - 28*m**3 - 56\/5*m = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 62*t = -1764. What is the lowest common multiple of t and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8002857 is divided by 8002841?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -96360*-20*6\/(-6). Round d to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -161, -360, -639, -998, -1437, -1956?\n\"Answer: -40*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6 - 862\/(-12))*3. Find the second derivative of 5*b + 174*b**4 - u*b**4 + 3 - b wrt b.\nAnswer: -480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4545? (a) 4 (b) -0.064 (c) 5 (d) -2 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -3)*(-10)\/6. Suppose -g - 16 = 4*h, -5*g + 2*h - 1 = -9. Suppose 4*o = -g*o. Solve o = k*v - 0 + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -812*z + 251*z**2 - 251*z**2 + 1795*z**4 - 531*z wrt z?\nAnswer: 21540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -537\/440, -1, 2, -2, -0.7, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10*27\/(-11250))\/((-40)\/(-100))*(-20)\/24\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73.5 - -14.5. Let c = 0.265 + 58.235. Let q = x + c. Which is bigger: q or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 7, 0.5, -2\/11, -0.055?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 4.99?\nAnswer: -0.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146752 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p - 58*p - 8 = -3*h, 0 = h - 3*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21038023 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9209\/7 - -1315. Which is the third smallest value? (a) l (b) 0.4 (c) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 2*l**4 - 3*l**2 + l**2 - 3 - l + 7*l**2 - 2*l**2 as p*l**4 + m*l**3 + s + x*l + a*l**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -957, -1409, -2343, -3933?\nAnswer: -6353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - 1) + 2675 + -2572?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327855.\nAnswer: 3, 5, 11, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 2, n: 1, t: 1}. Give prob of picking 1 u and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -16, -26, -40, -58, -80, -106?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(605) + (-2*sqrt(605) - sqrt(605)) + sqrt(605) + sqrt(605))*2 + sqrt(605) + sqrt(605) + sqrt(605) + 1 + sqrt(605) + sqrt(605) + 3)*2)**2.\nAnswer: 28160*sqrt(5) + 969024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14 - 16 + 2 + 179*b. Let j(k) = -2*k. Calculate j(z(g)).\nAnswer: -358*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/187*4\/(-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -62\/33 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 + 29*m + 759\/2 = 0. Calculate m.\nAnswer: -11, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {k: 10, c: 1, s: 8}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5656 - 5610 - 3216\/70.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12505909?\nAnswer: 13, 961993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/a)\/((a**(1\/8)\/a)\/a)*(a**(-3\/2)*a)\/a*(a**(-1\/2)\/a)\/a assuming a is positive.\nAnswer: a**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -13*n**5\/5 - 22*n - 17. Find the first derivative of f(a) wrt a.\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 5:22 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8, v + 4*v + 242 = w. Let k = 443 - w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66076156579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -46*f - 17. Calculate c(1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let z(v) = -3*v**3 - v**2. Let b = 5 - 6. What is b*z(d) - 3*r(d)?\nAnswer: 3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/120)\/(27\/(-36))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iciicii. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40359)\/2446*((-136)\/132 - (-2)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9604, 2303\/2 in descending order.\nAnswer: 2303\/2, 2, -9604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -56536 - 65184?\nAnswer: -121720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*s - 530*s + 1902*s + 4865*s.\nAnswer: 5623*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*d**2 - 30*d + 30*d to the form l*d + w + y*d**2 and give y.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 937, 1511?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*z**3 - 381112*z**2 + 23142495*z?\nAnswer: -324*z - 762224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/4 + 2218*j**3\/3 + 2316*j**2 + 465. Find the second derivative of i(g) wrt g.\nAnswer: 6*g + 4436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -11c2?\nAnswer: -11c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:33 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/17 (b) -8 (c) 1.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.634 - -5.5. Let q = a - -0.0865. What is q rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18385, 36773, 55161, 73549, 91937, 110325?\nAnswer: 128713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/4 in 0, 3\/4, -0.15, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 15.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -568, -861, -1172, -1507, -1872, -2273?\nAnswer: -2716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87041265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/47 and -3*10\/36*((-40)\/(-47))\/(-8)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((18 - 25 - 24)*(4 - 2 - 3) + 3 + 2 - 6 + (1 + 0 + 1)*(-1 + 0 + 0) - 2 + 2 - 1)*((-4 + 1 + 4)*(0*s - s - s) + 4 - 4 - s - 3*s + s + 3*s).\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)*s**(-1\/8)\/s)**(2\/31))**(1\/25) assuming s is positive.\nAnswer: s**(-1\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2*s**2 + 269*s + 809. Give h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.39 - 0.39. Let r = n - 6. Let s = -1.1 - 0.9. Put -0.5, s, r in increasing order.\nAnswer: s, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 18*j**3 - 2*j**2 - 3*j - 5. Suppose -11*l + 30 = -l. Is h(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.310514 * 0.13.\nAnswer: -1.34036682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -2*q**7\/21 + 7*q**4\/12 - 2*q. What is the third derivative of k(n) wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 10 - 23) + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 10*t**2 + t - 11. Give u(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4727 is divided by 168?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-q**2 - q**2 + 4*q**2 + (-q - 4 + 4)*(4*q + q - 4*q) - 2 + 2 - 3*q**2).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86, -153, -202, -227, -222?\n\"Answer: d**3 + 3*d**2 - 83*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62641307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (26 - (-14 - (-12 + -15))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - 3a8a?\nAnswer: -3a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 13715*h - 8454829. Determine p(591).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 8*p**2 + 12*p + 12. Let g be n(8). Let f = -99 + g. Solve 3*i + f = 3*w, i - 2*w - 12 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5.4. Let h = g - 4.6. Let s = -0.3 - -0.3. Is s greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 4*w + 50 = o, w = 2*o + 7. Let t = 5 - -1. Calculate the least common multiple of 45\/(-6)*8\/o and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9))**3\/(a**(-2\/21)*a*a\/a**(3\/4))*(a*a**(1\/2)*a)**(-22)*(a**(-2\/7)*a)**(-10\/3) assuming a is positive.\nAnswer: a**(-4861\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**5\/20 + l**2\/2 + 3*l. Let n be q(1). Suppose -10 + n = -j. Calculate the lowest common multiple of 6 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 5*p + 334 - 352, 2*a - 2*p = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -16 + 13. Suppose 79 - 10 = k*c. What is the highest common factor of c and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -1806, -2723, -3656, -4611, -5594?\nAnswer: -6611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 2*n**2 - 1. Give t(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 325*w\/3 - 70.\nAnswer: -5*(w + 21)*(3*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1325780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -101. Suppose 2*i = -4*a + 2*a + t, 4*i = -3*a + 64. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 9 - (-5 + 4). Let q(d) = -5*d**4 + 8*d**3 - 10*d**2 + 3. Let y(b) = 11*b**4 - 17*b**3 + 21*b**2 + b - 7. Let m(k) = h*q(k) - 4*y(k). Factor m(l).\nAnswer: (l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-26) + (-4)\/(-26). Let o = 0 - x. Suppose -2*l + 4 = o, -5*c + 0*l - 30 = -5*l. Let s(t) = -t**3 - 5*t**2 - 5*t - 5. What is s(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/(84\/(-36)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16 = 6. Let j be (l + 4)\/(3\/12). Let u = -1 - -1. Put u, j, 4 in decreasing order.\nAnswer: 4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzi when four letters picked without replacement from {z: 11, i: 3, h: 1}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1137, -2510, -3881, -5250, -6617, -7982?\nAnswer: -9345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 344 + -341. Which is the second smallest value? (a) -3 (b) -0.3 (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 21 = b, 4*z + 3*b = -0*b + 13. Suppose -2 = -z*d - 22. Let m = d - -14. What is the remainder when 17 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -2, 5 in descending order.\nAnswer: 5, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -247\/2*s - 1\/2*s**2 + 124 = 0. Calculate s.\nAnswer: -248, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001773389941 rounded to seven decimal places?\nAnswer: 0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 19\/2, -5, -2, -42\/11 in decreasing order.\nAnswer: 19\/2, 4\/5, -2, -42\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 154277*t\/4 - 1002885\/2.\nAnswer: (t - 13)*(t + 154290)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1289 = -2*c, c - 7*r = -2*r + 649. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11698.7 - -11246.785. Let x = m + 451. Let b = -0.542 - x. Round b to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.04 + -0.04. Let l be (-4)\/(-14) - 37\/56. Let o = -347\/5 - -69. Which is the third biggest value? (a) m (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/24 and 151\/19980588?\nAnswer: 39961176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:49 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13632832 is divided by 717517.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581264.\nAnswer: 2, 3, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1521?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2. Let c(b) = -2*b**2 - 6*b. Let o(x) = 25*x**2 + 2*x - x - 24*x**2. Let u(z) = c(z) + 6*o(z). Calculate d(u(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 33*t**2 + 49*t - 747. Give j(-35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 860*q**3 + 647136*q + 3*q**2 - 647136*q as g*q**3 + r*q + m*q**2 + h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 219*w**2 - 11166*w - 150. Calculate c(51).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1902672 and 77\/713502.\nAnswer: 5708016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000876 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 106. Let s be -16 + ((-10)\/(-12) - 5\/(-30)). Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 + (6 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3232 and 19\/2483792?\nAnswer: 4967584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:00 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10e6a (base 15) to base 7.\nAnswer: 313033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**4\/4 - 2*f**3\/3 - f**2 - 3*f - 2. Suppose 8*w + 48 = -32. Let b(y) = -y - 13. Let j be b(w). Calculate r(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3 + 105*x**2 - 735*x + 1715 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17))*-3 - (3 + sqrt(425) + sqrt(425)).\nAnswer: -13*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -2\/7 (b) 5 (c) -4\/3 (d) 13\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * -8.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 420366d?\nAnswer: 4203668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 17*y - 2 + 5*y**2 + 2*y**3 + 16*y - 4*y**2 as b*y**3 + s + x*y**2 + f*y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337a (base 11) in base 2?\nAnswer: 1000001110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2472, -4936, -7400, -9870, -12352, -14852, -17376, -19930?\nAnswer: -22520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - 0. Let x(u) = u**2 + 10*u + 12. Let m be x(d). Let o = -0.5 - -3.5. Which is the biggest value? (a) m (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4 + 1\/4*z**2 - z.\nAnswer: (z - 5)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to -207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 133716?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71344 or 8\/19?\nAnswer: -71344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = -2*a + 150, 4*a + 5*p - 272 = 0. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73707 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 h when three letters picked without replacement from ocoyyocoohoccohco.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 684 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {c: 5, v: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89007\/10 + 8909. Calculate the common denominator of 8\/(-6)*(-35)\/6 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((90\/(-3504))\/(350\/(-280)))\/((-9)\/6)?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1135380 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50352 (base 7) in base 3?\nAnswer: 121201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 78 + 63. Suppose -3*a - 3*l = -l - 6, 2*a - 4 = o*l. What is the remainder when 36 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15954*i**2 + 29*i + 33*i + 29*i - 92*i.\nAnswer: -15954*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 14*u - 41. Let h be s(18). Let v = -28 + h. Solve -v*j = j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*c. Suppose c*q = 5*q - 4*q. Sort 6, 1, q in decreasing order.\nAnswer: 6, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 7 + -11 - (-5 + 3 - -10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -1\/5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m - 86. Let x(g) = -34*g. Let r(t) = -57*t. Let p(a) = -3*r(a) + 5*x(a). Calculate p(k(s)).\nAnswer: -4*s - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 10*j + 11. List the prime factors of h(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/18 and 47*((-1)\/2)\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 27*k**3 + 10 - 9 as w*k + b*k**2 + x*k**3 + c and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -285, -279, -271, -261?\n\"Answer: d**2 + 3*d - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 291 - 284. Determine v, given that v**2 + s*v**2 + 49*v + 16 - 13*v = 0.\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.275 minus -257.17?\nAnswer: 258.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 5*w**2 + 3*w + 1. Let k be s(5). Suppose 0 = -0*g - 4*g + 5*y + 20, 0 = -4*g - 4*y - k. Let d = -8 + 6. Sort 4, g, d in increasing order.\nAnswer: d, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17595333 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 19*j - 103. Let s be r(6). Suppose 4*b + 5*z - 718 = 0, -5*b + s*z - 6*z = -920. List the prime factors of b.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263.9799 - -264. What is z rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/10*(-2)\/(-8)*(-27525)\/734.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 134. Let p(a) = -a**3 + 8*a**2 - 7*a - 1. Suppose j - 5 = -2*u, 2*j = 3*j - 4*u - 11. Let m be p(j). Which is greater: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Let k be (1 - l)*(-1 - -6). Let z be (2\/6)\/((-2)\/(-6)). Sort k, z, -2 in increasing order.\nAnswer: -2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 27, 51, 95, 165, 267?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -610, 0, 2 in descending order.\nAnswer: 2, 4\/7, 0, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 3*z**2 + 6*z - 4. Let y be x(4). Solve -i + 8 = -3*t - 5*i, -4*i - 12 = y*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-51)\/(-102) - (-6)\/4) + -1. Sort 2, k, -200.\nAnswer: -200, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*u + 12*u + 19*u - 163*u**3 - 100*u + 13*u + 184*u**3.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**20*d)\/d**(7\/10))**(26\/9) assuming d is positive.\nAnswer: d**(2639\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/31517 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2 - 2*r + 5. Let l be k(0). Solve 0 = 5*g - 2*s + 5*s + 17, 0 = l*s - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 - (6 + -11 - -11))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1157253 to the nearest 1000.\nAnswer: 1157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from ccojx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*(-2 - -14). Suppose 0 = -3*i - 18. What are the prime factors of ((-8)\/b)\/(i\/(-63))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 7)*(3 - 4). Let z(v) = 2*v**3 - 15*v**2 + 18*v + 16. Calculate the remainder when 44 is divided by z(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1672952\/21633 + (0 - 78).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -1 (b) -3\/4 (c) 2 (d) -13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42 and -40819.\nAnswer: 1714398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15*n**2 - 9*n + 7. Let f = 9360 + -9371. Let b(o) = 8*o**2 - 5*o + 4. Determine f*b(d) + 6*x(d).\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, n: 1, a: 1, b: 1}. What is prob of sequence by?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 121121961 = 121121961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a - a**2 + 862 - 2*a - 860. Let b(v) = v**2 - 7*v - 2. Give 6*b(r) + 5*g(r).\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -634*w**2 + w. Let t be o(-1). Let q = t - -923. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) 5\/2 (c) -260481 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 71 + -54 + 17 + 38 + 2 + 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l**3 - 50*l**2 + 2*l + 68. What are the prime factors of d(-10)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**2)**(8\/15))**(-1\/11) assuming b is positive.\nAnswer: b**(8\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -525 + 530. Suppose 0 = -4*p - 4*r + 1804, -p = -q*r - 281 - 152. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 16*z**2 + 9*z + 59. Calculate u(17).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3028*j = 2957*j - 213 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w**4\/3 + 8605*w**3\/6 + 254365*w**2\/2 - 918195*w + 616500 = 0. Calculate w.\nAnswer: -300, -137, 3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/20 - (-113)\/20. Is b less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9\/5))**(2\/55) assuming u is positive.\nAnswer: u**(-18\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665 = 117*b - 22*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200665271 - -200578217.753. Let y = w + 86778. Let a = 275 + y. What is a rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*p + 27. Calculate the lowest common multiple of 96 and p.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**2 - 84388710*u + 84388715 = 0?\nAnswer: -16877743, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 13*l - 1. Let d(m) = 5*m**2 + 30*m + 2. Let z(h) = -3*d(h) - 7*q(h). Let r(b) = 7*b + 7. Give r(a) - 7*z(a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*o**4 + 4\/3*o**2 + 0 - 3\/2*o**3 + 0*o = 0. Calculate o.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5215 - 8753. Calculate the greatest common divisor of r and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 + 66 - 66 in the form y + a*d**2 + g*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3006, 3020, 3042, 3072, 3110, 3156?\n\"Answer: 4*z**2 + 2*z + 3000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282.9932 + -0.0068. Let v = 282.999272 + x. Round v to 5 decimal places.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -28 + 4. Let m(y) = -13*y**3. Let g be m(1). Let x = g + w. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3668 by -917.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 14) to base 2\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 42. Determine t(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*a + 138*a = -2*j + 31, -5*a + j = -22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, e: 7}. What is prob of picking 3 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713532*d + 25*d**3 - 713532*d + 2*d**2.\nAnswer: 25*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1*(-99)\/(-63).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 20*i**3 - i + 9*i - 21*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 + 2*p + 0*p**2 - 2*p**2 + p**3 + 2. Suppose 4*v - 37 = 2*j - j, 0 = v + 3*j + 7. Let z = 10 - v. Give r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -44*j - 29. What is p(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86.6 - -179.7. Let b = j - 93. What is the nearest to 1 in 23, b, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u**3 - 6*u**2 + 4*u + 1. Let p(n) = -n**3 - 2*n**2 + n + 1. What is -i(w) + p(w)?\nAnswer: 11*w**3 + 4*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42677 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -2 + sqrt(180) + sqrt(180))*-3*-2*1.\nAnswer: -12 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Let w be (-368)\/(-312) - 4\/3. Let n = 8 + -3. What is the closest to 1 in w, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 424 + 444. Let u(w) = -w**2 - 7*w - 7. Determine u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*x = 2*y - 74, 4*x = -4. Let m be (16\/y)\/(2\/6). Suppose 3*z = -0*z + 3. Sort m, z, -15 in decreasing order.\nAnswer: z, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -32*w + 67. Let o be z(2). Suppose 44 = o*h - 3*p - 10, 5*h = 4*p + 88. Sort 0, h, 5 in increasing order.\nAnswer: 0, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -64. What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a century?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 803306, -1\/3, 0.56 in decreasing order.\nAnswer: 803306, 0.56, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140529 is divided by 138772.\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmekskkmjekjnjn. Give prob of sequence mnk.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6 + 9. Let l = 7 + -7. Suppose f*u - 70 = -3*p - l*u, 3*u + 12 = 0. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -u - 54. Let m be (u - (0 + 1)) + -4. Let h be (m\/3)\/(1\/3). Solve -z + i + 3 = 0, 30 = -h*z - 4*i + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8773, 9694, 10635, 11602, 12601, 13638, 14719, 15850?\nAnswer: 17037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 23359*c + 23361*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f - 83 = -5413. What is the remainder when 348 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d + 3\/20*d**6 + 1\/336*d**8 + 0*d**3 - 97*d**2 + 0 - 1\/30*d**7 - 1\/3*d**5 + 1\/3*d**4. Factor g(u).\nAnswer: u*(u - 2)**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221582908.\nAnswer: 2, 55395727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*m**4 - 1572*m**3 + 3542*m**2 - 2424*m + 440 = 0. Calculate m.\nAnswer: 2\/7, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(1\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 151*y + 2132. What is a(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -17. Let z be ((-20)\/f - -1) + -4. Suppose 3*h = -6 + 3. What is the second smallest value in 0.5, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/280 and 47\/1226.\nAnswer: 171640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4677002, -4677015, -4677038, -4677071?\nAnswer: -4677114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30492.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n - 68. What is r(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 251459*s + 1508774. Calculate r(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86840666 divided by -22?\nAnswer: -3947303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41\/56 + -6\/7. Which is the nearest to 2\/7? (a) u (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52157972*x**3 + 43170612*x**2 wrt x?\nAnswer: -312947832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 50148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(112))**2*6.\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.1, 1\/6, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 - 40\/18. Let r be -3 - (-12 + 2 - h). Are r and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 3*l**4 + 3*l**4)*(3 - 6 + 2) + 25*l**2 - 56*l**2 - 4*l**4 + 22*l**2.\nAnswer: -5*l**4 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 6}. What is prob of sequence qkq?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:31 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3806 + 64546.\nAnswer: 60740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121388*g*k**3*x + 91*g*k*p**3*x - 3306*k**3*x - 6*k**3 + 2*k**2*p**3*x + 4*k*p**3 + 2*p**3*x wrt g?\nAnswer: -121388*k**3*x + 91*k*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u - 338 + 115 + 115 + u**2 + 10*u + 110 - 7*u. Let n be 2\/((8\/22)\/(-2)). Determine z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10*s**2 + s + 1. Suppose -4*h - 5*z = -9 + 22, z = -2*h + 1. Suppose -2*g = -1 + h. List the prime factors of p(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -72 - (1 + 0)\/((-11)\/11). Let h = 125 + z. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let c(o) = o**2 + 10*o. Let k(r) = r**2 + 11*r. Let q(d) = 6*c(d) - 5*k(d). Let h(i) = -10*p(i) + 2*q(i). Let f(y) = 29*y - 3. Calculate f(h(v)).\nAnswer: 58*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) -0.5 (c) 0.03 (d) -2\/7 (e) -1\/1554 (f) 0.3 (g) 0.162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 325990543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7118*a**3 - 30290 wrt a.\nAnswer: 21354*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*t + 40, -3*u + 2*t + 55 = -0. Let p(i) = u*i**2 + 11*i**2 - 23*i**2. Let n(z) = -6*z. What is p(n(f))?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-4) + (-1)\/4. Suppose v = -3*j + 19, 0*j - s*j = -4*v - 52. Solve -3*m = j + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(121)\/(sqrt(11)*-2*-4) - (-1*(sqrt(891) - (sqrt(891) - (sqrt(891) + 1))**2 - sqrt(11)) + -1))*1.\nAnswer: 30 + 195*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -11. Let a be (-3 - h)*1 - -2. Solve a*j - 5*j + 35 = 2*y, -5*y + 30 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 - 6*b + 8. Let r(v) = -3*v**2 - v + 21. Let u(f) = 8*f**2 + 2*f - 52. Let m(y) = 5*r(y) + 2*u(y). What is a(t) - 6*m(t)?\nAnswer: 4*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69\/2 of a year?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12983 - -13000. What is the smallest value in 0.2, 2\/13, f, -1.3, -2\/5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326290 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67828410?\nAnswer: 2, 3, 5, 13, 57973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/5, 4, -4, -26, -5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) 3 (c) 3\/148 (d) 0 (e) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1) + 2\/(-5). Let m = -0.28 - -7.48. Let w = m - 8.2. Is w at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - (-7)\/(-2). Let k = 12 + -9. Which is the biggest value? (a) 4 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34224, -68349, -102472, -136593, -170712?\n\"Answer: n**2 - 34128*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-13\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 102?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 810771799 divided by 2?\nAnswer: 810771799\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-2\/87)\/(n*n**(-1\/4)*n*n)**(-5))**(2\/35) assuming n is positive.\nAnswer: n**(4801\/6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:26 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 81728746.35 to the nearest one million.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1211356 = -5*a - 4711356, -2*o + 1400000 = -5*a. Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 + 1912\/11. Which is the second smallest value? (a) 1\/19 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334463761 + -1744?\nAnswer: 1334462017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzjzzjjzjzzjj. What is prob of sequence jzz?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 0, -5*l + 9*m - 10 = 4*m. Let p be l\/(-6) - (3 - (-4)\/3). Let b = -205\/74 + 10\/37. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 16, -0.2, 0.4, -0.1, 1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -11*h**4\/4 - 3*h**3 + 232*h**2 - 84*h + 2951. Suppose r(i) = 0. What is i?\nAnswer: -7, 2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -366.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59823.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 7. Let f = -29 - -59. Suppose f = 5*k - 0. Let s(b) = 22 - 11 - 12. Calculate k*s(h) + z(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16029, 16826, 17625, 18426, 19229?\nAnswer: 20034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - i**2 - 69*i + 459. What is the ten thousands digit of h(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 101 = -2*x - 79, -4*x + 672 = 4*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4463, -2, 0 in ascending order.\nAnswer: -4463, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (108\/60 - 2)\/((-1)\/(-3)). What is the fourth biggest value in w, -0.3, 3\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -129?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-77 + 70 - (-2 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5423 - -0.46\nAnswer: -5422.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 - (-204 + 99 + 12).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - l)*(2*l**2 - 4*l**2 - 2*l**2)*(-3*l + 3*l - 2*l) + 0*l**4 - 2*l**4 + 4*l**4.\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001946489996 rounded to six dps?\nAnswer: 0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 285 = -3*a + 33, 0 = 2*l + 4*a - 138. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44695633 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*u - 8 = 0, 3*f + 6 = u - 5*u. Let x = -2 + 5. Let b = f + x. What is the remainder when 1 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6 + -121.\nAnswer: -124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(99))\/sqrt(9) + -1.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -11110313?\nAnswer: -11110302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268931192.\nAnswer: 2, 33616399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 22. Let n be (-2 + 2)\/(-7 - k). Does 10 divide -4 + 24 + n\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303475661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-5*t**2 + 5*t**2 - 3*t**3).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 2.2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, 978, -6 in increasing order.\nAnswer: -6, -5, -2, 0, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 85545.35 decades in years?\nAnswer: 855453.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*3\/12*10992788\/38707\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**4 - 59*q**3 - 1450*q - 1.\nAnswer: -12*q**2 - 354*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a kilogram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/60*9)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332737951.\nAnswer: 7, 13, 239, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1697 + 4251 = 2*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28984?\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-12) + (1 - 16375\/(-30)). Let o = -475 + a. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:42 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/810 and 7\/900.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36873.07ng in milligrams?\nAnswer: 0.03687307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**2 - 29*n - 913. What is t(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-6) + 3 - -8*2. What is the third derivative of 12*u**2 + q*u**3 + 27*u**2 + 20*u**3 wrt u?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -37\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/20 and ((-44)\/66)\/(-2*56\/402).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/228 + 901\/2014\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/5 (b) 3\/13 (c) -4 (d) 3\/5387\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 3*p + 4. What is f(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 853487 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826366 is divided by 2502.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 100596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -4199\/30. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, -196, -4.\nAnswer: -196, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12523 + 350599\/28. What is the common denominator of -23\/28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -202?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -791 - -1583\/2. What is the biggest value in 44, -0.24, 5, l?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 235*s**2 - 5*s - 1. Let y(z) = -119*z**2 + 2*z. Give -2*o(l) - 5*y(l).\nAnswer: 125*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((4*((1*sqrt(612) + sqrt(612))*4 - sqrt(612))*-5)**2 - (5 + (sqrt(612) - -1*sqrt(612))**2*-2*-6)).\nAnswer: 11965816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -8*j - 50. Let t(g) = -3*g - 5. Give t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/3))\/p)**(7\/3)\/(p**(-2\/15)*p*p\/p**(-2)) assuming p is positive.\nAnswer: p**(-139\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5) + 4 + -1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.87 - 1.17. Let u = 105 - 943\/9. Which is the smallest value? (a) k (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + 18*n + 6*n - 14*n**3.\nAnswer: -6*n**3 + 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/612 and 41\/297296.\nAnswer: 2675664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 1087. Let q(s) = -6*s + 1096. Calculate 4*p(n) - 3*q(n).\nAnswer: 2*n + 1060","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 1131*t - 996*t + 0 + (-5 + 2 + 4)*(-2*t - 1 + 1).\nAnswer: 133*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1 + 3*m + 2*m - 3*m + 1. List the prime factors of w(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 150*y - 145*y + 6, 1 = b - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u + 52. Let n be (2 + (-13)\/5)\/((-43)\/(-215)). Let t be a(n). Solve t*o + 4 = -16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**2*x**6 + 2*u**2*x**2 + u**2*x - 24*x**6 - 204*x**2 wrt x?\nAnswer: 360*u**2*x**3 - 2880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 2 l when four letters picked without replacement from {l: 8, f: 1, r: 2, m: 4}?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-28)\/16)\/((25\/(-180))\/1).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 20. Let f = -15 - h. Let z = f - 0. Calculate the remainder when 28 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 544*w. Let n(i) = -10*i**2 - 16472*i. Determine c(n(x)).\nAnswer: -5440*x**2 - 8960768*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397217595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:14 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.053, -7, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 113575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m = 66*m + 238*m - 18041 + 1266 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/72 and 143\/23964?\nAnswer: 143784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1967*c + 191. List the prime factors of l(-10).\nAnswer: 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.0399, 5, -17 in descending order.\nAnswer: 5, -0.0399, -3\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1292312*o**3 - 40977*o + 4 wrt o.\nAnswer: -7753872*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -443 - 1253.315402.\nAnswer: -1696.315402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 1 m when three letters picked without replacement from rrrjrrmmrjmr?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547 (base 15) to base 16.\nAnswer: -4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 108. Let d(l) = t*l + 8868*l**3 + 21*l**2 - 30*l - 7 - 3 - 32*l. Let v be d(10). What is v rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*6\/(-8)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*j + 1. Suppose 5*o + 4 = 14. Sort o, -5, j in descending order.\nAnswer: o, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**2. Suppose -4 = h - 20. Let b be (-2)\/(-2) - (-48)\/h. Let t(f) = -11*f + 10*f + b*f. What is t(j(r))?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1189188 divided by -4158?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 1720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 1680 = 510. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -130. Let r = u - 94. Let q = r - -30.00000112. What is q rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/24)\/(-4))\/(-3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 249638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - m + 705949 = 0, -4*b + 0*m + 5*m - 941280 = 0. Let p = -435315 - b. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -307\/574 - 3\/82. Let f = 34191\/20 - 1715. Let w = 21\/4 + f. What is the second smallest value in 0, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 8567*a.\nAnswer: 8567*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133.\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 7*l**2 - 4*l + 4. Let k = 10 + -4. Let c(b) = 5*b + 6. What is the lowest common multiple of v(k) and c(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*n = 24, 2*k + 5*n - n + 10 = 0. Suppose 2*o + k*d = 7, -4*o + 2*o + 13 = -3*d. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 - 22*y**2 - y - 4. Let x(b) = -4*b**3 + 24*b**2 + b + 3. Let k(w) = 5*l(w) + 4*x(w). Calculate k(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 110 = -j. Calculate the smallest common multiple of 6 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -45. Suppose -2*b - g + 30 = -2*g, 5*b - f*g = 75. What is the tens digit of (1 - (-118)\/(-10))*b\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -17*a**3 - 21*a**2 + 5*a + 128. Determine j(-5).\nAnswer: 1703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.055 - 1.04727. Round t to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.061003 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -483, -534, -585?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 + n + 1. Determine w(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 38*f + 598. Calculate s(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/5))\/n*n**(1\/5)*(n*n**3)\/(n*n\/(n\/(n*(n**1*n)\/n))))**(-2\/19) assuming n is positive.\nAnswer: n**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -9 + 0 - (-2 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5 - 7 - 3*u**2 + 4 - 4*u. Let v(a) = -8*a**2 - 11*a - 23. Let q be (-343)\/(-21) + 370\/555. Calculate q*i(o) - 6*v(o).\nAnswer: -3*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 275 + -270. Suppose 5*b = -3*o + 12886, -4*o + 12880 = v*b + o. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2. Let c be n(2). Suppose -c*b = -17*b. Suppose -2*s + 6*s - 20 = b. Solve 5*z = 3*m, 2*m - 10 = s*z - 3*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/12 - -1\/12. What is the closest to 4 in 2, -0.3, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -34. Let i(s) = -2*s**2 + 16*s - 1. Let d be i(8). Let c(m) = -15*m**3 + 2*m**2 - 1. Let j be c(d). Solve o*l - j = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 1)\/((-2)\/2). Suppose -8 = k*p - 4*p. Suppose -6 = -p*d - 2. Is d < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7 = p, 7*p - 2*s + 1 = 6*p. Solve 4*f + v = p*f - 1, 0 = -3*f - 5*v - 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3\/2 + t**2 + 914*t. Determine f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 3 + 3)*(3 + 2*i - 3) + 2*i**4 - 3*i**4 + 2*i**4 + 35*i**4 + 4*i**3 - 19*i**4 - 78*i**4.\nAnswer: -65*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w + 83. Determine z(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94654119 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -890885 divided by 178177\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77400 rounded to the nearest 1000?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/25 in -4\/3, -12\/5, -453, -9, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -64289382 from -13.9.\nAnswer: 64289368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 602 - 202*h + 507 - 231*h + 308 + 438*h to q*h + y and give y.\nAnswer: 1417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84720 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f + 24. Let l be f\/42 - 13\/(-21). Which is the nearest to -1\/3? (a) l (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -840*y**2. Let g(u) = 208751*u. What is v(g(d))?\nAnswer: -36604663200840*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 6*j + 12. Let y be h(8). Let a = -16 + 9. Let o = y - a. Solve -2*v + 3*l = 16, 4*v - v + o*l - 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9 + 25*u - 3 + 18 - 3*u**2 - 2 - 27*u. Let s(h) = -4*h**2 - h + 4. Give -4*s(a) + 3*w(a).\nAnswer: 7*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60063713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 3*z - 14*z + 5*z - 2*z**4 - 2*z**3 as x + d*z**4 + p*z**2 + f*z**3 + w*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 2*l. Calculate f(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -229, -226, -223, -220?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943631417 a multiple of 18153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63\/541 + -7549\/74117. What is the closest to z in 2, 1.9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1098711 + 567*i**2 - 1098711)*(-1 + 1 - 2*i) + 0 + 0 - 2*i**3 to the form z*i + d + s*i**2 + k*i**3 and give k.\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37252 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 7*r - 6. Let o = 92 - 62. Calculate the smallest common multiple of d(5) and 3 + (-30)\/9*(-36)\/o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 + 146 = 0. Suppose 7*w - 2459 = q. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515053879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 15, h: 3, l: 2}. What is prob of picking 1 a and 1 h?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2415 + -2771797\nAnswer: -2774212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -938390?\nAnswer: 93838a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53861 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(968)*2)\/(-5*sqrt(48)\/(sqrt(108) - (sqrt(108) + -1*sqrt(108) + sqrt(108) - sqrt(108)))).\nAnswer: -264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Let y(v) be the first derivative of 2*v**2 + 7. Calculate x(y(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/46 - -43\/138. Put -6, b, 1\/10, 1\/7 in ascending order.\nAnswer: -6, 1\/10, 1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1464)\/(-4880)*(4\/(-3))\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 7. Let p(d) = d**3 - 11*d**2 - 12*d + 5. Calculate the lowest common multiple of p(12) and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most 34\/13461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6 = 4*o, 28*u = 27*u + 3*o + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let x be m(-6). Put 3, -12, x in increasing order.\nAnswer: -12, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 6228284.\nAnswer: 31141420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 1, c: 1, h: 3, j: 4, d: 2}. Give prob of picking 1 c and 1 z.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117024867?\nAnswer: 3, 811, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.02 + 0.02. Let a = 9 - 9. What is the closest to a in -4, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*t - 5*t - 11, -4*t = 5*f + 26. Let i be f\/((-204)\/(-166)) + 5. Factor -2\/17*g**2 - 4\/17*g + i*g**3 + 0.\nAnswer: 2*g*(g - 2)*(g + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 789 + a25?\nAnswer: 11ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2116 times -21\nAnswer: -44436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145347 is divided by 62?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31783967 to the nearest integer?\nAnswer: 5638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -14*r. Suppose 3*t - 10*t + 14 = r. Sort -2.6, t, 0 in decreasing order.\nAnswer: t, 0, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let h = 1500 + -1498. Let t(o) be the second derivative of 0*o**h + 0*o**3 + 5*o + 0 - 7\/6*o**4. Determine t(i(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a - 6 = 0. Let c be a + 3\/3 - -5. Suppose 0 = c*g - 16 - 156. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 5*p**2 + 5*p + 5. Let z(s) = -s**3 + 4*s**2 + 4*s + 4. Let a = -9 + 13. Let f(y) = a*u(y) - 5*z(y). Suppose f(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*v**2 - 2*j**3 + 825*j**2*v**2 - 19*j*v - 2*j + 2221*v**2 - 2938*v wrt v.\nAnswer: -4*j**3 + 1650*j**2 + 4442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154 - u**3 + 162 - 3*u**3 - 53 + 813 - 155*u wrt u.\nAnswer: -12*u**2 - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0)**(1\/37) assuming b is positive.\nAnswer: b**(1\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*b + 32, 5*k + 3*b = -3 - 15. What is the common denominator of k\/(-9) - (-179)\/(-12) and 137\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Suppose s*n + 20 = -0*n. Let z be ((-2)\/8)\/(2\/4). What is the second smallest value in n, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1541*r - 4845. Determine h(-3).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8592 and 7?\nAnswer: 60144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 + 5*t + 16. Determine i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 71 = -8*b, -39*d - 2 = -38*d - b. Solve -24 = -77*h + 76*h - 4*k, -2*k = -d*h + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 14*g + 66*g as l + n*g and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**3 + 6*f**2 + 5*f - 3. Let g(u) = -u**2 - u + 1. Give a(h) + 4*g(h).\nAnswer: 7*h**3 + 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86149 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*k**2 - 5*k**2 - 5*k**2 to v + i*k**2 + a*k and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.129058 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z + 86*z + 5*z)*(-3 + 2 + 4)*(-z**3 + 2*z**3 - 2*z**3) to p + o*z**3 + h*z + b*z**2 + s*z**4 and give s.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ela when three letters picked without replacement from {v: 1, i: 6, e: 2, l: 9, a: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41587\/273 - (-1)\/(-3). Solve 158 = -3*f + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3.2085017\nAnswer: -0.96255051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.98. Let u = o - -1.98. Which is the biggest value? (a) 3 (b) u (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/60 + i**4\/6 - 2*i**3\/3 - 7*i**2. Calculate d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 11:11 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -35?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdx when three letters picked without replacement from fxdxbzcdb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 8) to base 13.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*l - 4*a - 4, -l - 16 = -5*a. Suppose l*y = 6*y - 18. What is the lowest common multiple of y and 140\/18 + (-4)\/(-18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3121 - -10399\/3. Let x = 332 - y. Calculate the common denominator of x and 89\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89\/9 - 635\/36. Calculate the common denominator of 107\/120 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - -4545?\nAnswer: 4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpish. What is prob of picking 1 p and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-24)\/(-252))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from qrfqqqr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, -2\/17, -0.2, 765 in decreasing order.\nAnswer: 765, -2\/17, -0.2, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445816 divided by -68?\nAnswer: -21262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-1 - (-254)\/28 - (-3)\/(-42)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/(-210) + 1\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**2 + 9*a**2 + 5*a - 4*a. Let s be c(-1). Solve 3*q + s + 10 = 4*n, 0 = q + 5*n - 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 35*r + 33 = 0. What is the nearest to r in 2\/19, 5, 0.4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 163.\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 3. Let z be (9\/(-3))\/(1\/(-2)). Let q(i) = -4*i**2 + 13. Suppose 0 = r + 4*r - 130. Calculate r*h(n) + z*q(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 37 = 233. Let t be (-14)\/j + 44\/7. Let r(w) = -1 + 5*w**2 - t*w**2 + 2 - w**3 + w. Calculate r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 1440.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -12315?\nAnswer: -12315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, 115, 459, 1129, 2233, 3879?\n\"Answer: 18*x**3 + x**2 - 3*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 11. Let n be t(-8). Let x = 0.16 - -0.04. What is the closest to x in 3, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49690722 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - (-27 - -31)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8421*d**3 - 1 + 11619*d**3 - 5156*d**3.\nAnswer: 14884*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514354 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-1 + sqrt(55))\/(sqrt(5) + 1*sqrt(125))*2 + ((2*sqrt(88) - sqrt(88))\/sqrt(8) + -1*sqrt(1100) - (sqrt(704)*1 + -1)**2).\nAnswer: -705 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 4. Let r be p(5). Suppose r*c = 5*c + 5. Suppose -3*l - 54 = -c*l. Solve -5*n + l = -4*u, -24 = 5*u - 7*n + 4*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18838, -37675, -56542, -75439, -94366?\n\"Answer: -15*h**2 - 18792*h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3324*14140\nAnswer: -4700.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/52)\/((-13)\/(-169)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 19657 - 2724 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.809 and -2640316.\nAnswer: -2640315.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*k + 32. Suppose 20 = t - 4*z, 0 = 3*t - z - 13 - 3. Let q(a) = a**2 - a + 5. Let i be q(t). What is the greatest common divisor of i and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from aagafggpmapgcap?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3492 and (-4)\/(-150)*(-53110)\/175376.\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2. Let l(p) = -8*p**2 + 131*p. What is l(a(z))?\nAnswer: -32*z**4 + 262*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/61216100 and -15\/2?\nAnswer: 61216100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/(406\/348).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4235866 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 5:03 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c\/c**(10\/3)*c*c**25 assuming c is positive.\nAnswer: c**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -76*h**2 + 20*h + 20. Let b(x) = 11*x**2 - 3*x - 3. Determine -40*b(n) - 6*j(n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 32c?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (115 - -8) - (35 + (-58 - -10))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(60)*-3)\/sqrt(12) - sqrt(10)\/(sqrt(50)*-1 - sqrt(50)).\nAnswer: 31*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-1036)\/(-2 + -12) - (-23 + -1)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 24149248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3 = -3*c, 3*c - 55 = -q - 49 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 414.884 litres?\nAnswer: 414884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -390 + 362. Sort -2, 1, t.\nAnswer: t, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -102. Let i(x) = x**2 - 5. Let y be i(p). Let h = -34 - -39. Solve h*t + 10 = -5*a, -4*t - y = -t + 4*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -22.4005, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -504.1 + 502.8. Let m = -3 - -4. Let a = v + m. Sort 5, 1\/2, -1, a in descending order.\nAnswer: 5, 1\/2, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -13. Suppose -15*h + h + 1890 = p. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -49. Solve 0 = -3*p - s*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10800 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m - m)*(-382*m - 1 + 1 + 489*m).\nAnswer: -321*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) + 10\/50. Let m = -1623 + 1615.91. Let p = m + 0.09. What is the third biggest value in a, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*14\/(-1323))\/((2\/(-6))\/1). Which is the nearest to 1? (a) j (b) -0.4 (c) -130 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256299805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (560\/(-195))\/((-2)\/(-3)). Let d = p + 3123\/728. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**6\/120 - 7*w**5\/30 - 5*w**4\/8 - w**3\/2 + 30*w**2 - 2*w - 155. Let j(z) be the second derivative of t(z). What is j(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/24 - (-6)\/(-80))*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309629413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 16*x + 3. Let w be o(8). Suppose 0 = -5*k + w*c + 154 + 48, 0 = -3*k - 2*c + 106. What is the lowest common multiple of k and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/14)\/(-3))\/(1202\/(-4207)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + -2.42. Let w = -0.5 + x. Let b = -4 + 6. Put w, -0.3, b in descending order.\nAnswer: b, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*k**2 - 539*k**2 + 1269*k**2 - 382*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.1 + -10. Let w = 0.1 - 0.3. Put -0.3, q, w in decreasing order.\nAnswer: q, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.43 - 1.61. Let s = -0.18 - w. Let a = -4.3 + 4. What is the closest to -0.1 in a, s, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1126 (b) 88 (c) -4 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from ptpthppptppplrptn.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000612 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3235419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) 0 (c) 1 (d) 1.79 (e) 3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:04 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 26.36. Let s = r + -0.12. What is s rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 16 - 3*t**2 + 15.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405) + -5 - sqrt(405))**2 + ((sqrt(80) - sqrt(5)) + -2)*-1.\nAnswer: -3*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67087 and 11.\nAnswer: 737957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36\/130097 + 1726777049\/1561164. Let b = -1102 + c. Find the common denominator of b and 53\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from eeebebeeeeb?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-11 - -7) + -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10232640 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 1417*b**2 + 7107*b - 5. Calculate c(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313232023 (base 5) to base 7.\nAnswer: 36460450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 24\/(-18)*(-3)\/(-2). Solve 0 = -s*i + 5*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15*n - 1863. What is r(104)?\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 6*v - 2. Let x be h(-5). Solve -6 = 4*d - 7*d - 3*a, 24 = -3*d + x*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80718 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0*h**2 - 22 - 61\/15*h**6 + 0*h**5 - 2*h - 37\/6*h**3 + 0*h**4. Find the second derivative of i(s) wrt s.\nAnswer: -1464*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9*p + 616 = 6*p, -4*y - 4*p = -2512. Calculate the remainder when y is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 960 + -2854\/3. Let o be ((-196)\/24 - 9\/(-54)) + 16. Factor 8\/3 + y*g**2 + o*g + 4*g**3 + 2\/3*g**4.\nAnswer: 2*(g + 1)**2*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.84 + 4. Let g = f + -5.16. Let v = -549 + 1649\/3. What is the smallest value in -11, g, v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v - 1. Let a be s(1). Let g be a*(-2 - 0)\/4. Let b(k) = 13*k + 8. Let y(z) = -3*z - 1. Let m(i) = b(i) + 5*y(i). Calculate m(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -63*d**2 + 73*d - 6. Let u(c) = -63*c**2 + 74*c - 4. Let i(y) = -2*h(y) + 3*u(y). Find the second derivative of i(l) wrt l.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (4 - 4)\/3. What is the third derivative of -n*r**4 + 7*r**4 + 9*r**2 + 0*r**4 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m + 2. Let i be q(3). Let a = i + 126. Does 28 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10c949 (base 14) to base 15\nAnswer: -b49c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*-3 + 2*sqrt(102)*6)\/(sqrt(600) + -1*sqrt(600)*2)*6.\nAnswer: -54*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 261350.22 months?\nAnswer: 21.779185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -74. Let w = 54.09 - c. Let b = -0.29 + w. Sort -0.02, 2, b in descending order.\nAnswer: 2, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 10.14 (c) -1\/5 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 5) to base 12\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**4\/4 + 11*c**3\/3 - 5*c**2 - 2*c - 1. Let n = -545 + 554. What are the prime factors of u(n)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7489 is divided by 194.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 0.03 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a + 104. What is the lowest common multiple of 9 and b(16)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*h**2*k - 2*h**2 - 82419*h*k - 5829*h + 25*k + 26734 wrt k?\nAnswer: -46*h**2 - 82419*h + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -6 (c) 1\/22 (d) 0 (e) 0.5 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1452815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14*n - 4. Let t be h(1). Let q be (-4)\/t - (1 + 106\/(-9)). Differentiate 15 + q*d**3 - 16*d**3 - 4 with respect to d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12237.9 times -2\nAnswer: 24475.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*o + 8, -3*h + 0*o - 7 = 5*o. Let f be 0\/h - (-4)\/(-2). Is 70 - f*1\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1817336, 3634875, 5452414, 7269953, 9087492?\nAnswer: 10905031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -963040 rounded to the nearest 1000?\nAnswer: -963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.28685nm to centimeters.\nAnswer: 0.000009728685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-5)\/(-1))\/10)\/((-2)\/8). Let y = -6573\/299 - -279\/13. Which is bigger: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -1, 5 in increasing order.\nAnswer: -1, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 9:48 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -470975\/332 or -1418?\nAnswer: -1418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 5. Let v(h) = -1. Let n(q) = -b(q) - 3*v(q). Let m be n(-5). Let u(o) = 2*o**2 - 2*o - 2. Give u(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21615?\nAnswer: 3, 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80667, -645274, -2177751, -5162028, -10082035, -17421702?\n\"Answer: -80655*d**3 - 5*d**2 - 7*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918293 is divided by 131183.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + (-52)\/(-48)*3. Suppose 0 = 2*d + 6, -63 = -3*n - p*d - d. Let x be ((6\/n)\/(-3))\/(36\/45). Is -0.1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -106. Let s = g - -73. Differentiate -23*t + 5 - s*t + 40*t wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t. Let p(i) = 2*i**2 + i**2 - 2*i**2 - i - i**3 + 4. Determine p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -6. Let j(c) = c**3 - 4*c**2 - 5*c + 5. Let y be j(h). Suppose y*m = m + 176. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -10987*y**5\/20 - 13*y**4\/12 + 163*y**2\/2 - 8355*y. Find the third derivative of r(f) wrt f.\nAnswer: -65922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41586501.\nAnswer: 3, 11, 571, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2257 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 56. Let d(j) = -j + 83. Calculate 5*d(a) - 8*f(a).\nAnswer: 11*a - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1003 + -1002.9. Which is the nearest to m? (a) 2 (b) -5\/4 (c) 5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1868.56 - 1720. What is n rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/285)\/(69 + (-271308)\/3933)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 - 2*b - 79. What is the remainder when g(4) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2497 - -5310180.\nAnswer: 5312677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 599.1 + -599. Which is the nearest to m? (a) -2\/3 (b) -180 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 + 1. Let v be m(1). Let i(c) = 3*c + 18. Let y be i(-9). Let h = v + y. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*f = -100*f - 50 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -4*g**3 + 5*g + 374. Let p(w) = -6*w**2 + 2. What is -5*p(s) + 2*u(s)?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 5. Let m be g(6). What is the second derivative of -8*a + m*a - a**4 - 12*a wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t + 1. Let y be 30\/t*6\/15. Solve 3*i - 6*i = -y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 14*y**2 + 91*y + 83. Give k(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105706, -106006, -106306, -106606, -106906, -107206?\n\"Answer: -300*t - 105406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5395344 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/87, -0.5, -0.2, 3?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2584*k*v - 29*k - 6210*v - 6720642 with respect to v.\nAnswer: 2584*k - 6210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 6791*b + 26 = 6790*b, -4*b + 28 = 4*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*-2 - -16. Let d = 8 - x. Let j(t) = -t**2 - 8*t - 4. What are the prime factors of j(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -11. Let a = z + 85. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oollzitzttilcz. What is prob of sequence zo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 7*g - 3. Let h(c) = 2*c**2 - c + 3. Let w be h(0). Let z be q(w). Factor z - 3*b + 3\/2*b**2.\nAnswer: 3*b*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 382, -0.1, -1059, 2, 1 in decreasing order.\nAnswer: 382, 2, 1, 0.2, -0.1, -1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 3*v + 10, v = 1. Let w(t) = -14*t - 9. Let j(g) = -7*g - 4. Let c(s) = 5*j(s) - 2*w(s). What are the prime factors of c(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, m: 3, p: 4}. What is prob of sequence mmu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -278633 (b) 3 (c) -2 (d) -0.03 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 6}. Give prob of sequence lmmm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 6*i)*(-4 + 4 + i) + 0 - 2*i**2 + 0 - i + i**2 + i + (2*i - 3*i + 3*i)*(-6*i + 2*i + 0*i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5644242 and 198?\nAnswer: 62086662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 36 + 70 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t + 2*t + 0*t)*(4 - 3 + 1) + 6051*t - 2848*t - 2859*t to z*t + j and give z.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -543, -533, -509, -465, -395, -293, -153?\n\"Answer: j**3 + j**2 - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 + 2*a + 5. Let y be b(-4). What is the highest common factor of 169 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -21. Solve -j*c + 8 = 4*p, 0*p - 5*p = -c - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 11*j. Let o be (16\/12)\/(28\/6). Is o equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t. Let d(u) = -u**2 + 1. Let p(m) = 5*m**2 - 4. Let v(k) = -20*d(k) - 5*p(k). Calculate v(s(h)).\nAnswer: -125*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012 (base 6) to base 8.\nAnswer: -2760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let i(n) = -19*n + 8. Calculate -18*g(q) - 2*i(q).\nAnswer: 20*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 0.398?\nAnswer: -1.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mntm when four letters picked without replacement from {n: 3, m: 6, t: 3, y: 1}.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i + 2*i**2 + 30*i + 5*i**3.\nAnswer: 5*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1363, 10\/9917, -0.2?\nAnswer: 10\/9917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4328 by 4.\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 730666442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -13*p**3 + 2*p - 328. Let y(q) = -2*q**2. Determine y(r(f)).\nAnswer: -3042*f**4 + 312*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -2. Let i = v + -25. Put 0.3, 7, i in ascending order.\nAnswer: i, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1889.8 times -0.15?\nAnswer: 283.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/16 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6837 - 8983 = -21*b + 50*b for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -1\/24*j**3 + 1\/80*j**5 + 0 - 1\/240*j**6 - 17*j + 1\/96*j**4 + 0*j**2. Factor b(d).\nAnswer: -d*(d - 2)*(d - 1)*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 61*o + 594 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158781 is divided by 109.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 - 17906*m + 3581 = 0. Calculate m.\nAnswer: 1\/5, 3581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 + 12*r**2 - 14*r - 8. Calculate the remainder when q(-7) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37916 + 37916. Solve -9*t - 1007 + 971 = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 6. Let z be k(6). Let s = 6 + -6.3. Let p = 1626.97 - 1627. Which is the smallest value? (a) z (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + w + 8 = -0*w, -3*w = -h - 8. Suppose 0 = -2*n - 2. Let f = 2 + 0. Put h, n, f in increasing order.\nAnswer: n, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 26, 28, 30?\n\"Answer: 2*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-3)*-1 - 2. Let l = -1.15 - -0.9. Let m = 0.05 + l. What is the second smallest value in -4, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let k(s) be the third derivative of -2*s**2 + 0 + 0*s + 0*s**4 + 0*s**3 + 1\/10*s**5. Give k(b(r)).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12691613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-2) - (-2)\/4. Let w be ((-12)\/9)\/(x\/6). Suppose -20*h + 119 - 1694 = -195*h. Solve c - 2*r = 2*c + h, 0 = 2*c - 3*r + w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.31599 + -0.23599. Let h(l) = l + 1. Let q be h(5). Is q bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 715116\nAnswer: -1\/715116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3125738260?\nAnswer: 2, 5, 19, 1901, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + m**2 + 2*m)*(-377 + 7070 + 2303) in the form i*m + r + n*m**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 39*k**2 - 45*k + 11. Let x(a) = 3*a**2 + 46*a + 34. Let o be x(-15). Is i(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-6440)*69 + 100\/54*(-10)\/(-21).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -5*r**7\/7 - r**5\/5 + 56*r**3\/3 + r**2\/2 + 58. Find the third derivative of d(p) wrt p.\nAnswer: -600*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 581\nAnswer: 5\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 greater than -0.166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((57\/21)\/19)\/((-40)\/3080*473)\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2*z - 3. Let l be a(-1). Suppose 3*b = -3*t + 3 - l, -t = -4*b - 1. Solve 0 = j + 2 - t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1070*y - 26755. Give v(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 21221343?\nAnswer: 21221344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*c**2*j**3 - 4*c**2*j + 101*j**2 wrt j.\nAnswer: 2118*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 154.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30033 (base 4) to base 12\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, b: 4, l: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-2)\/(-8)*(55 + 3819) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 49*b - 173. Let k be v(15). Let j = -8608 - k. Round j to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -35767\/2835 at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**2 + 7*c + 5. Let p(l) = 3*l**2 - 4*l - 2. Let q(x) = -5*p(x) - 2*y(x). Let d(n) = 6*n**2 - n + 1. Let j be d(1). What is q(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 5824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2. Let q(d) = -d**3 + 5*d**2 + 4*d + 14. Let v be q(6). Let u(n) = n**2 + 2*n + v*n - 4*n. Calculate u(g(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a hour in minutes?\nAnswer: 1240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1207.\nAnswer: 241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339111717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*o + 235 = 256, -o - 1 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**8\/672 + c**7\/210 - c**6\/240 - c**5\/60 - 8*c**2. Determine k, given that h(k) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 421 + -423. Is 5 a factor of -27 - -25 - (-1)\/(j\/(-184))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218 + 243. What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6999 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - 8*s**2 - 11*s**2 - 4*s**2 + 36*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 30.0558. Let c = 0.05579126 - r. What is c rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-20 + 1) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 2. Let b be o(3). Suppose 2*q - 5*i - b = -3*q, -4*q = i - 11. Suppose 6*d = 12*d - 36. Calculate the highest common divisor of d and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 29*c + 25 = 0. Suppose -i + 17 = 5*l, 8*l + 2*i - 13 = c*l. Solve h = 3, 3*h + h = l*g + 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20202210220 (base 3) to base 7.\nAnswer: 1063353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331) + 3 + sqrt(1331) + sqrt(1331) + -4 + 2)**2 + -2.\nAnswer: 66*sqrt(11) + 11978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/31)\/u**(-8))**(1\/7)*(u**11*u**(1\/8)\/u)**(-4) assuming u is positive.\nAnswer: u**(-17077\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2737 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-36)*(-20)\/((-200)\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 12*n + 19. Let s be x(-13). Suppose 2*d + 318 = -s*v + 2*v, -473 = 3*d + 2*v. Let l = d + 224. List the prime factors of l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 305800000 to the nearest 1000000.\nAnswer: 306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 4*v)*(-2 + 6 - 2) - 1481*v + 1480*v - 2357 - 531.\nAnswer: -3*v - 2888","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-2\/9)*x))\/x)\/x*x*x*x**7*x)**(-16\/5) assuming x is positive.\nAnswer: x**(-1184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2413315 (base 7) to base 6\nAnswer: 10321111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l + 25*l - 4*l**3 + 17*l - l**2 + 2*l**3 to d*l**2 + s + h*l + x*l**3 and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -57. Let i = -4 - r. Solve 6*b = 2*b - i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6454, 14081, 21700, 29311, 36914, 44509, 52096?\n\"Answer: -4*v**2 + 7639*v - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2526*i - 568*i - 840*i - 4300*i + (-5*i + 4*i + 2*i)*(0 - 3 + 5) + (2*i - 4*i + 3*i)*(2 + 0 + 0) in the form j*i + k and give j.\nAnswer: -8230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14016429 from 451.\nAnswer: 14016880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 221? (a) 0.5 (b) -12 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - 0) + 0 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84967.81 millilitres?\nAnswer: 84.96781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - 2*g)*(1 - 7 + 1)*(0 + 2 + 3).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65321 and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*u + 24 = 0, -290*w + 2*u = -289*w + 16 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 + s - 1. Let w be 24\/(-9) - 1\/3. Let q be u(w). Let g = -4 + q. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16436 + -16435.9. Which is the nearest to 1\/4? (a) 2\/7 (b) -1\/2 (c) -34.16 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 635018592?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 16985 = -46*d - 4269. Is d a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823273905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**5 + 26*u**4 + 28*u**3 - 44*u**2 - 18*u + 18 = 0. What is u?\nAnswer: -1, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 2. Let n be v(0). Suppose -5*h + 2*f = 21 - 99, -n*h - 2*f = -20. Let m be 0 + -3 + h - 4. Let t(b) = -2*b + 9. Determine t(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4540)\/(-105))\/((-2)\/263). Let c = l - -5688. Find the common denominator of -14\/11 and c.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 1303530*t**3 - 188790683688*t**2 + 9112611336750342*t + 173207777776371099.\nAnswer: -3*(t - 144843)**3*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 77 - (-1 + 13) - 17?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {z: 3, e: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 69.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207139 - -64?\nAnswer: 207203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -68*b**2. Let o(s) = -7*s - 1208*s**2 + 607*s**2 + 0*s + 3*s + 600*s**2. Give o(p(t)).\nAnswer: -4624*t**4 + 272*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzllzlczllzcclcczec. Give prob of picking 1 l and 2 c.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.9922 + 30. Round m to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2134 and 1918.6.\nAnswer: 4094292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d - 9. Let i be x(-4). Suppose -62 = -i*s + 64. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 47 = 5*d, -93*h = -88*h - 2*d + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, -1\/4, 2.1, -41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-20)*(-515)\/(-824)*(-228)\/36?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*k + 20. Let l be 96\/6 + 1 + k. Solve 4*c + l + 6 = 0, 6 = 3*t - 3*c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 + 187632*o\/11 + 187630\/11.\nAnswer: 2*(o + 1)*(o + 93815)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-30))\/((-358)\/(-14141))?\nAnswer: 79\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.13 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*((-441)\/(-28))\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 5*(1 + sqrt(3)) - (sqrt(432) + 0)) + -5*(sqrt(12)\/sqrt(4) + 1).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 28 = 0, -284*j + 3*o = -285*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/177 or -35499?\nAnswer: -8\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 5*u + 5. Let l = 17 - 9. Calculate the least common multiple of l and y(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34085, -68169, -102253?\nAnswer: -136337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -4, 15, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 32 - 0. Let c(z) = 87*z**2 + 1. Let i be c(-1). Calculate the greatest common divisor of i and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 26. Let v be z(-14). Put 0, v, 5 in increasing order.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 + 93*r**2 + 2478 wrt r?\nAnswer: 6*r**2 + 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k**3*s**3 + 4*k**3 + 467*k**2*s**3 - 719*k**2*s - 3*k*s**3 - 2*k*s**2 - s**2 - 1 wrt s.\nAnswer: 66*k**3 + 2802*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/808, 3, -5.\nAnswer: -5, -5\/808, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 457 - 232. Calculate the highest common factor of s and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 3. Let u(j) = j**3 + 11*j**2 - j + 1. List the prime factors of u(n).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + (-57)\/(-4). Let p(q) = q - 12. Let w be p(o). Let 2 + 3*y**w - 7*y**3 - 5*y**2 + 14*y**3 - 7*y = 0. What is y?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Suppose 0 = 2*d - 2*y + 12, -2*d = d + 4*y + 11. Let k(n) = -2*n**2 - 3*n - 1. Suppose 3 - 4 = -w. Calculate d*i(l) + w*k(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 1 e when three letters picked without replacement from ooeuoyh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 519 + -515. Suppose -4*u + 30 = p*y - 2, y - 11 = -2*u. Solve 3*n - u = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266857 to the power of 1\/2, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorrc. Give prob of sequence oorc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 20 + 4 + 398\/(-28)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 156138\nAnswer: 780690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15648 is divided by 123.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-17)\/36 + -3 + (-42)\/(-14) and -87\/92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 9. What are the prime factors of c(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210042034 + 434?\nAnswer: -210041100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*f - 3 = 1, 5*f + 22 = 3*u. Let g(d) be the first derivative of 0*d**3 + 0*d**2 + 0*d + 1 + 1\/20*d**5 + 1\/16*d**u. What is a in g(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 + 19776*c**3 + 3131770*c**2 - 3151548*c = 0. What is c?\nAnswer: -9727, -162, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/30)\/((-2)\/(-18)). What is the third biggest value in -11, z, 2\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 12. Let i be ((-718)\/(-6))\/(1\/b). Let x = 10564 - i. Round x to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1012749 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/3 - 684*y**2 + 467856*y - 106671168 = 0 for y.\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-5 + 1 + 30 + -29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18) - (-760)\/180. Let z(k) = k**2 + 2*k - 3. Determine z(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, 6, 25, 50, 81?\n\"Answer: 3*z**2 + 4*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*b = -50675, -b = 2*i - 2009 - 99321. Suppose 10135 = k + f, 5*k - i = 2*f - f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 10, 157, -1\/9, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18053 and -1.\nAnswer: 18053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 567.0698 minutes?\nAnswer: 34024188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 7*o**2 + o + 4. Let n be x(7). Is 0 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*a**2 + 42*a**2 - 35*a**2 + 1 in the form j + l*a + c*a**2 and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 2\/(3 - 57\/21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smsmsms. What is prob of sequence msms?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + (-38)\/15*3. Let o = 12 + i. Suppose 0 = u + 3*u + 12, -o*u + 186 = 2*r. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/60 + c**5\/20 + c**4\/8 - c**3\/2 - 18*c**2. Let y(t) = 2*t**3 + 2*t**2 + 2*t - 2. Determine 4*j(g) - 6*y(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/2 - 76*u**2 - 465*u\/2 = 0 for u.\nAnswer: -3, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-45)\/(-10) + -7). Let x be (-12)\/42 + 191\/7. Suppose 102 = b*k + x. Solve -k = -5*m - 4*i - 0, 2*i + 9 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -17*q**4\/12 - 1858*q - 13. Let k(f) = 4 + 8*f**2 - 4. What is k(j(z))?\nAnswer: 2312*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/30 - u**5\/12 + u**4\/8 + u**3\/3 - 20*u**2. What are the prime factors of l(3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -19*g + 24*g + 43, -2*g = -4*m + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2263, 4134, 6013, 7900, 9795, 11698, 13609?\nAnswer: 15528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 - 34 - 170)*((1 + 3 - 2)*(2*i + 2 - 2) + 1 + 3 - 1 + 2*i) as n + v*i and give n.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(9 + 4 + 5)*(x**3 + x**3 - 4*x + 3*x).\nAnswer: 36*x**3 - 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437 divided by 4.\nAnswer: -437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -2. Let f = d + 6.1. Is f != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(10)\/sqrt(20) - (-4 + sqrt(2) + sqrt(32))) + 0 - ((sqrt(12) - -1*sqrt(12))*-1)\/(sqrt(96)*1))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20944475*w**2 - 20441608.\nAnswer: -41888950*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*(5 + 0 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 + 187*m - 320*m + 49*m + 46*m - 13*m + 51*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 437587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24435069, 48870134, 73305199, 97740264, 122175329, 146610394?\n\"Answer: 24435065*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + -152. Let n = 18 - 22. What is the closest to -0.01 in -0.3, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 853?\nAnswer: 40\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 3*w - 5*o, 0 = 2*w - 2*o - o - 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r**5 + 0*r**6 + 0*r + 0 + 0*r**7 + 1\/4*r**4 - 5\/336*r**8 + 6*r**2 + 0*r**3. Find the second derivative of c(x) wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/100*1*(-15)\/(-6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-32)\/6)*(44 + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p*p**(1\/3)*p**(3\/7)\/(p**3\/p))\/((p**(2\/3)\/((p\/p**(-2\/3)*p)\/p))\/(p**(1\/3)\/p*p*p**(1\/3))) assuming p is positive.\nAnswer: p**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n\/(n\/(n**(1\/4)*n)*n)*n)\/n)\/n*n*n\/(n*n**5)*n)**(-29)*(((n**(-4\/5)*n)\/n)\/(n\/((n\/((n**(-4)*n)\/n))\/n)*n))**0 assuming n is positive.\nAnswer: n**(319\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 1. Let u = -1792 + 1793. Let d(s) = 4*s**2 + 3*s - 2. Determine u*k(v) + d(v).\nAnswer: 3*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:32 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/81 (c) 7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3\/5, 0.2, -7, -49, -0.6 in decreasing order.\nAnswer: 7, 3\/5, 0.2, -0.6, -7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 52254*k - 313299. Determine f(6).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -125*w**3 + w**2 + 3. Let t = 86 + -88. Is a(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Sort 0.4, 0.2, l.\nAnswer: 0.2, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1324, 832, 350, -116, -560, -976, -1358, -1700?\nAnswer: -1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 4. Let m be j(6). Suppose -9 = -5*v + m*v. Suppose 4*s - 1 = -l, -3*l - v*s = 2*l - 56. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.714*0.4\nAnswer: 7.4856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 52, 85, 120, 151, 172?\n\"Answer: -c**3 + 10*c**2 + 2*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 200 = -2*o - j, -2*j + 400 = 4*o. Suppose 2*g - 3*g = -3*m - 57, 2*g + m - o = 0. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62090\/(-13305))\/((-5)\/(-25)*-2).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/24 + (-186)\/(-8). Suppose -4*a = v - 68. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 = -a, -a + 18 = a - 4*n. Let r(g) = 9 + 9*g**2 + 3*g - g + 0*g - 3*g - g**3. Let o be r(a). Is o greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/33, 11, -1, 3\/7, 0.3 in decreasing order.\nAnswer: 11, 3\/7, 0.3, -2\/33, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/5 + 7*k**2\/5 + 14*k\/5 + 8\/5 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-2\/15)*o))\/o**(-2\/5))**(-2\/89) assuming o is positive.\nAnswer: o**(-16\/1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**3\/3 + 15*r. Let c(z) = 2*z**2. Calculate t(c(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**3 + 7*b**2 + 9*b - 3. Let q(c) = 4*c**3 + 3*c**2 + 4*c - 1. Suppose 2*j + 2*j - 36 = 2*g, -3*j = g - 17. What is j*q(o) - 3*v(o)?\nAnswer: o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1797027940 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1080 - 766. Let c = 314.07 - o. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1372, 6, 0, -2\/11, 0.3?\nAnswer: -1372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -286 - -277. Let r be (20\/(-15))\/(((-30)\/n)\/(-5)). Solve f - 3*s - r = 3, -4*f = -3*s + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/5 - 1963*i**3\/5 - 7002*i**2.\nAnswer: -i**2*(i + 18)*(i + 1945)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003328 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*p + 15, 4*p - 4 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 251 + 301. What are the prime factors of x?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 13 = 3. Let w = 50 + -41. Let j = w + o. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8184000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (0 - 1) + 2223 + -2224?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + -3 + (-2 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -74317*-0.0399\nAnswer: 2965.2483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 24*o + 41. Let b be g(-2). Is b bigger than -41\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 17. Let h be a(2). Suppose -2*d + 3*k + 1184 = 2*d, h*d - 5*k - 1480 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24079841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, q: 1}. Give prob of sequence qhhh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -3 + 6 + -4. Suppose 2*n - 104 = -2*f, 0 = u*f + 4*n - 3*n - 107. Let i = -25 + f. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**3 + 8*o**2 + 18*o. Let n(z) = -4*z**3 + 5*z**2 + 12*z. What is -5*l(k) + 8*n(k)?\nAnswer: -2*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(3\/2)\/s)**(7\/2))**(-8))**3)**10 assuming s is positive.\nAnswer: s**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t - 1, 0 = -r - 3*t + 17. Suppose 0 = -m + 28 - r. Suppose 0 = 3*u + 2*u - 190. Calculate the smallest common multiple of m and u.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9914 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**3 - 2*t**2 - 2*t. Let l(s) = 7*s**3 - 2*s**2 - 3*s. Let x(i) = 3*l(i) - 4*w(i). Let q be x(1). Let m = q - -21. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 696 + -990. Let i = y - -277.1. Let m = 16.89899 + i. Round m to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27 - -8)*(-2)\/(70\/(-63)). Solve 10*s = -t + 53 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 126, 187, 248?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:18 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -591 + 583. What is the nearest to 0.2 in -3, i, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (-41)\/(1886\/(-414)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 - 30*h - 14. Suppose -u = 4*f + 17 - 11, u - 3*f - 8 = 0. Let n(r) = -4*r**2 + 29*r + 13. Let k(c) = u*z(c) + 3*n(c). Calculate k(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 97, 84, 65?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f. Let z(o) be the third derivative of -o**4\/24 + 13*o**2. Determine z(w(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304777, -305362, -305947, -306532, -307117, -307702?\nAnswer: -308287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 3, w: 1, c: 1, d: 1}. What is prob of picking 1 j and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2*h - 2*h)*(-6*h**2 + 4*h**2 + 0*h**2) + (6*h - 9*h - 8*h)*(32*h**2 - 26*h + 26*h) as w*h**3 + g + r*h + m*h**2 and give w.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 131.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from ollfsllolsllsoosol.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -503\/10, -2, 33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Let k = -52.99 + 52.69. What is the second biggest value in c, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/5016105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -139.8, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-6)\/(-36)). Let v be (2\/2)\/(s\/(-42)). Let o be 12\/30*(-20)\/v. Which is the biggest value? (a) 0 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*i = -780*i - 1654*i + 164433 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**3 + 182*m**2 + 8*m + 3. Let y(o) = 2*o**3 - o**2 - 2*o - 1. Calculate -f(d) - 3*y(d).\nAnswer: 2*d**3 - 179*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - 53*p + 232 + 172 = 21*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 0*o - 17082*o**3.\nAnswer: -17082*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 7. Let j be p(-7). Suppose -k + 5*i + 9 = -0*k, -4*k + 2*i = 0. Let x be 4\/(-3)*(k - (-15)\/(-12)). Solve j*u = x*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/3)\/((-102)\/2349). Let n = -169 - v. Let m = 0.08 + -1.08. Which is the nearest to m? (a) -0.2 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) -2\/3 (b) -1\/7 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16324 divided by -212\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.007 - 10.507. Let x = 0.5 + h. Let s = 7 + x. Put s, 1, 3\/7 in descending order.\nAnswer: 1, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a + 18. What is k(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 557\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 3, -16356.\nAnswer: -16356, -15, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26131 + 26131.03. Let s = -0.7 - -1. Which is the nearest to 0.1? (a) d (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k - 6*k + 2 + k)*(-31 + 120 + 87).\nAnswer: 704*k + 352","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - c**2 + c. Let g(q) = 3*q**3 + 2*q**2 - 156*q. What is -g(j) - r(j)?\nAnswer: -6*j**3 - j**2 + 155*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(-732)\/(-915)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.0937.\nAnswer: -0.04685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/81 and -11\/72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-10)\/2)*1. Which is the biggest value? (a) -0.1 (b) 1.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-240 - (0 + 0)). Suppose -2*h + v = 2*h. Calculate the highest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*j + 87 = -296*j - z, 0 = -j - 6*z + 53 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, f: 3}. Give prob of picking 2 f and 2 x.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*230.2.\nAnswer: -94.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/((p*p\/p**(-1))\/p)*p))\/p)\/p)**(3\/16)\/(p**(-11)\/(p\/(p*p\/p**2))) assuming p is positive.\nAnswer: p**(189\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + 1 + 0)**2 + -1*sqrt(5)*4 + 3 + sqrt(5) + 0.\nAnswer: 29*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 - s**3 + 2*s**2)*(11*s - 39*s - 36*s) to the form a + c*s**2 + x*s**3 + w*s**4 + j*s and give w.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15444*i + 14292*i - 30559*i.\nAnswer: -823*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 2. Let a be 2 - 2 - (1 + -1). Let p(f) = f**2 - f - 3. Let d be p(a). Let x be (1\/d)\/(2\/12). Let n(u) = -17*u - 8. Calculate x*n(b) - 9*m(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 2*n - 4*n - 33*n - 43*n.\nAnswer: -73*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23532403*f**3 - 65365*f**2 - 89*f.\nAnswer: 141194418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q + 14 - 7 = 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 86. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 4*k**3 + 6*k**3 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 14 - 2 = 0, 0 = 5*c - 4*g + 6. Suppose -3*o + o = -c. Suppose -4*d = -5 - 15. Calculate the highest common divisor of d and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 22 + 11*s**3 - 31.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 5:49 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(((sqrt(1216) - (sqrt(1216) + sqrt(1216) + 0)) + -5)*2 + 4*(-3 + sqrt(1216) + 1) + 0)**2.\nAnswer: -1728*sqrt(19) + 15559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3\/6 - 64*p. Let b(y) = y**2 - 19. Calculate n(b(s)).\nAnswer: s**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10684281281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16 = 3*x, -6*x - 5*a + 27 = -5*x. Solve 7*s + 2*v = 4*s + 11, x*s - v = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -70*n**3 + 32*n**3 - 46 + 32*n**3. Let d(o) = -5*o**2. Give d(z(p)).\nAnswer: -1620*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 23. Calculate o(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 352*o**2 - 241*o**2 - 319*o**2 + 23 in the form n*o**2 + v + q*o and give n.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3\/9 - 89580*w**2 = 0?\nAnswer: -403110, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 1. Suppose 2*h - 3*l = 132, -i*l - 12 = -6*l. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**2 - 5. Suppose 30*s + 97 = 127. What is r(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + -86. Let v be (z\/160*4)\/(2\/5). Factor v*j - 1\/4*j**2 - 1\/4*j**3 + 0 + 1\/4*j**4.\nAnswer: j*(j - 1)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 739, 731, 717, 697, 671, 639, 601?\n\"Answer: -3*i**2 + i + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 8 + 15 + -35?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 2*p + 10, o - 2 = -p + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12434)\/(-217595))\/(-6*(-2)\/(-10))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7698 - 25288 = -1347*c + 14159 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4 = -4*b + 7*f, -4*f = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/3 (b) -5 (c) -0.3 (d) 1.05 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75732.8 minutes to nanoseconds.\nAnswer: 4543968000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1491561*a - 655042.\nAnswer: -1491561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1247, 5078, 11463, 20402, 31895, 45942?\n\"Answer: 1277*u**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g**3 - 7*g**2 + 4*g - 11. Let v(a) = -5*a**3 + 4*a**2 - 2*a + 6. Suppose -6*q + 129 - 9 = 0. Suppose q - 14 = k. Give k*m(y) + 11*v(y).\nAnswer: -y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - ((-14 - -31) + -2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2619, -3756, -4867, -5952, -7011?\n\"Answer: 13*p**2 - 1176*p - 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)*(-7 + 5). Let j be (3\/4)\/(6\/(-4)). What is the closest to 2\/5 in k, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 34580*m - 34585.\nAnswer: 5*(m - 6917)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.5 * 108163.\nAnswer: -5137742.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129655482.\nAnswer: 2, 3, 11, 1964477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15124 less than -0.314504?\nAnswer: 15123.685496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 133 + 5*g**2 + 1\/3*g**3 - 11*g. Determine x(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 0, -1 in decreasing order.\nAnswer: 9, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8670 or -0.034?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1264661001 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 64*v**2 - 519*v - 45. What is the hundreds digit of n(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 9*w**2 - 131*w + 133. Calculate z(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010001 - 1011?\nAnswer: -1000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 6*b**2 + 5*b + 2. Suppose 25 = 53*w - 48*w. What is y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, x: 9}. What is prob of picking 2 h?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -10 + 168\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 483*y**3 + 19680*y**2 - 19200*y.\nAnswer: 3*y*(y - 80)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-7))\/r**2)**(-36) assuming r is positive.\nAnswer: r**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 2324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*i**3 - 513*i**3 + 175*i**3 + 168*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001782 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:53 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 10:53 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 3575*n**2 - 3150000*n - 81000000.\nAnswer: -(n - 1800)**2*(n + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -174. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*c - 7, -2*m = 2*c - 3*c + 8. Suppose c*h = -3*h + 30. Calculate the smallest common multiple of 8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*y = 175*y + 181*y - 960 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/646*(-10)\/30.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14534720 and 128.\nAnswer: 29069440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -37*t**2 - 33*t**2 - 39*t**2 + 31 + 108*t**2. Let n be (-45)\/(-60) - 6\/8. Calculate the lowest common multiple of s(n) and 11.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**7\/10080 + x**5\/480 + x**4\/12 + 6*x**2. Let i(r) be the second derivative of n(r). Factor i(b).\nAnswer: -(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -289, -968, -2085, -3628, -5585, -7944?\n\"Answer: 2*x**3 - 231*x**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15377 is divided by 324?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181350 = -2679*o - 948*o for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 11*v**2 - 8*v + 5. Let n be r(9). Suppose -n*l = -105*l + 680. Calculate the lowest common multiple of l and 60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + -1 + -22. Let f = 24 - r. Suppose -f = -2*o - 3*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*x + 729, 5*d - 1191 = 3*x - 0*x. Suppose -5*b = -2*l - 602 - 58, -d = -2*b - 4*l. What are the prime factors of b?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-8)\/a)\/a)\/(a*a\/(a*(((a**(-10)*a)\/a)\/a)\/a)*a)*a**(-6\/7)*a**9)**(-1\/10))**(-2\/17) assuming a is positive.\nAnswer: a**(-104\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -552, 4\/315, 184 in ascending order.\nAnswer: -552, -2\/11, 4\/315, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 + 9*n**3 - 15*n**3 + 4*n**3 - 18.\nAnswer: 7*n**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/20 and -91\/368?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 12:02 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - s + 1. Give n(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 7*m - 6. Let b be n(-9). What is the highest common divisor of b and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 1265 = 106. Find the second derivative of 56*u + o*u + 156*u**4 - 156*u**4 + 86*u**5 wrt u.\nAnswer: 1720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2408 - 1713. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 3, -5, 43\/5?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Suppose 0 = -5*q + r*y, 2*y = 6 - 4. Suppose 2*b + q = 25. Solve i = -3*i + b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13786\/1915 + 2\/1915. Let g(o) be the second derivative of m*o**5 + 0 - 10\/3*o**4 + o**2 - 2*o - 7\/6*o**3. Factor g(w).\nAnswer: (4*w - 1)**2*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24966 is divided by 390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:01 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6113610.9 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = d + 218 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 + 2069*t**3 - 6636*t?\nAnswer: 24*t**2 + 12414*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24700 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69753*x**2*z**3 - 18*x**2 + 81744*x*z**2 + 60*z**6 wrt z.\nAnswer: -418518*x**2 + 7200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6847037679?\nAnswer: 3, 41, 3407, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k + 98 = 3*y, 0 = -2*k + 8. Suppose 0 = -u - 2, -2*t - 6 + y = u. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 - 225*o**2 - 415277*o\/6 + 280462.\nAnswer: -(o - 4)*(o + 483)*(o + 871)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/312)\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 920, 2689, 6030, 11465?\nAnswer: 19516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 60*k**2 - 52*k + 27570. Give c(29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - o - 1. Let b(c) = 6*c**3 + 12*c**2 - 5*c - 1. Let j(p) = b(p) - 5*l(p). Suppose 4*n + 5*w = -18, 4*n - 3*w + 5*w + 24 = 0. Give j(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 8181*u**2 + 10*u**3 + u - 1 - 8184*u**2 as o*u**3 + b*u + n + l*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -151*w - 1. Let o(h) = -719*h - 363*h + 1097*h. Determine o(z(b)).\nAnswer: -2265*b - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13757115497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 62*y**2 - 3*y - 73. Let s be z(-31). Solve -s*r + 9*r + 44 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*s**2 + 109512\/5 + 936\/5*s.\nAnswer: 2*(s + 234)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from fkckcfcckkcckcccck.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -154, -162, -184, -226, -294, -394, -532?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, c: 13}. What is prob of picking 1 c and 1 d?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 7*n + 4. Suppose -n - 5 = -h. Calculate the greatest common divisor of h and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 = 5*m, -m = 4*j - 52 - 34. Let n = 281 - 270. Calculate the remainder when j is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239915\/4 - -59980. Factor k - b - 1\/4*b**2.\nAnswer: -(b - 1)*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812061.8 milliseconds in minutes?\nAnswer: 30.20103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f. Let w(y) = 5*y**2. Suppose 13*b - 135 + 57 = 0. Let h(j) = -j**2. Let n(p) = b*w(p) + 35*h(p). Determine n(r(z)).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-2 - -1). Suppose -5*x - 15 = -k, -5*x = -3*k - 4*x + 17. What is the closest to y in -1, k, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121053498?\nAnswer: 2, 3, 17, 421, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*o - 55*o = -86 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 330746405 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -70*w + 22*w - 4 - 3*w. Let i(h) = 52*h + 5. Let s(n) = 4*i(n) + 5*q(n). Let l(a) = 3*a**2. Give l(s(g)).\nAnswer: 6627*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -501?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 28 = -8*f, -98*f + 100*f - 2*v = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u - 2. Let r(j) = 2 + j**2 - 10 + 8. Give t(r(m)).\nAnswer: 10*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyk when three letters picked without replacement from yyykyyyyyyyky.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x\/((x*x*(x\/(x*x**(1\/3)*x))\/x)\/x)*x)\/x)\/x*x))**(-1\/16)\/((x\/x**(-2\/5))\/(x\/(x*x*x*x\/x**3*x))) assuming x is positive.\nAnswer: x**(-139\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593*x = 586*x + 5217 + 23049. List the prime factors of x.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222112011203 (base 4) in base 5?\nAnswer: -10320204030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 - 3194*m**4 + 3*m**3 + 86*m**2 - 57*m + 6 wrt m.\nAnswer: -60*m**2 - 76656*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4299 - 68.5692997\nAnswer: -4367.5692997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -170111\nAnswer: 255166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 13*t**4\/4 - t**2\/2 - 332*t + 296. What is the first derivative of w(g) wrt g?\nAnswer: 39*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Let l be (-10)\/t - (-17)\/34. Solve -4 + 1 = l*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980\/439 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 10*a**2 - 23*a + 135. What is p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12541120 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 1057*s + 138003. Give v(236).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/(j*j\/(j**(-1\/2)\/j)))\/(j**1\/j**(2\/11))*((j**(-1)\/j)\/((j\/((j\/j**2)\/j)*j)\/j))\/(j**1*j\/j**(3\/2)) assuming j is positive.\nAnswer: j**(-152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 4:16 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/3 - 4848*b**3 + 189205*b**2\/3 - 174684*b = 0. Calculate b.\nAnswer: -14557, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 12. Let c be m(8). Solve 0 = -4*a - 2*u - 12, -4*a + 0*u = -2*u + c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561425 (base 7) in base 9?\nAnswer: 160718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -410122551 - 15?\nAnswer: -410122566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-2 - 13)) + (-2 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 23. Let o be (-4)\/(-6)*(k + -1). Suppose o*p = 2*p + 156. Calculate the greatest common factor of p and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 13*z + 58. Let w = 29 - z. Differentiate 99*k**4 + w - 11 - 113*k**4 with respect to k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -6*z. Let n(r) be the first derivative of -1 + 0*r + 1\/2*r**z. Let g(w) = -w**2. Calculate g(n(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 3796 - 68 = 0. Calculate the greatest common factor of x and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-3 - (-9 + 9 + -12)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -3\/4844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 10220012001020?\nAnswer: -10220012000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -44*o - 307. Let t be l(-7). Put t, 12, -2 in descending order.\nAnswer: 12, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790604 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 13*o - 2*z + 20, -3*o - 7*z = -83 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - h + 3 - 32 = 0, -4*j - 3*h + 33 = 0. Let s be 70\/6 - (-4)\/(-6). Let i = j - s. Which is the third smallest value? (a) -1 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23640000 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -18. Suppose 0 = 3*f - 0 - w. Let h be -1 + 3 - (-94 + f). Calculate the highest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3489 divided by 8.\nAnswer: -3489\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 14 = -0*h - 3*h, h = -2*x + 10. Suppose -3 + 11 = h*d. Suppose 2*g - d*u + 1 = 3, -2*g - 3 = -5*u. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23981 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(((-9)\/(-30))\/(24\/(-20))). Let w = 2024 - 907. Is 1*-4 - (h - w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 12. Let k(v) = 3*v - 4. Let w(s) = 2*s - 3. Let o(d) = f*k(d) + 4*w(d). Calculate the remainder when o(-7) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005020.\nAnswer: 2, 3, 5, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13944)\/280 - (-4)\/5. Let b be (-200)\/(-35) - 14\/i. Calculate the greatest common divisor of 138 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 + 0*z**2 + 3*z**2)*(-z - 2*z + 5*z)*(2*z - 3*z - 4*z) + 5*z**4 - 2*z**4 + 0*z**4 to y*z**3 + w*z**4 + c + p*z**2 + r*z and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 8a4fb4?\nAnswer: 8a4faa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from bmmb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (13 + -106 - (-43 - -19))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -217*o + 903 - 252. Solve 105*c - 110*c - o*p + 17 = 0, 2*c + p - 7 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 + -1 + 11 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by (0 - 64\/6)*45\/(-30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/4)\/((-33)\/(-88)). Let s be 8\/m + (-362)\/3. Let q = s + 261. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 7\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52\/27? (a) 215 (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 8176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 4*c + 1. Suppose 0 = -6*t - 42 + 24. Calculate h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 2*i**2 - 2*i + 1. Let o be c(-2). Let b(d) = -d**2 + 5*d + 3. Let y be b(o). Solve -y*h - 1 - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1 + -5 + (-571584)\/(-208)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-13\/2)*c**19 assuming c is positive.\nAnswer: c**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:07 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369857, -740093, -1110333, -1480577, -1850825?\nAnswer: -2221077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*x = 10, 5*n - 3 + 7 = -3*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 377, -5010, 3\/5 in decreasing order.\nAnswer: 377, 3\/5, -5010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Let q = 2 + s. Suppose 3*z + 5 = q*f - 4, 5*f - 21 = -z. What is the greatest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 28 = -5*i, -3*m + 9 + 6 = 3*i. Let v be i*259\/56 - 3. Factor v*f**2 + 15\/2*f**3 + 12 + 30*f + 3\/4*f**4.\nAnswer: 3*(f + 1)**2*(f + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479 divided by -3\nAnswer: -479\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8024 + 8024.00006457. Round s to six decimal places.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1179\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-7 - -11) + (-8 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6132663.6 - 2?\nAnswer: 6132661.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 + f + 33. Let z be m(0). Let i = z - 19. Suppose -2*s + 35 = -w + 4*w, 5*s - 20 = -3*w. Solve w = -5*j - 4*x, 2*j - 13 = 5*x + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145 and 52435683?\nAnswer: 262178415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 l when three letters picked without replacement from {k: 9, l: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i - 2*m + 24, 16 = 4*m. Let l = i - 8. What is the tens digit of (22\/l)\/((-3)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**5\/2 - r**4\/8 - 5*r**3\/6 + r**2\/4 - 20. Let b(y) = 0. Calculate y.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -69. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 79*z. Let x be f(2). Let k = -101 + x. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 42, 37, 12, -39, -122, -243, -408?\n\"Answer: -b**3 - b**2 + 19*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97585 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/18 - 0) + 9641\/(-2799).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 58*i - 1. Let x be j(1). Let u(t) = t + 3. Let l be u(1). Suppose -h = -l*h + x. Round h to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15974000 to the nearest 100000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/5 - 339*u\/5 + 68 = 0 for u.\nAnswer: -340, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**2*u**3 + 2*f**2*u + 38*u**4 + 84*u wrt u.\nAnswer: 48*f**2*u + 456*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032617 times -79?\nAnswer: -2.576743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1376 and 37648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2 + 2. Let u = 94 - 72. Suppose 110 = 6*c - u. What is the lowest common multiple of c and z(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 45 - 9. Suppose i*n = -3*k - 2, 3*n + 0*k - 2 = -2*k. Solve -6 = -n*u, 4*l - 3*u = -7 + 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 303*h**3 + 298*h**3 - 611*h**3 + 2 in the form d*h**3 + n*h + r*h**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**8\/7560 + m**6\/1620 - m**3\/6 + 9*m. Let r(c) be the second derivative of u(c). Find d, given that r(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41400 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c**3 + c**2 + 128. Let i(k) = 40*k**3 + 3*k**2 + 384. Determine -3*i(d) + 8*w(d).\nAnswer: -8*d**3 - d**2 - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -51 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -1, 85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 349184 and 2172852?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.5 (b) -4 (c) -0.4 (d) 134 (e) 174.6 (f) -2 (g) -38\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 217599.\nAnswer: 43519.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/11)\/w**(-1\/2)*w\/w**(-17)*w**12 assuming w is positive.\nAnswer: w**(679\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 1544*g**2 + 75095*g + 505938.\nAnswer: -(g - 53)*(g + 6)*(g + 1591)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 10832\/(-1480))\/(12\/10). Let t = 90\/37 - i. Calculate the common denominator of 32\/3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 + 2*r - 1. Let l be j(1). Let y be (-1*2 - (l + 2)) + 4. Solve 2*h + 2*h - 4*t - 16 = 0, -4*h - 20 = y*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*o - 2064 + 2064 to the form q*o + a and give q.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -503301 (base 11) to base 8\nAnswer: -3055214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 34*l**2 - 2*l + 2. Let q be t(1). Let m = q - 103\/3. Which is the third biggest value? (a) -2 (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuyy. What is prob of picking 1 u and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1224) + (sqrt(136)\/sqrt(4) + sqrt(34))*-5)\/((1*sqrt(4))\/sqrt(2) + (-4*sqrt(18) - sqrt(2))).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.172 + 27.172. Is -0.3 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2189 - 2157. Let u(h) = 33*h - 24. Let q be u(8). Calculate the highest common factor of o and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x - 1\/4*x**5 + 3*x**2 + 0 + 2\/5*x**3 + 0*x**4. Let k(d) = 0. Calculate d.\nAnswer: -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 14) to base 11\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39372813 divided by -1\nAnswer: -39372813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58846283, -58846268, -58846253?\n\"Answer: 15*f - 58846298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c - 1 + 103*c - 2.\nAnswer: 134*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d5 (base 15) to base 11.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*v + 3*w, -39605*v + 39609*v - 5 = -w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, -2, -125\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 divided by -237?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rifiiiyni. What is prob of picking 1 n and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0\/(-4) - -1 - -1). Let c(w) = -w**2 + 2*w + 101. Let t be c(m). Let a = 240 - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-16))\/(61\/(-122)). Let k be (-1)\/(-4) - 62\/(-8). Suppose -2*q = 2*q - k. What is the smallest value in q, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o + 2. Let z(t) = -23*t + 9. Let l(u) = 6*w(u) - z(u). What is l(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5942044564 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 + 1 = 0. Let v be (g\/(-35))\/(8\/(-40)). Sort -1\/10, 1\/4, v in increasing order.\nAnswer: -1\/10, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*r**2 - 271*r wrt r.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*g + 14*g**2 - 44 + 46 + 8*g**2 + 0*g + 2*g in the form d*g**2 + y*g + z and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 527580886 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**2 - 3*y - 2. Calculate f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 7*l - 452. Let c be p(-19). Calculate the greatest common factor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357825.\nAnswer: 3, 5, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*5\/(-3) + -5. Suppose -2*l + 0*l + 5*p = 9, p - 15 = -4*l. Solve 4*s - l*s = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478 is divided by 728?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let d be (2\/4)\/(5 - 78\/12). Which is the closest to 1? (a) d (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 8. Let u = y + 14. Let g be (-3)\/9 + (-80)\/(-6). Solve -5*n - 18 = -2*o, 2*n + u = -5*o - g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22*u**2 + u + 59. Let n(i) = i**2 + 2*i + 13. Determine a(o) - 5*n(o).\nAnswer: 17*o**2 - 9*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 65*r + 125. Let f be k(2). Suppose 14 = -a - 8. Sort 4, 2, a, f.\nAnswer: a, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = -15*b - 52 + 101 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10253923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a - 9\/4*a**4 - 1\/20*a**6 + 1\/420*a**7 + 0 - a**2 + 9\/20*a**5 + 27\/4*a**3. Factor t(h).\nAnswer: (h - 3)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txmq when four letters picked without replacement from {q: 1, t: 1, x: 2, m: 4, d: 4, w: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {q: 1, n: 1, k: 2, h: 1, u: 1, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67022597 and 1993?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-811)\/(-7))\/(121\/847) is divided by 258.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from {v: 4, u: 4, q: 6, z: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*g - 424 - 271, 2*g + 2*n = 278. Let l = g + -142. Let f(r) = -3*r**2 + 5*r - 1. Let o be f(l). Which is greater: -42 or o?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*t - 5. Suppose 2 = 5*w + t, n - 54 = 5*w. Let p = n + 1. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 283 + 101. Let v(l) = -15*l**2 - 7*l - 14. Let m be v(-3). Let k = b + m. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24514306 (base 7) to base 9\nAnswer: 4131514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + 0)*-6.\nAnswer: -12 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 4990.994.\nAnswer: -99.81988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 25*v**3 - 50*v**2 - 15*v. Let y(j) = -2*j**3 - j**2 + j. Determine -w(b) - 15*y(b).\nAnswer: 5*b**3 + 65*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 61*3 + (2 - 1)*-4. Suppose -d - 287 = 2*z. Let c = z + 460. What are the prime factors of c?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121565 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.6 and -0.0484?\nAnswer: -0.70664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.92124 microseconds to hours.\nAnswer: 0.0000000277559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 2*p + 5. Let q be h(0). Suppose 20 = 3*a + 2*a. Suppose 37 = a*d - k, -12 = k - q*k. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -1.2 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2004, 983, -1790, -7191, -16096?\n\"Answer: -146*d**3 + d + 2149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -4, 0, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**4*u**2 - 1365135*i*u**2 + 266617*u**2 - 7*u wrt i?\nAnswer: -12*i**3*u**2 - 1365135*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2340033 + 0?\nAnswer: -2340033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 346.73 and -0.1.\nAnswer: -34.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5 + 67079*f**4 - 4503264*f.\nAnswer: -20*f**3 + 804948*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/7)*v)\/v)\/(v**(-3)*v)*(v\/((v*v*v**3)\/v))**26 assuming v is positive.\nAnswer: v**(-536\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 0*h - 7 = -2*m, -148*m - 37*m + 2*h + 1486 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 158*x**2 + 154*x**2 - 313*x**2 + (4 - 1 - 1)*(-2*x - 2*x**2 + 2*x) to b*x**2 + s + j*x and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8788, -17650, -26516, -35386, -44260, -53138?\n\"Answer: -2*g**2 - 8856*g + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30894*j*v**2 - 5*j - 2*v**4 - 2*v + 32368 wrt v.\nAnswer: 61788*j*v - 8*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 8. Let w(y) = 2*y - 2. Let k(z) = -n(z) + 5*w(z). Let s(m) = -m + 2. Let o be s(0). Determine k(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(8\/6) - 153\/15 and 22\/17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24881*w - 13 = 24882*w - 4*h, -5*h = -4*w - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 0.061 (c) -10 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.68 and 0.02?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.9. Let b be 14 - (6\/(-10))\/(-1). Let q = b + -479\/35. What is the second biggest value in q, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*w. Suppose -6*r = 3*j - 7*r - 30, -4*r = j - 10. Solve w = 9*i - j*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = 2*r - 4*j, j = -2*r + 10. Suppose r*p = -u - 1 + 5, -5*p = -3*u - 16. Suppose -v = -2*v + 10. What is the smallest common multiple of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2d624 (base 15) in base 4?\nAnswer: 203301031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*b - 4588 = 1760. Calculate the remainder when 271 is divided by b.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2\/(-88)*128\/(-192).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 41*a + 2708517 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/15)\/((-1)\/3). Let u be (-2 - -2) + 0\/(-5). Solve p + j*p = u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001206 rounded to five decimal places?\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -46. What is the remainder when 17 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d - 3*d + 80*d**2 - 136*d**2 + 56*d**2 + 39*d - 23*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-44))\/(-4 + 18\/12). Sort 1, 0.06, h.\nAnswer: h, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, b: 4, h: 4, y: 1}. What is prob of picking 2 j and 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 35848319.5 to the nearest one thousand.\nAnswer: 35848000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72879, 582952, 1967429, 4663512, 9108403, 15739304, 24993417, 37307944?\nAnswer: 53120087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u - 16. What is the least common multiple of 54 - (6 - (4 - 0\/(-5))) and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 633036809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 1, z: 4, v: 2}. Give prob of sequence zz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 109145348 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5917 and 51701.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 21*z - 65. Let c(s) = -2*s**3 - 2*s**2 - 4. Let u(f) = f**3 + f**2 + 2. Calculate z*u(m) + 3*c(m).\nAnswer: -m**3 - m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 9 = 3*j, 23 - 41 + 24 = -2*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11 = -f, 4*w - 7 = -5*f + 4*f. Suppose -2*m + 14 = w. Let n(v) = 2*v**3 - 8*v**2 - 14. Does 22 divide n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459548893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 104. Let a be d*44\/(-20) + -4. Factor 0*b - a*b**3 + 0 - 2\/5*b**5 - 4\/5*b**4 + 0*b**2.\nAnswer: -2*b**3*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) -0.1 (d) -160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121100457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 11 = 147. What is the remainder when 116 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 111\/2. Let i = 104 + -108. Which is the nearest to -1\/4? (a) i (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145917 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -2 - 1\/(-1). Suppose -5 = -r*i + 15. Calculate the smallest common multiple of i and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -4970?\nAnswer: -14910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 12:55 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -270, 4, -1, 0 in ascending order.\nAnswer: -270, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 19*j = -22*j - 3, -3 = j. Sort 0, l, 2.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -71.\nAnswer: -5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/9 + 172*w\/9 + 7396\/9 = 0?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*l + 12 = -203*l - 3*y, 0 = -4*l + 3*y + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 459631*k**3*l + k**3 + 2*k**2 + 2225*k - 17 wrt l.\nAnswer: 459631*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 3*g - 2*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4799452?\nAnswer: 2, 7, 47, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79586*k**3 + 46868 with respect to k.\nAnswer: -238758*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -300, 4.\nAnswer: -300, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqth when four letters picked without replacement from mqttmhmjqt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 189002 - 5?\nAnswer: 188997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - g + 42. Let z(o) = o**2 + o + 1. Let b(m) = r(m) - 2*z(m). Differentiate b(n) wrt n.\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2970 by 3.\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 13 = -3*o + 2*o + 13*g, 0 = -5*o - 2*g + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*s**5 - 18953*s**4 + 3*s**3 + 35533*s**2 + 158*s wrt s.\nAnswer: 420*s**2 - 454872*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 + 124. Suppose -4*v - t = -8, 2*v + 2*t - 4 = -r*t. Suppose 4*g - 5 - 11 = 0. Solve -g*w + 1 + v = -3*p, -5*w - 4*p - 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + 44. Let f be r(9). Let g(t) = -5*t - 1. Let y be g(f). Suppose 0 = 4*v + y*v - 21640. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {t: 3, x: 12, e: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153813 - 153811. Factor 1\/4*j + 9\/2 - 9\/2*j**q - 1\/4*j**3.\nAnswer: -(j - 1)*(j + 1)*(j + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 56*o**2 - 24. What is g(-56)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/(-2)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*s - 5*q, -4*s - 51*q = -50*q - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + -4.09. What is the biggest value in -2, -5, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-3)*3\/(-2). Suppose 151*n - 141*n = 0. Solve n = -m - m + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Let x(l) be the third derivative of l**5\/15 - 2*l**3\/3 - 45*l**2. Does 20 divide x(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18482565 equal to 18482565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -0.2. Let x = 2 - o. Put -4, -3, x in ascending order.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*o - 17*o - 3*o + 140 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 752091*h**2 - 752091*h**2.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - 14. Let a = b + 38.5. What is the second smallest value in a, 0.54, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397343363 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: Sort 13, 2, -4, 1, 25.\nAnswer: -4, 1, 2, 13, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -3672 = -3680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3992, -30, -3, -87 in decreasing order.\nAnswer: 0, -3, -30, -87, -3992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.4. Let f(t) = -t**3 + 4*t**2 + 4*t + 6. Let q be f(5). Suppose 0 = -366*c + 3723 - 63. What is the nearest to c in q, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 18, -4, -0.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5)*((5 - -1) + -4). Factor -f*i**2 + 6\/5*i - 4\/5.\nAnswer: -2*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/16)\/8*(-1)\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 + 2*i - 5. Calculate d(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3079 (b) 2\/69 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - 12*k - 3. Give p(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*f = -22, 5*s - 24 = -5*f + 21. Solve 3*a + 6 + 18 = -s*p, 3*p - 2*a + 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -3*k**5\/10 + k**2. Suppose 7*m + 174 = 468. Let i(b) = 48*b + m*b + b**2 - 90*b. What is i(s(u))?\nAnswer: 324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {c: 9, x: 2, o: 2, v: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 13*z + 3*z + 10*z - 34*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(60)\/sqrt(5)) + sqrt(162)*-1)\/(3*sqrt(81)*3 + sqrt(81)).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -88 (b) 2\/5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 21 + 3. Let f be (-2)\/s - (-702)\/24. Suppose 0*o + f = o. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*d = -92*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/(-2)*((-630)\/16)\/(-7)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 16 = -4*f, 2*l + 7*f - 6*f - 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 913 + -926. Let j = 11.63 + 1.07. Let f = j + x. Sort 2, -4, f, 1.6 in descending order.\nAnswer: 2, 1.6, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 10581*s**2.\nAnswer: s**2*(s + 10581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 765847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615 a factor of 142427565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 167986.2t?\nAnswer: 167986200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 22. What is u(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + 4*m + 2. Suppose -40*i + i + 150 = -9*i. What is z(i)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706266 is divided by 6141?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4869831*g**3 + 33222940 with respect to g.\nAnswer: -14609493*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010000 (base 2) to base 7.\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slkjjsjkjs. Give prob of picking 2 j, 1 k, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2735 and 3282?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(-2316)\/(-12159). Let o(a) be the first derivative of 1\/2*a**2 - 2 + 1\/42*a**6 - 4\/7*a - i*a**4 + 2\/35*a**5 + 2\/21*a**3. Factor o(q).\nAnswer: (q - 1)**3*(q + 1)*(q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 - f**5\/60 + f**4\/24 + 29*f**3\/2 - 3*f**2 - 29. What is the remainder when y(0) is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/14 and -11\/137.\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 10. Solve -5*v = 5*f - 40, -8 - 8 = 3*f - l*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -37.\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -284*b**3 - 5*b**2 - 5. Let i(q) = 15903*q**3 + 279*q**2 + 279. What is 279*c(o) + 5*i(o)?\nAnswer: 279*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11199959063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11134649839588+-4\nAnswer: -11134649839592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020106595.\nAnswer: 3, 5, 13, 10359521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/3)\/k))**36*k**(-1\/15)*k**7)**(-48) assuming k is positive.\nAnswer: k**(-21824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 9*v**2 + 4*v - 70. Let o be n(-7). Suppose 11*h - 2*h - 36 = o. Find y, given that 5\/3*y**3 + 5\/3*y**5 + 0*y - 10\/3*y**h + 0 + 0*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.1, -61, 2\/7 in increasing order.\nAnswer: -61, 0.1, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*r = r - 10, -r = 2*n + 13. Let s = 2524 - 22720\/9. What is the third smallest value in s, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9620 in 2, -8, -2, 2\/7, 15, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14928967499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 - 106. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 383 = -2*o - 535, 3*q - 406 = -3*o - 4*q + 72 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 7*a - 5. Let f(s) = -s**2 + 8*s - 6. Let w(o) = -4*f(o) + 5*z(o). Let c be w(2). Let j = c - -5. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458257 is divided by 152567.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (299\/(-23))\/(-195)*12.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 11) to base 14\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 12. Suppose x*c + 6 = -b, c - 1 = b - 3. Is (-1 + b)\/((-2)\/106) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -77422, -77461, -77500?\n\"Answer: -39*c - 77383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 137694544 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 258*n - 4736. What is j(19)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -1.2299?\nAnswer: 1.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 284\/14 + 6\/(-21). Let f be 8\/s*(0 - (-27 - -2)). What is the common denominator of 1\/f*(42 - -6) and 59\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 2b5c4?\nAnswer: -2b5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14834 + 14834 + 5*o**2. Let u(c) = c**2. Give f(u(s)).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 4, z: 6, y: 4}. Give prob of picking 2 z, 1 p, and 1 y.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -103 + 118 - (1 - -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 0. Which is the second smallest value? (a) -1 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650876 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-7)\/2)\/7. Suppose -4*z = -3*p + 44, 5*p - 30 = -h*z - 2*z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0.4 (c) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h - h)*(1 - 1 - 2)*(-h + 2 - 2)*(-2*h + 1 - 1).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepepiepiip. Give prob of picking 2 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tffddfmtfmd. What is prob of picking 1 d and 1 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, -0.41, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003335 to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 5 + (1 + 1 + sqrt(13) - sqrt(117)\/(sqrt(27)\/sqrt(3)))*-2)**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**2\/2 - x - 455. Let u(k) = -6*k - 11. Give u(y) - 5*v(y).\nAnswer: -y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - a + 36. Let c(u) = 10*u + 41. Let r be c(a). Put -10, r, -4 in decreasing order.\nAnswer: r, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 7*l**3\/6 - 2*l**2 - 251*l. Suppose -2*u + a - 4 = 0, 4*a + 36 = u - 6*u. Let w(h) = -48*h + 27. What is u*w(s) - 27*o(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -45a3 (base 15) in base 2?\nAnswer: -11100110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-4\/7)\/u))\/u)\/u)\/u)**0\/(u**(12\/7)\/u*u*u\/u**(-6\/7)) assuming u is positive.\nAnswer: u**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -146*t + 112*t. Which is the closest to 6? (a) -5 (b) 1\/14 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejejjjjeejee. What is prob of sequence eje?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -46*o**5\/5 - o**4\/12 - 79*o**2 + o - 22. What is the third derivative of f(w) wrt w?\nAnswer: -1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 2*h + h)*(-2*h - 2*h + 2*h) - h**2 + h**2 + h**2 - 8*h + 8*h + 2*h**2 in the form a*h**2 + v*h + o and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.245, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/108963 and -55\/27?\nAnswer: 326889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98133 or -98131?\nAnswer: -98133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171 (base 13) to base 3.\nAnswer: 100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*n + 730*n - 1446*n = -48543 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705419 = 11633*m + 190322 for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 16 = 2*z, -2*r = -1822*z + 1823*z - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274092*-0.1.\nAnswer: -27409.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1685408695?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + -7 + 6 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373889 is divided by 13353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669002539.\nAnswer: 669002539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 20*u - 11. Suppose -4*p + 46 - 18 = 0. What is the hundreds digit of a(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsqsjjqlqjqsq. Give prob of sequence jsl.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-1 - 37\/(-7)). Suppose 2*p = -2, -i = -p + 3*p. Suppose 16 = -t + 4*s, -2*t + 4*s + s = 20. What is the closest to -2 in t, i, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2467208 + 18599*h**2 - 2467208)*(h + 0*h + h) to t*h + y + j*h**3 + g*h**2 and give j.\nAnswer: 37198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least -77517182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 49.7. Sort y, 0, 3, -30 in decreasing order.\nAnswer: 3, 0, y, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 61*v**2 - 33*v**2 - 27*v**2. Let m(i) = -10*i - 3. Calculate t(m(c)).\nAnswer: 100*c**2 + 60*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/1340820 and -76\/36099?\nAnswer: 9385740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from hxyczyhzhz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722 (base 9) in base 12?\nAnswer: -918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(11\/(110\/36))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -104.7.\nAnswer: -104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 8:37 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3637, -3638, -3639, -3640, -3641?\nAnswer: -3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/444774 and 143\/8790.\nAnswer: 2223870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 32 = -5*p, -1871*z - 5*p = -1867*z - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 52?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = 12. Let q(a) = -20334*a - 2. Let l be q(v). What is l rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-4 - -3) + 0). What is the third biggest value in 3, d, -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v**2 + v. Let k = 8 - 9. Let j be r(k). Let i be 0\/(2\/(2 + j)). Are 0 and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358.5476562372 minus 0?\nAnswer: -1358.5476562372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**6\/5 + j**3\/3 - 31*j**2 - 2*j + 35. Differentiate n(m) wrt m.\nAnswer: -24*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3367 is divided by 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2.075116.\nAnswer: -6.225348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:00 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4560427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 817341354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5340 divided by -1335.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39079 and 0.04457.\nAnswer: -39078.95543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**3*u**3 - 19*o**3*u - 1573*o**3 - o**2*u**3 - 2*o**2*u**2 - 26*o*u**3 + 539*u**2 wrt o?\nAnswer: 30*u**3 - 114*u - 9438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -0.4, 1, 67\/2, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 4)\/(2\/(-9)). Let f(u) = 7*u - 4 - 8*u**2 - u + o*u**2. Calculate f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(10\/3))**(-31)*(t**(-3\/4)\/t)**(23\/5) assuming t is positive.\nAnswer: t**(-6683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = h - 5*b, -2*h + 2*b + 12 = -14. Let x(o) = -2*o - h + 9. Let c(v) = 9*v. Let w(p) = -3*p. Let s(z) = -6*c(z) - 15*w(z). What is s(x(n))?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.4, 1\/5, -1\/2, -2488?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*3\/(-77))\/((-9)\/(-99)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4954\/4985?\nAnswer: 4954\/4985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 33. Let z be w(-10). Solve o + 11 = -z*p, o = 2*o - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + -1a?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -46*x + 4*y - 30, y = 3*x - 15 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -92. Suppose -4*d + 2*r = q + 8, -2*r = 3*d + 18. What are the prime factors of ((4 - 0) + d)*-13?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -18. Suppose -11 = 4*b - p. What is the smallest common multiple of b and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4 - 255*y**3\/4 + 735*y**2\/4 - 130*y - 45 = 0.\nAnswer: -1\/4, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, 18, 152, 350, 618, 962, 1388, 1902?\nAnswer: 2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 197.\nAnswer: -4137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k\/k**(-3\/2))**(-3\/8))**(-3\/44) assuming k is positive.\nAnswer: k**(9\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -931*u**4 - 2*u**3 - 1488*u**2?\nAnswer: -22344*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k*x**3 - 4*k*x - 305*k - 12*x**2 - x wrt x.\nAnswer: 15*k*x**2 - 4*k - 24*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 960528.\nAnswer: 960528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let c(h) = 4*h - 2. Let s(w) = -c(w) - 6*x(w). Let o be s(-2). Let q be (3\/((-3)\/14))\/o. Solve 0 = 2*d - 3 + q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, b: 2, g: 2, a: 8, u: 5}. Give prob of picking 2 b, 1 u, and 1 a.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -625 (b) 53 (c) 3 (d) -0.0154 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 16, 21, 12, -17, -72, -159?\n\"Answer: -g**3 + 2*g**2 + 14*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 755*r - 745*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1275*g - 1292*g + 2601*g)*(-4*g + 2*g**2 + 4*g + 2 - 2 - 2*g**2 + (4 - 4 - 2*g)*(g + 2*g - g)).\nAnswer: -136*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 998 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1070*c + 174*c - 160*c to j*c + u and give j.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247 + 65 - 28 - 60)*(7*a - 7*a - 8*a**2) + (-3*a + 0*a + 0*a)*(-3*a + 5*a - 4*a).\nAnswer: -1786*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/35 + 28\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1569744 and -25\/264.\nAnswer: 1569744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.82ug in nanograms?\nAnswer: 689820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/((-28)\/(-168)). Let w be 63\/(-5) + 27\/45. Let a = -10 - w. Sort 4, a, r, 0.\nAnswer: r, 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**5 - 5*p**4 + 142*p**3 - 4941*p**2?\nAnswer: -120*p**2 - 120*p + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1214 or 1215?\nAnswer: 1215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 25*t - 147. What is the units digit of p(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*i**2 - 4*i**2 - 3*i**2 + 3*i**2 - 4*i**6 wrt i?\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099491046 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37.59649 milliseconds?\nAnswer: 0.03759649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135325 is divided by 564?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**8)\/k*k**(-3)*k\/(k\/(k\/(k*k\/(k**(1\/2)\/k))))*k**(2\/17)*((k\/(k\/k**(2\/13)))\/k**(-2\/11))\/((k*k**1)\/(k*k*k\/(k**(-1\/2)*k))) assuming k is positive.\nAnswer: k**(10826\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 4)*(7*j + 0*j + 2*j) - 778 + 11*j + 19*j - 31*j to o*j + r and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2487 + -12322\/5. Let x = -1531706909\/67851615 - -1\/347957. Let s = k + x. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(143) - (sqrt(143) - 3*sqrt(143)))*-5*-4)\/(-4*(sqrt(396) + -4*(1*sqrt(396) - sqrt(396)) + sqrt(396))).\nAnswer: -25*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 91.\nAnswer: -5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9274 = -4*h + 3*n, 0 = -5*h + 9*n - 12*n + 11579. Suppose -2*q + 4654 = -3*u, 2*q + u = q + h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 12) to base 3.\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-4) - 3\/6. Let f(h) = -3*h - k - h**3 - 3*h**2 + 8 + 2*h**3. Let m = -3 + 6. Calculate f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 31*s + 11. Let r be y(-4). Let b = r - -115. Let 3*d**4 - 2*d - d**5 + 5*d - d - 35*d**b - d**3 + 32*d**2 = 0. What is d?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 112 = -4*o, 2*o - 2*b = -3*b + 56. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-84) + 299\/(-910)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.4 - 2.4. Let p = -12.05 + m. Let d = p + 0.27. Round d to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = 3*f, -3*f - 4*y + 5 = -3*y. Solve f = 2*c - i + 5*i + 14, -3*c = -i - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 32 - 4. Let b(f) = -99*f**2 - 2*f - 1. Let s be b(-1). Let y = s + 238. Calculate the greatest common divisor of y and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (612*w + 5*w**3 - 594*w + 3*w**3)*(-2 + 2 + 2) to y*w**2 + u*w + m*w**3 + p and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6286 and 6594?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by 3?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(-3 + 6 - 2)*((-5 + 5 - 3*c**2)*(0 + 1 + 1) - 84*c**2 + 196*c**2 + 274*c**2) + 3*c**2 + 0*c**2 - c**2 + (0*c + 2*c - c)*(1 - 3*c - 1).\nAnswer: -761*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - h. Let c(x) = 3*x**2 - 6*x. Determine -c(v) + 6*n(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(168)*3)\/sqrt(8) + sqrt(21)))\/((sqrt(726)*-5)\/sqrt(2)).\nAnswer: -16*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = l + 4*b, 0 = 4*l + 3*b - 33 + 18. Solve -5 = -3*n + l*n - y, 5*y - 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -890.\nAnswer: 1\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1295, -2677, -4151, -5711, -7351, -9065?\n\"Answer: a**3 - 52*a**2 - 1233*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 521*r + 30691. Give d(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(21)\/((sqrt(567)\/sqrt(9) + sqrt(63))\/sqrt(9)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(35)\/sqrt(20)) - (3*sqrt(200))**2*-1.\nAnswer: 2*sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-176)*(-140)\/(-56) and -99\/256?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 4*f**2 - 4*f + 2. Let l be (24\/12)\/(6\/(-9)). Suppose 0 = -i + 3*i. Let n be 3 + 5 + i + l. Give j(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 4147*a**2 + 66698*a - 26016.\nAnswer: (a - 813)*(a - 16)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-8 + 1 - (-1 - 1*-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -8*y - 85. Let t = 5 - 12. Let w = t - y. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t**2 - 5*t + 17. Let b be l(7). Suppose 4*y - 5*v - b = 488, -4*y - 4*v = -1312. What are the prime factors of y?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3693437812 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 19*j - 87. Let d be h(9). Let x = -735\/88 - -96\/11. Sort -5, d, x in ascending order.\nAnswer: -5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m + 1. Let s(d) = d + 1. Suppose 20*k = 39*k + 19. Give k*w(a) - s(a).\nAnswer: a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -173, -1414, -4789, -11366, -22213?\n\"Answer: -178*m**3 + m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - -5) - (-1 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, k: 4, o: 1, f: 6}. Give prob of sequence kiik.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2. Let v = 11 - 8. Suppose 5*w + k = 5*k + 26, -v*k = 12. Let u(g) = w*g - g - 3*g. Calculate u(t(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-29)*i)\/(i*i**(-7)))\/((i\/i**17)\/i)**(-20))**(-39) assuming i is positive.\nAnswer: i**14118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -632\/20355 or -1?\nAnswer: -632\/20355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*-2*1*sqrt(77))\/(3*sqrt(700) + -1*sqrt(7)*-5).\nAnswer: -12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14888 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:38 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**3 - 68970*d**2 + 690075*d - 1725500 = 0.\nAnswer: -13804, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/165 + -818\/1155. Let o be 4\/(-6)*(-48)\/(-32). Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-52)*1*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 16*q**2 - 23*q + 153. Let p be t(16). Suppose -3*w + 325 - 101 = -c, 0 = c + 2*w + 209. Is p smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 4. Let h be t(-3). Let o be (8\/(-3))\/(h\/30). Suppose -r + 38 = -o. Calculate the remainder when r is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35497 divided by 10?\nAnswer: -35497\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 9:38 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 9. Let m = 1 - 1.05. Suppose 20*o - 474 = -474. Which is the closest to o? (a) -0.4 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 36, 49?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 - q + 8. Let r(z) = -3*z**2 - z + 1. Let s(p) = -13*p**2 - 4*p + 5. Let c(h) = -4*r(h) + s(h). Determine 6*c(f) - x(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from zhhhhchhchhhhhhchczc?\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*v = 216*v + 104. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5560 divided by 167.\nAnswer: 5560\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 + 4*w - 7. Suppose 4*r - 1 = g + 5, 5*r + 30 = -5*g. Let l be x(g). Suppose 3*h = 2*p + p - 84, -p - l*h + 58 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1, -2, 0.25, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -15*u - 1463. Determine p(-59).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 1.4. Let u = -13 - -10. What is the nearest to h in u, 2\/9, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/12 - l**2 + 2*l. Let a(q) be the first derivative of f(q). Let k(r) = -2*r. Determine k(a(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 33*f - 327. Suppose -94*s + 2 = -j - 96*s, 0 = 2*j - 3*s - 38. Give g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20101111220211 (base 3) in base 16?\nAnswer: 33d027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884701, -1769407, -2654113, -3538819?\nAnswer: -4423525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/(3200\/1152)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 4001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -2\/15*y**5 + 0*y + 0*y**3 + 0*y**4 + 0 + 197*y**2. Let h(r) = -3*r - 1. What is l(h(q))?\nAnswer: -72*q**2 - 48*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/7, 3\/83, -5, 5 in increasing order.\nAnswer: -5, -2\/7, 3\/83, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20395144 divided by 4\nAnswer: 5098786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 divided by 40?\nAnswer: 1043\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -4 (c) 2 (d) 7\/1683 (e) -0.3 (f) 3\/5 (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22359 is divided by 188?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 19*u + 80. What is a(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 308231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0098821 to four dps.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 4021576.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Let v be (118\/5)\/(x\/15). Is (-3 - 7\/(-2))*v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*d**5\/7 - 2140*d**4\/7 + 36395*d**3\/7 - 174050*d**2\/7 + 242644*d\/7 - 45720\/7 = 0. Calculate d.\nAnswer: -254, 2\/9, 2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 40 = 5*w, -4*w + 57*d + 37 = 52*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, 1\/6, 218.\nAnswer: -4, -2\/3, 1\/6, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/54089 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 1. Let k(o) = -7*o + 3. Let g(f) = 2*j(f) - k(f). What is the tens digit of g(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -9, 2, 17, 36, 59, 86?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyrwwrwjjr. Give prob of picking 1 j and 1 w.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64753.69 litres?\nAnswer: 64753690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2384 divided by -308164?\nAnswer: 596\/77041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 169*w + 15217. Determine k(65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4 - 17*l**3 + 19*l**2 - 13*l**4 + 12*l**2 + 7*l**4 + 12*l**4 - 15*l = 0. What is l?\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044624631 plus 4?\nAnswer: 4.044624631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, 11\/4, -5, 0.02, 3, -3, -14?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 810.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -38 (b) -0.5 (c) -0.1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 900*v**2 - 50*v. Let t(k) = -53*k**2 + 3*k. What is -3*o(x) - 50*t(x)?\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 + 1 - 1)*(3 - 11*z - 3) - 3*z**4 + 6*z - 6*z to y*z + f + x*z**4 + u*z**2 + a*z**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/(n*n*(n\/n**(-34)*n)\/n*n) assuming n is positive.\nAnswer: n**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011487 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 8:30 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**7\/2520 - 3*c**5\/40 + 25*c**4\/24 - 41*c**2. Let t(g) be the second derivative of r(g). Factor t(l).\nAnswer: (l - 3)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(28)\/(sqrt(32)\/sqrt(32))*5 + ((sqrt(14)\/sqrt(2))**2 + 3 - (5 + (sqrt(7) - ((sqrt(7) - sqrt(14)\/sqrt(2)) + sqrt(7))))).\nAnswer: 1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**2 - 34*p**2 + 97*p**2 - 28*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 7) to base 14\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 263 = -207. Let c = -55 + h. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152767 times -4\nAnswer: 611068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 + 10*q + 3. Let c be s(2). Put 0, 3, c in decreasing order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 41 + 22 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nko when three letters picked without replacement from {k: 5, n: 3, s: 4, e: 5, u: 1, o: 2}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 7*l**2 + 5*l - 3. Let q be b(-5). Let x be q*1 + -2 + 5. Suppose 0*m = -5*m + x. Solve 0 = 2*f - m*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.1, -6, -5, 9, -18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, o: 2}. Give prob of sequence coc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/10 - 2\/(-4). Suppose x*y - 8*y = -j + 2, -4*y = 4*j - 8. Solve 3*f + 2*f + 5*a = -5, 0 = -j*a + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 38. Let z = 14 + 53. What is the remainder when z is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47334525 divided by 29?\nAnswer: -1632225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*2)**2 + 1 + 5)*-3 + (-5*(3*(sqrt(1331) + -2*sqrt(1331)) + sqrt(1331)))**2.\nAnswer: 132950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4131720 and 432?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-28\/9)\/f*f)\/((f\/f**(-28))\/f) assuming f is positive.\nAnswer: f**(-271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j**6 + 0*j + 1\/90*j**5 + 0 - 13*j**2 - 7\/180*j**7 + 0*j**4 + 0*j**3. What is h in q(h) = 0?\nAnswer: -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131760 and 600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3337910 + 2?\nAnswer: 3337912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 10. Let y(q) = -2*q**3 + 9*q**2 + 5*q - 1. Let v be y(5). Suppose 0*m + 2*m = 98. What is the remainder when m is divided by l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-21))\/(24\/(-9)). Let j = 3756 + -499572\/133. Let f = 2\/19 - j. Which is the fourth biggest value? (a) 3 (b) 9 (c) m (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17186 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -13*g - 2. Let d(w) = -25*w - 3. Calculate 3*d(b) - 5*u(b).\nAnswer: -10*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 1\/6*r**6 - 9\/20*r**5 + 1\/8*r**4 + 1\/4*r - 3\/4*r**2 + 2\/3*r**3 - 6. Solve n(a) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*f = -5, -g = -4*f - 0*f - 4. Suppose g = -l - 28 + 73. Is l greater than or equal to 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/506160 and -181\/22800.\nAnswer: 2530800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 10*z + 19. Calculate the least common multiple of 24 and q(-11).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/51))**(-1\/47)*(a**(-2\/23))**21 assuming a is positive.\nAnswer: a**(-100628\/55131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:11 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 353550 and 900.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 294, -422.1 in decreasing order.\nAnswer: 294, -0.4, -422.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - l - 3*l. Let b(x) be the first derivative of 0*x - 1\/3*x**3 - 3 + 0*x**2. Give b(p(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*j**2 + 86 - 86)*((3 - 1 + 0)*(-5*j + 4*j + 2*j) - j - j + 3*j + 7*j - 146*j + 10*j) as n + d*j**3 + h*j + m*j**2 and give d.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3398213\/108 - 31464. Calculate the common denominator of k and 43\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1216))*-5.\nAnswer: -40*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 16) to base 13.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -37, 2, -2, -5 in descending order.\nAnswer: 2, 1, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.84 - 13. Let k = 3.84 - p. Which is the nearest to -2\/7? (a) -5 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38580970, 38580978, 38580986, 38580994?\nAnswer: 38581002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*l = 4*l - 1008398, -4*f = -3*l + 806714. Let p = f - -128980. Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6*z + 5*z + 341 = 0, -5*z + 345 = 4*b. Calculate the highest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 2*f + 155*f**3 - 170*f**3 + f**2 to the form i*f**2 + k*f + p*f**3 + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/57*(-16 - -1). Suppose -128*x = 44*x - 4472. Solve -x*g + v*g - 12 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/1*(-5)\/(-5). Let a = h + 2. Let n be a*5*6\/15. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 61*v**2 + 13*v - 77. Let w be b(6). Let a = w - 1044. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**6\/1620 + 31*b**5\/540 + 5*b**4\/18 + b**3\/6 + 16*b**2 - 30*b. Let p(l) be the second derivative of u(l). Factor p(i).\nAnswer: 2*(i + 1)*(i + 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:19 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*711.184.\nAnswer: -711.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 222 = 0. Suppose 0 = -4*b - 2*p - 2*p + 152, 3*b + 2*p - c = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*w + 2*l + 789, w + 4*l = 287. Let t(k) = -10*k + 2. Let a be t(-3). Let o = w - a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.038 + 0.0046. What is f rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u - 84 = 312. Which is the third smallest value? (a) 6 (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 154\/(-10) + 2\/5. Let h = 18 + k. Is (h + -3 + 1)*233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383966539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t + 7*t**5 + 9*t + (-63*t**5 + 7*t**5 + 4*t**5)*(0 + 5 - 3) - 6*t**5 + 2*t**5 + 5*t**5.\nAnswer: -96*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -443*n**2 - 1 + 1757*n**2 - 438*n**2 - 437*n**2 + 4*n - 442*n**2. Let a(m) = -3*m**2 + 5*m - 1. Let k be ((-4 - 9) + 3)\/2. What is k*v(x) + 4*a(x)?\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/294576480 and 93\/681890.\nAnswer: 294576480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.09 * -0.03359\nAnswer: 0.1373831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 8*r**2 + 9*r + 16. Let p be h(-7). Suppose 0 = s - p*s - 3*k + 156, 3*k = 3. What is the highest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 266, 0.5, -2, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -27 - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfnfwwwhnwhnwhwwhnww. Give prob of sequence nw.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 104 = 3*r, -j + 3*j + 146 = 4*r. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 4, m: 3, p: 8, q: 2}. What is prob of sequence ppp?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 461 - 62*r**3 - 864 + 207*r**3 + 201*r**3 + 429 in the form y*r + s + a*r**3 + v*r**2 and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-11653218\nAnswer: -11653218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 3. Let v(j) = -19*j + 114. Let l be v(6). Let c be k(l). Solve u + y = -2*u, -c*y = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + 593828.\nAnswer: 593925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, 3, -380\/11 in increasing order.\nAnswer: -380\/11, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*m**2 - 2*m**3 + 43*m**2 + 7*m + 39*m**2 + 2 to t + k*m**3 + v*m + i*m**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96490.58 millilitres?\nAnswer: 96.49058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170664570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/36 and 25\/78.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**6\/60 - r**5\/40 + r**4\/8 - r**3 - 6*r. Let w(v) be the second derivative of l(v). Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 3*p**3 + 2*p**3)*(0 - 2*p + 0 + (3 - 4 - 1)*(-2*p + p - 2*p)) + 6*p**4 + 7*p**4 - 6*p**4.\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (44 - (45 + 39))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q\/q**(-2\/41)*q))*q**(-27) assuming q is positive.\nAnswer: q**(-1023\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63277063 to the nearest integer?\nAnswer: 7955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h**2)*(-3 + 1 + 0 + (1 - 1 - 2)*(-3 + 0 + 1)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304546937.\nAnswer: 3, 434848979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37998 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-40)\/(-18) - 0. Let y = 45.6 + -46. What is the third smallest value in y, -3\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -58. What is the remainder when 109 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-420))\/(7\/(-105)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3203030 + 20002?\nAnswer: -3123022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-8))**(-2\/23)\/(h**(-5\/6)\/(h\/(h**3*h*h))) assuming h is positive.\nAnswer: h**(-545\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42950 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-4) + (-14)\/28. Suppose g - 16 = 4*k, 2*g - 16 = g - k. Let p = g + d. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*a + 32*a + 77*a + 25*a + 7*a**2 - 6*a**2 + 34*a.\nAnswer: a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-17)\/(r*r**9) assuming r is positive.\nAnswer: r**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 9, 25, 27, 3, -59, -171, -345?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46979209 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135.215 + 0.215. Let r = 226 + q. Let b = r - 91.00000105. Round b to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c + 3*c)*((-2*c - 3*c + 6*c)*(-4*c + 4*c - c) - 7*c**2 + 0*c + 0*c).\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -5*m. Suppose -3*n - f + 2 = 0, -5*f = -m + 21. Suppose n*t + b = 22, t - 3 - 3 = -3*b. What is the greatest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -60961?\nAnswer: -60957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57718154, 115436313, 173154472, 230872631, 288590790?\n\"Answer: 57718159*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:30 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*y = 3*j - 23, -3*j + 19 = -2*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 3*h**2 - 2*h**2)*(455*h**2 + 86*h**2 + 514*h**2 + 680*h**2).\nAnswer: -6940*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103.9999974 + 104. What is f rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 - 238 - 3*n - 225 - 229 - 5*n + 690. Determine i(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -264*h**2 + 11*h - 15. Let w be t(9). What is w rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1529 and 1529 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 6\/7, 50\/23, -0.4?\nAnswer: 50\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - u = -3*u - 6, 5*g + 2*u - 10 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*n = 10, -9*o = -4*o - 5*n - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 26*q + 340. Let n be m(-13). Let p be 9\/(-12)*-12 + -4. Solve -p*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -45. Suppose -v*n + 4*u + 8 = 0, 0*n + 4*n + 4 = u. Let r(a) = -8*a - 2. Give r(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (22 - 1 - 5) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b + 21. Let a be o(-6). Solve -19 - 4 = -5*m + a*g, g = -m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -3*j + 197 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - r - 2 = 0, 5*r + 0*r + 17 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3 - 7. Let o be -15*10\/(-1725) - (744\/92)\/1. Which is the biggest value? (a) f (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1216) + sqrt(1216))*4 + 2*sqrt(171)\/(sqrt(18)\/sqrt(2)) + -5)**2*1 + -2.\nAnswer: 396*sqrt(19) + 82771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2 - 14*q**3 + 3*q**2 - 3*q**2 - 3 + 4. Let j(p) = -99*p**3 + 22. Calculate 22*g(t) - 3*j(t).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0522 + 348.0522. Let k = 348.00000985 - d. What is k rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w, 2*w + 23 = y + 7*w. Which is smaller: y or -5\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuuuutummftmfmuuu. Give prob of picking 1 u and 1 m.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4*(sqrt(156)*-2 + sqrt(156) - sqrt(156)))\/sqrt(12) - (sqrt(1872) - -1*-1*sqrt(1872))).\nAnswer: -8*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.153 - -0.043. Let d = t - 21.89. Sort 4, 0, d in ascending order.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o**2)*(-o**3 + 0*o**3 + 4*o**3) + 0*o**2 + 2*o**4 - 4*o**5 + 0*o**2.\nAnswer: -o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - l + 0)*(7*l**2 - 2*l**2 + 5*l**2 - 1) to the form n*l**2 + a + f*l**3 + b*l and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(140)\/(sqrt(28)\/sqrt(4)))\/((1*sqrt(100) - sqrt(4)) + sqrt(4)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.565 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3262 + -9134?\nAnswer: -12396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2729, -1410, -5549, -9688?\n\"Answer: -4139*k + 6868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 2495*o**2\/4 - 1821929*o\/4 + 5488215\/4.\nAnswer: (o - 3085)*(o - 3)*(o + 593)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36500 and 851380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*r + 11485 + 10493 = 379*r for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -2*l**8\/147 + 8*l**7\/735 + 23*l**6\/420 - l**5\/35 - 3*l**4\/28 - 579*l**2. Factor u(w).\nAnswer: -2*w*(w - 1)**2*(4*w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*z - 94 + 4, 23 = -z - 2*j. Let n(v) = -18*v + 72. Is 9 a factor of n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/614387 - -1423534701\/6758257. Let z = y - 211. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) + (sqrt(576) - (sqrt(576) + (sqrt(576)*-1*5 - sqrt(576)))))\/(sqrt(16)\/(sqrt(8)\/sqrt(4)) - sqrt(16)\/sqrt(2)*-3) + -5 + -3.\nAnswer: -8 + 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 4*l + l)*((-2*l - 3*l + 4*l)*(4*l**3 - 2*l**3 - l**3) + 2*l - 3*l**4 - 2*l + 2*l**4 - 5*l**4 + 5*l**4).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 22*q**3 - 20*q**2 - 11*q + 14. Let w(x) = 11*x**3 - 11*x**2 - 6*x + 8. Determine 5*a(f) - 9*w(f).\nAnswer: 11*f**3 - f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + (-2 - -4). Suppose 5*p = v + 5, 5*p + q*v - 1 + 11 = 0. Suppose -299 = -6*r - 7*r. Solve -2*i + 5*a = -r, -i + 5*i - 2*a - 6 = p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 705 and 10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = z - 11, -2*z + 3097*v = 3096*v - 13 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68, -224, -466, -794, -1208?\n\"Answer: -43*t**2 - 27*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -3 + (-1833)\/2. Let d = u - -897. Calculate the common denominator of -73\/4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)*t**(2\/9)*(t**0)**23)\/((t**(2\/7)\/t**(3\/2))\/(t**(-1\/2))**(-1\/11)) assuming t is positive.\nAnswer: t**(5828\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9440.513 weeks?\nAnswer: 5709622262.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 5. Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b + 2 - 2 + (0 - b + 0)*(1 - 4 + 1).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 3 - (-1 + -1)) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 72 = 93. Suppose -f*c = 2*c - 51030. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.6201069 seconds to weeks.\nAnswer: 0.00003574753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105214173 to the power of 1\/2, to the nearest integer?\nAnswer: 10257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85636 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 8)*1 + (-25)\/(15\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.344552 to 3 decimal places.\nAnswer: 2.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 6*o - 35. Solve 12 = 3*k + o*j, -j + 3 = 3*k - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 4:17 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8581, -22381, -73985, -146231, -239119?\n\"Answer: -10321*s**2 + s + 18901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -43*d + 46. Suppose d = v + 4*k, k = -4*v + 12 - 4. Solve 0 = -3*u + 11 - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + z - 3 + 4.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q - 3 = 0, p - 5*q - 16 = 0. Let x(l) = -3*l**2 + 4*l. Let d be x(6). Let c be d\/(-41) + (-4)\/2. Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -3, -5 in ascending order.\nAnswer: -5, -3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**4\/7 - 400*n**3\/7 + 7892*n**2\/7 - 7488*n\/7 = 0.\nAnswer: -117, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12435345277 rounded to 3 decimal places?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 4)*(-3*i - 2 + 2)*(-4*i + 2*i + i) + 5*i**2 - 2*i**2 - 2*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8. Let l(c) = c**2 - 4*c - 2. Let v be l(j). Suppose y - 6 = -y. Solve 4*m + 5*i = 2*i - 7, -y*m = -v*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**8\/10080 + p**7\/1260 + p**6\/90 - 2*p**5\/15 + 2*p**2. Let r(t) be the third derivative of v(t). Is r(-6) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Let d = -1.1 + -2.9. Let k = d + 6. Is k at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + 160. Calculate the remainder when s is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let i(m) be the third derivative of -m**5\/12 + 4*m**2. Give c(i(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64282692 by 2.\nAnswer: 32141346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhqaqhhrhrjhddhhh. What is prob of sequence hh?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -3, -9093, -1, -66, 5 in decreasing order.\nAnswer: 6, 5, -1, -2, -3, -66, -9093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 14 (b) 20 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16698726 or -16698727?\nAnswer: -16698727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 28*i - 67. Let h be ((-5 + (-338)\/(-65))\/(-1))\/((-1)\/155). Calculate m(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47435630 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*o**2*x - 232730*o**2 - 16*o*x - 19468*x wrt o?\nAnswer: 14*x - 465460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 70 + 19\/2*i + 1\/4*i**2 = 0. What is i?\nAnswer: -28, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n = 156 + 45. Suppose 3*x = 8*x + 20. Let j be -2 + x + (8109 - n). Round j to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*y**4 - 1168*y**3 - 112*y**2.\nAnswer: 4*y**2*(y - 14)*(21*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69299370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 10. Is 12 a factor of (-276)\/(-9) + (-2)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41120365*m**3 - 6871*m**2 + 4*m + 6 wrt m.\nAnswer: 246722190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-20))\/(12\/30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (4 + -4 - -3 - (-33 + 25))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1620) - ((sqrt(1620) - (-2*sqrt(1620) - sqrt(1620)))**2 - sqrt(1620)).\nAnswer: -25920 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 5*o**3 + 12*o**3 + o**2 + o - 4*o**3 - 6*o**3 as n*o + h*o**3 + w*o**2 + z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1334 - 48. Is (-50)\/325 - 2\/(52\/i) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13453*u**2 - 13475*u**2 - 13432*u**2 + 40359*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12012*q = 11745*q - 6675 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 931 + -928. Let d = 1 + -1. Which is the nearest to d? (a) 0.4 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 141*y**2 + y + 1. Let f(s) = -4*s**3 + 426*s**2 - 10*s + 2. Let j(z) = f(z) + 3*t(z). Calculate j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177907 smaller than -177897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/5 + 2\/(-5). Let c(a) = -2*a**2 + a. Let z(p) = -3*p**2 + p. Let j be (29 - 33)*10\/(-8). Let d(g) = j*c(g) + u*z(g). Give d(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 16 = 7*c. What are the prime factors of (((-6)\/c)\/(-1))\/((-3)\/(-216))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003639 to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*m + m + 10 = 0, -4*w = -5*m - 7. Solve -w*g - 6*g**2 + 0 - 3\/4*g**4 - 15\/4*g**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093 a factor of 1851602022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9701 and 4142.\nAnswer: 368638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53290438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -3. Let v = 5 - q. What is the second derivative of r + 0*r + 0*r - r**4 + v*r**4 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 - -4. Let h = 0.5 + l. Let q = 6\/13 - 92\/143. Which is the biggest value? (a) q (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.6. Let l(a) = -a**2 + 5*a - 5. Let r = 0 + 5. Let s be l(r). What is the smallest value in s, p, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083940 (base 10) in base 6?\nAnswer: 35122124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from wvnwaawwwvnaannvw?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31733869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = r - 6*r - 20, -2*v = -r - 4. Suppose 2*k + v = 4. Let s(i) = i**2 - 3*i. Determine s(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1044 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 87*c + 433. Calculate d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -270, -411, -556?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 52*t + 141*t = -19*t + 10416 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 34 = -v, 543*m + v = 539*m + 38. Solve -k + 3*y - 5 - m = 0, -2*k = 5*y - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -25*n - 2212. Give h(-88).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + w**2 - 19 - 3*w + 11 + (w + 4*w - 3*w)*(-4*w + w + w) to the form v*w**2 + k*w + g and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(-2*sqrt(192)) - sqrt(34)\/(sqrt(2) + sqrt(4)\/sqrt(2))*3.\nAnswer: -13*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -454*u + 446*u - 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-18)\/((i*i**(-2\/3)*i*i)\/i)**28*((i\/i**6)\/i*i\/i**(-4)*i)\/(((i\/(i*i\/(i\/(i**(-3\/2)\/i))))\/i)\/i**(6\/7)) assuming i is positive.\nAnswer: i**(-2351\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 350 + 80. Let r = -60 - p. Find the common denominator of r\/32 - 3\/6 and -71\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 22*x - 46. Let v be a(19). Let i be v\/((-88)\/12)*(-301 + 1). Suppose 5*o - i = 65. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*d**4 + d**2 + 197.\nAnswer: -3528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -5*m + 2*f, -56 = -3*m - 4*f + 4. Suppose -3*j - 3 = -21. Suppose -p - u + 1 - j = 0, -u = -5*p + 5. Solve 5*b - 2 = -q - 13, p = 4*q - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srrt when four letters picked without replacement from {l: 4, i: 1, r: 5, a: 1, s: 4, t: 3}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + x. Let d be v(-1). What is the third derivative of 47*a**d + 84*a**6 - 22*a**6 + 14*a**2 + 21*a**2 wrt a?\nAnswer: 7440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -212. What is the lowest common multiple of ((-5)\/3)\/((-95)\/m) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1053 + -367. Suppose 0 = -5*w + 10*r - 11*r + 1701, 2*w - r = z. What is the highest common factor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**4 + 11*s**3 + 5834*s**2 + 239845.\nAnswer: 4*s**3 + 33*s**2 + 11668*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18962+86858354057\nAnswer: 86858335095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4410, -4437, -4464, -4491, -4518?\nAnswer: -4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 2*i + i)*(16*i**2 - 10*i**2 - 13*i**2) to the form f*i + q*i**2 + a + d*i**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -24805122?\nAnswer: -2976614.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a5 + -241b?\nAnswer: -1b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/2, 328, 0.2, -0.3, -6\/11 in descending order.\nAnswer: 328, 4, 0.2, -0.3, -1\/2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, 330, 0, 4, -1.\nAnswer: -1, 0, 4, 186, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 5*b + 35. What is the second derivative of 4*x - x**2 + b*x**2 + 14*x - 9*x wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 50808*h - 161340804 = 0. Calculate h.\nAnswer: 6351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffjjjjfjjjf. Give prob of sequence fjf.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9064529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4216*h**2 - 26786 wrt h?\nAnswer: 8432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 16}. Give prob of picking 2 j.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 662641*g. Let y(n) = -n**2. Calculate u(y(d)).\nAnswer: -662641*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30d1 + -cba3?\nAnswer: -9ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179842, 3, -7, 7 in descending order.\nAnswer: 179842, 7, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2001*a**2 - 16. Let d(k) = -1984*k**2 + k - 15. Let c(z) = -4*d(z) + 3*x(z). Find the second derivative of c(y) wrt y.\nAnswer: 3866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8078\/18913 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1917 + 1610. What is the second smallest value in f, 2\/3, -0.5, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 15. Let v be m(-6). Let j be (6\/v - -2)\/((-6)\/(-9)). Solve -1 + 21 = -j*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(x**3 - x + x) - 2*x**3 + x**3 - 3*x**3 - 21*x**2 - 2*x - 2*x**3 + 3*x + 24*x**2.\nAnswer: -4*x**3 + 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -43. Let x = 39 - h. What is the remainder when x is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92.3000012579 - 92.3. Round y to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 2*x + 3. Let h be i(-2). Suppose c - 4*c - h = 0. Sort c, 3, -3.\nAnswer: c, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(20) + -2)**2 - (sqrt(405) + (sqrt(405) - (2 + 1 + sqrt(405))))**2)*4.\nAnswer: -1572 + 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 24\/(-22))\/(-1). Let x = -5531\/6 + 917. Let n = x - -5. Sort 1\/8, n, o in decreasing order.\nAnswer: n, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1. Let u(l) = -l**2 + 4*l + 1. Let v be u(5). Let r(z) be the first derivative of z**2 - 4*z - 71. Let o = -501 - -500. What is o*r(c) + v*w(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -1.4. Let f(u) = u**2 + 6*u + 7. Let z be f(-5). Suppose 0 = -t + z + 2. Which is the smallest value? (a) l (b) 2\/5 (c) -0.2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b + 39*b - 103*b + 33*b + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73716, 73802, 73888, 73974?\n\"Answer: 86*p + 73630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose 6 = s*d - 0. Solve -4*r - 2 = -d*k, -5*r - 4*k - 33 = 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26413161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/31396674 and 1\/72?\nAnswer: 376760088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 32*c**2 - 22*c - 539. What is the remainder when w(24) is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -2 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Suppose 471*u - 51*u - 420 = 0. Which is the nearest to -0.06? (a) u (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 m when four letters picked without replacement from {z: 2, m: 5, i: 13}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*m + 9*m. Let r be (-1)\/(4\/(12\/(-3)))*-6. Let k be (r - -4) + (-10)\/m. What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410719 is divided by 34222?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - 5\/2. Let i = 0 + -0.3. Let f = i + 0.8. What is the second biggest value in m, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 10. Let l(a) = 20*a - 29. Let s(q) = 17*i(q) + 6*l(q). Let y(g) = -2. Let x = 8 - 4. Suppose -d - 1 - x = 0. Determine d*y(v) + 2*s(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l - 4*l + 3*l**4 - 3*l**2 - 12*l**4 wrt l.\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/185180 and 87\/74072.\nAnswer: 370360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 16*x**2 + 5*x + 24. Determine j(-15).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**9*c))\/(c\/((c*c*c**(-9)*c)\/c)))**(1\/42) assuming c is positive.\nAnswer: c**(-19\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12956, 25835, 38716, 51599, 64484, 77371?\n\"Answer: k**2 + 12876*k + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653558395?\nAnswer: 5, 7, 18673097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -67. Solve -b*t + l = 13, 0*l = 2*t - l + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -204274008.25000766 - -204274006. Let j = b + 2.25. What is j rounded to 7 dps?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 43?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - a + 1 - 2 = 0, -3*a = 5*i - 1. What is the remainder when 13 is divided by 3 + 2\/(i\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.23, -2, 3, -0.7?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiq when three letters picked without replacement from {q: 10, i: 9}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 4. Determine p(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043312.46 rounded to the nearest ten thousand?\nAnswer: 3040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1629\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1058901199407923+4\nAnswer: -1058901199407919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -14. Suppose 0 = -j + 11 - n. Let o = j + -7. Solve -12 = -y + 3*d, -4*d + 0*d - 20 = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14915029?\nAnswer: 233, 64013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + 332. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-936 + 935)\/(2 - (-5)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*q = 470*q + 228 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 1 o when three letters picked without replacement from {i: 2, m: 2, f: 1, u: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, n: 1, f: 6, h: 2, m: 3}. What is prob of sequence fhmn?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 3*x**5\/10 + 3*x**4\/8 - x**3\/2 - 31*x**2. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9157.\nAnswer: 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-6))\/(-17*105\/1190)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c - -3019?\nAnswer: 2c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -19.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, f: 1, r: 1, q: 1}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 25800*d**4 - 804040*d**3 - 2932230*d**2 - 3555565*d - 1401570 = 0 for d.\nAnswer: -27, -2, -1, 5191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -475 + 949\/2. What is the biggest value in 0.3, u, 0.18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107504718 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*(1 + sqrt(180)) + -3))**2.\nAnswer: 192*sqrt(5) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -17. What is the highest common factor of 5 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:12 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115*x + 140 = 1150*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -365535.058 to the nearest one thousand.\nAnswer: -366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20333504 (base 6) to base 8.\nAnswer: 2174220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 1589 - (1 - 15)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10*b - 52. Suppose 4*d + 212 = 4*x, -2*x + d = -3*d - 108. Suppose 2*s + 0*f = -4*f - x, 3*s = -2*f - 58. What are the prime factors of q(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**23\/l)\/(l**13*l) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 15*p**2 - 11*p + 33. Let r(h) = 8*h**2 - 6*h + 18. Let n(l) = 6*c(l) - 11*r(l). Let t(u) = -15*u**2 + 3*u. Give n(t(d)).\nAnswer: 450*d**4 - 180*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -96*d - 5760. Let v be j(-60). Factor v + 12\/7*c - 2\/7*c**2.\nAnswer: -2*c*(c - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:49 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 bigger than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 101*l**3 + l**2 - 2*l - 1. Let c be s(-2). Let t = 1198 + c. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 47*j - 8. Let s(l) = -l - 1. Let t(p) = b(p) + 5*s(p). What is the tens digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -73. Solve g*a - 24 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:43 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtt when four letters picked without replacement from tttttjttttjjttjtjt.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13)\/m)**(4\/25)\/(m**(-26)*m**(17\/3)) assuming m is positive.\nAnswer: m**(3929\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*v + 36 = 172*v. Let j be (v - 66\/(-18))*-3. Solve -j*i + 16 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 642*d**2. Let k(y) = 31459*y. Calculate g(k(o)).\nAnswer: 635367293202*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (43 + -8 + (16 - 10)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*q + 16 = 0, 2*g + q = 6 + 6. Calculate the common denominator of g\/(-10) + 1311\/240 and -7\/92.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11) + -2)*-6)**2.\nAnswer: -216*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 277, 548, 833, 1138, 1469?\n\"Answer: y**3 + y**2 + 261*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 108 = -135 + 33 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 15*r + 35. What is the lowest common multiple of t(16) and (-4)\/14 - 46\/(-14)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/4 - 79*d\/2 - 61359\/4 = 0.\nAnswer: -181, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = 3*c - v, 5*v + 15 = -5*c. Let q be c - (-1)\/3*-3. Let d be -1*2\/((-4)\/(-6)). Put q, d, 1 in increasing order.\nAnswer: d, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2680693544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12648 - -12648.3. What is the nearest to y in 3.4, -9, -3?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -1.89.\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + r = -2*r + 146, 3*f - r + 212 = 0. What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32763 at most -32764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x**2 - 3*x - 2*x**2 + 3*x)*(-3*x - 13*x - x + (-2 + 5 + 0)*(-1 + x + 1) + 0*x + 2*x - 6*x) in the form a*x**2 + b*x + d + j*x**3 and give j.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:58 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 6*u = 252. Solve -12*t + u*t - 15 = 0, 12 = 5*h - 4*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 294394472 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392 by -107.\nAnswer: -392\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (14 - 9))\/(-1). Sort 3\/41, g, -2\/5, -3.\nAnswer: -3, -2\/5, g, 3\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -200*w**7 + 176*w**3 + 1136. Find the third derivative of m(n) wrt n.\nAnswer: -168000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64725375?\nAnswer: 3, 5, 11, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3924, -3917, -3910?\n\"Answer: 7*v - 3931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -260*i + 6998. Calculate c(27).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + c - 30 = 0, 0 = -q - 3*c + 8*c - 10. Let l be (15\/q)\/(6\/8). Let j be 1*(l + 0 + 15). Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 19*v**3 - 5*v**2 + 3*v + 3. Let f be l(3). Suppose -3*i = -3*a - f, 4*a + a = 25. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 139.866 minutes?\nAnswer: 8391960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-18)*-2)\/((-5)\/(-3)). Let n = 0.1 + 0.3. Let r = n + 0.6. Which is the nearest to z? (a) -0.1 (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*x = 563*x - 192 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-3*u + 4*u - 9*u).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 1 - 65275977\/(-11). Let w = -5930304 + i. Let m = -3876 + w. Find the common denominator of m and -81\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -3\/61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382074?\nAnswer: 2, 3, 7, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/30 + 7*t**4\/24 + t**3\/2 + 157*t**2. Let r(m) = -2*m**2 + 6*m + 2. Calculate -5*o(b) + 6*r(b).\nAnswer: -2*b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2, -0.07409, -5, 0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/2 - 9*x**3\/2 - 3*x**2\/2 + 9*x\/2 + 3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 4*h - 2. Let p be b(2). Let j be ((-6)\/(-8))\/(p - 5). Let d = -42 + 46. What is the smallest value in 0.03, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than -0.06132?\nAnswer: 1.23868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-6 - -8 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20782284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighteen sevenths of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5785)\/(-455) + (-9)\/2 and ((-25)\/(-24))\/(2\/(-3)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -99*l**2 - 9*l + 310. Let y(t) = 24*t**2 + 2*t - 77. Calculate -2*s(p) - 9*y(p).\nAnswer: -18*p**2 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -85. Is s*((-16485)\/6)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-6))\/(337656\/112554 + -3)?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 12. Let r = -1.931 - 0.069. Which is the fourth smallest value? (a) -0.5 (b) -0.1 (c) r (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 27 - (2\/3)\/((-63)\/378).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.66765 - -120.65989. Let n = -0.1417 - 96.8583. Let h = b + n. Round h to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 328 = -3*p. Suppose a + 13 = p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**2 + 45 - 4\/3*q**3 + 0*q**4 + 8*q + 1\/10*q**5. Factor c(r).\nAnswer: (r - 2)**2*(r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 + 5*k - 10. Let j be p(6). Suppose -j*g + 60*g - 224 = 0. What is the units digit of g - ((-4)\/(-6))\/(2\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473363641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:53 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1761760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/7, 0.4, -2\/5, -4, 2 in ascending order.\nAnswer: -4, -11\/7, -2\/5, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4 - 0, 7 = -r - 3*l. Suppose r*g = -n - 83, -6*n = -n + 5*g + 395. Let o = -5 - n. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(-35 + (-1626700)\/(-46500)).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 20. Solve -3*y = 2*l + 11, -4*l - x = -2*l + 2*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 + 2 - i**3 + i**4 + 0*i**3 in the form b*i + c*i**2 + s + z*i**4 + y*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let u(x) = -22 - 35 - 177*x - 9. Let m(j) = -11*j - 4. Let g(r) = 99*m(r) - 6*u(r). What is g(a(i))?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100121 (base 5) in base 14?\nAnswer: -121b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254524 (base 6) in base 7?\nAnswer: -410230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-78)*168\/12. Let z(b) = -b**2 + 7*b - 2. Let f(g) = g**2 - 11*g + 3. What is m*z(a) - 5*f(a)?\nAnswer: 2*a**2 + 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000203939576 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4)*q)\/(q**(2\/3)\/q))\/(q**(6\/13)*q**(-5))*((q\/(q*(q\/(q**(9\/2)*q)*q)\/q*q))\/q**(-2\/5))**(-17) assuming q is positive.\nAnswer: q**(-24737\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2 - 2*z - 5*z**3 + 3 + 0*z**3 - 3*z**3. Calculate x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55886?\nAnswer: 2, 27943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*h - 544, -272 = -3*j + 2*j - 2*h. Let s be 70\/17 - 22\/187. Suppose s*p + j = 2436. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1153, -4599, -10355, -18433, -28845, -41603?\n\"Answer: -2*s**3 - 1143*s**2 - 3*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {l: 6, r: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1196 or 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161 + 6 + 187)*(1 - 4 + 4)*(1 - 2*r**2 - 1).\nAnswer: -708*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let y be r(1). Suppose 0 = y*c + 10, -3*a - a - 2*c = -14. Solve 2*o - a = -3*j, 5*o + 5*j - 11 = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let m(n) = -n. Let q(h) = 5*h + 1. Let b(k) = 6*m(k) + q(k). Let r be b(0). Let c(x) = 2192 - 1095 - 1098. Give r*c(v) - y(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m - 3*p + 18, 5*m = 4*p + 12. Solve -15 = -4*o + 5*g, -g = -o + m*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1872345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -242 - -180 - (6 - 31).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5493223 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 12*y + 5. Let c be x(-12). Solve -c*g + 0*g - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24153587.13 rounded to the nearest 100000?\nAnswer: -24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308 + 315. What is the remainder when 251 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/60 + g**4\/24 - g**3\/3 - 6*g**2. What is the smallest common multiple of z(-5) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17745 - 213085\/12. What is the common denominator of g and -26\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (918\/1530)\/((-3)\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21162050 and 591500?\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:13 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2306605775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 28*n**2 - 60*n - 703. What is o(-29)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -13550143?\nAnswer: -13550141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34024\/7 (b) -22 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-75)\/(-9)). Let c = 1.794 + -0.794. Do c and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 2:17 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859*s**2 + 1220*s**2 - 957*s**2.\nAnswer: 2122*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 45. Let f be s(10). Suppose 9 = -3*x - 3*v, x = 3*x + 3*v + f. Put x, 3, 1\/5, -0.12 in decreasing order.\nAnswer: 3, 1\/5, -0.12, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 5)*(-q**2 + 0*q**2 + 5*q**2).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 314162344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 + 2*y + 12. What is the tens digit of b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 + 32*b**4 - 84*b**3 + 72*b**2 = 0. Calculate b.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-5)*(z**(-9)*z)\/z*z)\/(z*z*(z\/((z*(z*z*z**(-1\/2))\/z*z)\/z))\/z*z*z*z**(-2\/19)))**(3\/23))**(-46) assuming z is positive.\nAnswer: z**(1641\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqq when three letters picked without replacement from dhqqcdhc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - -26. Suppose -56*y + q*y + 33 = 0. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -452 - -457. Suppose 0 = 5*y - 5*r + 15 - 70, 0 = 2*y - 5*r - 28. What is the common denominator of ((-62)\/(-24))\/(y\/(-2) + z) and -1\/13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.1 - 37.78. Let v = z - 2.76. What is v rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-2)*(-4)\/2. Let m(v) = -v - 3. What are the prime factors of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/(-75)*(-18)\/(-8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**8\/14280 - t**7\/2380 + 19*t**3\/6 + 17*t. Let m(a) be the second derivative of k(a). Factor m(i).\nAnswer: -2*i**3*(i + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (-205425)\/66*4\/(-5)?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 105 = 14*b - 5*b - 159, 5*q + 2*b = 51 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 4*p**2 - 73*p + 41. Determine c(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 7 - 8*u + 3*u - 4*u.\nAnswer: -10*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/25)*n)\/(n**(2\/9)\/n*n*n))**(-1\/7) assuming n is positive.\nAnswer: n**(41\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 12428*y + 24872.\nAnswer: -4*(y - 2)*(y + 3109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4067 is divided by 135.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.199 in 0.4, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 4*o. Solve -s + 25 = -o*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -41*z**3 - 3444*z**2 + 2*z + 292. Determine x(-84).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -386203 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4893*y - 4910*y = -17. Is 1\/883 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217 + -210. Let x be 2 - ((2 - 0) + 0). Solve -k + z + d = 0, 2*z = -k - x*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*p - 0*r - 96, -4*p - 3*r + 128 = 0. Let s be (168\/p)\/(1\/4). Solve 4*u + 5*n + 41 = 0, -2*n = 5*u + s + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928012 divided by -232003.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -784 + 788. Find the third derivative of -19*r**6 - 4*r**q + 3*r**6 + 18*r**6 - 6*r**4 + 188*r**2 wrt r.\nAnswer: 240*r**3 - 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2343107*i*j**4 + 4*i*j**3 - 11346*i + 8*j**3 - 27196*j**2 wrt j.\nAnswer: -56234568*i*j + 24*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -132, -130, -128?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 1, q: 4, v: 3, x: 3, t: 4}. What is prob of sequence xv?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 15, -24 = -2*s + 2*i + 22 - 62 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 3024*f - 557136.\nAnswer: -4*(f - 438)*(f - 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*r**3 - 3*r**3 + 4*r**5 + r**3 - 2*r**5 - 37*r wrt r?\nAnswer: 40*r**3 - 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpo when three letters picked without replacement from {o: 2, g: 9, p: 1, k: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 935499094 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 488, 1106, 1972, 3086, 4448?\nAnswer: 6058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.02 - 45. What is the nearest to -2\/7 in -0.1, u, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 436692674*i*s**3 + i*s**2 - 3*i*s + 162*i - 23394*s**2 - 4*s + 2 wrt s?\nAnswer: 2620156044*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04945 - 1.95055. Which is the third biggest value? (a) x (b) 3\/5 (c) -0.3 (d) -0.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -6. Let x(r) = -59200*r**2 - r - 5. Let k be x(i). Round k to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -0.18, 3, 4 in increasing order.\nAnswer: -0.18, -0.1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3745 is divided by 201?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**5*k*x - 53*i**5*x - 174*i**2*k*x + 3*i**2 wrt i.\nAnswer: 240*i**2*k*x - 3180*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211\/3 - 71. Let y(k) = -k**2 + 8*k - 2. Let l be y(7). Let z = -25 - -20. Sort l, z, b in increasing order.\nAnswer: z, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = -2*c. Does 14 divide 977\/c - 3\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 43. Suppose -5*k = -5*h + 3*h + 179, -15 = -z*k. Calculate the remainder when h is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 36*i**2 - 77. What is b(-36)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93978, -376251, -846706, -1505343, -2352162?\nAnswer: -3387163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143.999941 - 144. Round j to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 124*p**2 + 174*p**2 - 3*p in the form m*p + d*p**2 + u and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3)*(-1)\/(20\/(-8490)). Suppose -3 = -i + 2, 0 = w - 2*i - x. List the prime factors of w.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 37*t - 8. Let s be g(-5). Let r be s\/(2\/(-6 + 4)). Suppose -7*q = -2*q - 3*m - r, -77 = -2*q + m. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -553.17, 3\/2, 0.1?\nAnswer: -553.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(15\/8)*q**20 assuming q is positive.\nAnswer: q**(175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 3 - 5\/2*k**2 - 4*k. Let o(w) = 14*w + 11. Let x = -12 + 16. Calculate x*o(m) + 11*v(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6115 divide 851344395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/72 and 38\/115111.\nAnswer: 8287992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828, 868, 908, 948, 988, 1028?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 62*m + 6. Calculate b(62).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.4076 - 0.0076. Let j = 47.4 - y. Which is the nearest to 2? (a) 8 (b) j (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4 (c) 2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 3 - 3 + 4 + 0*v - 3 - 2*v + (-3*v + 1 - 1)*(-6 + 3 - 1).\nAnswer: 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 7*w**2 + 4*w + 3. Let y be n(7). Let z = y + -23. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -272.\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.03, -7, 66?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-42))\/((468\/(-91))\/6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1199363319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 + 1375520.\nAnswer: 1375434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 23. Let r = -6 - q. Suppose -2*x + 16 = 3*g, 0 = -r*g + 3*g + 2*x + 12. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 15 - 7. Suppose 3*d - 543 = -h*d - 4*a, a + 3 = 0. Suppose 5*p + 3*s - 111 = -0*s, 4*p - 5*s = d. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c - 2. Let y(s) = s**3 - 3*s**2 - 7*s - 17. Let h be y(5). Determine u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*t - 25, 35 = 5*t - 5*r - 10. Find the common denominator of -45\/17 and (-14)\/t - (-3)\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/7)\/i**(-2\/23) assuming i is positive.\nAnswer: i**(60\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*p**2 + 54*p**2 + 103*p**2 + 73*p - 182*p**2 + 17*p in the form v*p**2 + n + a*p and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22654630 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (165\/75)\/11 + 2. Put 0, n, -3 in increasing order.\nAnswer: -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15b0 - -1d?\nAnswer: 15cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 5 (c) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (241*-1)\/(-1) - -2. Let c be -6 - (8 + 32)\/(-5). What is the first derivative of 4 - 254*d**2 - 8 + w*d**c wrt d?\nAnswer: -22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 3 + 33 + -26 + 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 3. Let l be o(1). Let m(c) = -5*c + 12. What is the units digit of m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14884\/5 not equal to -2978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46615.\nAnswer: 5, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 102 = 17*h. Let t be (-2 + 11)*(0 + -3). Let d = h - t. What is the greatest common factor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369, 2, 4 in increasing order.\nAnswer: 2, 4, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9568.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30031*x**3 + 155798.\nAnswer: -90093*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 18 - (-2 + (-6 + -9 - -13))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 3*g**4 + 0*g**4)*(76 + 19 + 41)*(0*g + 0*g - g).\nAnswer: -272*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 11*w + 4*o + 30, 0 = -2*o. Calculate the greatest common factor of 4803 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/37865116 and 81\/16.\nAnswer: 151460464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2378 + 2.2378. Which is the third smallest value? (a) 8 (b) -5 (c) -1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 34*i + 2*i**2 + 9 - 45*i + 6. Is b(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 10*m + 10. Give k(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - 51. Suppose r*l - 24*l = 10. Let q be 4\/14 + (-16)\/7. Sort l, q, -3 in decreasing order.\nAnswer: l, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -t + 23. Let j(l) be the second derivative of -l**4\/12 + 5*l**3\/3 - 3*l**2\/2 + l. Is j(t) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 5, -5, 4 in increasing order.\nAnswer: -5, -4, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 26. Let r = p - -999\/7. Is -6 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 + -262. Solve -6*q + 20 = -n*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 14) to base 8\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.585 * 187.\nAnswer: 296.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c + 0*c)*(2*c - 1 + c + 2*c).\nAnswer: -25*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -1\/238, 7146, -2?\nAnswer: 7146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:46 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174118*t**5 + t**4 - 2*t**3 - 4537616*t**2?\nAnswer: -10447080*t**2 + 24*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 + d - 1. Let m = 11 - 10. Let u be v(m). Differentiate 0*b**2 - 3*b**2 + 9 + u*b**2 - 8 with respect to b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 - -100. Suppose 0 = 3*h, -3*g + 7*g - n*h = 16. Solve 0*z = -g*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84816280.43 to the nearest one hundred thousand.\nAnswer: 84800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h - 21. What are the prime factors of d(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2539, 1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -3*y**5\/40 + 59*y**4\/8 - 176*y**3 - 3840*y**2 - 1005*y. Factor m(d).\nAnswer: -3*(d - 32)**2*(d + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276504611 is divided by 2143?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/5 + (-4)\/10. Suppose 3*l + j*l = 0. Suppose 2*v - 16 = -l*v. Calculate the lowest common multiple of 20 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/4)\/((-40705)\/(-2326)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -236822, 3, -1\/8, 0.063 in decreasing order.\nAnswer: 3, 0.063, -1\/8, -236822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 353. Let l = m + 285. Calculate the least common multiple of l and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 728626.5 nanometers?\nAnswer: 728.6265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 91*y. Let r be w(-3). Let z be ((-18)\/190)\/(r\/(-14)). Let n = z - -64262\/8645. Calculate the common denominator of n and 17\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.048 - -22. Let p = m + 0.09. Let q = p - -1.958. Which is the nearest to q? (a) -4 (b) 2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 909732 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - m - 2*m)*(-m**2 + m**2 - m**2) - 1323*m**2 - 20065930*m**3 + 20065938*m**3 - 1 + 0)*(2*m + 1 - 1).\nAnswer: 18*m**4 - 2646*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:37 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r. Let f be (-8)\/12 + (-2)\/(-3). Let c be 6\/4*(f + 2). Let g(k) = -2*k**2 + c*k**2 + 4*k**2 - 3*k**2. Give l(g(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -4. Let y = 8.1 - u. Is y < -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/(-196))\/(315\/(-1323)). Determine x, given that g*x**2 + 94\/7*x - 32\/7 = 0.\nAnswer: -16, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6162*x**2 - 3081*x**2 - 3083*x**2 + 908.\nAnswer: -2*x**2 + 908","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 4*m + 88. Let y(d) = -3*d**2 - 5*d - 90. Calculate 4*k(z) + 3*y(z).\nAnswer: -z**2 + z + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100101100 (base 2) to base 9.\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x + 13. Let h(q) = -3*q + 6. Let n(k) = -13*h(k) + 6*y(k). Let j(l) = l**2. Give j(n(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, h: 1, t: 1, v: 1, f: 2}. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7679 + 7679 - 205*n**2.\nAnswer: -205*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = l + 1, -5*f = -2*l + 9 - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -255 + 281. Calculate the lowest common multiple of 10 and k.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1. Let s(v) = -3*v + 6. Let d(n) = 6*k(n) + s(n). Let z be 1\/7 + (-516)\/(-14). Let a(o) = -37 + o + z. Give a(d(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c**2 - 5*c**2 - 4*c**2 + 7*c**2. Let k(g) = 83*g. Calculate k(t(w)).\nAnswer: -166*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 + 8*b + 10. Let d be l(-6). Suppose 5*k = o - 650, -k + 5*o = 22 + 108. Let x = d + k. Calculate the remainder when 27 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000020 + -11?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1585836312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -77, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + -160. Let k(y) = y + 15. Let d be k(h). Solve 0 = -d*a - 27 + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -769 + -1?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254648.\nAnswer: 2, 3, 61, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1392*c**3 - 2427*c**3 - 2230*c**3 + 800*c**3.\nAnswer: -5249*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**2 - 6*y + 2. Let z be t(2). Let w = 28 - z. Suppose -3*j = -x - 2*j, -15 = -w*x - 3*j. Solve -x*o = -5*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, 5, -5\/2, -126, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(-671))\/(8\/24)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284172 is divided by 229.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*q - 200, -5*l - 95 = -3*q - 383. Suppose -l = -7*j - 18. Calculate the smallest common multiple of j and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7152 and 7152?\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.739841 to two dps.\nAnswer: 13.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8411.381mm in kilometers?\nAnswer: 0.008411381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-1 - sqrt(243)) + sqrt(243) + -3 + sqrt(243) + 4 + sqrt(243)*2 + sqrt(243).\nAnswer: 1 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 5. Let z be d(0). Let t(a) = -5*a + 2. Let v(b) be the third derivative of 88*b**2 - 1\/4*b**4 + 0 + 1\/2*b**3 + 0*b. Calculate z*t(c) + 4*v(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)*x*x\/(x\/(x*x*x*x**(1\/11)*x)))**(-2\/15)\/((x**(-5)*x*x**(-2\/3))\/(x**1)**(9\/13)) assuming x is positive.\nAnswer: x**(19649\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*c - c + 1 = 0, -4*c + 38 = 5*a. Does 11 divide ((0 + -2)\/(a\/2110))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -0.4 (b) 42\/29 (c) 245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + y + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. Let k(o) = n*o**2 + 2*o**2 - 6*o**2. Let r(h) be the first derivative of -5*h**3\/3 - 3. What is k(r(u))?\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1269\/42)\/(-3) - 2. Let w = x + 100\/7. Calculate the common denominator of 59\/22 and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 51, -31, 1\/6 in decreasing order.\nAnswer: 51, 0.2, 1\/6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8130d (base 16) to base 3\nAnswer: -222212212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 6:55 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6320*j**2 - 3306*j**2 - 12090*j**2)*(3*j**3 - 2*j**3 + 0*j**3) - j**4 - 3*j**2 - 2*j**5 - 4*j**3 + 4*j**3.\nAnswer: -21718*j**5 - j**4 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38\/45 or -1?\nAnswer: -38\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1369, 4162, 8367, 13972, 20965, 29334?\n\"Answer: -2*n**3 + 718*n**2 + 653*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 - 2*n + 12. Let m be l(6). Let u(f) = -4*f - 7. Give u(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 d when four letters picked without replacement from {d: 1, w: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-7)\/(-84)*0. Let t(w) be the second derivative of 0*w**5 + 0*w**4 + 6*w + x + 0*w**2 + 1\/210*w**6 + 0*w**3 - 1\/294*w**7. Factor t(d).\nAnswer: -d**4*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:43 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 22. Let g(f) = l*f**2 + 0*f**2 - 4*f**2 - 2*f**2. Let j(a) = 5*a**2. Calculate j(g(u)).\nAnswer: 180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161127 divided by -1661.\nAnswer: 161127\/1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1136 + -555. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 6*q + 10. Let w be -6*(-2)\/(-3) + (-2 - -15). Calculate u(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4 + 29*l + 26*l + 31*l - 113*l + 26*l. Suppose -12 = -3*n, -3*q = -4*q + 2*n - 11. Calculate v(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 51?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 21*t**2 - 43*t + 52. Let s be k(6). Which is greater: s or 548?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 4*z**2 - 6*z - 6. Let r be o(-5). Is 47\/(-2)*r*6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794474 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmffbkofmfmffbmmkkm. Give prob of picking 1 k, 1 b, and 2 m.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Let s(j) = 1. Let i(y) = -42*y + 42. Let m(z) = -i(z) + 42*s(z). Give r(m(g)).\nAnswer: -1764*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 3, -d + 180*j - 7 = 182*j for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*v - 69 + 1077 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*h - 5*q + 2821, -4*h + 2285 = q. Let v = h - 104. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*r - 10. Suppose -5*l - 15 = 0, z - r*l = 2967245 + 8732770. Round z to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/5 - 5770*x + 86460 = 0.\nAnswer: 15, 14410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b - 6. Let u(h) = -4*h**3 - h**2 - 30*h - 34. Let d(r) = -11*f(r) + 2*u(r). Let m(j) = -j**3 + j**2 + j + 1. Calculate -d(y) - 2*m(y).\nAnswer: -y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8848535, 8848531, 8848523, 8848511, 8848495?\n\"Answer: -2*f**2 + 2*f + 8848535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1720 and -47\/83964.\nAnswer: 36104520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 3. Let p(f) = 3*f**2 + 2*f + 5. Let r(s) = -5*s**2 - 4*s - 9. Suppose 30*g + 16*g - 184 = 0. Give g*r(k) + n*p(k).\nAnswer: k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -373350 (base 9) in base 13?\nAnswer: -7b87c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13297952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331714 is divided by 109913?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h**3 - h**2 + 3*h - 1. Let q be m(2). Let v = q + 172. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 12*p + 10*p**4 + p)*(p - 2*p + 2*p).\nAnswer: 10*p**5 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:21 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 9:10 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30\/11*p + 2\/11*p**3 + 14\/11 + 18\/11*p**2 = 0. Calculate p.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 5197304*i**3 - 3376501305852*i**2 - 6752987019800*i - 3376490911250.\nAnswer: -2*(i + 1)**2*(i + 1299325)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31347*f - 3*f**3 - 31357*f - 11 + 161*f**2 + 13 to b*f**3 + u*f + h*f**2 + o and give h.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6 - 5 + 19 - 3*y**4 + 4*y + y**2 + y in the form r*y**3 + n*y**4 + g + a*y**2 + p*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 2. Let u(d) = 810156*d. Calculate p(u(q)).\nAnswer: 2430468*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -64, -9, 1 in decreasing order.\nAnswer: 15, 1, -9, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/63 (b) -0.5 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1331891 and 32\/363243.\nAnswer: 3995673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 98. Calculate the highest common factor of c and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1715450 and 56.\nAnswer: 48032600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-553*r + 164*r - 584*r)*(-2*r + 0*r + 0*r).\nAnswer: 1946*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7240742 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638*f + 28 = 1634*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 3abb802b?\nAnswer: 3abb802a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -18, 0, -4, 55, 7 in increasing order.\nAnswer: -18, -4, -2\/5, 0, 7, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -32.32.\nAnswer: 258.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 198404 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + q + 33 + 399 = 0, 5*h - 529 = 4*q. Let x = -99 + h. Differentiate 178*j + 27*j**2 - 30 - 178*j - x*j**2 wrt j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 599564064*v**4 + 723981043*v?\nAnswer: 7194768768*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2307*j**2 + 3469*j**2 - 4 + 4.\nAnswer: 1162*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 61 + -21 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Solve -t*w - 3*y + 8 = 0, -3*w + 3*y - 2 - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20360064 divided by 1184\nAnswer: -17196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2*b + 2. Let w be l(2). Suppose -d = -3*k + 1, -k - 3*k + 3*d = w. Let s be (2 + 1 - 2)*k. What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 139 - 26. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35116 - 26.35116. Which is bigger: -62 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6236791152 rounded to three dps?\nAnswer: 0.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**2\/2 - 7*i - 2. Suppose -784*d = -779*d - 40. Determine a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 10*s**2 + 1\/120*s**6 + 3\/20*s**5 + 2*s**3 + 0 + 0*s + 0*s**4. Is 6 a factor of a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -84*x + 669 + 1641 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141, 161, 187, 213, 233, 241?\n\"Answer: -o**3 + 9*o**2 + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-912)*100\/75?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**6\/15 + 51*n**5\/2 - 169*n**4\/2 + 253*n**3\/3 + 1831*n. Determine c so that j(c) = 0.\nAnswer: 0, 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2435430 and 16995?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaoaoaaaaaaooabkaoaa. What is prob of picking 3 o?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132464\/13 or -10190?\nAnswer: -10190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 149 + 161 = 5*j, 3*g - 15 = -2*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -2)\/(-1) + 4. Suppose 5*g + 4*f = -o*g + 181, 4*f = 5*g - 149. What is the remainder when g is divided by -272 + 272 + 17\/1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 912 = -1853. Calculate the greatest common divisor of 79 and w.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36538*v**2*z - 111*v**2 - 538548*v*z - v wrt v.\nAnswer: 73076*z - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7395.936 hours?\nAnswer: 26625369.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by -5\nAnswer: 183\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1878, -5, 16, -4, 1 in decreasing order.\nAnswer: 16, 1, -4, -5, -1878","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2473*x + 7314. Calculate k(3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*n + 72, -162*n = -3*s - 166*n + 78. What is the greatest common divisor of 38 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-45) - 0 - 3\/(-15)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1\/((-11)\/(-22)). Solve l*v + 25 = 6*t - t, -v - 5 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2 + 163172*g. Let m(l) = -2*l. Calculate m(a(z)).\nAnswer: 16*z**2 - 326344*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 512 + -549. Sort 3, q, 2 in descending order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6210 and 4320.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521 + (-12 - -2 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.1 + 0.1. Let h = -71 - -72. What is the closest to -0.1 in 3, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -0.093776?\nAnswer: -0.906224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -19*w**2 - 2112*w + 46543. Give i(-130).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263974 is divided by 14665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10897*b - 164 = -10856*b. Let k(i) = -69*i - 275. Give k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 - (-16)\/(-4)) + -4. Suppose -6 = -d*y + 2*y. Solve y*v + v - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6*c + 9*c - 2*c)*(5 + 0 - 3)*(2 - 1 + 0 + (-2 - 3 + 3)*(-1 + 4 - 4) - 4 + 4 - 2) to o + z*c and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19909087.\nAnswer: 11, 1809917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16309.\nAnswer: 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75219800 plus 16?\nAnswer: 75219816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -464, -750, -848, -752, -456?\n\"Answer: a**3 + 88*a**2 - 557*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 - (2 - -1 - (-1 - -4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55019 and 159544?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1132*d - 71070. Determine f(63).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**5\/10 + 5*g**2\/2 + 2*g. Let n(f) = -f**3 + 4. Suppose h + 5*d + 16 = 0, -h = 2*d + 1 + 3. What is h*s(x) - 5*n(x)?\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 65*f + f**3 + 131*f + 8*f**4 - 3*f**2 - 66*f as g*f**2 + k*f + o*f**4 + v*f**3 + p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 696224?\nAnswer: 3\/696224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -35, 5 in increasing order.\nAnswer: -35, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -6 + 3\/4*b**4 - 2*b**3 + 0*b + 0*b**2. Find y, given that z(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2*u**3\/3 - 17. Let r(n) = 25*n. What is i(r(p))?\nAnswer: -1250*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 - 56 = 0. Suppose 0 = d - 1 - w. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxqsxxxxx. What is prob of picking 3 x and 1 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*c - 104*c + 188*c - 66*c.\nAnswer: -51*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29771117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(1\/(-21)*2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from fnnng.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 683393 (base 10) in base 13?\nAnswer: 1ac099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.02 - 0.02. Let i = 8 - t. Let y = -1.5 - -2. Which is the smallest value? (a) y (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1574*h - 73 = 1573*h. Let k = h + -61. Calculate the smallest common multiple of 30 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 6 - 4. Suppose -8*c**2 + 8 + 10*c**2 - 3*c**l - 7*c = 0. Calculate c.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/4, -2\/5, 2342.\nAnswer: -3\/4, -2\/5, 5, 2342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -164.93, -35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194895005?\nAnswer: 5, 38979001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 + -62?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(1 + 1 - 1)*(2*a + a - 60*a)*(11 - 16 - 49).\nAnswer: 6156*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*v = -283, -v - 234 + 19 = -3*f. Suppose 4*o - j = 156, -o + f = o - 2*j. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.1. Let y = 9 - 51. Let j = y - -42.2. Which is the second smallest value? (a) 4 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181096576 to the power of 1\/2, to the nearest integer?\nAnswer: 13457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**4 + 42*x**3 - 628*x.\nAnswer: 48*x**2 + 252*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14596, 14597, 14598, 14599, 14600, 14601?\n\"Answer: r + 14595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 57*a + 4. What is the units digit of q(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248453372 to the power of 1\/3, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/21 - (2 - 5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a + 84 = 0. What is the remainder when (-4)\/(-6) + (-488)\/(-6) is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 8, 1.1, 1, -52\/5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3029e5 + -187?\nAnswer: 30285e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(20) - (sqrt(286) - sqrt(286)*-3)\/sqrt(11))\/(sqrt(288)*3 + 4*sqrt(242) + sqrt(2)).\nAnswer: -7*sqrt(13)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 3:20 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**4 + 9*d**3 - 4037*d**2 + 680601*d - 2.\nAnswer: 48*d**2 + 54*d - 8074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-165)\/(-51))\/1 - -1. Let r = n - 135\/68. Find the common denominator of r and 1\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 425 - 422. Suppose -5*y = -3*q + 832, a*q - 3*y + 30 - 852 = 0. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:59 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.3905 + -4.4. Round c to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3824, 179 in increasing order.\nAnswer: -3824, -3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijdzzidzd. Give prob of picking 2 i and 1 j.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 2*n**2 + 0*n**2 + (n + 3 - 3)*(-2*n + 3*n + n) in the form h*n**2 + t*n + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 3)\/((2541\/(-56))\/(306\/(-408)))?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i. Suppose i*g + 3*g + h - 16 = 0, -1 = -h. Suppose -2*x - 1 = -g. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - (-21 - 24)) + (3 - 1) + -12 + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2\/1287 (c) 4 (d) -2\/17 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84403.37l to millilitres.\nAnswer: 84403370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -163354, -163352, -163350, -163348?\n\"Answer: 2*t - 163356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1319635511 and 3030.7.\nAnswer: -1319632480.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29 - 0.71. Let t(k) = -k**2 - 9*k + 3. Let y be t(-8). Which is the second smallest value? (a) o (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (600\/(-1))\/((-20)\/(-150)). What is y rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 - -118. Let x = -31 - m. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*n + 151 = 0, -2*x - 2*n + 157 = n. Let s = -45 + x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 = 89*v - 257 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 709361 and 515?\nAnswer: 3546805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -416\/252513 + -315543919\/2051668125. Let t = g + 1\/625. What is the closest to 2\/7 in 2\/15, t, -1\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 2*g - 46, -a + 1922 = 5*g + 1963 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-582576)\/(-8244)*((-10)\/(-8) - 2)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, e: 2, p: 2, s: 2, f: 4}. Give prob of sequence sse.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 - (-876 - -901).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2113417*b**3 - 7073749*b**2 wrt b?\nAnswer: -12680502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 615000*x. Let n = 0 - -2. Let t be o(n). Round t to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2914 + -1719. What is p rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r. Let o(n) = -n**2 + 6*n - 4. Let j be o(4). Let m be (3 - j)\/(2\/(-4)). Let a(x) = -x**2 - x**m + 3*x**2. Determine v(a(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1334d (base 14) to base 6.\nAnswer: -1003001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -214.\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e43 (base 15) to base 9.\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**8\/840 + 2*d**7\/525 + 165*d**2 - 1. Factor t(n).\nAnswer: 2*n**4*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 5. Let z(y) = -y**3 - 5*y**2 - 5*y - 1. Let n be z(-4). Suppose 3*v = -n, -1 = -l - 2*v + 1. Calculate the remainder when l is divided by i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182536 - 291.5771.\nAnswer: -182827.5771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318097109 divided by -11.\nAnswer: 28917919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431216 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/13 - 170*b**3\/13 + 140*b**2\/13 + 2400*b\/13 - 4032\/13 = 0.\nAnswer: -4, 2, 3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(2*p + 5*p - 2*p)*((-1 - 1 + 1)*(1 - 1 - 4) + (0 + 3 - 4)*(-5 - 16 + 12)) to h*p + b and give h.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9111889 is divided by 2277969?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 19. Let x(h) = 2*h**2 - 3*h + 1. Let l be x(b). What is the greatest common divisor of l and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 1 + 7. Let w(g) = -2*g + 1. Let f be w(1). Let p be (4\/(-8))\/(f\/x). Calculate the greatest common divisor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17088*q**3 + 10893*q**2 + 2*q wrt q.\nAnswer: -102528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = k. Suppose k = p - 2*v + 5, 3*p + 2*p = 2*v + 7. Solve l + 4 = -c + p, 5*c = 3*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 644, 1085, 1676, 2471, 3524, 4889, 6620?\nAnswer: 8771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = k + y, -30 - 43 = -3*k + y. Suppose 0 = 4*o - 2*o - k. Calculate the remainder when 46 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894.2134nm to centimeters.\nAnswer: 0.00008942134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58302 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -31*r**8\/14 + 4*r**7\/21 + 355*r**4\/12 - 1426*r. What is the third derivative of x(p) wrt p?\nAnswer: -14880*p**3 + 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*79461.\nAnswer: 476766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 303777 = -49*x + 84498. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-27 - (-152 + (-28 - -35)))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -15 and -5099 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = s, -s + 3*k - 6 = 3. Suppose 3*r = 5 + 22. Let g = -6 + r. Put g, s, -1 in ascending order.\nAnswer: -1, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -139\/13?\nAnswer: -139\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/3*(-2)\/4. Let d = -1 - p. Solve 2*m - d + 11 = 3*h, 0 = -m - 2*h - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 53 + -5 + 2 - -3. Let w = 55 - n. Find the third derivative of 15*f**2 + 29*f**w + 37*f**4 - 20*f**2 wrt f.\nAnswer: 888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 9*g**2 + 7*g. Let t be m(-8). Suppose -3*j + t = -1. Solve r = k + 1, -r + 8*k = j*k - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1406? (a) 0.3 (b) 2 (c) 5 (d) -4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8488498 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 4*z + 8*x - 48, 58 = 5*z - 2*x. Solve 3*h - 6 = 2*w, w = -h - 3 + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.01. Let g = h - 4.01. Let j = 8 + -5. Which is the nearest to 0? (a) g (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94919433*m**2 + 58668873*m**2 + 2200462*m**2.\nAnswer: 155788768*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182189717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-14)\/91 - (-128)\/(-13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j - 1. What is the tens digit of d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**2 + 513*a + 244. Let v be m(-85). Suppose -2*q + 7 + 7 = 0. Let z = -5 - q. Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let x = 28.9 + 2.1. Let l = 30.5 - x. Which is the biggest value? (a) -1.3 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 22539*z + 135216. Determine f(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b - 114. Calculate q(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 999*f**6 + f**4 - 897*f**2 + f?\nAnswer: 119880*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 25973991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigiiiciggg. What is prob of sequence gic?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1428 divided by -7?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4978 + 4983. Solve 5*c = 3*m + 7, -m + 8 + 3 = p*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 - 14*j**3 + 26*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhh. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -430333 (base 6) to base 16\nAnswer: -8931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*y - 156, -5*x - 5*y = -123 - 137. Suppose -k - 8 = 5*l, -4*k - 3*l = -4*l - x. What is the greatest common factor of k and 240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 6 - 10. Let s(n) = -n**2 - 6*n - 1. Is s(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l*l**(-26)*l)*l)*l*l\/(l*l\/(l*(l**(-21)*l)\/l)*l))**(4\/3))**(-18) assuming l is positive.\nAnswer: l**1080","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10530*b**2 - 5*b**3 - b**3 - 11276*b**2.\nAnswer: -6*b**3 - 746*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 3. Let b = 16 - -1. Suppose 5*z + 32 - b = 0. Calculate h(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + i - 2*i + 1 = 0, -5*g + i = 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6594, -6598, -6602?\n\"Answer: -4*j - 6590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -280, -560, -840, -1120, -1400, -1680?\n\"Answer: -280*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6652.959 and -2.\nAnswer: 6650.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2288, 9069, 20368, 36185, 56520, 81373?\nAnswer: 110744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 271699 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 18*q - 74. What are the prime factors of a(48)?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 136, -2\/9, -4.1705, -0.5?\nAnswer: -4.1705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/268*2514\/9*(2 - 3). Is -6 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 40*j**2. Let a(v) = -6*v**2. What is a(q(c))?\nAnswer: -9600*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1200 and 5.\nAnswer: -6000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7389.7074 - 0.449\nAnswer: -7390.1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-50327)\/(-133458) + ((-2)\/3)\/(2 + 0) and -83\/338?\nAnswer: 9802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 g, and 1 r when four letters picked without replacement from peeiigirgje.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 982264453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 38 (c) 0.07 (d) 0.1 (e) -6 (f) 2\/39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/4)\/(-2))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315 - 51212195.\nAnswer: -51211880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*x + 2)*(1 + 1 + 1)*(3*x + 2*x - 3*x).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 2*a**3)*(-2*a + 0*a - 2*a) + (3*a + 0*a - 8*a)*(2*a**3 + 1 - 1).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:19 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:36 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = 0, g + 12 = -3*g + 2*h. Let r be (g\/10)\/(1\/15 + 0). Let u be 2\/4*28\/(-2). Which is bigger: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 118. Suppose 364*o - 305*o = 3835. Is o greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3221, -4, -72, -25, -1, 1, 3 in increasing order.\nAnswer: -72, -25, -4, -1, 1, 3, 3221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*n*s + 1350624591*n - 6087497*s**2 wrt s.\nAnswer: -12*n - 12174994*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 2, o: 7, f: 5}. What is prob of picking 2 x and 2 f?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(4*sqrt(8)\/sqrt(4)))\/(3*1*sqrt(242)).\nAnswer: sqrt(19)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.28004+-0.86719\nAnswer: -1.14723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.339 + -0.061. What is the fourth biggest value in -5\/3, 2\/9, c, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 303\/20 or -0.1?\nAnswer: 303\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.6. Let y = -98 + 101. Suppose y*d - d - x = 1, -d = 5*x - 28. Which is the nearest to 3\/4? (a) s (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*m + 62 = 0. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-80)\/65)\/(-8) - 230\/(-26). Suppose s*o - 44 = 91. Solve -3*w = -3*j - o, 2*j = -w + 1 - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*t + 189 = -0*o, -t - 75 = 2*o. Let r = -68 - -66. Let p be 5 + r - (o + 3). Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a\/a**(3\/10))\/a)))\/a**(1\/6)*(a**(1\/4)*a)**(-10\/3)*((a*a**(2\/5)\/a)\/(a**(-4\/7)*a))\/(((a**3\/a)\/a*a)\/a**(-6\/7)) assuming a is positive.\nAnswer: a**(-1579\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12521 (base 9) to base 16.\nAnswer: 20fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/2 - 4*z**3 + 300. Factor i(l).\nAnswer: -2*l**2*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = -3*o - 11, 0 = 4*r - 3*o - 4. Let s be -3*(r + 3) + 3. What is the tens digit of 19 + 1\/(-4)*s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - c = -7, 2*z - 3*c - 7 = -2. What are the prime factors of (-152)\/(-12) + z\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/8 + 13*f**4\/8 - 2203*f**3\/8 - 4441*f**2\/8 - 1113*f\/4 = 0.\nAnswer: -53, -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.46073 times -0.02?\nAnswer: 0.0292146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(-7)*i)\/i**10)\/(i**0)**(-46))**(-3))**(-4) assuming i is positive.\nAnswer: i**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4489648, 8979296, 13468948, 17958604, 22448264, 26937928, 31427596?\n\"Answer: 2*z**2 + 4489642*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -7912\nAnswer: 3\/7912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 11. Suppose 9 = -4*i - 4*s + 3*s, 2*s = i. Let c = i - -10. Let r be j(c). Is r greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, 0.1, 6\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**4\/9 + 94*q**3\/3 + 24*q**2.\nAnswer: -2*q**2*(q - 36)*(4*q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(80)*-4)\/(-1*sqrt(484) - sqrt(484)))\/(3*(-2*sqrt(160) + sqrt(160)) + sqrt(160) + sqrt(160) + sqrt(160)*1*5).\nAnswer: sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 33 + (-3 - 1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 v when four letters picked without replacement from tvaalpwwwwvwl?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c**2 - 7*c - 7. Let j(v) = -v**2 - v - 1. Calculate f(w) - 7*j(w).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*((sqrt(396) + (-4*sqrt(396) - sqrt(396)))*-2 + 0)*6)**2.\nAnswer: 8211456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1184 - -1189. Suppose -3\/2*x + 0 + 3*x**3 + 0*x**2 + 0*x**4 - 3\/2*x**j = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 11*r**2 + r - 64. What is the tens digit of j(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/4 - 245*x**3\/2 + 13101*x**2\/4 - 18945*x - 51975 = 0 for x.\nAnswer: -2, 15, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.3, 0.29, 424\/11?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*b + 72*b - 175*b - 366*b.\nAnswer: -564*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4108*n = 1252*n - 3939*n + 248431 - 873571 for n.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 25. Let a be (-2)\/(-8) + f\/4. Suppose -g + 3*g = 3*w + 57, -a*g + 4*w = -62. Solve t = 5*d + g, 0 = 2*t - 5*t + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653753077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 + -4.7. Let l = 8.0911 + u. Round l to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17972651710 to the nearest one million.\nAnswer: -17973000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -232 and -19961 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(7695\/216)*(-1)\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -0.7?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4240 - 2772 - 2612)*(4*c + 5*c - 4*c).\nAnswer: -5720*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*j**4 + 5490 - 5490 + (2 + 2*j**2 - 2)*(-j**2 - 3 + 3) to the form n*j + v*j**4 + d*j**3 + u + g*j**2 and give v.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-6272)*1239 + -19.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d**2 + 47*d - 13. Give h(7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -13. Let n = 15 + w. Suppose 7*y = n*y + 132. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**2 + 7188328*g - 62932035?\nAnswer: 8*g + 7188328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1858595, 1, 9 in decreasing order.\nAnswer: 9, 3, 1, -1858595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6894596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11769365 and 3.\nAnswer: -35308095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1658 + 0.0658. Let z(l) = -2*l**3 + 9*l**2 + 2*l. Let w be z(8). Let o = 4756\/11 + w. What is the nearest to y in -5, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*i + 13. Let o(q) = -1. Let s(k) = -k**3 - k**2 + k + 8. Let h(t) = o(t) + s(t). Let l be h(0). Solve 0 = -d + v + l, -7*v = -d - 2*v + i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*f + 12*f + 3*f**2)*(0*f**2 - f**2 + 2*f**2) + (4 - 3*f**2 - 4)*(0*f + 0*f + 2*f**2) to the form q + a*f**2 + i*f**4 + x*f + j*f**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/699870 and 71\/210?\nAnswer: 4899090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + 5*sqrt(891) - (sqrt(176)\/sqrt(8))\/sqrt(2) - (sqrt(165)\/(sqrt(9)\/sqrt(3)))\/((sqrt(60)*2 + sqrt(60))\/sqrt(12)).\nAnswer: 158*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252336763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f + 2*f**4 - f**2 + 1 + 2*f**3 + 3*f**2 - 38*f + 23*f to the form q*f**3 + j*f**2 + h*f**4 + w + z*f and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n*n**(-2\/31)*n))\/(n*n\/n**(1\/4))**6 assuming n is positive.\nAnswer: n**(-895\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 22*i + 27 = -2*t, 4*i - t = 66. Let j = 745 + -460. Calculate the greatest common divisor of j and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/3 + 7383*f - 6557598 = 0.\nAnswer: 927, 21222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Suppose -3*u + 2 = -i*x + 23, -2*u - 12 = -3*x. Suppose -3*q = -q - x. Solve 0 = -q*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30016 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101 is divided by 683.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 19733740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/19)\/(t\/t**(-2)))\/(t**(-18)\/t**(-17\/2)) assuming t is positive.\nAnswer: t**(243\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afa when three letters picked without replacement from ocoaafvfcfaffoffca.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14*d - 354. Let y be v(22). Let q be 48 + y + (1 - 1). Factor 28\/9*x + 16\/9 + 14\/9*x**q + 2\/9*x**3.\nAnswer: 2*(x + 1)*(x + 2)*(x + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4680 + -2124?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20201 (base 3) to base 7.\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574272 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14225421 or 56901685\/4?\nAnswer: 14225421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/13 + 11934*u**2 + 10385536*u\/13.\nAnswer: 2*u*(u + 67)*(u + 77504)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*i**3 - 17*i**2 + 2564.\nAnswer: 36*i**2 - 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*z + i, z - i + 3*i + 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19) + 0 + (sqrt(76)\/sqrt(4) + sqrt(19))*3)**2.\nAnswer: -42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 1. Let p(g) = -2*g**5 - 4*g**4 - 2*g**3 + 2*g**2 + 2. Let a(h) = 2*p(h) + 4*z(h). Solve a(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267926521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4, 2*v + 4*f = -0*v. Let x be ((-3)\/6)\/(v\/192). Let l = 47 - x. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a minute in milliseconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83060 is divided by 349?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 49.87 * 0.02\nAnswer: 0.9974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 174*u**2 + 339*u + 28564. Calculate o(-173).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 13*x + 57. Let g = -379 - -361. Does 6 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 5:19 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 14*a**3 + 5*a - a.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 105 = -w, -2*d + 244 = -5*w + 709. List the prime factors of w.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000623859 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 83731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(5\/9)\/i)*i**10*i*i*i assuming i is positive.\nAnswer: i**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 499332, 999703, 1500074, 2000445?\n\"Answer: 500371*r - 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 16*o**2. Let t(x) = x - 20. Let n be t(17). Suppose 440 = 6*y - 4*y. Let d(j) = -220 + 5*j**2 + y. Calculate n*m(r) + 10*d(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 40967.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 2*t + 1. Let h(k) = 1684*k**2 + 16*k + 8. What is h(r) - 8*v(r)?\nAnswer: 1676*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6274 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4 + t**3 + t**4 + 7*t - 11*t**2 + 20*t**2 + 4 + 4*t = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 11*v**2 - 12. Let c be n(11). Let x = c - -32. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 + -97. Suppose b - 4*a = 29, 4*b - 126 = -z*a + 80. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + 2*n**5 - 5*n**5 + (-3 + 0 + 0)*(0*n**5 - 3*n**5 + n**5).\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17)*b*b\/(b*b**(-2\/41)))\/(b**13\/b)**(1\/36) assuming b is positive.\nAnswer: b**(-2003\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 - 80. Let s be j(0). Suppose 31*w + 6270 = -20*w - 44*w. Let t = w - s. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k + 9. Let i be w(8). Let b be (-14)\/i - (-104)\/18. Suppose -17 = -x - b. What is the remainder when 20 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18419024 divided by 1083472\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -13*x + 9*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 - 85 = 2*l. What is the remainder when 1572 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*4\/(-140)*8\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1, 16, 17 in ascending order.\nAnswer: -3, 1, 5, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:56 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73010624 or 0.1?\nAnswer: 73010624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -319 to 0 dps.\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*-1*sqrt(208)*5)\/(sqrt(576) + (sqrt(576) + (sqrt(576) + 2*sqrt(576))*-5 - sqrt(576))))**2.\nAnswer: -25*sqrt(13)\/14 + 71629\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5, -358\/459?\nAnswer: -358\/459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4780 + -4779.5969. Round w to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from srtssrxxlr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.13 - -11.8. What is f rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*c. Let d be ((1 - c)*-2)\/(-2). What are the prime factors of (-3)\/(-3)*(1 + d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*u = 2*u + 8, 2*k - 23 = 5*u. Let x = 8 - k. What is the units digit of x - (-3 + 6)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227.859 millilitres in litres?\nAnswer: 2.227859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ryrgrygryggur.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 5. Let p be w(4). Suppose 5*v - y = 63, -5*y = v - 2*y - 3. Let m = v + -10. Sort p, -5, m in decreasing order.\nAnswer: p, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -26*n - 397. What is z(-12)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 31. Let w be t(12). Suppose 3*r + w - 35 = 0. Suppose 1 + 3 = 2*a. Calculate the lowest common multiple of a and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 25. Let d be r(7). Suppose -4 = d*o - 5*o. Solve o + 7 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*n + 420. Find the third derivative of -n*j**3 + 2*j**2 + 60*j**3 + 6*j**2 wrt j.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-10))\/((-870)\/(-75) + -12). Solve 55*y + 12 = -m*g + 56*y, 2*g + 4*y = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287*l**2*m - 36085*l*m**2 + 2*m**2 - 1143472*m with respect to l.\nAnswer: 574*l*m - 36085*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let i(d) = d**2 + 2*d - 6. Let q be i(-5). Let m be (6\/q)\/(2\/24). Solve m = o*k - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 71. Suppose -4*y = 2*n - 440, 0 = 5*y - i*n + 8*n - 548. Suppose y = 10*d - 168. What is the least common multiple of 12 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(d - 2*d + 2*d) - 20*d + 30*d - 17*d to l*d + b and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**4 + 281*b**3 - 16*b**2 + 2786503*b.\nAnswer: 72*b**2 + 1686*b - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*k**2 - 323*k + 106*k + 107*k + 112*k.\nAnswer: -689*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 - 911*z**3 + 915*z**3 + 6*z**2.\nAnswer: 4*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -55, -67, -81, -97, -115?\n\"Answer: -w**2 - 7*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 2, t: 6, u: 6, y: 1}. What is prob of sequence nnu?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1673049?\nAnswer: 1673054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Let v be ((-10)\/6)\/(20\/(-24)). Solve 0*t = -5*k - 2*t + 6, -3*k - 4*t - v = u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600.06971 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 11*n + 33. Suppose -3*w - 2*k - 75 = 2*w, -w - 8 = -k. Let c be z(w). Solve -c*y - 20 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-8)*(-84)\/(-10) + 6. What is the highest common divisor of s and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/3 - 977*m**3\/3 + 15817*m**2\/3 - 70447*m\/3 + 18536 = 0.\nAnswer: -993, 1, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*k + 221*k + 57621 - 57622.\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 (base 10) in base 8?\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 91*t**3 - 2*t**2 + 93*t**3 - 5 in the form q + u*t**2 + h*t + c*t**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 17*a - 6*a + 30, 0 = -4*g + 5*a + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -6*o + o, -4*o = 4*j - 4. Put -3, 2\/3, o in descending order.\nAnswer: 2\/3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.94 (b) -293 (c) 1 (d) -0.5 (e) 36 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - (-6)\/(-3))\/((-6)\/(-54)). Calculate the highest common factor of z and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-609)\/(-35))*(-2)\/(30\/81)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5 - 32*a**4 + 52*a**3 + 88*a**2 - 128*a - 128 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220.2228 - 0.2228. Which is the nearest to 0.4? (a) m (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/7 and -31\/320064183?\nAnswer: 2240449281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2195, -2191, -2185, -2177?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 9*j - 25. Let l(o) = -o + 1. Let p be l(j). What is the tens digit of (6\/4)\/(p\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.025 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -14 - 42. Suppose 3*t - f + 14 = 0. Suppose -44 - 24 = -4*q. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) -874 (c) 33 (d) 126 (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -2*t. Let o be (t\/12*-4)\/(6\/(-9)). Solve 0 = 5*f + 4*x, -6*x + o*x + 25 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 209, 217, 235, 263, 301, 349?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -13.3 (c) -4 (d) -3 (e) 1 (f) 27 (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -44 - (-10 - -37).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 3*z**3 + 0*z**3)*(-95 + 95 + 4*z).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4378 - 4447.72. Let h = 0.096 + -70.096. Let o = m - h. What is o rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64, -250, -552, -964, -1480, -2094?\n\"Answer: c**3 - 64*c**2 - c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 186 - 144 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + -2 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let t(c) = 19543961*c**2 - c. Calculate t(h(s)).\nAnswer: 78175844*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = v. Let b = 24 - 17. Suppose 15 = v*s - b*s. Which is bigger: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 69.9902um?\nAnswer: 0.0000000699902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 11 = 4*b. Let c(u) = 2*u**3 - 7*u**2 + 9*u + 1. Let h(v) = v**3 - v**2 + v + 1. Let a(q) = b*c(q) - 3*h(q). Give a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -24 (c) 2\/9 (d) -3 (e) -0.1 (f) -1 (g) 38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b95 (base 13) to base 11.\nAnswer: 1376a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 - 10 = 0. Let p = i - 1. Suppose -p = -3*o + 28. What is the greatest common divisor of 60 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 21*j**2 + 116*j + 163. Determine r(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118755063 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-3)\/10). Find the second derivative of 0*x**5 + 2*x + o*x**5 - 8*x**5 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010111 (base 2) to base 16.\nAnswer: 1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254540 and 8424?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/4 - 1215759*h\/2 - 7294545\/4 = 0.\nAnswer: -2431515, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*u + 32425, -6777 + 19727 = 2*u + 2*l. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 24 = -6*u. Suppose 0 = -u*i + i + 10. Suppose i*n + 12 = 2*s - 6, 0 = -2*n. Calculate the highest common factor of s and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 2, n: 2}. Give prob of sequence enin.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*u, 10*r - 9*r + 723*u = 727*u - 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -20, -45, -92, -167, -276, -425, -620?\n\"Answer: -i**3 - 2*i**2 + 4*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -10. Let m be (2*h)\/(-13 - -11). What is the remainder when 45 is divided by 92\/m*(2 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 - 11 - 1 + 11 + 11*j**2 + 2*j + j. Let k(b) = 2*b**2 + b. What is 7*k(g) - 2*t(g)?\nAnswer: 4*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333.7 + 333. Let w be (-49 + 48)*(-1)\/(-4). Which is the closest to 0? (a) 0.2 (b) z (c) w (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 314525276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13.5*-45.09\nAnswer: 608.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.4 + -5321904?\nAnswer: -5321860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4827\/5 - -974. What is the common denominator of m and -42\/95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/7)\/(i*i**(-12)*i) assuming i is positive.\nAnswer: i**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/((-3)\/3) + 2. Suppose 14 = k + i. Solve 3 = k*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*r - 10*b**2 - 4*b*r - 734*r wrt b.\nAnswer: 2*b*r - 20*b - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, q: 5}. What is prob of sequence pp?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -49. Solve m = -r*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 6. Let k(r) = 10*r**2. Give y(k(m)).\nAnswer: 10*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let h(r) = -r**3 + 9*r**2 - r + 11. Let o be h(9). Let l be -2 + o + 2 - -2. Solve -m*x + 4 = -4*i, -5*x + i - l = -2*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**7\/210 + u**6\/20 + 13*u**5\/60 + u**4\/2 + 2*u**3\/3 + u**2 + u. Let o(f) be the first derivative of l(f). Factor o(b).\nAnswer: (b + 1)**2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 2*l**3)*(-7*l - 2 - 8*l + 18*l) in the form u*l**3 + x + f*l + w*l**2 + b*l**4 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 124*c - 2931. Calculate x(23).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Find the third derivative of 6*o**2 - 2*o**i + 2*o - 2*o - 3*o**2 wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*u + 2*w, -1 = 2*u - 3*w + 8*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**8\/42 + c**7\/7 - c**6\/3 + c**5\/3 - c**3\/3 + 94*c**2 + 2. Factor r(m).\nAnswer: -2*(m - 1)**4*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191502749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 9*z + 19*z**3 + 8*z**3.\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.5 (b) -0.1 (c) 7\/2 (d) 0.5 (e) 0.0391 (f) 0.4 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, -30892, -5.\nAnswer: -30892, -5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 + -0.1.\nAnswer: -304.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92747.0339 rounded to the nearest ten?\nAnswer: 92750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/(-495))\/3*1640\/574\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1 (c) 2\/335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 6. Let w be (15\/9)\/(9\/(-27)). What is the least common multiple of o(w) and 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t\/(t*t**3))))**(-14\/9))**49 assuming t is positive.\nAnswer: t**(2744\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = -3*r, 2*u + 0*u - 8 = -5*r. Let q be ((-6)\/9)\/(r\/(-9)). Solve g = -q + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 2*r + 2*v, -1 = 3*r - 5*v. Suppose 0 = -8*n + r*n + 15. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (5 - (11 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-52)\/10218). Suppose t*r - 3 = 130*r. Sort -4, r, -5, -1 in descending order.\nAnswer: r, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)\/j**12)\/(j**4\/j*j*j\/((j**(-4\/3)\/j)\/j)) assuming j is positive.\nAnswer: j**(-308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 892*h + 48 = 895*h, r - 32 = -2*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12464416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-75))\/((-6)\/45*-3)*-24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 1383*k**2 - k.\nAnswer: 1383*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i = 29*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nttn when four letters picked without replacement from {g: 1, t: 4, n: 2, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42755, 42741, 42717, 42683?\n\"Answer: -5*g**2 + g + 42759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.7, 3, -14, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2477526 (base 12) to base 9\nAnswer: -14360053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185 + -164. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 170*x.\nAnswer: 5*x*(x - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536742581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5912, -11826, -17740, -23654, -29568, -35482?\n\"Answer: -5914*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6366, -36456, -86604, -156804, -247050, -357336, -487656?\nAnswer: -638004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w + 1. Let j(k) = -2*k + k**2 + 2*k + 5*k + 3. Let m be j(-4). Let p be r(m). Solve -i = 2*i + p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4 - (4 - (-3 + 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57440518 divided by -202\nAnswer: 284359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108372236.\nAnswer: 2, 7, 3870437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 5*k - 5*k + (4*k + 3*k - 4*k)*(-4 + 3 - 1) - 163*k - 25*k + 6*k - 31*k.\nAnswer: -222*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h**(-1\/5)))*h)\/(h\/(h**(4\/5)*h))*h\/h**(-3\/5)*h**(-3\/4) assuming h is positive.\nAnswer: h**(49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 506?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/5? (a) 4 (b) -0.0095 (c) -0.5 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1915*i**2 - i**3 + 0*i**3 + 1872*i**2 + 8 - 4.\nAnswer: -i**3 - 43*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -64*c + 767. Determine h(13).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*n = 16 + 3, -15 = 5*n. Let c = -11 + i. Solve c*a + 6 = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(24))\/((2*sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, f: 2}. Give prob of sequence eef.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((-20)\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*u - 12. Let m(o) be the third derivative of o**5\/60 - o**3\/2 - 395*o**2 - o. Calculate m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/39, 3, 0.01, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1678471\/244 - -6879. Calculate the common denominator of p and -19\/4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppep. What is prob of picking 3 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -14) + (-60 - -131) + -88 - (-42 + 1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c**3 - c**2 + 1 - 37*c**3 + c - 56*c**3 + 0*c. Let t be z(1). What is the tens digit of ((-3)\/(-5))\/(13\/(-65)) - t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 621582926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1462 + 2385. List the prime factors of w.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6564 - 6418. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1, 0.0307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 1135951.\nAnswer: 4203018.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5*i, -10*b + 9*b + 3 = 2*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84384 is divided by 60.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 40?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -120, 136, 500, 972, 1552, 2240?\nAnswer: 3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.206 (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide ((-10395)\/44)\/((-3)\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q)*((-2*q + 3 - 3)*(3*q + q - 2*q) + 3*q**2 + 3*q**2 - 5*q**2 + 4*q**2 - q**2 - q**2 + 233*q**2 + 3440 - 3440) - 4*q**3 + 3*q**3 + 2*q**3.\nAnswer: 465*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from tchttwtbwwtwwtwht?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.8 + -49.1. Which is the fourth biggest value? (a) w (b) -4 (c) -2 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = 60. Let s = -14 - l. Let n = 49 - 48.6. Put 1, n, s in decreasing order.\nAnswer: 1, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -23, -23, -9, 25, 85?\n\"Answer: c**3 - 2*c**2 - 9*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 840 - 19317\/23. Which is the third biggest value? (a) -0.1 (b) 1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5405, 10445, 15485, 20525, 25565?\n\"Answer: 5040*o + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2*l*s - 2*c**2*l - 48*c**2*s + 2*c*s - 4*c + 13102953*l*s - 202*s wrt l?\nAnswer: -c**2*s - 2*c**2 + 13102953*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 + 5 = 2*w, g - 4*w = -13. Suppose 11*j - g*j - 8 = 0. Let f = 26 + j. Calculate the remainder when 50 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 + 286. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than -0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (7 + 24 + -68)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (200\/(-14))\/((-4)\/14). Suppose g = -3*q - 2*q + u, 2*u - 1 = -q. Let h be 10\/(-6)*q*1. Calculate the highest common divisor of h and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (7 - 9) + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 922 = -c, 7*c - 11*c - 5*x = -3679. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 38567826?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 4*d - 8*d)*(-1 + 0 + 2)*(3*d**4 - 7 - 4*d**4 - 10).\nAnswer: 10*d**5 + 170*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 17*o**4\/2 - 29*o**2\/2 + 48. Find the second derivative of w(i) wrt i.\nAnswer: 204*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -759487\/20 + 37950. Let g be 658\/(-30) + (-2)\/3. Let k = a - g. Calculate the common denominator of 47 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.112 + -58.888. Is 0.01 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 677 + -684 - (2 + 4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 - l + 1. Let j(r) = -22*r**3 + 3*r**2 - 4*r + 2. Let b(f) = j(f) - 3*o(f). Give b(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -408, -403, -386, -351?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 10:17 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/3 - 4033*c\/3 - 579908\/3 = 0.\nAnswer: -139, 4172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 3?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 380666 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 64 = 2*n - 22, 196 = 4*n - 4*s. Let z = n - 51. Let i(l) = -l**3 - 4*l**2 + 3*l - 4. Give i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let z(a) = -a**3 - 5*a**2 - 6*a + 10. Calculate the remainder when z(-4) is divided by (-72)\/(-27) + 1\/s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, u: 1, r: 2, b: 1, i: 2}. What is prob of picking 1 o, 2 r, and 1 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-261)\/(-33) + -8)\/1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, c: 1, s: 2}. What is prob of sequence css?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1504943237 and -107?\nAnswer: 1504943344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14940 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/5 + 331*u - 72150 = 0. Calculate u.\nAnswer: -1850, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -334627 - 168?\nAnswer: -334806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 74*s + 465. Let j be q(7). Sort 5, j, 11, 4.\nAnswer: j, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(13)*1 + sqrt(13) + sqrt(13) + -1.\nAnswer: -4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*d**4\/7 + 47217*d**3\/7 + 82581*d**2\/7 - 47217*d\/7 - 11799 = 0. Calculate d.\nAnswer: -3933, -7\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -134, -5, -3, -4 in decreasing order.\nAnswer: 1, -1, -3, -4, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-330*r + 10526*r - 1238*r + 4813*r)*(9 - r - 9) to the form o*r**2 + k + x*r and give o.\nAnswer: -13771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1823 - 1769. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/8)\/(j*j**(-4\/19)))\/(j**(2\/13)\/(j*j*j*j\/(j\/(j\/j**(-8\/5))*j)*j)))**(-2\/15) assuming j is positive.\nAnswer: j**(-14101\/24700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 11, 22, 49, 98?\n\"Answer: s**3 - s**2 - 3*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/5652036 and -89\/181155.\nAnswer: 28260180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x = -41*x - 33. Suppose x*w + 5*u + 9 = 0, -4*w + 5 = 5*u + 22. Let q(r) = -r**3 - 2*r**2 + r. Let l be q(1). Sort l, w, 0.\nAnswer: w, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/3*-1*1. Let o = -10 - y. What is the remainder when -2 + o - (-12 - 4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 + 10*i**2 + 44*i + 14. Let t be o(22). Suppose -7*h + 15*h - 10768 = t. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 5*y - 57. Let l = -14 - y. Factor -4\/5 + 6\/5*w - 2\/5*w**l.\nAnswer: -2*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b - 2*b)*(b + b - b) + 8*b**2 + b**2 - 51*b**2 + (-b + b + 2*b)*(3*b + b - 5*b) + (0 + 0 + b)*(0*b + 0*b + 2*b) + 5*b**2 - b**2 - 3*b**2.\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210187428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 + -46. Suppose -y - c = -2*s, 0 = s - y - 35 - 49. List the prime factors of s.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + (14 - 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1 + 3*5. Let k = y - 14. Find the third derivative of -6*c**k - 4*c**2 + 2*c**2 - 4*c**6 + 4*c**2 wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -4. Let o be 6\/9 + h\/(-6). Suppose -3*x - 5*z = -173, x - o*z - z = 39. What is the remainder when x is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 39. Let q = 16 - a. Suppose -2*k + 4*d + 22 = q, 4*d + 7 = -1. Solve -3*s = -k*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -14. Suppose -5*b = 4*h + 11, -h - v*b + b - 5 = 0. Solve 3*f = -5*k - 21, 0*k - k = -f + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.12?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1715.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13011 - 9493. What is the remainder when d is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*o + 73, 4*j - 501 = 5*o - 396. Let u(w) = w**3 + 8*w**2 - 4*w - 6. Calculate the remainder when u(-4) is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5341 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3253*-0.5\nAnswer: -1626.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -2\/13 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 > -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 21880 and 21888 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5 + 787*b**3 - 783*b**3 to c*b + w + m*b**3 + s*b**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9584 (base 16) in base 2?\nAnswer: -1001010110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 105?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1965, -3934, -5901, -7866, -9829, -11790, -13749?\nAnswer: -15706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24*z**2. Let r(n) = 3*n + 4. Let i(j) = -10*j - 14. Let q(l) = -4*i(l) - 14*r(l). Give h(q(t)).\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6237014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 12730*a - 140635.\nAnswer: 5*(a - 2557)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*t + 52, 36342*t = -d + 36349*t + 56 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18888*a + 342 = 18717*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -h + 2*z + 98, h + 3*z = 87. Calculate the lowest common multiple of 45 and h.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -65*v + 1. What is the units digit of x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -0.085, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 46*g**2 - 72*g + 24. Let x be y(21). Suppose -2*l + 4*m + 147 = 15, -4*l + 5*m + x = 0. What is the greatest common factor of l and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1376 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 70?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, c: 1, p: 2, y: 1, r: 1, a: 3}. What is prob of picking 1 a and 1 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 311 = 20*t - 1728 + 394 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 9*s + 10. Give u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l**3 + 7*l**3 - 897367970 + 897367970 + 15*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -108 + 26 + 1 + (-3 - 6) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u**2 + 11*u - 13. Let g be q(3). Let j(h) = 10*h**2 - g*h + h**3 + 32 + 4*h - 21. Is j(-9) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/8 - 351*l**2\/8 - 10773*l\/8 - 29241\/8.\nAnswer: -3*(l + 3)*(l + 57)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, 1 o, and 1 v when four letters picked without replacement from {p: 2, o: 2, v: 3, f: 4, l: 2, x: 1}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 - 2*k**2 - 3 - 3505*k.\nAnswer: -2*k**2 - 3505*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081473799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-8)*10*8\/(-60). Let g = 1 - 1.04. Let i = g + 3.04. What is the nearest to o in i, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -13687 and 64487258.\nAnswer: 64473571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1136713*b**2. Let c(m) = -m**2. What is j(c(t))?\nAnswer: 1136713*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1130644 + -660644. What is o rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 534775603 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.1. Let b = 764.002988 - -0.057012. Let z = b + -764. What is the closest to 2\/5 in z, 2\/13, m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/4 + 2*u**3\/3 + u**2 - u. Let z(r) = -r**2 + 5*r - 6. Let h be -6*4\/18*-3. Let f be z(h). Determine o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let r be m(-4). What is the tens digit of 1*(-50*2)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/(-20)*3720\/(-118668)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(374\/1140) + 2\/(-11). Let x = v + 51. Does x = -3\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 128 - 30 = 0. Let a(n) = 34*n + 1006. Let k be a(-31). Do x and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11902 divided by 14743\nAnswer: -11902\/14743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2655 - -3938. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6149 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58.8 - -54. Round j to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*c + 108. Let x be (-2)\/(c\/(2 - 6)). Which is greater: x or -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2246 + -2244. Suppose 0 = -2*h - 4 + 18. Let t be (3\/(-9))\/((-1)\/12). Solve 3*l = -o*a + t*l - h, -3*a - 17 = 5*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + 1152313?\nAnswer: 1152375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h**2 - 3*h + 3*h + 18*h**2. Let j be 8\/(-36) + 4\/18. Let o(r) = 3*r**2 + 3*r**2 + 0 + j. Calculate o(t(m)).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 540963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.403 rounded to 1 dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 8*t**2 - 8*t - 6. Let r = -5 + 14. Let q be k(r). Suppose -q*i - 94 = 17. Find the common denominator of i and -18\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.9 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2506*g - 4172. Let b(x) = -167*x + 278. Let j(o) = -91*b(o) - 6*z(o). Find the first derivative of j(w) wrt w.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {t: 4, y: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 16, 2*q + 27 - 34 = -m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -90766 (base 16) to base 3\nAnswer: -1010001200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 9*b - 84. Solve 0 = b*o - 2*h - 1 + 9, 3*o = 3*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 29. Suppose -2*m = r - 15. Suppose -1230 = -4*k + d - 3*d, 2*d - 923 = -m*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+45364\nAnswer: 45363.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.177 - 1.13. Let k = -1.047 + r. Put k, -3, 2\/17 in ascending order.\nAnswer: -3, k, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/2))*k)\/(k**2*k)*(k*k**(-3\/11))\/(k*k**(1\/3)*k))**(-15) assuming k is positive.\nAnswer: k**(1025\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.14 + -0.56. Let d = 2.3 - h. Let w = -0.431 - 0.069. Sort d, -9, w, 1\/7.\nAnswer: -9, w, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95337856 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 - 9*s - 14. Let m(h) be the third derivative of h**5\/15 + h**4\/4 + 3*h**3\/2 - 243*h**2. Calculate 8*m(g) + 5*o(g).\nAnswer: 2*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -289, -665, -1185, -1837, -2609, -3489, -4465?\nAnswer: -5525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 - 281038*g\/11 + 6462816\/11.\nAnswer: 2*(g - 140496)*(g - 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -273*t**2*x**3 + 2*t**2*x*z - t**2*x + t*x**3*z - 21*t*x**2*z wrt z.\nAnswer: 2*t**2*x + t*x**3 - 21*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6062 (base 7) in base 12?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 12*k. Let f be b(-12). Suppose 0*r + 5*m - 62 = 2*r, f = r + 5*m + 1. Calculate the common denominator of r and (-3 - 78\/(-25))\/(2\/85).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7134311134\/45 + -158554224. Let q = -13976 - s. Find the common denominator of q and 121\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(396) + 2)*-3)**2*-4 + -1.\nAnswer: -524881 - 46656*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 6*v - 5. Let s be ((-20)\/8)\/(110\/(-20) - -6). What is g(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from eztvs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 9*j. Let o be u(-6). Let x be o\/(-3)*(-1)\/(-3). Let m(r) = r**2 + r + 1. Let b(t) = t**2 + 2*t + 1. Let v(a) = -4*b(a) + 5*m(a). Give v(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:55 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 18*d = -8. Let w(x) = -2*x**3 - x + 1. Let c be w(d). Solve -15 = -2*n + 5*n, -4*o = -3*n - c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0889 + -0.0111. Put -1\/5, r, 0.1, 7.5 in descending order.\nAnswer: 7.5, 0.1, r, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-200)*25\/(-70)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 30135451?\nAnswer: -30135454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -575a9 (base 13) in base 9?\nAnswer: -262303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/4)\/((-2)\/(-8)). Let k be 2 - (z - -5 - 1). Which is smaller: -6\/25 or k?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a - 2. Let i(g) = -2*g**3 + 9*g**2 + 6*g - 9. Let f be i(5). Sort 5, a, f in ascending order.\nAnswer: f, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100111111 (base 2) to base 9.\nAnswer: -2481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*sqrt(468)*-5 - -1*(sqrt(325) + sqrt(325) + (-4 + sqrt(325) - sqrt(325)) + 0)**2) + 5.\nAnswer: 1321 + 640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 41797*l**3 - 2*l**2 + 7*l + 8. Let y(m) = m - 2. Let o be y(10). Let k be j(o). Round k to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000346248639 rounded to six decimal places?\nAnswer: -0.000346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from anabaaannnnunna.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -387*h**2 + 8. Let n(i) = -116875*i**2 + 2420. Determine -1815*k(j) + 6*n(j).\nAnswer: 1155*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 16\/136516145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.869577 - 0.847. What is d rounded to 4 dps?\nAnswer: 0.0226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4200, -4602, -5002, -5400, -5796, -6190?\nAnswer: -6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -141 and 216.6.\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + v**2 + 0*v**2)*(-4*v**2 - 3*v + 3*v).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57411139 to the power of 1\/2, to the nearest integer?\nAnswer: 7577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53147*u + 69 - 618*u**2 - 53147*u - 26)*(-2*u + 4*u - 4*u).\nAnswer: 1236*u**3 - 86*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 2, w: 1}. What is prob of sequence ii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -7) + -3 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -75*s**2 - 15*s - 78. Let y(u) = 35*u**2 + 7*u + 39. Give 6*b(w) + 13*y(w).\nAnswer: 5*w**2 + w + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006193 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 29 = -g. Suppose -2*u + 5*q = -g, -3*q = -u + 19 - 4. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174197749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Let y = 3 + -1. Solve w - 2*z - o = -9, 3*z = -y*w + 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(5\/970). Calculate the common denominator of 5\/4 and 0 + h\/2 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 1. Let p be m(-5). Suppose -4*l - 8 = -s + 9, -l - p = 0. Let j be 12 + -4 - (s - -1). Solve -3*k + j*k + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -357*j - 362*j - 1247*j - 1336*j - 544*j to p*j + w and give p.\nAnswer: -3846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 333330 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uui when three letters picked without replacement from vyiyyuvy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 445696 and 768?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495 is divided by 77.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2839*g**3 + 2*g**2 - 29734 wrt g.\nAnswer: -8517*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3))**(17\/4)\/((x\/(x*x**1\/x))\/x)**(-23) assuming x is positive.\nAnswer: x**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -19*p**3\/6 + p**2 + 10*p. Let y be a(-5). Suppose 7*u = 358 + y. What is the greatest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 s, and 1 e when four letters picked without replacement from sressrsresrsss.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -19, -21, -23?\n\"Answer: -2*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcjs. What is prob of picking 1 c and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 15 - 4*f)*(-24 + 11 + 21) in the form t + u*f and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/14 and (-107)\/(-3)*138\/(-1012)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4087*r + 4090*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 6*u + 5 - 19.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6109 and 31141?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1553.4 - -1562. Let u = -63 - -71.4. Let l = r - u. What is the third biggest value in -3, l, 20, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:36 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4\/1835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -249 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 23*p**3 - 2*p**2 - 2. Let h(v) = -23*v**3 + 3*v**2 - 513 - 482 + 998. Determine 2*h(n) + 3*j(n).\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 22*v**2 + 48*v - 4. Let b be m(-24). Let t = -1 - -2. Put t, 2, b in decreasing order.\nAnswer: 2, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - 2*sqrt(1836))\/(sqrt(108)*4) + 0 + -2)**2 + 2.\nAnswer: 11*sqrt(17)\/6 + 5513\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*y**5 - 5119560*y**4 + 11263638*y**3 - 9267068*y**2 + 3379182*y - 460800 = 0 for y.\nAnswer: -25600, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 370 - 4*q + 61.\nAnswer: -2*q - 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12895*w**2 + 5*w + 59.\nAnswer: -25790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1659 (b) 138\/7 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0 + 0)*(-32149*k**3 - 6449 + 16071*k**3 + 16072*k**3) to a*k**4 + c + p*k**3 + s*k + u*k**2 and give s.\nAnswer: -6449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (12\/3)\/(2 + 0) and 80\/(-30)*(-15)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/785 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 205*l. Let k be o(5). Suppose -6*w - 222 = 11*w - 919. What is the highest common divisor of k and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/120 and -31\/341994.\nAnswer: 6839880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z + 282. Calculate the remainder when v(6) is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140084*-1.\nAnswer: 140084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -319.6871 - -318.18. Let f = -1.5 - w. What is f rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142345 and 4627665?\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -122, -170, -218, -266?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 936 + -8426\/9. Let n = 1 + 3.4. Let j = -4 + n. Put j, b, -3 in descending order.\nAnswer: j, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-79) - (150 - 150). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.025 less than -6\/27001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*v + 42356 - 2370119, 4*i = 2*v - 2327758. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**29)**(2\/33)*f**(-8\/15)*(f*((f\/(f\/(f\/((f*f**(-2))\/f))))\/f)\/f)\/f*f)**(-41) assuming f is positive.\nAnswer: f**(-21812\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/42)\/((-1)\/(-4)). Suppose n + 4 = -5*o - 21, 4*n + 15 = -3*o. What is the closest to -1\/4 in n, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58430254100 to the nearest one million.\nAnswer: 58430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6727)\/17010 - (-1)\/((-25)\/(-3 + -2)) and 47\/270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.8 + -34.2. Let m = c + 43.99924. What is m rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 53*h**2 + 4*h - 4. Let s(t) = -53*t**2 - 3*t + 3. Determine -3*c(b) - 4*s(b).\nAnswer: 53*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374*f**5 - 362*f**2 wrt f?\nAnswer: -22440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-18) - -1 - (-2679)\/9. Calculate the highest common factor of b and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76382653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0.4, -0.6, 1\/6, 353?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 258 - 89 = 0. Suppose i + 3*u = 872, i - t = u + 521. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30330321 + -10?\nAnswer: 30330311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6584 is divided by 1441.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -14) + (6 - (-5 + 9 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25.8313*0.3\nAnswer: 7.74939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = -4*k + 22*s - 15, 0 = -3*k - 3*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**4 - 15*c**3 - 121*c**2 + 6. Let z(g) = 23*g**4 - 44*g**3 - 364*g**2 + 17. Let o(n) = 17*k(n) - 6*z(n). Find the third derivative of o(j) wrt j.\nAnswer: -48*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4, 0.1, -10, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6280567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:50 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/324)\/((-1)\/(-3))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0 + 0*f**3 + 0*f - 13\/24*f**4 - 5*f**2. Let k(j) = -j. Determine k(b(u)).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -5864384\/79 and -74234 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460782570?\nAnswer: 2, 3, 5, 73, 210403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + 3*t**3 + (-3*t**3 + t**3 + 0*t**3)*(-10 + 3 - 14))*(3 - 2 + 0).\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (89 - 100 - (-2 - (3 - 4))) + 67\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15633021 and 6634.\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -32124?\nAnswer: 32115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186664.6 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 783 + -770. Suppose 59949 - 20260 = v*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15591 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*q - 252 = -69*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from fftfggtgfftfgt?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -26533823 divided by 5\nAnswer: -26533823\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1043 - 508. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -741?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90111528 and 39520?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 times -0.4?\nAnswer: -245.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1581, -1587, -1593, -1599, -1605, -1611?\n\"Answer: -6*k - 1575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Differentiate -6*s**4 - 1 - h + 12 + 3 wrt s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x + 51. Let g be l(-6). Solve -12 = g*c - 6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Let p = 431.7 + -446. Let n = p + 14.5. Which is the nearest to 2\/7? (a) n (b) -1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20927543 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, 1 k, and 1 s when four letters picked without replacement from szckkic.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 7*i**2\/2 + 2*i - 12. Differentiate a(u) with respect to u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-50) - 3\/((-30)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1229546731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 - 230. Let z be -5 - o\/9 - 4. Put 0.3, z, -5 in descending order.\nAnswer: z, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2174*r**2\/5 - 3395784*r\/5 + 6248\/5 = 0.\nAnswer: -1562, 2\/1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 12:56 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n = -32*n + 3*p + 9, 2*p - 18 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1376 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119735 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 57. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170381 - 2645 = -65*z + 281324. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(539) + -1 + sqrt(539) - sqrt(539))*-2)**2 + (sqrt(99) + ((sqrt(99) - (sqrt(99) + -1 - sqrt(99)))*1)**2 - (sqrt(99)*2 + 2 - sqrt(99))**2).\nAnswer: -227*sqrt(11) + 8637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s + 72*s = 3*k + 13, -5*s + 15 = -5*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - b = 2, 0 = -3*a + a + 3*b - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, -171, -614, -1247, -2034?\nAnswer: -2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17761543 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/720*(6 - 39\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -20. Suppose -3*x + 34 = 2*d, -2*d + 2*x = v*d - 68. Calculate the greatest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15224 and 56398?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = b, -2*b - 24 = -6*g + 3*g. Let a = 6 - g. Is 0 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**8\/672 + q**6\/80 + q**5\/60 + 2*q**2 - 8. Factor n(t).\nAnswer: -t**2*(t - 2)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954.216 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 8. Suppose 3*r + v = 12. Let c = 2 - 2. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, v: 4, m: 3}. Give prob of sequence smv.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.1 - 54?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*q**3 + 6902*q - 6902*q + 165*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bibi when four letters picked without replacement from biiibibbbi.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 353*c - 3128 + 13718 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 93278*v**3 + 93275*v**3 - 186542*v**3.\nAnswer: 11*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = a. Let g = 2870\/9 + -57139\/180. Find the common denominator of a - ((-35)\/(-8) - 0) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)*h**(-8\/3)\/h assuming h is positive.\nAnswer: h**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/5)*r)**(-20))**(18\/13)*(r\/(r*r*r**6\/r)*r*r*r*r**(2\/7))**29 assuming r is positive.\nAnswer: r**(-11699\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5 + 105*j**4 - 918*j**3 + 1020*j**2 + 6600*j = 0.\nAnswer: -2, 0, 5, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - n = 4, -938*b + 2*n + 4 = -936*b. Solve 4*l - 18 = b*j, 2 = 2*j - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -1021108.\nAnswer: -7147756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -443.376 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 - 12 - 7 - 4*o - 31 to v*o + q and give q.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 666*i**5 - 652*i**3 - 135323*i**2 wrt i.\nAnswer: 39960*i**2 - 3912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747*f - 1762*f = 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 6*p**2 + 6*p - 3. Let f be 1\/(-6) + (-40144)\/(-96). Let u be (-1)\/(-5) + f\/110. What is q(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 6*x**2 - 1 - 2*x + 11*x**2 - 17*x**3 + 15*x**3 to the form w*x**2 + j*x + c + q*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:30 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 151. Let d = f - 54. Suppose -3*p + 9 + 3 = 0. What is the least common multiple of d and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwewelelleeleewewlwl. What is prob of picking 1 l and 2 e?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 40 (b) 0 (c) 7.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -11 times -2329600\nAnswer: 25625600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b - -52?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215 - 175. Put 1, -1, g in increasing order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/19888 and -121\/5120.\nAnswer: 6364160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24911766 rounded to four dps?\nAnswer: -0.2491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-85)*(-6)\/(-4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {q: 2, h: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -20*t + 26. Let c(u) = 4*u - 5. Determine -11*c(p) - 2*h(p).\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 12*c - 8, 0 = -3*a + 2*c - 20. Let z be (0 - (-6)\/15)*(9 + a). Let m = -2 + 0. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5484 + 38385\/7. What is the closest to 2\/5 in 2, c, -21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (20\/3 + -6)*(7747 - 1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15520.84ms?\nAnswer: 15520840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6000121 + 3.6. What is y rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*q = 16, 0*q + 10 = 2*f - 2*q. Suppose l = -f*l. Suppose l - 2 = -t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 + -5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 516539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-126)\/(-35) - 6499\/1340. Let r = 2 + -2.4. What is the nearest to -4\/7 in 1\/4, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -19*m**2 + 160*m - 190. What is s(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151834 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: Let a = 398 - 277. Let l = -557959.9823 + 557839. Let c = a + l. Round c to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1758*w**6 + 221*w**2.\nAnswer: -210960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 126795 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**3 - 3*s. Let m = 88 + -83. Suppose m*n = 10*n + 20. Let g(l) = l**3 - l. What is n*i(j) + 12*g(j)?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5076 divided by 27.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8*y**3*y)**(-40)*(y*y**1\/y)**(3\/20)*y**3*(y*y\/y**1)\/y assuming y is positive.\nAnswer: y**(-9537\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 4*t**5\/35 + 2*t**4\/7 - 4*t**3\/21 - 4*t**2\/7 - 327. Factor p(z).\nAnswer: 4*z*(z - 1)*(z + 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c**4 - 4205868*c**2 + 128794073 with respect to c.\nAnswer: 32*c**3 - 8411736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-9 + 11 + (-4 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 3 = 13*d. Let m(z) = 14*z**2 + 3*z - 1. Calculate the least common multiple of m(d) and 3*(20\/6 - 0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + -21?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 29\/3, 0.134, -0.5, -4\/11?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149992 divided by -141.\nAnswer: -149992\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59062711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 68259 = 68235 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 2, v: 1, b: 13}. Give prob of picking 2 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 2*q + 14. Determine c(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (3 - 10) + -4 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - -0.792.\nAnswer: 71.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-110)*5346\/(-8505)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/7)*x)\/x**(-9)*x\/(x*x*(x**(1\/7)*x)\/x)*x**(5\/7)\/x assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2176 = -5*l, -5*l = 2*m - 0*m - 1088. Find the common denominator of 67\/8 and (2\/(-3))\/(m\/(-867)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-4)*(-1)\/((-80)\/(-64))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 8*y + 11*y + (2*y + 0 + 0)*(-2 + 3 + 0) - 7 + y + 7 + 2*y - y - 2*y in the form i*y + c and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063350129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -32 + 38 + -7 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23220 + 23220 - 114*d**2)*(0 + 0 + d**2)*(1 - 5 + 0) to the form w*d**4 + t*d + o*d**2 + f + x*d**3 and give w.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 78, 144, 228, 330, 450, 588?\n\"Answer: 9*q**2 + 21*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*((-4 + 0 + 2)*(-1 - 1 + 4) - 7 - 6 + 6 + 3 + 0 + 5)*(h - h - h).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -319.7 - -334. Let q = -10.3 + a. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 48, 51, 54, 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v - 3. Let f(i) = i - 2*i - 3 + 3*i. Let j be f(3). Let b(z) = 2*z - 2 - 7*z + 0. Calculate j*d(r) - 5*b(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4649252*v + 12111*v**2 + 2383 + 4649252*v wrt v.\nAnswer: 24222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 749*q - 252*q - 249*q + 29 - 253*q as v*q + t and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 270338786.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/((20\/(-4))\/(-5)). Let h be x\/(-2 - 12\/(-8)). What is the greatest common divisor of 135 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-78) + (-35)\/15 + 2. Let k = f - -50\/91. Let q = -42\/11 - -316\/77. Which is the closest to q? (a) -2\/11 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, x: 1, n: 5, y: 3}. What is prob of sequence ylyx?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 7190288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 36468?\nAnswer: -36473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 23 - 5. Which is smaller: t or 1\/160?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -947 + -5544834398.\nAnswer: -5544835345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4514027 is divided by 129.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 4*x**3 + 3*x**3 + 0*x**3 - 6*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28096?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 5 + -13 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 519, 1056, 1593, 2130?\n\"Answer: 537*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 110668635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2. Let d = -1 + 1. Let q(p) be the first derivative of 6 + p**2 + d*p**2 - p + p. Calculate q(n(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -3?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45091231\/1008 + -89467\/2. What is the common denominator of 145\/792 and i?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c + -5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184175024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16371, 16453, 16591, 16785, 17035?\nAnswer: 17341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:09 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:50 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 17*z - 14 + 10 to the form x + b*z and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*t**3*y*z**3 + 1126*t**3*z**2 - 2*t**2*y*z**3 - 201*t**2*y + 2*t*z**3 - y*z**2 - 19*y*z wrt t?\nAnswer: -972*y*z**3 + 6756*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by (2470\/(-104))\/((-15)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2608091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 862740438980 - 41.\nAnswer: 862740438939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 79*c**6\/30 + 117*c**4\/8 - 170*c**2. Find the second derivative of s(y) wrt y.\nAnswer: 1896*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40683.1 - -39102. Let k = -1661 - r. Let j = -80 - k. Is j != 1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5)*3*-5 + 3).\nAnswer: -90*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*t - 895, 0 = -2*t - 0*t - 2*y + 586. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/(-273)*(21 + 3984\/(-176))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/17))**(1\/72)*(t*t**38)**(4\/7) assuming t is positive.\nAnswer: t**(31817\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*l - 5. Sort -1, 2, l in descending order.\nAnswer: l, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15578*d - 15594*d + 192 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:17 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8833318 to three dps.\nAnswer: -0.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 (base 13) in base 5?\nAnswer: -1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 6:54 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.3872987 to zero decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1 - 1 + 6 - 1 + 7*i + 9*i**2 - 1. Let d(w) = -5*w**2 - 4*w - 1. Calculate -5*d(b) - 3*y(b).\nAnswer: -2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 1 - (-9 - -2). Let q(c) = 3*c**2 + 12*c - 4*c + 0*c - b*c. What is the tens digit of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 2*i**2 + 2*i + 2. Calculate u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and 158218.\nAnswer: -11549914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 + m. Let d be i(0). Solve z + d*z = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 0)\/(36\/(-30)). Which is the second smallest value? (a) 1 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6)*-3 - -4. Suppose o*t + 0*t = 295. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4 - 1884*u**3 + 198184*u**2 + 409596*u - 605898 = 0.\nAnswer: -3, 1, 123, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.73 - 27.73. Let j = 2 + -2. What is the closest to j in -1, -0.6, f?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 26. Suppose -2*s - 2*s - r = 0, -u - 3*s + 1 = 0. Suppose -m = 3*c + u, 3*m + 1 + 0 = c. Is -1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.6 + 1.4. Let j = b - 14. What is the third smallest value in j, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 + 110*h**2 - 119*h**2 - 2 wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/18*290\/(-240) and 131\/126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31256026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -16 + 1309 + -6 + (-8)\/(-1)?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34008674 - -7208682. Let y be t\/4 - 1*2. What is y rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 3*i**2 + 10*i + 2. Let g be o(-3). Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038428 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36692659 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 88 + 145 = 41 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 147\/20*w**5 + 0*w**4 + 0*w**3 - 18*w + 1\/14*w**7 + 0 - 7\/5*w**6 + 0*w**2. Let x(s) = 0. Calculate s.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 8*x - 4. What is p(-17)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 15313950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 217043 take away 2524288?\nAnswer: -2307245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1277, 5252, 11855, 21080, 32921, 47372, 64427, 84080?\nAnswer: 106325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**3*n**3 - 69*a**3*n**2 - 338*a**2 - 181*a*n**3 + a*n**2 - a - 127950*n**3 wrt a?\nAnswer: -54*a*n**3 - 414*a*n**2 - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 42220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6818.37 decades?\nAnswer: 68183.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from qqqhqqhqhqhqqq.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000 - 1110?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 5*h**2 - 5*h - 5. Let l be n(-4). Let b = -117101 - -117096. What is the biggest value in b, -2\/7, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/22 (b) 1707 (c) 2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -5*n**3\/6 - 3*n**2\/2 + n. Let i(l) = l + 1. Let g(t) = 12*i(t) + 3*z(t). Let h = 22 - 18. Give g(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 33 = 3*u. Suppose -17 = l - u. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000719 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8247006ug?\nAnswer: 0.0000000000008247006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -1048.\nAnswer: -146.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1197 - 24 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 8. Let r be a(6). Suppose y - 1 = 2*y, -y + 7 = r*j. Solve -3*k = -j*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*x + t, 7*x - 3*t - 281038 = -2*t - 281041 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 0.4 (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 112380?\nAnswer: 112378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*b**2*n**2 - 24*b**2*p - 72*b*n*p**2 + 83677*b*p**2 + 1632797*n**2*p**2 wrt n?\nAnswer: -296*b**2 + 3265594*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/10)\/(6\/15). Solve 22*u + 60 = o*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 842422?\nAnswer: -6\/421211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -114 - (31 + (2 - (43 + -33)))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(11) + 5 + sqrt(11) + (1 + sqrt(11))*1 - (1 + sqrt(1100) + -5 + sqrt(1100) + sqrt(1100) + -1)**2.\nAnswer: -9919 + 301*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48, 41, 22, -15, -76, -167, -294?\n\"Answer: -d**3 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 239095 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -23*j**5\/5 - j**4\/2 - 28*j**3 + 17. What is the third derivative of u(x) wrt x?\nAnswer: -552*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33032449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let d(q) = -q**2 - 1. What is -b(y) + 2*d(y)?\nAnswer: -2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5452 - 5451.9997369. Round z to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 1*-4*1. Suppose k + z*k - 9 = 0. Suppose -3 = -f - 3*g - 1, 0 = -k*g. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167 and 1169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u - 4. Let q be (-2)\/2 + 50 + -48. Let i(o) = -o + 1. Calculate q*r(k) + 6*i(k).\nAnswer: -12*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plg. Give prob of sequence pl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 5 - 10 - -1 - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 17. Suppose i = -5*l - 4*t + 88, 0*l - 4*t = 3*l - 56. What is the greatest common factor of 168 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 174*b - 2750. Let x be z(16). Let k = 518 + -331. What is the highest common divisor of k and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 777 = -j. Let l = 387 - j. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 848 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c + 10. Let v be p(7). Suppose s + v = -2*s. Find the common denominator of ((-2)\/8)\/(s\/248) and -55\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.03 (b) -0.5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*h**2 - 98593*h**3 + 62950*h**3 - 72*h**2.\nAnswer: -35643*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -3 - 3) + 6. Put 8, 3, q in descending order.\nAnswer: 8, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14251839?\nAnswer: 3, 7, 678659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5274651?\nAnswer: 3, 281, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g + 316 = 0. Let w = g - 73. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5\/7 + 4988*k**4\/7 + 4200204*k**3\/7 - 14956*k**2\/7 - 12610552*k\/7 - 8400384\/7 = 0 for k.\nAnswer: -576, -1, 2, 1823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.59747 and 31465.\nAnswer: 31466.59747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27\/31 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1064 + 9841*z + 1389 + 7374 wrt z?\nAnswer: 9841","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -202 - 3\/2*a**2 + 0*a. Let o(h) be the first derivative of -7*h**3\/3 - 1. What is d(o(k))?\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.837316 rounded to 2 dps?\nAnswer: 19.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.07675056 to three decimal places.\nAnswer: -73.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2. Let w(l) be the third derivative of 3*l**4\/2 + 5*l**3\/6 - 24*l**2. Let b(j) = 35*j + 4. Let m(g) = -5*b(g) + 4*w(g). Give k(m(t)).\nAnswer: -961*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 159064, 159640, 160216, 160792, 161368, 161944?\n\"Answer: 576*g + 158488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 17*z**2 - 1. Let k = -10 + 13. Suppose 0 = k*t + 5*q - 0 + 8, 0 = -t + 4*q + 3. What is the tens digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168.938 - -0.938. Let j = m + 71. Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*k**2 + 4564*k + 4563*k + 4558*k - 13685*k.\nAnswer: -114*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31535 and 2380?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/38)*j\/(j\/((j\/(j**(-3)\/j)*j)\/j)) assuming j is positive.\nAnswer: j**(189\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83\/36 or 15.93?\nAnswer: 83\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 981, 1831, 3029, 4581, 6493?\nAnswer: 8771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27658, 25321, 22984?\n\"Answer: -2337*j + 29995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1662*r = 1660*r + 3*t + 2, 4*r = -4*t + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -27*c - 17. Let t be i(-7). Let m = 281 - t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 + 1036 = 191*a - 548 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 5\/5044381 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -122, -196, -322, -512, -778?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -3. Suppose -z = 5*y - 123, 8*y - 5*y - 2*z = 66. Suppose 3*k - 58 = 4*g, 0 = -2*k + 3*g - y + 63. What is the lowest common multiple of k and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364586 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6)\/u)**(-7\/2)*(u**(-12)\/u)**(4\/13) assuming u is positive.\nAnswer: u**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*c**3 + 180*c + 11*c**2 - 70*c**2 - 18*c**3 wrt c.\nAnswer: 12*c - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4110 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 63996*l + 2278. Let a be u(17). Round a to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2. Let x(b) be the third derivative of 0*b**3 + 0*b**4 + 0*b - 16*b**2 + 0 + 1\/20*b**5. Determine x(r(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 410599\/20 + -20524. Find the common denominator of f and 101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437264929 equal to 437264929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.137 - -25.137. Let u = -23 + o. Which is the third smallest value? (a) 4\/7 (b) 2\/5 (c) -3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 2*w + w - 2*w + 6. Let r be l(6). What are the prime factors of 12*(2 - r\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*(-24)\/40 + 703. Let g = w + -704. Which is the nearest to -0.1? (a) g (b) 12 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v = -444. Suppose -2*h = h - v. Solve 3*m - 5*w = 34, 5*w = m - h + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*o + 49*o + 47 - 416 = 0. Solve o = 3*a - 6*m, a - 5*m = 6 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368*324\/(-1863)*(-6)\/(-8)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/407 or 0.465?\nAnswer: 0.465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2 (c) -258 (d) 0.5 (e) -47 (f) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12229379.83099 and 0.2.\nAnswer: 12229380.03099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b46 - -46?\nAnswer: -2b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**2 + 63*x + 16. Let t be g(-20). Suppose t = 25*r - 19*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3)\/(-6) + 48\/8 - 18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 17*y**2 + 15*y + 460. List the prime factors of c(-18).\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*k + 1717 - 20729 = 0. Calculate the greatest common divisor of 77 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25432032515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or 23926?\nAnswer: 23926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134896 divided by 33724.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 118 = -2*c. Let u = 132 - 58. Let f = u - 43. What is the highest common factor of f and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169389 is divided by 168961.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 28*n**3 - 6909*n**2 + 20952*n.\nAnswer: n*(n - 97)*(n - 3)*(n + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17\/5 + 97\/30. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 139, 529, 1187, 2119, 3331?\n\"Answer: y**3 + 128*y**2 - y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {m: 7, p: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1 + (0 - 0). Suppose -202*m + 207*m + 10 = 0. Let s be (28\/(-112))\/((-1)\/m). What is the smallest value in s, d, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 50, 97, 142, 185?\n\"Answer: -f**2 + 52*f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4770660 and 4770660?\nAnswer: 4770660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9033, 9034, 9035?\nAnswer: 9036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 221279, 442576, 663873, 885170, 1106467?\n\"Answer: 221297*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -1.6 (b) 3 (c) -0.5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 12*w - 17*w + 35 = 0, l = 2*w - 8. Let s(k) = -k**3 - 6*k**2 + k + 4. Determine s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2116 - -2040) + 26 + 1 - 28\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64\/5 of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-18)*3\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 0*z + 1296 = 4*z + 1330, 8 = -x + 2*z - 2 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (244*f**3 - 118*f**3 - 74*f**3)*(17*f - 16 + 16) in the form u*f**2 + c + n*f**3 + p*f**4 + y*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 160*q**2 + 5260*q - 815. Determine c(-188).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2. Let x(k) = 5*k**3 + 6*k**2 - 12. Let h(i) = -x(i) - 6*z(i). Find the first derivative of h(w) wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1149 (base 12) to base 6.\nAnswer: 12533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h**2 + h - 5. Let u(t) = -3*t**2 + 1. Let j be 62\/(-4)*(-2 - 0). Suppose -2*f = 3*d + 2*d - 53, 2*f = -3*d + j. Give d*u(x) + 2*w(x).\nAnswer: -x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 17867556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:39 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -529 + 529.00002553. What is j rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 2*w**3 + 36*w**3.\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4069 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-7 - -20 - 18)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7071.6 centimeters to nanometers.\nAnswer: 70716000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5668*s**3 - 65*s + 65. Let q(l) = 177*l**3 - 2*l + 2. Calculate -65*q(v) + 2*x(v).\nAnswer: -169*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 44*x - 256. Let k be g(16). Let w = 452 - k. Solve 12 = 4*h, w*u - 3*u = 3*h - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**3 + 5*p**2 - p - 3. Let z(k) = -k**3 - k**2 - k + 1. Let y(n) = g(n) + 2*z(n). Is y(2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -86, -121, -154, -185?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20520 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.951 + -23.961. Which is the biggest value? (a) -1 (b) 2 (c) 6\/11 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7416 - 7766\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 1. Let k be y(-2). Solve 5*g - 5*b + 20 = 0, -g + 3*g + 9 = k*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0 + 0)*(-j**3 + 0*j**3 + 3*j**3) - 70*j**4 + 43*j**4 - 46*j**4.\nAnswer: -75*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 + 23) - -25 - (-2 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34204 + 124003?\nAnswer: 45355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 221510850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 663239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + 148. Let h = -154 + i. Let q = -20 + 30. What is the least common multiple of q and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -14 + 6 - (1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8678 = -3*q + 8581, 0 = -4*q - 6*v - 118 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/86 greater than 3\/19865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2284512+1543.8\nAnswer: 2286055.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 2?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:24 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1504232 - 51?\nAnswer: 1504171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l**2 - 2 + 1\/3*l**3 + 0*l. Let p(u) = -4*u**2. Calculate p(s(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) -5 (c) 1\/6 (d) -3.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-57)\/7 - 2\/14. Suppose 4*k = -5*a + 7*a, -m*a = 3*k - 22. Solve -4*n + 2*u - 8 = -5*n, -a*n - 4 = -u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -1401421134?\nAnswer: 1401421200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29467343393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54637, 219704, 494815, 879970, 1375169, 1980412?\n\"Answer: 55022*s**2 + s - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 11:01 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18624079, 37248172, 55872277, 74496400, 93120547?\nAnswer: 111744724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - (26 - (-1 - (3 + -18)))) + 10\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 40*p**2 - 341. Let l(b) = 2*b + 173. Give c(l(w)).\nAnswer: 160*w**2 + 27680*w + 1196819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -471084610 rounded to the nearest 100000?\nAnswer: -471100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-2 + (-52)\/(-32)). Let d be (w\/(-6))\/((-12)\/(-108)). Let x = d - 66. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 34. Suppose -2*k - 11 = -m. Put 2, k, 5 in descending order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (159*c + 721 - 721)*(2 + 0 - 1) as i*c + v and give i.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2. Calculate b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*o**5 + 3*o**6 + 5*o**5 - 2*o**2 - 2907*o**4 + 2907*o**4 - 2 wrt o?\nAnswer: 360*o**3 + 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1006)\/8 + 1\/(-4). Let c be f\/15 + 6\/15. What is c rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3000637 - 6529.8.\nAnswer: -6526.4999363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 336355254 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 3*w)*(-1 + 5 + 1 - 4 - 3 + 10 + (2 + 2 - 3)*(-2 - 2 + 2) - 1 + 1 - 1 + 1 - 3 + 3).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 8974982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + g = -3*j + 4, 0 = -4*j - 2*g - 4*g + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 1 (c) -3\/8 (d) -2\/17 (e) -279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 - 3*i**2 + 3*i. Let n(w) be the third derivative of -7*w**6\/120 + w**5\/12 - 5*w**4\/24 + 23*w**2. Determine 10*k(c) + 6*n(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(13\/2)\/w)**(4\/7) assuming w is positive.\nAnswer: w**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5923790484802 and -2.1.\nAnswer: -5923790484804.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-22) + -9 + (-4 + -2)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 5\/3 (b) -0.5 (c) 30 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 26 - 7*k**2 + (-3 - 2 + 3)*(2*k**2 - 2*k**2 + 3*k**2))*(39*k - 23*k - 3*k) to the form r*k**3 + y + h*k + i*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let h be (-21)\/(-5) - 3\/15. Let j(s) be the second derivative of 0 + 0*s**3 + 1\/12*s**h + 0*s**2 - s. Give j(x(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z. Let j(i) = -17*i + 15 - 5*i + 16*i + 15 - 45. Calculate k(j(d)).\nAnswer: 42*d + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 84683440 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: Simplify (2*6*4*((sqrt(72) - sqrt(72)*2*-1) + sqrt(72)))**2.\nAnswer: 2654208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 7:36 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3 + 2964*o**2 + 5940*o = 0?\nAnswer: -2, 0, 990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775486891.\nAnswer: 1775486891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - r + 14, 2*l - 3*l = -2*r + 10. Let g = 109 + -109. Let i be (g*(-4)\/(-12))\/(3*-1). Which is the smallest value? (a) -1 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:41 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 2*k + 24 = 0. Suppose 4*h - 31 = k*c, -2*h - c = -5*h + 22. Let a(i) = -i**3 + 9*i**2 - 15*i + 25. Does 9 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 2363119170*s + 279216610581074445.\nAnswer: 5*(s - 236311917)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 34. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q - 2*l, -5*q + 24 = -0*q + l. Solve 0 = 4*f + 8 + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (100*t**3 - 660*t**2 + 660*t**2)*(2410 - 1205 - 1213 - 4*t) as s*t**2 + u + o*t**4 + l*t**3 + d*t and give l.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 235. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 45. Calculate k(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 19*l**2 - 2*l + 29. Let y(i) = -i**3 - 3*i**2 - i + 3. Let m be y(2). What is the units digit of w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 9, -4, -2\/11, 14 in ascending order.\nAnswer: -4, -2\/11, 5\/6, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkvkxb. Give prob of sequence vb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029355189 rounded to 4 decimal places?\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76333 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209*u - 180 = -1212*u. Which is smaller: u or 65?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2328 + -1174. Find the second derivative of 32*x**4 + 1154*x**2 - z*x**2 - 16*x wrt x.\nAnswer: 384*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 56 = -8*j. Let g be j\/(-10)*275\/22. Let f be (-11)\/(-2) + 1\/2. Solve 0 = -2*t + 4*s - g, f*s - s = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 1a3?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 11. Determine i(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 382052544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.42 and -1?\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.19 (b) -1 (c) -1111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*g + 7 = 0, -55*u + 59*u - 3*g = -23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-40)*-32*(-12)\/360?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 6*i - 14)*(-2 + 3 + 2) in the form w + d*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 3*g + 16, p - 2*g = 11. Let d = 703 + -688. Let l = 18 - d. Solve l*i = p + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 - 2*r + 4. Let g be k(0). Suppose 4*q + 71 = -5*z, 57 + 2 = -g*q - z. Is ((-3)\/(-2))\/(12\/(-116))*q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 21. Let t(k) = 3*k + 103. What is 5*j(b) + t(b)?\nAnswer: 13*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334513 is divided by 808.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14560996*q**3 + 5*q + 276300 wrt q?\nAnswer: 87365976*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3524*w - 3527*w = 3*m + 6, 30 = 5*w - 5*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9\/2, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - g - 12 = 0, 0 = -5*b + 4*b - 2*g - 12. Let i be 6\/24*4 - b. Solve 4*c - 45 = -5*h - c, i*h = 5*c + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, 0*v = -5*r - 3*v + 15. Let z = r - -1. Suppose -z*j + 37 = -3. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 18*m**2 + 18*m - 18. Let r be y(-19). What is the second biggest value in -27, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.945 + -0.055. Which is the second biggest value? (a) 0.4 (b) -4 (c) z (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572 divided by 5?\nAnswer: -1572\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1025 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68742 and 1539.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 6, 8, 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157146272 divided by -8.\nAnswer: -19643284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 545.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626599 is divided by 10440.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.7 + -10.4. Let p = y - 12. Which is the nearest to 1? (a) 2\/13 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + 1 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 294629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 610609, 1221192, 1831767, 2442334, 3052893, 3663444, 4273987?\n\"Answer: -4*h**2 + 610595*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 35 = 5*n. Let u be 1\/4 + n\/(-4). Let f(k) = -6*k**2 + 5. Let l(j) = 5*j**2 - 4. Let r(h) = -3*f(h) - 4*l(h). Determine r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/6, 146 in decreasing order.\nAnswer: 146, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - -0.01. Which is smaller: -0.08 or d?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 172, 5, 3, 266, -5 in descending order.\nAnswer: 266, 172, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22050666 and 38148?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3709\/5 + 746. Find f such that -21\/5*f**3 + 6\/5 - 6\/5*f**2 + w*f = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2688 - 6e2?\nAnswer: 1e96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -1.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1266093 + -13222830. Let k = c - -5056737. Round k to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-374.96\nAnswer: -374.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 22, -4, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43715 is divided by 10827?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 25 + 43. Suppose 5*s + r = 418. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*q - 4727, -50*p + 2356 = q - 49*p. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + i + 1 + (-8 - 4 + 2)*(2*i - 6*i + 2*i) + 2*i + 0*i - i + 2 in the form y*i + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pptpt. What is prob of picking 3 p and 1 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-36)*-42*34\/(-17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(70\/(-120)) - 1*(-2 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -187764594?\nAnswer: 187764596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 32571342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3 + 1295*y**2 - 5115*y + 3825 = 0.\nAnswer: 1, 3, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 3*w + 35 + 56, -69*a + 3*w + 79 = -64*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9032 - 6.795. Round d to 2 dps.\nAnswer: -3.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 19*z**2 + z + 3. What is the units digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-35 + 81) - -27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1848 and 1925.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:41 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r. Let i be (-4)\/(-3)*6\/2. Suppose m = i*b - 0 + 3, 3*b = m - 3. Let y(f) = 5*f**2 + b*f**2 - 3*f**2. Calculate a(y(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -66?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 39, -2, -4, -26, 5 in descending order.\nAnswer: 39, 5, 2, -1, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12168 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27047099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 87*t**2 - 346*t + 415. Determine x(91).\nAnswer: 2053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/19, -2, -11, -3 in descending order.\nAnswer: -8\/19, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 363468 (base 11) in base 16?\nAnswer: 8c83e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 2. Let o(s) = -1. Let j(c) = 2*o(c) - y(c). Let g(n) be the third derivative of -5*n**2 + 0*n**3 + 0*n + 0 - 1\/12*n**4. What is g(j(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:54 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/18*4)\/(10\/(-45)). Let b be ((-108)\/42)\/((-15)\/70). What is the biggest value in 1\/2, n, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -138, -501, -1106, -1953?\n\"Answer: -121*o**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 5*j**2 - 4*j + 1. Suppose 6 = 2*y - y. Calculate g(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009491 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2689 + 2692. Solve -5*h - k*i = 0, 3*i + 3 - 18 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2990862*h**2 + 78551 with respect to h.\nAnswer: 5981724*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + c + 2*c - 81, c + 93 = -2*t. Let n be 10\/t - (-38)\/9. Solve -2*i = -4*l - 0*i - 18, n*l + 17 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a - 16 = 0, -3*o - a - 22 = 0. Let p be -2 + (-2)\/(o\/15). Let g(t) = 7*t + 1. Is 15 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -23\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -835*p + 4182. Calculate q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose -17*z + s*d - 12 = -22*z, 4*d = z - 12. Suppose -v - 33 = -4*v. Calculate the remainder when v is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h + 20. Suppose -5*k + 0*t - 49 = -4*t, k = 3*t - 12. Let g = h + k. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106267 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 13*h**2 + 9*h + 22. Let v be l(12). Let o = -3 + 22. Let s = v + o. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4768 and 196?\nAnswer: 233632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -81*x - 15. Let u(s) = -5*s - 1. Let r(f) = 2*i(f) - 33*u(f). Let p be r(-1). Which is the closest to 1? (a) 3\/7 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -913, 0, 5, 65.\nAnswer: -913, 0, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49215269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 14*l + 184 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.05, 1, -3\/5, -5 in descending order.\nAnswer: 1, -0.05, -2\/5, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -231.399132\nAnswer: -46.2798264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 0, 4, -5 in decreasing order.\nAnswer: 4, 0, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 22*q - 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 43 = 3*l, b - l - 23 = 3*b. Let k = 13 + b. Is -149*1*(k + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 15*y**2 - 81*y - 1391. Let v be f(-13). Which is the second biggest value? (a) -4\/7 (b) -19 (c) v (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/24313981 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 9*i - 20*i + 5*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 99101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 44*w - 172 = 4*q + 4*q - 5*q, 4*q - 3*w = 111 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/5)\/(2\/5). Suppose -c - h = -4. Suppose 4*p - c - 2 = -2*r, -42 = -5*r - 2*p. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*o + 12, -3*l - 359*o = -7*l - 3*l - 363*o + 26 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48891 + -26151. What is the greatest common divisor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.81 - 6.51. Let h = 0 + 0. What is the closest to h in b, 5, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -305 in decreasing order.\nAnswer: 0, -1, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-306)\/45 + 8 + (4 - 0). Determine w, given that 0 - 2\/5*w**2 - 4\/5*w + 18\/5*w**3 + t*w**4 + 2*w**5 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -990, -0.2, 0, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(648) + sqrt(50) + (sqrt(7200) - 2*sqrt(7200) - sqrt(7200)))\/((sqrt(60)\/(sqrt(18)\/sqrt(3)) + sqrt(810)*1 + sqrt(10))*1).\nAnswer: -206*sqrt(5)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16777\/16236 - -5\/902. Let q be (5 - (-216)\/(-32))*20\/28. Let l = q - y. Sort 3, -9, l in increasing order.\nAnswer: -9, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (41 - 0) - -19 - (-64 - -1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 67777.5 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17688 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**5 - 185*s**4 + 820*s**3 - 80*s**2 - 3200*s + 3280.\nAnswer: -5*(s - 2)**3*(s + 2)*(s + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) 2 (c) 1\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -625548, -1250412, -1875276?\nAnswer: -2500140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 + 25904*z**3 + 25908*z**2 = 0. What is z?\nAnswer: -1, 0, 6477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3 - 2273*h**2 - 4543*h - 2271 = 0.\nAnswer: -2271, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.19547189 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18676)\/(-49) + 1\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 603934 and 874.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-4 + 1) - -3. Calculate the highest common factor of i and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 575061968.9 to the nearest one million.\nAnswer: 575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 411014 + -313021?\nAnswer: 42443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (sqrt(30)\/sqrt(50))\/(sqrt(45)*-2)*-6)*5)**2.\nAnswer: 270*sqrt(3) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88110 and 1100.\nAnswer: 881100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -1\/8*l**4 + 0*l**5 + 0*l + 1\/40*l**6 + 0 + 3*l**2 + 0*l**3. Find the second derivative of j(p) wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073179917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 + -0.02. Let s = k - 0.7999991. Round s to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.03 + 14.03. Let j = -11.99999898 + q. Round j to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 27*t**2 + 14*t + 5. Let c be p(-14). Let d(f) = 12*f - 56. Let l be d(c). Suppose -2*q + 4458 = l*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Suppose -3*o - t = 2*t - 3, 9 = 3*o - 3*t. Let l(d) be the first derivative of -o*d + 2 + 2*d + d**3. Give j(l(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u + 75. Let a(y) = -2*y**3 + 45*y**2 + 22*y + 15. Let i be a(23). Let t be o(i). Solve p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-69)*23*57\/(-2185)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l + 2. Let d be j(0). Suppose d*u + 8 = 4*u. Suppose u*o - 9 = 3. Sort o, 2, 4 in increasing order.\nAnswer: 2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (6 - -20) - -179) + -39\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 178982835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 12) to base 11.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 72 = -3*v. Solve -z = 3*x + v, 0 = 6*z - 2*z - 5*x - 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 4054*b**2 - 98848 + 98848 in the form n*b + i + k*b**2 and give k.\nAnswer: -4054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55237 = -1210*z + 18855 - 24118 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 8*n + 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 84346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 + 117. Let t be -1 - -4 - (m - -12). Let j be 187\/t - (-3)\/(-4). Solve 2*i = 4*i + j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -500187\/8 at least as big as -62523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78285)\/(-5526))\/((-140)\/15 + 6)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191 - 170. What is the derivative of -f*x**3 - 78 - 58*x**3 - 74 - 33*x**3 wrt x?\nAnswer: -336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*14\/(-315)*(-6)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68543083 + -1233369703\/18. Let y = o + -22552. Find the common denominator of (-1)\/3 - (0 - -16) and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 4. Let t = 37 - 51. Let a = t - -13. Put -3, a, h in ascending order.\nAnswer: -3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 >= -9\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39330298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*v**4 + 636908*v**3 + 505*v**2 + 2*v + 5805 wrt v?\nAnswer: -456*v + 3821448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 4. Let v(w) be the third derivative of w**5\/15 + w**4\/8 + w**3\/3 - 7*w**2. Let y be v(-1). List the prime factors of z(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1222202220?\nAnswer: -1222202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.5 (c) 2.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (-1 + sqrt(208) + -2))*4 + (2 + -1 + sqrt(208) - (sqrt(208) - (5 + sqrt(208) + -1 + sqrt(208)))).\nAnswer: 17 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 5*w - 2. Let a(l) = -l**2 - l. Give -4*a(q) - h(q).\nAnswer: 8*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + -3 + (sqrt(475)*-3 - sqrt(475))*1*-1 + 2)*-1)**2.\nAnswer: -480*sqrt(19) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - 2*r**4 + 4*r**4 + 0 - 2*r**4 + 0 + (4*r + r - 3*r)*(-2 - r**3 + 2) + 0*r**4 + 0*r**4 - r**4 - 3*r + 3*r - r**4 + 2*r**4 - 1 + 1.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-28)\/(-36)))\/((528\/64)\/33*-138)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2526801.\nAnswer: 3, 842267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(4 + 4 + -7). Let n be x*2\/(-8) + 4. What is the second derivative of -11*l - 13*l**n + 683*l**3 - 683*l**3 wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0961 - -0.1661. Sort -6\/11, 0.05, w in increasing order.\nAnswer: -6\/11, 0.05, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5408 + 1642 = 47*g. Solve 0 = c + 150 - g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvn when three letters picked without replacement from vvgdgnv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/(-5))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 332732 equal to 332420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcmf when four letters picked without replacement from {m: 1, w: 1, c: 2, e: 1, f: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -850, -889, -928?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1054764066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*b**3 - 75*b**3 + 148*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -106664*y - 2026592. What is r(-19)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 49, 47, 63, 103, 173?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 9*p = -64. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 18 = 5*y, -3*s + 14 = y. Let j(o) = -o**3 + 4*o**2 + 3*o - 1. Let r be j(s). What is the highest common divisor of 99 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-201)\/9)\/(((-21)\/2)\/(672\/(-64)))*3?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (4*(sqrt(147) + -1))**2)*-3.\nAnswer: -693*sqrt(3) + 7104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 - 11804.\nAnswer: -11755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + (-168)\/35 - 988\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26859 = -2*q + 1847. Suppose 4*r = q - 725. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 900 = -10*v + 5*v, -327 = -2*v - 5*i. What is the highest common factor of 33 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 0. Let g(a) = -11*a**3 - 2*a**2 + a - 1. Let c be g(o). Let f be 8\/(-24) + (-44)\/(-6). What is the highest common factor of f and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8*k - 18 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-2\/11)*o)\/o)**(2\/107)\/((o\/o**(-1))\/o)**(1\/3))**(-15\/8) assuming o is positive.\nAnswer: o**(5615\/9416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (49 - 2 - 40)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o - o - 11. What is the remainder when 186 is divided by o + (3 - -31) + (7 - 2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90.5 + -28.1. Let q = -0.4 + b. Sort -3\/5, -0.2, q.\nAnswer: q, -3\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r = 64*r + 8. What are the prime factors of (17\/((-102)\/r))\/((-8)\/5262)?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1202, 2295, 8122, 16273, 26742?\nAnswer: 39523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-2)\/((-8)\/(-2)). Suppose -p - 5*w = 23, -3*w - 15 - 2 = -p. Let g be (p\/(-4))\/((-114)\/(-4)). Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -274615, -274616, -274617, -274618?\n\"Answer: -r - 274614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 25*f - 79. Let t(s) = 5*s - 16. Suppose 111 - 12 = 3*b. Let x(o) = b*t(o) - 6*m(o). Let d be x(4). Solve d*l + 10 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**3*p**3 + 2*f**3 - 55426*f**2*p**3 + 2*f*p**3 - 5*f - 109*p**3 - 136*p wrt f?\nAnswer: 36*f*p**3 + 12*f - 110852*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32046707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 17, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (190\/((-45600)\/(-504)))\/((-3)\/15*2\/(-2))?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*h**4 - 89530*h**2 + 8*h - 699969966 wrt h?\nAnswer: -48*h**3 - 179060*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26857402 * -0.1\nAnswer: -2685740.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**4\/4 - 59*s**3\/6 + 23*s**2. Let w be f(-14). Suppose -30*b + w*b = -130. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3 + 5 - 27*g + 29*g. Let k be 16\/10 + (-4)\/(-10). What is f(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33255809.7 to the nearest 100000.\nAnswer: 33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-7 + 4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9114 - 9055.47. Let j = 22.66 + w. Let g = j + -82. What is g rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + -124. Sort -5, 5, -1, y in decreasing order.\nAnswer: 5, -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 18560?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = r. Let q be 5\/(-20) + (-13)\/(-4). Let d be q\/15*-12*(-30)\/3. Solve -4*p = f + d, 0 = f - 2*p - 0*p - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500\/500*1*-9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 6*a - 12. Let r be m(-4). Let b = -0.1 + -0.9. Let i = -15 - -15.02. Put b, i, r in increasing order.\nAnswer: r, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + (-13 - 1510\/(-75)). Let o(h) = h**2 + 3*h + 2. Let s be o(-1). What is the nearest to s in 8, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1069947, -14, -4 in descending order.\nAnswer: 1069947, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7627006.\nAnswer: 2, 3813503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110465468 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/380277 and 15\/4.\nAnswer: 1521108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 20*v + 26. Let m be p(-21). Solve 2*r + m = 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Suppose l*c = 6*c. Solve c*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 11 - 9) + 4 + (-1 - -3) + -11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**2\/b))\/(b*b**11))**(2\/5) assuming b is positive.\nAnswer: b**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 0*x + 0*x + (0*x - 2*x + 3*x)*(0 + 0 - x) + (-836 + 2346 - 1208)*(0*x**2 - 5*x**2 + 3*x**2).\nAnswer: -607*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b*b**23)*b)\/((b**1*b)\/b*b))\/(b\/(b\/(b\/(b\/(b*b**(-1\/29))))))**(9\/4))**(-2\/91) assuming b is positive.\nAnswer: b**(1460\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4\/5, -1 in increasing order.\nAnswer: -1, -4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 - 18 + 18 + 0*k**2 - 3*k**2 + 5*k**2 - 3*k**2 - k**2 + 2*k**2 + (4 + k - 4)*(-1 + 1 + k) to t + j*k + q*k**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40389208, -40389212, -40389218, -40389226, -40389236, -40389248?\nAnswer: -40389262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 387, -4\/3, 558, -1\/7, -3 in descending order.\nAnswer: 558, 387, -1\/7, -1\/6, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 362 - 366.53. What is t rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -117*j**2. Let h(b) = b**2 - 4*b + 8. Let d(r) = 6*r**2 - 27*r + 54. Let f = -811 + 815. Let y(z) = f*d(z) - 27*h(z). Calculate y(p(q)).\nAnswer: -41067*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11 - 10*12\/176\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 299. Solve 5*s - 1 + 6 = -5*m, -p = 2*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*a + 22 = 0, -3*k + 4*k - a = 1. Suppose -2*n = -2*z + 128, -4*n - 121 = -k*z + 76. Let q = z - 47. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.908502 micrometers in centimeters?\nAnswer: 0.0008908502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:07 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2143*j - 2143*j + 1128373*j**2 - 1128368*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/(sqrt(18)\/sqrt(6)) + sqrt(20)\/sqrt(4)*-3)*6)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (3\/(-2))\/(-2 - -3). Put 0.4, b, 0.1 in increasing order.\nAnswer: b, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w - 53. Calculate u(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6 + 2. Let t be m\/22 + (-2 - (-1048)\/44). Suppose n = 3*u - 1 + 3, -4*n - 2*u = -t. Solve -8 - 2 = n*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39214347707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 9*b - 154. What is the tens digit of ((-3)\/(-14) - (-4)\/b)*174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = q - 10, 7*q - 16 = 2*m + 2*q. Let d be (2\/2)\/(84\/(-44) + m). Let s(g) = 2*g**2 - 11*g + 20. Is s(d) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (55 + -74 + 22 - (10 + -2 + 4))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 1252\/8)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82.20000713 + -82.2. Round l to 7 decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccggcgc. Give prob of sequence gcc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1421300 + 1?\nAnswer: 1421301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 18, 5, 15, 8, 1, 36 in decreasing order.\nAnswer: 36, 18, 15, 8, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, -8 in increasing order.\nAnswer: -8, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10240 and 720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10491 = -3039*j - 7743 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x**5\/4 - 357*x**4\/4 - 330*x**3 - 150*x**2 + 468*x + 108 = 0. Calculate x.\nAnswer: -6, -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.56168 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 5}. Give prob of picking 3 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339.9999719 - 340. What is f rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740183385 to the power of 1\/2, to the nearest integer?\nAnswer: 27206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j - 38*j - 88*j.\nAnswer: -107*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n**3 - 8*n**2 - 9*n + 4. Let h(i) = -5*i - 57. Let y be h(-11). Let f(r) = -2*r**3 - 2*r**2 - 2*r + 1. What is y*t(u) + 9*f(u)?\nAnswer: -2*u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + -3*sqrt(1872) + sqrt(1872))**2*-2.\nAnswer: -15026 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 21045828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 + 1010?\nAnswer: -1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1029.15 + 1028.47. Let r = -0.1 - 0. Is v at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/13 + 10*f**4\/13 + 198*f**3\/13 + 158*f**2\/13 - 28*f = 0. Calculate f.\nAnswer: -7, -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 3. Let d(h) = -1. Let s(y) = 2. Let v(o) = d(o) + s(o). Let t(k) = -2*c(k) - 6*v(k). Let n(p) = 6*p. Calculate t(n(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**2 + 0*f**2)*(-f - f + 0*f)*(33 - 16 - 47).\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -444 * -42.397\nAnswer: 18824.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 736 + 1082 = 1381 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 5*t + 5*t + (0 + 1 + 0)*(3*t + t - 3*t) - 2*t + 3*t + t - 2*t + t + 2*t)*(-82 + 82 + 6*t)*(0 + 0 + 2)*(-2 + 5 + 3).\nAnswer: 1008*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 times -7?\nAnswer: -3.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 + -25. What is the highest common divisor of 50 and u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 808050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 64 + 224 = 0. Let y be ((-6)\/(-27) + 62\/a)*2. Put -5, 2, y, 3 in descending order.\nAnswer: 3, 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131420.1284 plus -13465?\nAnswer: 117955.1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*g + 516*g + 51 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 0) + -11 + 9. Let q(s) = -6*s**2 - 7*s + 12. Let p(i) = 5*i**2 + 8*i - 11. Let v(y) = w*q(y) + 3*p(y). Is v(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 4*k - k + (-1 - 14 + 3)*(-10 - 20 + 9)*(-k + k - k).\nAnswer: -251*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.81305*-0.5.\nAnswer: 11.906525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-1)\/(1\/1). Let x(s) be the first derivative of -45*s**2 - 4*s + 176. List the prime factors of x(t).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 32*u**2 - 53697*u + 1685. What is w(1678)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + h + 2 = 3*h, n - 5*h = 7. Let s(b) = -b**2 - b**2 - 3 + 7*b + b**n + 5. Let g be s(5). Round g to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33 and -35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/9, 0.03, 6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 20*s. Let k be y(-8). Let c be k\/(-30) - 2\/6. Suppose -c = 5*o, -l + o + 214 = -4*o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from aaaaaiaa.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 - 3*y - 7. Let b be (-16)\/(-10) - (-2)\/5. Let p(i) = -2*i - 5*i**3 + b*i**3 - 29 + 23. Give 4*a(u) - 5*p(u).\nAnswer: -u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 15) to base 2\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1652028*y**3 - 34*y**2 + 33782 wrt y?\nAnswer: 9912168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 5*s + 6*s**2 - 3*s - 1)*(-s - 2*s + 0*s).\nAnswer: -18*s**3 - 3*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/16)\/((-4)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2130, 8522, 19178, 34098, 53282, 76730, 104442?\n\"Answer: 2132*h**2 - 4*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 237*x = -238*x + 7618, 5072 = 2*v - 6*x. Does 54 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 398054 - 2?\nAnswer: 398052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24684355 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 16911.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14385936.\nAnswer: 2, 3, 107, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 739553*0.1.\nAnswer: 73955.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from wfwfffffwf.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866588.4 millilitres to litres.\nAnswer: 866.5884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1375 divide 2022721835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 22*i + 1. Let m(h) be the second derivative of 1 + 1\/2*h**3 + 0*h**2 - h. Determine m(t(l)).\nAnswer: 66*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1295 and 216077\/167 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 greater than 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**3\/6 + 120*y + 16. Let f(g) be the third derivative of 3*g**5\/10 + 5*g**3\/6 + g**2. Calculate o(f(z)).\nAnswer: -18*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 10*l - 7. Let y be p(9). What is the common denominator of (-1)\/5 - (-3)\/((-9)\/y) and -109\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 + j - 2. Let n be 2\/(-3) + 16\/6. Let y be f(n). Let r(q) = -4*q + 29. Let o be r(7). Put o, 5, y in increasing order.\nAnswer: y, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.107837 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:51 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/o)**10*o**(-1\/9)*(o**(-1)*o*o)\/o*o assuming o is positive.\nAnswer: o**(-209\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 2, t: 7, n: 4, z: 1, u: 2}. What is prob of picking 1 n, 1 t, and 1 e?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -68, -107, -146, -185, -224?\n\"Answer: -39*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -5*t**3\/6 - 8*t**2 + 9*t. Let p be x(-14). Suppose -k = -p + 16. Calculate the remainder when 72 is divided by k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -301?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2016911578.\nAnswer: 2, 11, 59, 577, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - p**2 + 3*p - 1. Is 25 a factor of g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -744141 >= -744144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaa when three letters picked without replacement from {g: 10, a: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*o - 2 - 5, -2*o - 4*k = -14. Solve 0*a = -a + o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -7\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/75*(-1)\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -21) + -10 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k + 10. What is the units digit of (-15)\/(-4) - k\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -490606 divided by 9?\nAnswer: -490606\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Find the second derivative of -w**4 - 2*w**4 - 3*w + l*w - 3*w wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 2\/3, 0.27, -5\/6 in increasing order.\nAnswer: -4, -5\/6, 0.27, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139111733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 14*d**2 - 16*d - 16. Give s(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 15 = 3*z, -2*z + d - 3 + 13 = 0. Let g = 1 - -3. Differentiate -4*i - 2*i**g - i - 6 + z*i wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + h - 7, -3*h + 2*h = -5*w + 25. Solve -w = -j + 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549 a factor of 10762944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -84.08. Let k = -1 - -1.08. Let z = o + k. Is z at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0801426183 or 2\/3?\nAnswer: -0.0801426183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*n = 126, 3*o + 0*n + 3*n - 342 = 0. Is (-78)\/o + (-818)\/(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 - 2*y**5 + y**5 + (2*y + 58*y + 6*y)*(-3*y - 1 + 1)*(4*y**3 + 77*y - 77*y) + y**5 - 5*y**5 + 2*y**5.\nAnswer: -793*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76661 - -139301. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from yehke.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**4 - 2*j**3 + 2*j + 5. Let l(r) = -r**3 + r + 1. Let f(v) = -k(v) + 2*l(v). Differentiate f(d) wrt d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/6*4 - 2. Let g(j) = j - 8. Let f be g(u). Let q = 0.0695 - -4.9305. Which is the fourth smallest value? (a) f (b) -5 (c) q (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - q + (0 + 7 - 35)*(43*q - 1694 + 1694) + (0 + q + 0)*(0 + 5 - 4).\nAnswer: -1204*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + 145\/(-20). Let x(y) = -5*y - 13. Let v be x(-5). Suppose -v*r - 40 = -2*r. Is r bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x - 77*x - 187*x**2 + 35*x + 120*x**2 + 71*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79.901 + -0.099. Let n = m - -76. Which is the second smallest value? (a) 4 (b) -2\/5 (c) -0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 20*j**2 + 603*j + 2614. Calculate n(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2933 - 1938. Is g a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85, -171, -257, -343?\n\"Answer: -86*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9755536 = 154*i + 447776. What are the prime factors of i?\nAnswer: 2, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 4*w - 2*g, 0 = 5*w - 4*g + 9. Let l = w + 1. Suppose h = 2 - l. 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 y = 826.0000942 + -826. What is y rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239.5 - 240. Let p = -17\/48 - -3\/16. Let r = 2.7 + -2.4. Which is the closest to 0.2? (a) y (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2811.1 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 equal to -287095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 2*f**3 + 2*f**3)*(5*f**2 - 3*f**2 - 3*f**2) + 4*f**5 - 2*f**5 - f**5.\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 4*v - 6. Let c be r(4). What is the units digit of c*(-4)\/(-8) + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 58. Let g be (-51)\/(-7) + (-2)\/7. Let s = g - 3. Solve s*l - m = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) -12 (c) -5 (d) 8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 - n - 2. Let c be g(-2). Let i(x) = -1. Let m(j) = 3*j**2 - 9. Let t(u) = c*i(u) + m(u). What is the derivative of t(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 23, -2\/3, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6516404 years to decades.\nAnswer: 0.06516404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26285663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2492d5c (base 14) to base 6.\nAnswer: 1424243514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35744?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + r. Let z be x(1). Suppose 5*n = 3*l, 0 = -l - z*l. Let g(w) = -w + 18. Let o be g(n). What is the greatest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52561*-26.\nAnswer: -1366586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(-5\/2)))**(-15))**(-14\/11))**(17\/3) assuming a is positive.\nAnswer: a**(-2975\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + 10. Calculate the remainder when n is divided by 1008\/(-12)*(-32)\/112.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -445, -668, -891, -1114, -1337?\nAnswer: -1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10636863 to the nearest integer?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.16 or -63.9473?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*i + 7. Suppose -p + 10 + i = 3*a, 4*p = -3*a + 17. What is the highest common factor of 12 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 25, -3*t + 4*a = -0*a - 56. Suppose 949 = -7*u + 1033. What is the smallest common multiple of u and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913483411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 4*h - 8*h + 12*h + 8*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - 134680\/(-1495) - 2\/23?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/15 + q**3\/6 - 5*q. Find the second derivative of g(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**2 + 6*a + 3. Let v be x(-5). Let t = v - 132. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4205\/24 - -508\/3. What is the common denominator of (-9)\/(-225)*(-1)\/(-2)*-185 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qva when three letters picked without replacement from gngqqvnqeva?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 903 - 115. What are the prime factors of s?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 303191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:20 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53.2462 - -53.2. Let k = t + 0.073. Round k to three dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -2 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 8 + (-9 - -3) + (0 - 12) + 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*f + 4*p, -4*f + 4*p - 33 = -113. Let w = f - 21. Sort -0.6, w, 4 in decreasing order.\nAnswer: 4, w, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919442535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12*l**3 + 3*l**2 + 3*l + 1. Let k(x) = -24*x**3 + 7*x**2 + 7*x + 3. Give 7*j(o) - 3*k(o).\nAnswer: -12*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 48 - 42. Which is bigger: 33 or y?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*m**3 - 23*m**3 + 9*m**3 - 3 - 1.\nAnswer: -56*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 - w**3)*(2 - 5 + 2)*(3*w**2 + w**2 - 5*w**2).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.41036, -0.5, -355 in decreasing order.\nAnswer: 0.41036, -0.5, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -97*c**2 - 31*c - 5. Let p(a) = 19*a**2 + 6*a + 1. Determine 11*p(f) + 2*u(f).\nAnswer: 15*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 21. Suppose 0 = -v*c + 1 + 14. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1198 - 8.\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m. Let x(i) be the second derivative of 6*i**3 + 197*i. What is t(x(h))?\nAnswer: 180*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 + o. Let j be v(-2). Let m be 0\/2 + j\/6. Let w = m - 3. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4076.\nAnswer: 5\/4076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21754.57419 + -21755.8. Let r = 0.03431 + i. Let l = r + 1.2. What is l rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.501394 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27470 = z + 132*m + 27753, -4*z - 66 = -5*m for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/(-6)*(-6)\/4. What is the common denominator of 2\/(-5) - w\/40 and -64\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-2))\/(10 + -8). Let h be (-32)\/(a\/5*(3 + -1)). What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-52 - (16 - 71)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39112200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-28))\/((234\/(-24))\/(-13))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4163900 and 32030.\nAnswer: 4163900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 5*h - 4. Let z be o(-4). Suppose -3*a = t + 3*t - 76, -3*a + 12 = z. Calculate the lowest common multiple of 4 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 9:00 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-120))\/(14\/448*-2*1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 - 6*s**2 + 6*s**2 + (3*s - 3*s - s**2)*(5*s - 2*s - 2*s) - 2*s**3 + 4*s**3 - 6*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -176 in 3, -22, 1, 9, 5\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4484 - 36240 = -934*n for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {d: 1, y: 3, e: 12}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449520664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302964\/16 - (-500)\/(-400)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 5)*(-26 - 53 + 42)*(4*c + c**2 - 4*c) to the form u*c + x*c**2 + b and give x.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 274, 385, 520, 685, 886, 1129?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -14. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 23 = -2*n + 3*n, -4*m + 3*n - 27 = 0. Let y(r) = r**3 + 6*r**2 + r + 7. Calculate y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Let o(m) = m**2 - m - 1. Let r = -3 + 8. Let v(i) = 2*i**2 - 5 + 0*i + i**3 - r*i + 3*i**2. Calculate l*o(w) - v(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3253 = -2*q - 5*b, -q - 3203 = -3*q + 5*b. List the prime factors of q.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1 + -9*1\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let k(w) = -33*w**2 - 6*w - 253. Determine k(l(s)).\nAnswer: -33*s**2 - 6*s - 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 - 2. Let h be q(-4). Let r be h\/6 - (-14)\/6. Find the second derivative of -r*i**4 - 7 + i + 7 wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 6*o - 3*o)*(45 + 9 - 6) as c + n*o and give n.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 19461632 - 19461632 + l. Let w(c) = -c**3 - 14*c**2 + 14*c. What is 2*w(b) - 22*x(b)?\nAnswer: -2*b**3 - 6*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 3*q - 5, -35 = -5*l - 5*q. Suppose 3*b = l*b - 7. Solve -3*m + 3*r + 1 = b, -5*r = 5*m + 30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*y = -10, -46*y + 7 = s - 49*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 21*b + 21. Let l be w(21). Let p be 7\/l + (-28)\/(-6). Suppose -p*d + 16 - 1 = 0. Solve 7*t = d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - 38?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11696 times 0.03\nAnswer: -350.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g*(g*g\/(g*g**(-2\/3)*g))\/g)\/g)*g)\/g*g\/(g\/g**(1\/2)))**37 assuming g is positive.\nAnswer: g**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*g**4 - 2*g**3*x - 970*g**2*x - g*x - g - 3*x - 93 wrt g?\nAnswer: 180*g**2 - 12*g*x - 1940*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1430 and 573174888.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2736*259\/(-99456))\/(6\/32)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625656?\nAnswer: 2, 3, 131, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34932382.\nAnswer: 2, 17, 61, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 o when four letters picked without replacement from {e: 1, o: 7, q: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (5 - 33)) + -3. Calculate the greatest common factor of 116 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/49? (a) 0.2 (b) 10 (c) -0.14 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8529, 34110, 76743, 136428, 213165, 306954?\nAnswer: 417795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4271*a**2 - 11026*a**2 + 3397*a**2 + 3355*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -20, 4 in ascending order.\nAnswer: -20, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295314 - 295313.9. Let r = 3.3 + -3. What is the closest to 0.1 in 5, t, -4, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421555469.\nAnswer: 1567, 2183507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 + 158. Suppose -3*c - 1281 = 4*u, -4*c - x = -2*u + 1349. Is c less than -422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5032\/357 - ((-38)\/42 - -1). Suppose h - 3*u - 11 = 0, -4*h = 2*u + 1 - 3. Calculate the highest common divisor of h and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 65*q**2 - 58*q + 283. Give s(-64).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27450077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-104)\/(-10) + (-18)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1008 + 191?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*o - 75 = 0, -1485 = 3*g - 2*o - 1515 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -598 - -418. Let j(o) = o**3 - 30*o**2 + 3. Let q be j(30). Calculate the common denominator of (-3 + (-535)\/z)\/(q\/462) and 121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, d: 2, l: 1, c: 1, e: 1}. What is prob of picking 1 c and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 834, 810, 786, 762?\n\"Answer: -24*x + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 80763, -3\/52, 2?\nAnswer: 80763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 0.1, -0.3, -59, -0.2, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9198 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(24\/(-9)) - (-14)\/4. Let d = b + -27. Let r = d + 53. What is the remainder when r is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26755426, -26755443, -26755464, -26755489?\n\"Answer: -2*w**2 - 11*w - 26755413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2. Suppose 5*t - 10 = 25. Let v(u) = -u + t - 7 + 0. Give p(v(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 137, 131, 125?\n\"Answer: -6*u + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -213, -2, -1\/19, 4, -0.1?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-4 - 0) - (200 + -153).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 46 = -2*j. Suppose 10489*q = 10485*q + 880. Calculate the highest common factor of j and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*g - 7. What is the smallest common multiple of (-80)\/(-7 - -3) + g and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 17*v - 689. Give z(-23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 4*v**5\/35 + 5*v**4\/7 + 16*v**3\/21 + 130. Factor b(o).\nAnswer: 4*o**2*(o + 1)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47581*m**3 - m**2 - 53482*m wrt m?\nAnswer: 285486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p = -40. Let v(f) = -3*f**2 + 19*f + 79. Let w be v(-3). Sort 2, p, w in ascending order.\nAnswer: p, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ujjpuyjpjjpyyusdpypp.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55737.59 millilitres?\nAnswer: 55.73759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3900 is divided by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 d, and 1 k when four letters picked without replacement from ggdkdgkk.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4375*m**2 + 4485*m wrt m?\nAnswer: 8750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646833 = 69*m + 563*m - 71*m. Is 1155 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -60, -84, -88, -66, -12?\n\"Answer: b**3 + b**2 - 48*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 25 - 0. Let j = -5 - i. Suppose v - 2*s = 1, -2*v + 4*v - s - 5 = j. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15664763797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6852739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 51*i + 682 - 512, 11 = 3*i - c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 times -1.1?\nAnswer: 225.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = -2*o - 0*o, o = -2*s + 5. Let j = o + 1. Suppose 16 = j*c + 2*c. Solve 0 = c*t - t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 83011*u**3 - 82856*u**3 + 2*u + 0*u as p + y*u + f*u**2 + d*u**3 and give d.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/109838 or -1?\nAnswer: 29\/109838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993409863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16065*j**2 + 16025*j + 40 = 0.\nAnswer: -8\/3213, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 853*k*z + 3*k - 2*z + 37 with respect to z.\nAnswer: 853*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o + 44. Let i be l(-3). Let s = -34 - -32. Let x = s - -10. Solve i*d + x = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -15*(-70)\/21*(1 + 0) and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3934 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10001111110011?\nAnswer: 10001111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by -2\nAnswer: 143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8596*h + 24. What is the ten thousands digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 12. Let z be q(-10). What is the closest to z in -3\/8, -0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1 + 8*d + d**3 + 5*d**2 - 3*d + 10*d**2. Is q(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2\/8 + 9916137*j\/4 - 32776591000923\/8 = 0.\nAnswer: 3305379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49981894*-5.\nAnswer: -249909470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1248\/64*(-4)\/12)\/((-3)\/6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 25*g**5 + 29*g**4 - 77*g**3 - 137*g**2 - 70*g - 12. Let z(w) = w**5 - w**4 + w**3 + w**2 - w. Let q(p) = m(p) + 2*z(p). Find k such that q(k) = 0.\nAnswer: -1, -2\/3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 10 = -2*b. Solve a = -2*d + 7, 5*a - 25 = 6*d - b*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -14*r**5\/15 - 18*r**4 - 328*r**3\/15 - 24*r**2\/5 = 0.\nAnswer: -18, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h + 8. Suppose -3 - 18 = -3*o. Suppose -20 - 16 = -4*n - 4*t, -9 = -2*n + t. Let d(j) = 8*j - 7. What is n*w(m) + o*d(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3 - 2352*s**2 + 707658*s - 9451708 = 0?\nAnswer: 14, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -7)\/((-2)\/(-2)). Let f(u) = u**2 - 7. Does 12 divide f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 4063, -2, -1 in decreasing order.\nAnswer: 4063, -1, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 155. Suppose 39 = 6*k - a. Suppose -2*r = -5*z + 58, 3*r = -2*z + 2*r + k. Calculate the lowest common multiple of z and 26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by (-28)\/21*(2 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, 18, 61, 116, 189, 286, 413?\n\"Answer: w**3 - 3*w**2 + 39*w - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10320 divided by 15.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + a - 16 + 20, -2*w - 8 = -3*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -110. Suppose s*o - 8*o - 5*m + 236 = 0, -5*o + 2*m = -532. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2332*v + 2355*v - 414 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-70)*2170\/3255.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 6}. Give prob of sequence ll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-27) - (-1073)\/9.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*702\/(-468)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.92 + 71.9199978623. Round x to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (7 + -5 - (4 + -4 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -p + 5*p. Suppose -g - p*k = 6, 3*k - 5*k = 2*g - 4. Factor 1\/7*q - 1\/7*q**3 + 0 + 1\/7*q**g - 1\/7*q**2.\nAnswer: q*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/303, 1\/814, -0.3, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(79\/632)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2 + 3*i - 1069*i**2 + 534*i**2 + 534*i**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) - (0 + sqrt(1053))) + 3)**2 + -1*sqrt(1053)*-2 - (-2 + (sqrt(1053) - ((sqrt(1053) - sqrt(1053)*-1) + -5)))) + -5.\nAnswer: 1 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327512945?\nAnswer: 5, 65502589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 56. What is the lowest common multiple of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 1.1. Suppose 5*y - 8 = 17. Let m = -108\/55 - -26\/11. Which is the closest to j? (a) m (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from bhhkbhlblz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = -5*m, 2*b + 0*m - 35 = -3*m. Let j(z) = z**2 + 2*z - 3. Let w be j(-4). Solve 0*s = -w*s - b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/15 - 143\/105. Let s(q) = 3*q + 21. Let b(u) = -4*u - 31. Let y(o) = -5*b(o) - 7*s(o). Let g be y(8). Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 25. Let n(t) = -t - 9. Determine n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 868671*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*l**2*s - 67521*l**2 + 1744*l + 930*s wrt l.\nAnswer: -42*s - 135042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-30) + 8\/6. Suppose 3*j + 4*q + 7 = a, 3*q = 3*j + 2*j - 27. Solve -5*x - j*n - 8 = -4*x, x = 5*n + 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-11))**19)**(7\/4) assuming b is positive.\nAnswer: b**(-1463\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.78 + -0.48. Let y = -16 - -78\/5. What is the smallest value in b, y, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-4 - 0 - -1). Suppose -20 = -5*i + 3*t, 2*i - b*t + 4 = 3*i. Let d = i - 2. What is the least common multiple of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:19 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 467*i - 121. Let z(l) = -l - 10. Let n be z(-3). Let m be g(n). What is m rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 + 344*b**4 - 1044*b**3 + 1048*b**2 - 350*b.\nAnswer: 2*b*(b - 1)**3*(b + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*a - 7 = 3, 5 = -a. Suppose h = -0*d - 4*d + 20. Solve 0 = -4*x - d*k - 6, -x - k = -2*x - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.390155 + 0.35981. What is x rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 169*l - 1535. Calculate r(-8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2592 * -0.24\nAnswer: -0.062208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -2, 0, -64 in increasing order.\nAnswer: -64, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d. Let y(n) be the first derivative of 2*n**3 - 5. Calculate a(y(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.310089 not equal to 11\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 9*b + 12. Let l be h(8). Suppose -3*a + 1 - l = 0. Is a equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 17*d = -21*d - 8, -5*u = -15*d - 45. Solve 0 = 73*t - 67*t + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 172*m - 323*m + 153*m. Let o(w) = 3*w**2 + 68*w. Calculate h(o(f)).\nAnswer: 6*f**2 + 136*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 3.5. Let g = s - -1.1. Which is the nearest to -3? (a) -1\/8 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277 + 280. Let n be 62\/(-84) + 12\/72. Which is greater: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 8*i**2 - 6*i - 19. Let k = 40 - 55. Let v be -3*5\/(k\/(-8)). What is the tens digit of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/33 + 0\/(-4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*1*sqrt(99) - sqrt(99)*-1*5)\/(sqrt(45)\/(sqrt(5)*4*-1)))**2.\nAnswer: 24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915 = 32*z - 985 + 620 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.35 and -6862.23.\nAnswer: 50437.3905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 621927.7 milliseconds?\nAnswer: 621.9277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -34457\/2262?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35182, 35178, 35174, 35170, 35166, 35162?\nAnswer: 35158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1531110 and 49607964?\nAnswer: 248039820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 3*b + 0*b)*((3 + 0 - 2)*(-3*b + 5*b - 4*b) - b + 0 + 0 + 404*b + 385*b - 2114*b) to l*b + o + t*b**2 and give t.\nAnswer: -3984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 + 3*a**2 + 2*a - 3. Let s be b(-6). Suppose 5 = 6*g - g + s*v, 2*v - 2 = -2*g. Solve 0 = -5*c + g + 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -4*d - 3. Suppose -4*y = -5*v - d, -5*y + 6*y + v = 0. Determine u, given that -4\/7*u**2 - 2\/7*u**y + 2\/7*u + 4\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*l = 979*l + 24*l + 177890 - 49806 for l.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2210, -9009, -20404, -36395, -56982, -82165, -111944?\n\"Answer: -2298*h**2 + 95*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144936 and 375516?\nAnswer: 8261352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*m*o**3 - 2*b*o**3 + 16*b + 17*m*o**2 - m*o + 2*m wrt o.\nAnswer: -18*b*m*o - 12*b*o + 34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 16*t**3 - 13*t**3 + t + 3*t**2 as z*t**3 + a + x*t**2 + f*t and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99868.79l in millilitres?\nAnswer: 99868790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5045980, -5045964, -5045948, -5045932?\n\"Answer: 16*v - 5045996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 7*w - 5. Give x(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2804828516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24838754013 and -1.7.\nAnswer: -24838754014.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 29*x + 111. Does 5 divide h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -924*k**3 + 2 + 15 + 926*k**3 to the form a*k**2 + s + n*k**3 + r*k and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3602266560.\nAnswer: 2, 3, 5, 41, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 take away 115.26415954?\nAnswer: 53.73584046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*y**3 + 5*y**2 + 87*y**3 - 23*y**3 - 23*y**3.\nAnswer: 5*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41703779*h**2*k - 2*h*k - h - 152058*k wrt h?\nAnswer: -83407558*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 0.05. Let k be (1\/2)\/(24\/(-1296)). Let s be (-3 - 78\/k)*3. Which is the nearest to -1? (a) g (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2929 + -2905. What is the remainder when 1077 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4*0)\/(21 + -20). Suppose 4*b - 5*c - 456 = o, 2*b - 2*c + 101 = 3*b. What is the remainder when b is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 6. Suppose -k*r = 4*o - 148, -5*o + 79 = -4*r - 88. Let n be (6\/7)\/(5\/o). Solve -2*s - 2*s - 3*l = -4, 5*s = -l - n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 + 20*x + 4. Let d be z(-7). What are the prime factors of (5 + -7 - d)*-3?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**3 + 52*r + 49*r - 67*r + 115*r + 15*r**5 wrt r.\nAnswer: 300*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92413968 and -5?\nAnswer: 462069840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1398*x**3 - 2*x**2 - 760 + 762 + 2*x**2.\nAnswer: 1398*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31205*m**3*n**2*t**2 - m**3*n*t**3 + 2*m**2*t**3 - 7*m**2*t**2 + 10*m*n**2*t - 70*n**2 wrt m?\nAnswer: -187230*n**2*t**2 - 6*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-1))\/w)\/w**(-5))\/((w\/(w\/(((w\/(w*w\/(w**6\/w))*w)\/w*w)\/w))*w*w)\/(w\/w**1)))**(-3) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 10.97. Let m = r + 11.000088. What is m rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -314.671215 and 0.4.\nAnswer: -125.868486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/574 and 7\/18.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245a (base 13) to base 9.\nAnswer: -7046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-108) + (-5434)\/456.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 - -211. Let g be (i\/(-3))\/(-4) - 1. Put g, -5, 5, -1 in decreasing order.\nAnswer: 5, -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7332 + 0?\nAnswer: 7332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2735*f**3 - 6780*f**3 - 3344*f**3 + 584*f**3.\nAnswer: -12275*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 159, 157, 155?\n\"Answer: -2*d + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**4 - 27*x**4 - 23*x**4)*(-x + 0 + 0 + (0 + 0 + 2)*(-x + 0*x - x) - 2*x - 3*x + 3*x).\nAnswer: 252*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 128159447959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -674*l**4\/5 + 150*l**3 + 1272*l**2\/5 - 152*l\/5 = 0. What is l?\nAnswer: -1, 0, 38\/337, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-8)*212\/477. Let s(z) = -z - 10. Give s(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*m = 1187*m - 5325 - 20779 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2*p**3\/3 + 1. Let y(h) = 164*h + 79. Let q(w) = -25*w - 13. Let i(b) = -6*q(b) - y(b). Calculate z(i(u)).\nAnswer: 392*u**2 + 56*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243413.56 + 3.651.\nAnswer: 243417.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 30 = 4*z - 67, 48 = 3*t - z. Put t, 93, -3 in descending order.\nAnswer: 93, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 - 1. Let g be z(-1). Let f = -1582 - -2272. Let d = f + -666. What is the greatest common divisor of d and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) - ((-354076)\/(-272))\/(-127).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -3*s + 1\/12*s**4 + 1\/20*s**5 - 1\/2*s**3 + 35 + 3*s**2. Give j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 774790.2 to the nearest 10000.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 4 + -2 + -6 + (15 - 10 - -2)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399057 is divided by 198331?\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441585 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 - -181. Suppose 0 = -g - 288 - 40. Is 7\/p*(g - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - -9. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2. Let w(l) = -41*l + 119 + 220 - 348. What is c(w(j))?\nAnswer: 8405*j**2 + 3690*j + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from {d: 1, r: 2, c: 2, o: 1, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 - 1.3. Let u be (3\/(-5))\/(-1)*10. Let k be (-1)\/u*(-2 + -3). What is the smallest value in k, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*q - 503*q**3 - 4*q**2 + 3*q**2 + 114*q.\nAnswer: -503*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/6*4\/(8\/(-18)). Let f = q - -23. Let s(j) = -j**2 - 5*j - 6. Let g be s(f). Sort -1, g, 1, -3 in descending order.\nAnswer: 1, -1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 0*g - 1 - 170*g**2 + 172*g**2. Let c be 20\/(-6) + 2\/(-3). Does 11 divide m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6801 - -12864. Does 207 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 306, 2, 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 0. Let d(l) = 2*l**3 + l**2 + 2*l + 2. What is d(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 696263040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.58 + -38.42. Let w = -38.9 - c. What is the closest to w in 1, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1538670 and 144585.\nAnswer: 124632270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 6*a + 34. Let v(c) = 3*c**2 - 12*c + 68. Let o(m) = -9*k(m) + 4*v(m). What is the remainder when o(6) is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 75, 22, 1, -12 in increasing order.\nAnswer: -12, -5, -3, 1, 22, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 571, 642, 717, 796?\n\"Answer: 2*f**2 + 65*f + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/39 + -1\/117. Suppose -2*d - 1 = -3. What is the second biggest value in d, n, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {q: 1, a: 1, k: 2, j: 1, b: 1, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1232 >= -1234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 265438583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 12) to base 8.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13449178891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 14) in base 15?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 129 + 5*x - 129 in the form s + i*x and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by 438?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 9. Let n be b(0). Let j = n - -15. Suppose 3*i = j, -z + 2*i - i + 93 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r - 1\/3*r**3 - 25\/2*r**2 + 116. Let k(p) = 0. What is p?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - 9 + 9 + (3*a**3 + 0*a**3 - a**3)*(2*a - 2*a - a) + 3*a**3 - 13*a**4 - 3*a**3 - a**4 - 2*a**2 + 2*a**2.\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*z = 405*z - 78. What is the closest to z in -2\/15, 1, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c - 13*c + 17*c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6, -4*o - 205 + 41 = 4*q. Let f be o\/(-16) + 2\/4. Determine h so that -13\/4*h**4 + 9\/4*h**2 + 4*h - f*h**3 - 3\/4*h**5 + 1 = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18805, -18811, -18823, -18841, -18865, -18895, -18931?\n\"Answer: -3*x**2 + 3*x - 18805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**5\/5 - 68*x**4\/5 + 152*x**3\/5 + 272*x**2\/5 - 672*x\/5 = 0.\nAnswer: -2, 0, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w + 7501515 - 7501515.\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 5)*(j + 0*j + 0*j) + 2 - 3*j - 8*j - j)*(110 - 11094*j + 22186*j - 11100*j) in the form u + b*j**2 + h*j and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13085*d*u**2*z + 234*d*u**2 - d*z + 40184*d + 30*z - 1 wrt u.\nAnswer: 26170*d*u*z + 468*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378303 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 445\/70)*32\/(-6). Determine q so that 2\/7*q**3 - 24\/7*q**2 - 10\/7*q**5 + 0 + g*q**4 + 8\/7*q = 0.\nAnswer: -1, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130464, 260925, 391386, 521847?\nAnswer: 652308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 649481603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -18596103.\nAnswer: -185961030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5*((-246)\/234)\/41)\/((-40)\/(-432))\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/60 + 39*p**2. Let d(n) = 2 - 2*n**2 - 2. What is d(m(v))?\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2690.9 - 2691. Put 0.5, -0.3, 3\/7, l, 2 in ascending order.\nAnswer: -0.3, l, 3\/7, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 9. Suppose 14 = -25*j + 26*j. Let y be p(j). Which is smaller: y or 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*9\/6)\/(26\/(2366\/39))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:55 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077619245.\nAnswer: 3, 5, 8161, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ararrkaka. Give prob of picking 1 k and 1 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 55. Suppose 0 = -5*k + 10 + j. Let f = k - 2. Solve -f*c + 1 = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15937.\nAnswer: 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 7:51 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-76 + -1 - -1). Suppose 5*x = 6*x - a. Suppose -4*g = -3*q - 7*g + 48, -3*q = -3*g - x. Solve -4*l = l - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - (-65)\/2*1\/(-5) and (182\/192)\/((-80)\/12 - -7).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18639 and 47678562.\nAnswer: 47678562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84300\/(-22480)*((-12)\/(-63))\/(30\/(-9))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and (4 - 25\/10)*8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 343869098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611057663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3 + 4*l**3 + 1\/4*l**4 + 2*l + 9\/2*l**2. What is the tens digit of v(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935443?\nAnswer: 1935443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -52 - (2675 + -2649)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/19 + 63058*f**2\/19 - 196951478*f\/19 + 162405945462\/19 = 0.\nAnswer: 1699, 28131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1054113 and -7\/3496.\nAnswer: 160225176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:04 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11206\/3465 - -1\/1386. Calculate the common denominator of 28779\/4452 + 2\/7 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -44 (b) -1\/5 (c) 3302 (d) 0.1 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**5 - 414*v**4 - 1116*v**3 + 39576*v**2 - 131904*v + 120960 = 0?\nAnswer: -12, 2, 6, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13.479 - -12031\nAnswer: 12044.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033.34606 plus -228600?\nAnswer: -222566.65394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 59.2 and -98?\nAnswer: 157.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 23 - 1 = 2*u, -3*x + 92 = -4*u. Let a be 3\/(-2)*(u\/6 - -2). Solve -a*z + 2*r - 5 = 7, -r = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d**2 - 35*d**3 + 80*d**2.\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*w - 189 - 1221 = -218*w + 476*w for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c - 10*c + 3 - 3*c - 9. Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 76099*s\/3 + 25366.\nAnswer: (s + 1)*(s + 76098)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000636 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7742 + -7676. Calculate the remainder when 125 is divided by f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 186, 276, 368, 462, 558?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h. Let q(r) = 810 - 226 - 1950 + r. What is q(t(u))?\nAnswer: 3*u - 1366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 - (0 + -3) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2 - 226*b - 100 wrt b.\nAnswer: -4*b - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 34. Let r = b - 24. Let p = -12.03 + 0.03. Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 6*p**2 + 1. Let y be c(-6). Suppose 2*u - 5 = -y. Suppose v - u*b = -6, 5*b - b = v + 14. Solve h = v*f + 15, 10 = 3*h - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**3 - 7*r**2 - 7*r + 1. Let h be (-2)\/(12\/10)*5*(-72)\/200. Let k(i) = 4*i**3 + 3*i**2 + 3*i. What is h*c(a) + 7*k(a)?\nAnswer: 7*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27*(-330)\/44)\/(1\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 69005\/165575 + (-4)\/10. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 8*y + 6*y + 3*y**2 + 7*y**4 + (y**2 - 3 + 3)*(-2*y**2 + 2*y**2 - 2*y**2).\nAnswer: 5*y**4 + 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.321 + -1.401. Which is the third biggest value? (a) v (b) 5 (c) -100\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 15*v = 60 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*n**2 - 14*b*n*s**2 + 2*b*s**2 + 2*n**2*s**2 + 103*s**2 wrt n?\nAnswer: -4*b*n - 14*b*s**2 + 4*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - (-1 - -3)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15030484*h**5 - 8*h**4 + h**2 + 14132*h - 86 wrt h?\nAnswer: -901829040*h**2 - 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, c: 4, u: 1}. What is prob of picking 4 d?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - -7.7. Let t = 51 - 59.9. Let l = t + x. What is the biggest value in 5, l, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)*o\/(o*(o\/((o\/(o*o**(-4)))\/o))\/o*o))\/(o**(1\/5)*o**(2\/19)*o*o))\/(((o\/(o*o**5\/o)*o)\/o)\/o**6*o\/o**4*o\/(o\/o**0)) assuming o is positive.\nAnswer: o**(4729\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 4 (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -29*p**2 + 1389*p + 146. Let o be r(48). Solve -4*v - o*k - 6 = 0, -5*v - 13*k = -14*k - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 626 + -631.07. Let h = 0.07 + u. Which is the nearest to -1? (a) 0 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11562 and 968482.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, 0.53, -3\/8, 10, 0, -2\/9, -3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11596, 23206, 34816, 46426, 58036?\n\"Answer: 11610*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129281728*p**2 + p + 26243733?\nAnswer: 258563456*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/17))**(1\/7)*(((f*(f\/f**(1\/6))\/f)\/f*f)\/f)\/f**(11\/3) assuming f is positive.\nAnswer: f**(-2647\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 minus 2495.873?\nAnswer: -2496.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15660 + 15660.1. Let m(s) = -s**2 - 5*s**3 + 2*s - 2*s + 1. Let l be m(-1). Put l, f, 0.4 in descending order.\nAnswer: l, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**3 + 0*b**3 + b**3)*(-4*b - 3*b + 4*b + (6*b + 7 - 7)*(-5 + 0 + 2)) in the form v*b**4 + j*b**3 + w*b**2 + h*b + f and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21668448 to the nearest integer?\nAnswer: 4655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -448, -1, 4, 2, 301, -5, 1 in decreasing order.\nAnswer: 301, 4, 2, 1, -1, -5, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*r**2 - 8408894*r - 324961180 wrt r?\nAnswer: -14*r - 8408894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 632 - 632 + 127*c**2.\nAnswer: 2*c**3 + 127*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69, 134, 201, 270, 341?\n\"Answer: u**2 + 62*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546412 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 15*p**2 + 59*p + 29. Calculate the smallest common multiple of 56 and k(18).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.173 in 1, 0.5, 55, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3200, 3254, 3304, 3350, 3392, 3430, 3464?\nAnswer: 3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {r: 2, y: 5, z: 4, n: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108642 and 6156.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:25 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 29\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 558, 986, 1390, 1758, 2078, 2338?\n\"Answer: -2*d**3 + 442*d + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.79+0.0163433170587\nAnswer: -0.7736566829413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(272) + sqrt(85)\/(sqrt(45)\/(sqrt(9) + sqrt(441))))*-4)**2.\nAnswer: 626688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2526 (b) -12 (c) 2\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*g + 10. Let u(a) = 11*a - 33. Let w be u(3). Suppose -7*d + g*d + 52 = w. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(1\/20))\/g)\/g**(3\/5) assuming g is positive.\nAnswer: g**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2247, -5146, -8141, -11280, -14611?\nAnswer: -18182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1394550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -5. Suppose -35 = -7*m - 0. What is the biggest value in 2\/7, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 547365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0 + 0*j**3 + 0*j - 28*j**2 + 1\/24*j**4. Let c(n) = 8*n**2. Determine c(y(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -23 + 20. Let r(l) = -l**3 + 4*l**2 - 4*l + 4. Let x be r(h). Solve 4 = g + x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69449661067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438650291.\nAnswer: 401, 1031, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31608 divided by 4?\nAnswer: -7902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1758494.\nAnswer: -5\/1758494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26678313 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 645*b + 103117. Determine r(-291).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 7287?\nAnswer: 123879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3210*q + 3190*q + 240 = 0. Solve 2*n + q*m = 8*m, -4*n - 2*m = -18 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12110200011002 (base 3) in base 16?\nAnswer: 2c5a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2*105\/9. Suppose -139 = -4*j - c. Let p be (-2)\/(-14) + j\/210. What is the smallest value in p, 2\/19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -95*z**3 + 24*z**2. Let c(n) = -7505*n**3 + 1900*n**2. Determine -6*c(v) + 475*r(v).\nAnswer: -95*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(440)\/(sqrt(10)*-1))**2 - ((-2*sqrt(99))\/sqrt(9) - sqrt(88)\/(sqrt(8)*1))*4) + -1.\nAnswer: -8*sqrt(11) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*d + 55*d + 32*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - b = 21, -2*m - 12272*b = -12268*b + 114 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0*f**5 + 2\/3*f**3 + 4*f + 0*f**6 + 0*f**4 + 0 + 0*f**2 - 1\/42*f**7. What is the second derivative of x(h) wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2634672 and 861456?\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/7 (c) 2 (d) -1044\/11 (e) 0.4 (f) -629\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 3 - 3)*(-2 + 2 + 2) + 5*p - 8*p + 2*p + 5*p - 2*p - 4*p in the form f*p + i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, -14 in ascending order.\nAnswer: -14, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((30 + 16 + 3)*(0 + 0 - 2) + 33 - 24 + 34)*(-a + 5*a - 2*a) in the form g + x*a and give x.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1124?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/a*a**(-4)*a)**(-2\/37) assuming a is positive.\nAnswer: a**(22\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - 10*n**3 - 5*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*s + 12, -5*j + s = -13 - 7. Solve -2*i - 4*r + 5 = -i, 3*i + j*r - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -263, -950, -2305, -4550, -7907, -12598, -18845?\n\"Answer: -37*d**3 - d**2 + 21*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 - 6*l. Let a be t(-4). Suppose 0 = -3*s + 5*n - 6 - a, -n + 6 = s. List the prime factors of (s + -1)\/(3\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**4*x - 4116*v*x**3 - 3*x**3 + x**2 - 30*x wrt v.\nAnswer: -8*v**3*x - 4116*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 506060.\nAnswer: 506055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) - 7904\/(-48). Are 164 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 72. Suppose -t + 8 = t. Suppose -q*c - l = -9 - t, -22 = -3*c + l. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177537049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1222826 divided by -121.\nAnswer: -10106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11124 = -294*d - 7551 - 23367 for d.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -183. Let x = 84.947 - w. What is x rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 25. Suppose 4*g = 64 - 40. Suppose -g*m = -3*m - 12. Suppose -m*b + 12 + 4 = 2*k, -3*k + 4*b - 16 = 0. Calculate x(k).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*p = -2*q + 2740, q = 4*p + 685. Which is greater: 1367\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15664 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23049, -23048, -23047, -23046, -23045, -23044?\nAnswer: -23043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 583?\nAnswer: 8\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 - 339 - 214 = -11*w + 441 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2543681 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*y + 80*y = -7*j + 2*j - 195, -5*j = -4*y + 93 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*s + 1031*s + 231 - 231 to the form h + w*s and give w.\nAnswer: 1261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14399 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.03962 - 8.957. Round n to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r - 233. Let j be y(22). Let u(t) = -t - 1. Let w(i) = -i**2 + 6*i + 9. Let x(c) = -3*u(c) + w(c). What is x(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 8*p - 10. Let d be m(5). Suppose -w = f - 3084, d*f + 6178 = 2*f + 4*w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b + 24*b + 22*b - 76*b + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j**2 + 1 - 1.\nAnswer: 74*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 + -1319\/8. Sort y, -2, -0.1 in ascending order.\nAnswer: -2, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y + 1. What is l(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 4:19 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/20 - (-153)\/(-204). What is the third biggest value in -114, p, -2?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10231 is divided by 1017?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b. Let m(j) = 2*j - 4. Let y(a) = 6*a - 11. Let h be (2 - (2 - 3)) + 8. Let p(r) = h*m(r) - 4*y(r). Give p(w(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 13*p + 33*p - 20*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-260) - 1486\/(-26). Let m = x + 34. What is m rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 365, 787, 1377, 2135, 3061, 4155?\nAnswer: 5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -10*q**3\/3 - 7935*q**2\/4 + 1985*q\/2 - 8630. Factor z(c).\nAnswer: -5*(c + 397)*(4*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (10 - -16) - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 z when three letters picked without replacement from {z: 1, w: 1, v: 2, y: 1, h: 1, e: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -178222, -178221, -178220, -178219, -178218, -178217?\n\"Answer: k - 178223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12895080 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 16150870376504?\nAnswer: 16150870376502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 + 6*f**2 - 6*f**2 + 2 in the form h*f + o + c*f**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5319, 66\/7, 2 in decreasing order.\nAnswer: 5319, 66\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -3741.98.\nAnswer: 11225.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 178813 or 178811?\nAnswer: 178813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4\/7, 120, 1 in decreasing order.\nAnswer: 120, 4, 1, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6)*(29 - 2). Let z = 13 - y. Solve w - 5*m = -0*w + 3, -z*m = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t**4 + 9*t**3 - 19*t - 56623?\nAnswer: -12*t**3 + 27*t**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86297 - 86297 + 1951*z - 4*z**2.\nAnswer: -4*z**2 + 1951*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700 and 41250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/24 - -7\/24. Let t be (((-3)\/(-9))\/((-27)\/54))\/((-20)\/(-10)). Sort t, v, 5.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/27 + 1)\/((-2)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*q - 2*q - 627, q + 1249 = 2*a. Let b = a + -384. What are the prime factors of b?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let k(m) = 65*m**2 + 26*m**2 - 15*m**2. Calculate k(t(z)).\nAnswer: 684*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2271990 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8454269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322031 - -1210130?\nAnswer: 222033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26873751 is divided by 699.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Suppose k = -4*m + v - 14, v + 0*v - 5 = m. Let h(j) = 4*j**2 + 10. Let t(g) = g**2 + 3. Give m*h(a) + 10*t(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 - 3 = -2*q, 5*i - 4*q - 19 = 0. Solve -2*z = -i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 294 - -2?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -1, -3.\nAnswer: -43, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 9:40 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:09 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8073 + -8031. Solve -c - 34 = 19*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6824239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97488 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 389*x + 382. Calculate z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - (-7 + 7)) + -16 + 20 + 8 + -9.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 4.16435308.\nAnswer: -5.16435308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2*j + 6)*(356*j**3 + 871*j**3 - 47*j**3).\nAnswer: -2360*j**4 + 10620*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 + 0 = 0. Let r(d) = -d**3 + 6*d**2 - 6*d + 5. Let p be r(5). Let q be -5*((-6)\/o + p). Solve c = -c + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13829801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 9*q**2 - 7*q - 7. Let r be o(-5). Solve 0 = -p + r*v + 8, -p + v + 3 + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2\/(-1))\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5. Let o(y) = -8*y - 6. Let z be o(j). Suppose -q - 4*q = -2*r - 40, 4 = -q - z*r. Solve -4*p - 10 - q = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255947671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -0.1, -1, 1, 5, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -19. Let o be -2*(-4 + 1)\/k. Let d(v) = 17*v**2 + 3*v + 5. What is the remainder when d(o) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 - (-8)\/(5 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56501 or -56499?\nAnswer: -56501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 122426 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**2 - 26*p + 45. Let m(l) = 3*l**2 + 13*l - 22. Let b(s) = -5*m(s) - 2*u(s). Let z be b(-14). Solve -k = -3*k + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 15. Let z = 16 + q. Solve z*h + 6 - 16 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - v = -2*h + 10, -2*v + 16 = 5*h. Suppose 0 = -h*p + d + 35 + 9, p + 6 = -4*d. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfifokkkktfbbtbkbf. Give prob of sequence ib.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/125)\/((-7)\/(-5)) - 123\/615. Which is the third smallest value? (a) -0.08 (b) -13 (c) 2 (d) 1\/2 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - 56053 = -1291*f - 2326*f - 294774 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - g**2 + 2*g + 3. Let w be c(-3). Let p = 83 + -81. Suppose p*r = -4*q + 1348, q - w = 5*r + 344. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 85*a**2 - 45*a - 4. Calculate the remainder when p(-3) is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27083758.\nAnswer: 2, 13, 97, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m*r**2*w**2 - 1768*m*r**2 - 20*m*r*w + 2667*m*w**2 - 24*w**2 - 6 wrt r?\nAnswer: 6*m*r*w**2 - 3536*m*r - 20*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 3*p**2 + 6*p**4 + (-4*p**3 - p**3 + 6*p**3)*(-2*p + 2*p - 2*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5461 + -1382. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w. Let i(f) = f**2. Calculate h(i(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b6 + -5?\nAnswer: 9b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4547 - 4543. Let d(o) be the first derivative of -1\/16*o**2 + 0*o - 1\/40*o**5 + 1\/32*o**h + 18 + 1\/24*o**3. Factor d(u).\nAnswer: -u*(u - 1)**2*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 104 = -6*l - 3*l. Solve l*m - 41 = -49 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1035280 divided by -51764\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 186, 166, 128, 66, -26?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50 (b) -5 (c) -1 (d) -2\/3 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 1. Let y(s) = s**2 + 8*s + 5. Let k(v) = 5*j(v) - y(v). Factor k(h).\nAnswer: 4*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.0337658 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3 - -9) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32500 is divided by 856?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 366 + -365. What is the closest to 0 in -3\/5, b, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 27*t**2 - 27*t + 30. Let q be i(26). Suppose -18 = y - 3*y. Let d be 219\/y - q\/(-6). Solve -l = 4*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 13 = 4*k + u, -2*u = -k + 9. Suppose -9 - 6 = -3*s. Suppose 0 = -3*p + s*p - 4. Solve -2*z = -4*h + 30, -p*h - 45 = -k*h + 4*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/1124, -23\/9, 1\/48 in increasing order.\nAnswer: -23\/9, -15\/1124, 1\/48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q**3 + 170*q + 1 - 6*q**3 - 240*q + 9*q**3 to the form n*q**2 + i + c*q**3 + m*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.12 - 38.02. Let n = -6 + 2. Suppose 2*s - 5*q - 22 = 0, 20 = -8*q + 3*q. Which is the closest to s? (a) -2\/3 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1622, 1430, 1080, 494, -406, -1698, -3460, -5770?\nAnswer: -8706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 2*v**2 - 1. Let w be l(1). Let x = -35\/3 + 709\/60. Let p = -1\/4 - x. Sort w, -3, p in ascending order.\nAnswer: -3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h = -91*h + 5*r - 3*r + 12, 6*h - r = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17937 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1530 + 1713 - 2*a - 1069)*(2*a**2 - 2*a**2 + a**2 + 2*a**2 - 2*a**2 - a**2 + (-3*a + 0*a + a)*(3 + a - 3) - 2*a**2 + 0*a**2 + 0*a**2).\nAnswer: 8*a**3 + 3544*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9433 by 76.\nAnswer: 9433\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -295816.1 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**3 + 7*z + 75 wrt z?\nAnswer: 3*z**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 1 + 6. Suppose -2*v + 13 = -3*p, 3*v - 5 = p + 4. Put 4, p, f in ascending order.\nAnswer: f, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 2. Let j(n) = n - 2. Suppose 5*u + 1 = -4. Let z be (u - 1)\/(-17 + 16). Give z*d(p) + 3*j(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 - 304 = 36*z. Let t = -8 - -13. Solve -1 = z*d + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.748 and -266?\nAnswer: 265.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 3 - 1)*(2 + 3*d - 2)*(4 - 2 + 0)*(0*d - 6*d + 2*d) as q*d + k*d**2 + j and give k.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 0) + (238 - 253) - 24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = -20. Let y = h - -12. Solve 3*l - 2*r + 1 = 0, r + r - 19 = -y*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 16) in base 4?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120022020000 + 2?\nAnswer: -120022012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1237, 4921, 11055, 19639?\n\"Answer: 1225*h**2 + 9*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 32. Let l(x) = -x. Let s(k) = -d(k) + 4*l(k). Let y be (-10)\/(2 - 3\/1). What is the tens digit of s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1133\/4 - 285. Find the common denominator of -71\/46 and o.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2 - (2 + -7)). Let z = 0.5 - 0.8. What is the nearest to -2\/7 in a, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86 - 3?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1587 or -1590?\nAnswer: -1590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1 (c) 17\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.43848 rounded to one decimal place?\nAnswer: -134.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((19 + -22)\/((-3)\/2)). Solve u = -2*b - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 7280 = 7*o. Calculate the highest common factor of o and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*j - j**2 - 16 + 3*j**2 - 3 - 16*j as q*j + k*j**2 + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -972021 divided by 3\nAnswer: -324007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/91 and -67\/10899.\nAnswer: 141687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81405796*a**3*z - 52*a**2*z - 1225*a*z + 10*z wrt a.\nAnswer: -488434776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 6*w + 11. What is j(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.45 and -77.97526?\nAnswer: 78.42526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**6\/1080 + a**5\/180 + 7*a**3\/6 + 45*a. Let q(h) be the second derivative of o(h). Determine m so that q(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 - 1 + 2*k - 2*k)*(152 - 513 + 155) to l*k**2 + a + i*k and give l.\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n + 56 = 4*c, 2*c = 4*n + 38. Suppose -36 = 9*k - c*k. What is the remainder when 61 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -15. Let p(u) = u**3 + 7*u**2 - 7*u + 3. Let w be p(-8). Put g, 1, w in descending order.\nAnswer: g, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9f (base 16) to base 15\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19810*-2818.\nAnswer: -55824580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnwnwwnwwnn. Give prob of sequence nnw.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1191500 and -137\/47183400.\nAnswer: 235917000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65552193 to the power of 1\/2, to the nearest integer?\nAnswer: 8096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14632.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 150674 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: Let o be 3\/6*(18 - -42). Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*i**2 - 3*a*i*n - a*i + 583*i**2*n - 82*i**2 - 3*i*n + 22882*i wrt i.\nAnswer: -2*a + 1166*n - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/7 - 6452*q**3\/7 - 6171216*q**2\/7 - 1480569868*q\/7 - 1474405102\/7 = 0.\nAnswer: -1433, -359, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 30528425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*y = -248, 5*r + y = 4*y + 283. Let i = -149 + r. Let v be 10\/25 - (-46)\/i. Which is the biggest value? (a) -3 (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271236 is divided by 276.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**2*z**6 + 15*k**2*z**3 - 13*k**2*z**2 - 9*k**2 + k*z**3 wrt z.\nAnswer: 360*k**2*z**3 + 90*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11407 = -7*s + 20884. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5 - 14) + (22 - 4) + -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/(-8))*9\/(-36)*18150\/(-3850)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4 - (-87)\/12. What is the first derivative of -8*m**2 + m**4 - 3 + n*m**2 wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8316 and 931084.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 11 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + -97036332.\nAnswer: -97036210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 495386 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 542.\nAnswer: 5420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73\/92 - 24\/23. Put 0.08, -2\/5, y in decreasing order.\nAnswer: 0.08, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {j: 1, r: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80663 is divided by 40312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 34 + 101. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*m - 29, 48*b - 46*b + 4*m + 22 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60422280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s + 7. Let q = s + 24. Let j be 685\/q + (-1)\/4. Calculate the greatest common factor of j and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754764 divided by 188691.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**2 + 14328490*a - 5731400.\nAnswer: 5*(a + 573140)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-49) + 0\/11. Factor 12\/7*t**3 + 13\/7*t - m - 23\/7*t**2.\nAnswer: (t - 1)*(3*t - 2)*(4*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**2 + 208*h + 515. What is the remainder when g(32) is divided by (0 - -3) + -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*11701\/(-30) - (-5)\/(-75). Round x to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5788221786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28551*0.14\nAnswer: -3997.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*v + 47*v - 2126*v**3 + 2135*v**3 + 51*v + 57*v.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*i**4 - 4*i**2 - 35*i.\nAnswer: -1704*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 9*f**4\/4 + 2*f**3\/3 + f**2 + 3*f + 10859. Determine h(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40839.2 grams?\nAnswer: 40.8392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 3\/5, 0.\nAnswer: -3, 0, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54866879 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from {u: 2, a: 1, h: 2, q: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 312\/5 (c) 109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**7\/1008 + r**6\/360 + r**5\/15 + 4*r**2. Let i(a) be the third derivative of k(a). Differentiate i(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445606116 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 562415, 292, -3 in decreasing order.\nAnswer: 562415, 292, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40780204 is divided by 574369.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(0\/(-3) - 3). Let f(v) = 5*v + 51. Let k be f(-11). Let j = d + k. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**4 + 6*g**3 + 6*g**2 - 5*g**2 + 10*g + 32*g - 11*g - 3*g**2 in the form l*g**3 + q*g**2 + m*g**4 + a*g + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and 6218.\nAnswer: 6251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:56 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -95, -219, -379, -587, -855, -1195, -1619?\nAnswer: -2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -522, -523, -524, -525, -526?\n\"Answer: -g - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 = -i + 2, 4*i = -3*c + 7. Solve n - i = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-4\/11))\/a))\/a**(-4\/29))\/(a**(-20)*a**(-31)) assuming a is positive.\nAnswer: a**(16748\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61040131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*v + 118. Suppose 0 = v*q - 548 - 1837. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:57 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0 + 6. Suppose 9 = 3*r - q. Suppose 22 = r*p + 2*h, -p - 5*h = 3*p - 21. Which is the second biggest value? (a) -11 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 - 2*m - 1. Let t = 0 + 8. Let i = t + -9. What is c(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -3, 2.\nAnswer: -3, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -377 - -383. What is the closest to 1 in -2\/3, 3\/5, l, 3.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -127\/31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -141. Let v = 19 - 13. Suppose v*z - q = z. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9722 (base 15) to base 9\nAnswer: -47775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*q**4*z + q**4 - q**3*z + 391*q**2*z + q**2 wrt q?\nAnswer: 384*q*z + 24*q - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3039733 = 12*o - 3040129 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16128108 and 18.\nAnswer: 16128108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**4 + 4*z**3 - 2*z**2 - 6. Let o(m) = 2*m**4 - 4*m**3 + 2*m**2 + 5. Let s(k) = -k + 6. Let c be s(0). Let v(d) = c*o(d) + 5*n(d). Factor v(h).\nAnswer: 2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjcjcgckccgkjkc. Give prob of sequence jk.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 2. Let w(g) = -g**2 - 114*g - 2886. Let q be w(-76). Calculate a(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -303*f**5 + 0 - 5413*f - 8849*f**5 + 0 - 866*f wrt f?\nAnswer: -183040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j + 3. Let c(d) = 8*d + 2. Suppose 242*t - 290 + 404 = -854. What is t*c(l) + 5*m(l)?\nAnswer: 3*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100.3 - -100. Sort -0.04, v, -6 in increasing order.\nAnswer: -6, v, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1510 divided by 1.\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74059, -148119, -222185, -296263, -370359, -444479?\n\"Answer: -i**3 + 3*i**2 - 74062*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*(sqrt(104)*-1 - sqrt(104)) - sqrt(104)))\/(sqrt(8) + (2*sqrt(96) + sqrt(96))\/sqrt(12) - -2*sqrt(40)\/sqrt(5)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.615381 rounded to one dp?\nAnswer: 29.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 - 99*j - 1063. Let d(h) = -3*h**2 + 28*h + 355. Calculate -7*d(x) - 2*t(x).\nAnswer: 5*x**2 + 2*x - 359","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 9 + 2 - 5)*(0*m**3 - m**3 + 2*m**3).\nAnswer: -4*m**4 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p**3 + 8*p - 5. Suppose -x + 2*s - 1 = -4*x, 5*x - 4*s = 31. What is the hundreds digit of m(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 10930*o - 5973245.\nAnswer: -5*(o + 1093)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-64)\/510)*(-460)\/(-15525)*-15\nAnswer: -85\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (321\/(-4))\/((-213)\/(-9088)). Which is greater: x or -3422?\nAnswer: -3422","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2481264 - -2481985.2578. Let a = 721 - m. Let o = -0.26 - a. Round o to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**3 + l + 1. Let a = -48 - -100. Let o = a - 42. What is the lowest common multiple of b(-1) and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137325386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2382 (base 15) to base 2\nAnswer: 1110101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2268, 2278, 2282, 2274, 2248?\n\"Answer: -o**3 + 3*o**2 + 8*o + 2258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000924414 rounded to five dps?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9607600, -9607614, -9607628, -9607642, -9607656?\nAnswer: -9607670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -7*c**2\/2 - 3. Let j(p) = -8*p - 8. Let b(u) = -35*u - 36. Let h(x) = 2*b(x) - 9*j(x). Determine h(m(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + 35. Let m(b) = b**2 - 10*b + 4. Let i(o) = -o**2 + 9*o - 3. Let t(x) = 4*i(x) + 3*m(x). Calculate t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.6 + -82.4. Let z = l - -109.2. Which is the closest to -2? (a) z (b) 3\/4 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25641 + 25666. Put 0.12, b, -4, -1\/2, -2 in descending order.\nAnswer: b, 0.12, -1\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 108. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = a - 6*a + 3*q, -a = -q - 21. Suppose k + r = 4*r - 14, k = 4*r - a. Let n be 1\/(k\/(-3)) - -87. Calculate the greatest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 816 - 744 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1830*r = -2011*r + 5792 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - p + 4 = 0, -2*t + 2*p = -3*t + 3. Let i = t - 2. Let w(f) = -f**3 + 6*f**2 - f + 3. Let l be w(6). Are l and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23006 divided by 3\nAnswer: 23006\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215 + -107. Let b be ((-3)\/11)\/(31\/(-341)). Sort 0, q, 1, b in decreasing order.\nAnswer: q, b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 11193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -102*h + 191*h - 88*h + 14. Give k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 4*n - 1416. Let j be (1121\/n)\/(2\/(-296)). Which is greater: j or 704?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/628 in -4\/3, 0.5, -17\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 89*k - 96*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 2*i**2 + i - 10. Let l be h(3). Let s(y) be the first derivative of 4 + 1\/6*y**3 + 1\/2*y + 1\/2*y**l. Let s(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3689 + -3668. Calculate the remainder when 1837 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8508536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2\/7, -4, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b384a (base 12) in base 9?\nAnswer: 815884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27 - -3*4\/6. Let w = 65 - n. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -187989690 to the nearest ten thousand.\nAnswer: -187990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318995 is divided by 45553.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 1446.\nAnswer: 11568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308640 and 38580?\nAnswer: 308640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431962.\nAnswer: 2, 215981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 11*j. Let b be w(-5). Suppose -24 = -3*f + b. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, j: 11}. What is prob of picking 3 j and 1 t?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g - g)*(((0 - 4 + 2)*(-1 + 0 - 1) + 5 - 2 + 1)*(11 - 56 - 23) - 1 + 6 - 3).\nAnswer: 1084*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:45 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 plus -2.235?\nAnswer: -2.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from duqlloxolouxxxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137*o**3 + 143*o**3 + o - 35 - 289*o**3 wrt o?\nAnswer: -27*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/13 and -47\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r - 11. Let d(b) = 3*b + 5. Let u(p) = 5*d(p) + 2*z(p). Suppose 0*w = -c - 5*w - 13, 4*w + 4 = -4*c. Suppose 0 = -y + c*y. Calculate u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*d = 0, -15*d + 10*d = 25. Which is the third smallest value? (a) -0.05 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 a when three letters picked without replacement from {q: 4, j: 3, y: 1, a: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3545?\nAnswer: 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 410 - 29. Let t = w - -189. Suppose -2 + t = 5*v. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*g - 15381 + 15381.\nAnswer: -553*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.1 (b) -15 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1012*s + 479*s + 511*s - s**2 - s**2 - 2*s**2. Let t(f) = -f**2. What is -o(c) + 5*t(c)?\nAnswer: -c**2 + 22*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kthh when four letters picked without replacement from dkhehndt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*v. Let j(t) = 7*t - 18. Let s be j(3). Suppose -3*p = -5*m + s*m - 2, p - 10 = -4*m. Sort v, -4, m in decreasing order.\nAnswer: v, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*((sqrt(17) + -1)*-1 - sqrt(17)))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 19*z - 2022. Let c(p) = 11*p - 1010. Calculate 7*c(o) - 4*d(o).\nAnswer: o + 1018","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 7. Let v be l(-8). Let a be (3 - -2)\/75*v. Let w(t) = -t**2 - 3*t. Let c be w(-3). Is c greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6528\/2720)\/(24\/20*1\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -0.282, 13 in descending order.\nAnswer: 42, 13, -0.282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4, -4*h - 28 = -6*h + 3*i. Let f(a) = 3*a + 9. Is 5 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -731762, -731781, -731812, -731855, -731910?\n\"Answer: -6*t**2 - t - 731755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244274 is divided by 246.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 + 16 + (26 - 5). Let u(z) = -z + 22*z**2 + g*z**2 - 7 + 17*z**2 + z**3 - 61*z**2. Determine u(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 42 = 3*t, -2*t - 5*d = -6*d - 13. Suppose -t*s + 6*s = -6. Solve s*r - b = 3, 0*r + b + 3 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70124400 divided by -154800?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4305711935 - 29.91.\nAnswer: -4305711964.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*a + 18*a + 23*a + 22*a + 28*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7967 + 1231*z**3 - 7966 + 15933.\nAnswer: 1231*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47962, -48579, -49196?\n\"Answer: -617*i - 47345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24843719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17574512 and -6.\nAnswer: -17574518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 430 + 6*b - 262 + 0*b - 168. Let u(j) = 11*j**2 - 5*j. Let s(v) = v. Let a(h) = 5*s(h) + u(h). What is a(n(g))?\nAnswer: 396*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyy when three letters picked without replacement from yooyyyyyooyyoooooy?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140\/13 + -2813\/260. Let k = 837\/476 - -31\/68. What is the common denominator of k and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 18*h + 6. Let l(g) = 2*g**2 + 36*g - 11. Determine -11*d(s) - 6*l(s).\nAnswer: -s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -22 - y + 53 + 2*y**3 + 10*y**2 - 18 - 26 + 3*y**2. Let l = 13 + -19. Let x be w(l). Calculate the greatest common divisor of x and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 19*a**2 + 2 + 0*a**2 - 78*a**3 + 12*a**2.\nAnswer: -78*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 4:27 PM?\nAnswer: 119","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 3 times 14385021\nAnswer: 43155063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:47 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34870.\nAnswer: 2, 5, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.935 from -2.\nAnswer: -1.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(6000) + sqrt(6000) + 5*1*sqrt(60))*-3)\/(-4*sqrt(1452) + (sqrt(12) + sqrt(972)*4 - sqrt(12))))**2.\nAnswer: 1125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389088 is divided by 14928?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -14. Which is the biggest value? (a) -0.4 (b) -48 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1218 + -532.8782. Let j = a + 533.2. Put -4, j, -5 in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -596 - -597. Suppose -23 + 2 = -m + 2*z, 3*m + 2*z - 103 = 0. Suppose -m - 20 = -3*n. What is the smallest common multiple of n and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -244180, -488301, -732422, -976543, -1220664?\n\"Answer: -244121*z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -11. Sort -0.3, f, -0.5.\nAnswer: -0.5, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -33, 1200\/101, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/7*((-267652)\/(-385))\/(-44).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3558965994?\nAnswer: 2, 3, 197720333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -495087223*d*r + 206856588*d with respect to r.\nAnswer: -495087223*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j**2 + 7*j**2 + 2*j**3)*((-1 + 3 - 1)*(1 - 4 + 1) - 2 + 3 - 3 - 9 - 7 + 5) as x*j**3 + b + v*j + m*j**2 and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 195265\nAnswer: -78106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6\/76895, 2, 12, 2\/11, -0.1, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zba when three letters picked without replacement from zrabfafbt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(4) + (sqrt(256) - -1*sqrt(256) - sqrt(256)) + sqrt(4))\/(-2*sqrt(2)*-3)).\nAnswer: -15 + 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (250 - 286 + 5*u - 2*u)*(0*u**4 + u**4 + u**4 + (-6*u**3 + 2*u**3 + 2*u**3)*(0 + 0 + 2*u)).\nAnswer: -6*u**5 + 72*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, v: 3, r: 2, m: 4}. What is prob of sequence rvii?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -58*j**3 - 18*j**2 - 2*j - 2. Let y(d) = -2*d**3 - 3*d**2 - 1. Give o(f) - 6*y(f).\nAnswer: -46*f**3 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + 0.03. Let l = 0.44 + r. Let i = -2.3 - l. Sort 2\/13, -1\/2, i.\nAnswer: i, -1\/2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/6)\/(-5)*5. Let r be (10\/(-6))\/(-19 + 2142\/108). Let t = -32 + 161\/5. Which is the closest to t? (a) v (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/425 and -83\/50.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9231 divided by 51.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7 - (-20 + 25)) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -8)*(-3 - -1). Suppose j = 3*j + 4*t + 8, -4 = d*t. Factor 0*u + 0*u**2 + 2\/3*u**4 - 2\/3*u**5 + 0 + j*u**3.\nAnswer: -2*u**4*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/(-24)*(-1 - (-21)\/3). Suppose -60*o + r = -53*o. Solve -o*v = -3*l + 19, 0*l + 3*l = -4*v + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 358? (a) -0.5 (b) 0.1 (c) -3 (d) -2\/11 (e) 374\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/5, -11\/425, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*s - 86, -4*d + s + 85 = -78. Suppose -d = 40*p - 32*p. Which is the biggest value? (a) p (b) -20 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -273, 698 in decreasing order.\nAnswer: 698, 2, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.052667 - -0.05\nAnswer: 0.102667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 17. Is d(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52422 to three dps.\nAnswer: 0.524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -148, -73, 50, 221, 440, 707, 1022?\n\"Answer: 24*z**2 + 3*z - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 + 247. What is the second derivative of -d - 83*p**3 - p - 2993*p**2 + 2993*p**2 wrt p?\nAnswer: -498*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1144 and -1179 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 1545*c - 310451. Give a(180).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.080518?\nAnswer: 0.0161036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/20)\/(2\/10). Let j(m) = 2*m**2 - 3*m. Let c(o) = o**2 - 2*o. Let k(g) = n*j(g) + 6*c(g). Let w(p) = -3*p. Calculate k(w(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14430a7 (base 12) in base 7?\nAnswer: -46406425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 12*o**2 - 12*o + 7. Let b be p(-13). Let n(i) = -i - 6. Give n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:54 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2 + 5*k - 2*k - 1061*k**2 - 3*k. Let h be t(6). Let r = 96194 + h. What is r rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 11.21. Is 1 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 322 or 2\/1178723?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/76912 and 117\/69920?\nAnswer: 769120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((-950)\/(-180) + -5). Solve -m = -22*b + 31*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11482 and 0.013277.\nAnswer: 152.446514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 316\/5 (b) 1\/435 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from jjkedddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -25, -30, -35, -40?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + h**2 + 2*h - 4. Let l be k(2). Let x = -9 - l. Let d(u) = -78*u + 1. Is d(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 126*i**2 + 36*i - 4485. Determine j(126).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 2\/27 (c) -18\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/86 + 349\/430. Let d = 3\/5 - m. What is the nearest to 0.1 in d, 0.1, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckrrxxrcxcxxkckcx. What is prob of picking 2 r and 1 k?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.75 * 1.426.\nAnswer: 1.0695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 650 and 14.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 162, 4 in descending order.\nAnswer: 162, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 780*b + 6275. Give q(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q - 522. Let d(n) = 2*n + 87. Let u(y) = 6*d(y) + x(y). Let a(m) = -2*m**2 + 0*m**2 + 5*m**2. Calculate u(a(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-64)\/(-44))*((-8)\/40)\/(192\/3840)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6541*z = -6471*z + 3570 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 69780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65.8 + 66. Which is the nearest to 0.2? (a) n (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -36\/11, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378587274 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i. Let u(b) = 72*b**2 - 4*b + 4*b - 79*b**2. What is u(n(r))?\nAnswer: -448*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:29 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*l = 28, -3*v - 3*l = l - 46. Let p = v + 50. Calculate the highest common factor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -0.05426538.\nAnswer: -0.12426538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 9. Suppose 6*w + 15 = n*w. Sort 1, w, -2 in ascending order.\nAnswer: w, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394 by 44.\nAnswer: 197\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4768 - 1459. What are the prime factors of w?\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 284\/1197 + -2\/133. Put u, -3.1, 2 in descending order.\nAnswer: 2, u, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 60. Let i be (2\/6)\/((-4)\/k). Suppose i*a + 2*a - m - 11 = 0, -5*a - 3*m = -27. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viviivvivvvvivivvvv. Give prob of sequence iiv.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-7)*((-8)\/9)\/4. Factor -l*h**3 - 2\/9*h + 8\/9*h**4 + 8\/9*h**2 - 2\/9*h**5 + 0.\nAnswer: -2*h*(h - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 15. Let o = 37783\/18 - 2102. What is the common denominator of (w\/(-10))\/(8\/246) and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -90 + 75 + 0 + -78.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17053, 34090, 51111, 68110, 85081, 102018?\n\"Answer: -m**3 - 2*m**2 + 17050*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/(1323\/(-189)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419662689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1) + (-119)\/35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 67 = 107. Suppose 0 = 14*t - 13*t - m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7190.\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*u**2 - 3*j**3*u - 16*j**2*u - 4*j*u + 5*u**5 + u**4 wrt u?\nAnswer: -6*j**3 + 100*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*c + 767 = 21*c, 0 = -5*n - 9*c + 10*c - 26 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4, -0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c + 11 = -x, 3*c + 5*x - 49 = 0. Calculate the remainder when -13 + 1834\/140 - 4895\/(-50) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 30*z**2 - 375*z - 204. Give v(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/32*(-3)\/162*4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1110 and 360.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 68*d**2 + 164*d - 2116. Let m be a(66). Is m smaller than -218\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {f: 1, w: 2, q: 2, s: 1, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-1 + 5)) + -1 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a - 5. Suppose 3*l + 3*c + 3 = 0, -a = 5*c - 2*c. Let p be 2\/(8\/3) - 243\/(-108). Solve -d + 3*v - 12 = -p*d, -5*v = l*d - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -24*d**4 + 3*d**3 + 5*d**2 - 1. Let i(s) = 48*s**4 - 7*s**3 - 11*s**2 + 1. Let l(t) = 6*i(t) + 14*y(t). Find the third derivative of l(n) wrt n.\nAnswer: -1152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.1 + -7.9. Let i(d) = -d**2 + 6*d + 10. Let j be i(7). Let u be ((-39)\/(-21) + -2)*j. What is the third biggest value in k, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 2*k + 2*k + 10. Let w(h) = h**2 + 85*h - 5496. Let q be w(43). Calculate x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147722636 and 18.\nAnswer: 1329503724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*b - b. Let m = -2 - b. Differentiate -9*t + t + t - m + 4*t with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -194, -0.22, 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 6. Let q be ((-86)\/(-4))\/(2 + -1). Let x = q - 22. Which is the third smallest value? (a) 2 (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50)\/15*(-13 + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1026, 3, -25.6, -1\/5 in decreasing order.\nAnswer: 3, 0.1026, -1\/5, -25.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0 - 12, -3*c = 5*a - 4340. Is c a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 432 and 11.\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 8. Let n be x(-4). Suppose 2*f = 3*t + 8, -3*f + t - 3*t = -n. Let b(v) = -8*v - v**3 + 0*v - f*v**2 - 4 - 3*v**2. Give b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(9\/3)*(-7)\/14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:49 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490487 is divided by 1962?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a, -9 = -i + 4*a + 11. Suppose 2*f + 2 = 4*o - 10, i*f - 16 = 0. Suppose -o*n = -205 - 65. What is the greatest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 6 (c) -25 (d) 0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c1 - -89?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14*u**2 - 14*u + 6. Let v(t) = -9*t**2 + 9*t - 4. What is -5*g(k) - 8*v(k)?\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31292202 divided by 31292202.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19750 and 57.\nAnswer: -1125750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 233? (a) -2 (b) 2\/11 (c) -1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*r + 4, 4*u + 2*r = 26. Suppose u*a - 149 = 2*y + y, -5*y + 20 = a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*-3*3\/(-45).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2849 + 4769. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 154588*n.\nAnswer: -4*n*(n + 38647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (4 + -2)\/((-25)\/(-150)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*u + 845, 2*u - 93 = 2*j + 241. Suppose -x - u = -7*x. Solve x = -5*w - g, g - 4*g - 9 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (3*sqrt(66)*1 - sqrt(66)))\/(-1*sqrt(539)))\/(-3*-5*(sqrt(98)*2 - sqrt(98))).\nAnswer: sqrt(3)\/735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.53 - -6.64. Let d = -3 + m. What is d rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2688*d + 51. Let m(p) = 268*p - 5. Calculate -2*c(u) - 21*m(u).\nAnswer: -252*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 797*y - 3. Let d(z) = z**3 + 9*z**2 - 11*z - 11. Let g be d(-10). Let b be n(g). Round b to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*d**3*v**4 + 10*d**3*v**2 - 10*d**3 - 10361*d**2*v - d**2 + 3*d*v + 104195*v**4 wrt v.\nAnswer: 744*d**3*v + 2500680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/12 - 2*w**3 + 2*w**2 + 90*w. What is o(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 - 340 = -59*d + 175 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 16 = -2*w. Let h = 1702 - 1698. Suppose -4*g + 52 = w*r, h*g - 8*g - 83 = -5*r. Solve -v - r = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 2 = 18*k. Suppose 5*p - k*p = -5*f + 303, 2*p = 4*f + 180. What is the least common multiple of p and 14?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 21*r**2 + 21*r + 65. What is the hundreds digit of t(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -15 - 17) + 1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 65*g + 1945. Determine b(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**3 + 3596*p - 3596*p.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(-3 - 3 + 5)*(0 + 0 + 2)*(-18*p**3 + 14*p**3 - 12*p**3).\nAnswer: 128*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c)*(-3 - 3 + 4) - 311*c - 7584 + 7584.\nAnswer: -307*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = 3*j + 4*b, -25 = 3*j - 4*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*f. Suppose f = -2*l - 3*k + 6, 4*k - 18 = l + 1. Let s(q) = -5*q**2 + 2*q + 2. Calculate s(l).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:31 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 24 = 9*z + 16*z + 2*t, 4*z + 4*t - 1 = 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19790 and 53816926?\nAnswer: 3958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4 = -w, -5*m - 196920 = 5*w - 196880 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -91, 21, 6, -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/4 + 29*i\/2 + 841\/4 = 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 14. Suppose -b*t + 13 = -3. Let h be (-3 + t)\/(-1)*-1. Solve 3*a - 3*l + h = -1, 0 = -a - 3*l + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**5 + 15*n**4\/2 + 20*n**3 + 25*n**2 + 15*n + 1. Factor d(q).\nAnswer: 5*(q + 1)**3*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 2*o - 1. Let y(f) = 14*f - 10 + 46*f**2 - 2*f - 3*f - 76*f**2 + 11*f. Let r(j) = -10*a(j) + y(j). Let u(t) = 16*t**2. Calculate r(u(c)).\nAnswer: -2560*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -886*d**3 + 231*d**2 + 268322.\nAnswer: -2658*d**2 + 462*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 8*n**4 + n**2 + 4*n + 2*n**4 - 12*n**4 + 9 to h + g*n**4 + v*n**3 + z*n + x*n**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 13122548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 505 - 457. What is the greatest common factor of i and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:46 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 537 = -165. Solve w*a = 4 + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-45\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (6\/(-3) + 6). Let n = -1 - -1.1. Let s = n - -0.2. What is the closest to 0.7 in 4\/7, l, s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 7*h - 1. Let y be d(6). Suppose -r + 13 + 8 = -4*v, 20 = -y*v. Suppose -r*i + 3*i = -34. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/20 - 7*i**4 - 392*i**3 + 8*i**2 + 8. Determine b so that m(b) = 0.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = -5. Let j(i) = i**3 + 6*i**2 + 2*i - 11. Let o be j(f). Suppose 0 = -d - 3*d - o*y + 172, 0 = -5*y - 25. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 6. Suppose 2*h = 1 + 7. Suppose 2*f - 6 = -4*z - 28, -h*z + 2*f = 10. Let p be -2 + -1 - (1 + z). What is k(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99567 and 63963.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.72001767 rounded to the nearest integer?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -8. Let s be (-12)\/(-18) + (-700)\/k. Suppose 0 = s*d - 53*d - 12. Solve -6*z = 2*h - d*z + 2, 2*z + 13 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 18 + 1)*((-3 + 3 - 2*m)*(m**2 - 3*m**2 + 0*m**2) - 10*m**3 + 22*m**3 - 18*m**3) to r*m + x + p*m**3 + o*m**2 and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - q = -3*s - 25, -5*s = 2*q - 20. Suppose 6 = 9*i - s*i. Factor -12*k**i - 17*k**2 + 4*k + 30*k**2 + 3.\nAnswer: (k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let v(o) = o**2 + 6. Let j be v(0). Let y(a) = -a + j*a**2 + a. Determine b(y(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = h + 5*w, 4*h + 32 = 5*w. Let r(d) = -28*d + 104. Does 18 divide r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + 5 - (6 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193.862 - 0.138. Let p = m + 440. Let a = p + -245.9553. Round a to three decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1558 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkjjjgqkjqqkgj. What is prob of picking 3 k?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/23)\/w)\/(w\/w**(4\/9)))\/((w*w\/((w**(1\/6)\/w*w*w)\/w)*w)\/(w*w\/((w*w**(1\/9))\/w*w))))**(2\/11) assuming w is positive.\nAnswer: w**(-157\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 18*k = -120 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(36\/(-45) - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*m, -34*b + 3*m = -41*b - 100 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434341043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167608 divided by 23944?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7 - 19 = 0. Let i be (40\/(-6))\/(1\/c). Calculate the highest common divisor of i and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4\/5, 5839, -2, 2 in increasing order.\nAnswer: -2, -4\/5, 2, 7, 5839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - m - 1. Let g(x) = 9*x**2 - 2*x - 2. Let l(d) = g(d) - 2*r(d). Let o(n) = -22*n. Determine o(l(p)).\nAnswer: -154*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*86\/16 - 4\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from teitn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56, 246, 622, 1232, 2124, 3346, 4946, 6972?\n\"Answer: 8*l**3 + 45*l**2 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 5*t + 7 + 13*t)*(-3*t**2 + 2*t**2 + 3*t**2).\nAnswer: 2*t**3 + 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560801 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11259)\/(-22518)*6*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -2*s**5\/65 - s**4\/78 - 33*s. Factor z(o).\nAnswer: -2*o**2*(4*o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.93 - -0.07. Let s = 3 - f. Which is the closest to 1? (a) 1 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313956864 a multiple of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387 (base 11) to base 3.\nAnswer: -121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 228?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1340 - 1309. Solve -2*m + 26 = 5*d, -3*m + 4*d - n = -8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14385 and 2297901?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = -12. Put h, 3\/4, 0, -4 in decreasing order.\nAnswer: 3\/4, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2012 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1*h**(-31) assuming h is positive.\nAnswer: h**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {o: 1, y: 1, h: 5, x: 4, r: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/20996330 and -125\/9181446.\nAnswer: 2708526570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46960083 to two dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 7*h + 2*j + 14, h = -5*j - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/15 + 5*l**4\/4 + 10*l. Find the third derivative of t(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let t be b(-6). Let p be 50\/(-5)*(0 - -1). Let f be (p + 16)*(-1)\/(-2). Solve -3*s = -5*i - 7, -2*i = f*s - t*s + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 884 + 4?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*h + 151 = 5*i, i = 5*h + 14. Let w = i - 24. Determine d, given that 3 + 12*d - 3 - 51*d**3 - 54*d**4 - 57*d**5 + 42*d**w = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -26, -34, -46, -62?\n\"Answer: -2*v**2 + 2*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*l + l. Suppose -5 = -v - 0. Suppose -3*r - x = -0*r - l, 3*r = v*x + 18. Calculate the greatest common divisor of r and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200804680 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**6\/120 - m**5\/60 - m**4\/12 - m**3\/2 + 97*m**2\/2 + 2*m - 158. Let g(u) be the first derivative of o(u). Calculate g(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q + 80. Let v = q - -40. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 divided by -7695?\nAnswer: -34\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36183908?\nAnswer: 2, 9045977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - -1) + (-148)\/18*1406\/1924. Let w = 0 - 0. Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -q, 3*q = -2*w - 0*q + 4. Suppose -w*y - 44 = -7*y - 3*k, -11 = -2*y + k. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 5332.\nAnswer: 42656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161164.69 to the nearest one hundred.\nAnswer: -1161200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 176510, 176487, 176464, 176441?\n\"Answer: -23*k + 176533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -340, -540, -758, -994?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/((-1452 - -162)\/(-129)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t**3 - t**2 + 2*t - 1. Let r be n(2). Suppose 129 = 4*q - r. Let j = -10383 + 10402. What is the remainder when q is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 31. Let c(j) be the first derivative of -5*j**2\/2 + 142. Determine c(p(b)).\nAnswer: 25*b - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddt. What is prob of sequence dd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 + 104*m**4\/9 - 70*m**3\/3 + 164*m**2\/9 - 8*m\/3 - 16\/9 = 0 for m.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454208509 divided by 3.\nAnswer: -454208509\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26\/65*15*(-2)\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -280*z**2 + 1896*z. Let i(f) = -51*f**2 + 345*f. Let y(g) = -28*i(g) + 5*s(g). What is the second derivative of y(t) wrt t?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/74762779 and -62\/5066061.\nAnswer: 2467171707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001201 - 1?\nAnswer: -1001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43060000 rounded to the nearest one million?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(2 + -8). Let j be 2\/v - 1268\/(-36). Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + f - 14 = 7, 39 = -3*u + 5*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2135134 - -2372419.2. Let i = 237285.3440107 - m. Let l = i + -0.144. What is l rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/15)\/((-9)\/225) - -3. Let l = h - 112. Which is the second smallest value? (a) 3 (b) l (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 - 4921748*p**3 - 34452203*p**2 - 78747868*p - 59060892 = 0. What is p?\nAnswer: -4921741, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/4 + 789*c**3\/2 + 1944*c**2 - 10149*c\/2 + 10941\/4 = 0.\nAnswer: -521, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7766 is divided by 1288.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24011 = 446*i + 11523 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p - 234 = 0. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 312\/(-3) + (0 - 3). Let x = -105 - l. Let g(f) = -136*f**2 + 2*f - 2*f + 141*f**x. Let o(h) = 8*h. Determine g(o(p)).\nAnswer: 320*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*r + 1 + 3, 0 = -3*r + z - 22. Let y = 8 + r. Solve -y*l + 0 = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -47*i**3 - 12*i**2 + 117*i - 6. List the prime factors of t(-11).\nAnswer: 2, 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 r when four letters picked without replacement from {r: 4, h: 3, g: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/5 - 76*q**3\/5 + 104*q**2 + 4528*q\/5 - 2112 = 0 for q.\nAnswer: -6, 2, 20, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 29*b - 184. What is c(7)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -18*h. Let f be v(1). Let u = f - -31. Calculate the remainder when u is divided by (-1)\/((-3)\/30*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124452 - 1?\nAnswer: -124453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*k + 92*k + 2*k**4 + 86*k**3 - 6 - 34*k - k**2 in the form w*k**4 + f*k**2 + s*k + v + l*k**3 and give l.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 0.2, 5\/4, 3\/4, 42941?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k + 2. Let u be -8 + 0 + k - -3. Suppose u = -g + 5*g - 724. What are the prime factors of g?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9310072 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2. Let a(i) = 54*i**2. Determine c(a(u)).\nAnswer: 32076*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10638*a + 840397. Give w(79).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59191\/9 + 6577. Put b, -0.094, 15\/4 in ascending order.\nAnswer: -0.094, b, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559422989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1882873371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437 at least 6430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586 = -181*v - 1405 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, 0.4, -0.022, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 2*s - 1. Let o be i(-1). Let w(y) = 3*y**2 - y - 5. Let l be w(5). Suppose -l = -o*m + m. Calculate the remainder when 49 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/530644709 - 257232731389\/176477268936. Let u = w + -1\/1358. Find the common denominator of 51\/2 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**2\/2 - 45*j + 60. Let x(z) = z**2. Calculate x(v(u)).\nAnswer: u**2 - 90*u + 2025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14252 or 14382?\nAnswer: 14382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -19, -62, -135, -244, -395, -594?\n\"Answer: -h**3 - 6*h**2 + 6*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 3*x - 3. Calculate t(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1045 + 4472 + 3446 + 775)*(4*v**2 + 0*v**2 - v**2) in the form d*v + u*v**2 + p and give u.\nAnswer: 29214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/12*12\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165710 and 1498200?\nAnswer: 109368600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/15)\/(-4))\/((-55)\/30)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 11*l**2 - 13*l + 6. Determine h(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y, -3*r - 195 = -8*r - 4*y. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*o, -4*r + 0*r = -5*o. Suppose z - 2*u - u - 14 = 0, z + 4*u + 14 = r. Suppose -5*n - 4 = -4*n, z*a + 4*n = 46. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10355 + -6646. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose 2 = f*m - m. Suppose 2*o = 4*o + 5*k - 52, 3*o - m*k - 40 = 0. What is the greatest common factor of o and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 6*u**4 + 4*u**4 + 5 - u**4 to c*u**4 + b + l*u**2 + q*u**3 + a*u and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 266*k\/11 + 48616\/11.\nAnswer: -2*(k - 103)*(k + 236)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 13, -4 in ascending order.\nAnswer: -4, -3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 9 + 84. Let c(x) = -2*x**2 + 6*x - 2. Calculate c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 6. Let o(t) be the third derivative of t**4\/12 - 2*t**3\/3 - 13*t**2. What is 5*c(d) + 7*o(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 3. Let r(v) = v**2 - 23*v - 23. Let p be r(x). Solve 2*o + 4 + 1 = 3*h, 5*h = o - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 3. Let j be v(-6). Suppose -s - 33 = 11. Let z = -85\/2 - s. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 4*l + 3*l**2. Let p(a) = -57*a - 15. Let w(q) = -396*q - 100. Let r(b) = 20*p(b) - 3*w(b). What is r(n(f))?\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**2*j*j*j)*j\/(j*j**(1\/3)\/j*j)*j)**(-7\/9)\/((j*j**(-6))\/(j*(j*j**(3\/10))\/j))**(-28\/5) assuming j is positive.\nAnswer: j**(-22064\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, s: 5}. What is prob of sequence ss?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 28 = 4*r. Suppose 0 = -11*y - 6*y + 153. Suppose -3*j + 3 = -u, 5*j - u - 2*u - y = 0. Sort r, 1, j.\nAnswer: r, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q + 96. Let k(c) = -2*c + 176. Calculate the smallest common multiple of q and k(72).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2382, 7392, 15698, 27306, 42222, 60452?\n\"Answer: y**3 + 1642*y**2 + 77*y + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -58214.\nAnswer: -58254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 495926?\nAnswer: 495941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 21. Let o(i) = -325*i - 4853. Let g be o(-15). Solve -y*t + g = -11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 20*o + 8*y + 38 = 0, -4*y - 18 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2794832656 take away 0.2?\nAnswer: -0.4794832656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - 2*sqrt(13)*-4).\nAnswer: -1 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 - 1056*k + 69696 = 0?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 6:47 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(143)\/(2*sqrt(396) + sqrt(396)).\nAnswer: -1 + sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 1 - (-26 - (-22 + -14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -201*p + 198*p - 23 - 25 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 318. Let o(v) be the second derivative of v**3\/3 - 14*v + 57. Give z(o(t)).\nAnswer: -8*t**2 - 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from ntg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3696905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n**2 - 10*n**2 + 40*n**2 + 1 - 5*n**2 + 2*n**3 - 7*n**2 + 12*n to w*n**3 + m + a*n**2 + c*n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -262\/11*m**3 - 400\/11 + 292\/11*m**2 + 216\/11*m - 2\/11*m**5 + 60\/11*m**4 = 0. Calculate m.\nAnswer: -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l + 357*s - 371*s - 57 = 46*l, l - 4*s + 19 = 0 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**5 + 4*r**4 - 12*r**3 - 4*r**2 = 0. What is r?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 14*c - 32. List the prime factors of k(14).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*v**4 + 3*v**2 - 5*v**2 - 131*v**4 + v**3 - v in the form f*v**3 + l + w*v**4 + h*v + y*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12130 (base 4) to base 8.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 6*a - 8. Let m be z(-8). Suppose m = 4*r - 0. Suppose -3*p + 5*p - r = 0. Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01817133 rounded to 5 decimal places?\nAnswer: -0.01817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 9*w + 34. Let y be k(-10). Let q = -2 - -4. Suppose 0 = f + 2*m + 4, -q*f + y = f - 3*m. Calculate the remainder when 15 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 0, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 608 or 44389?\nAnswer: 44389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/8*8\/(-10). Let f(l) = -3 - 93*l**2 - 125*l + 128*l + 92*l**2. What is f(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -5*n. Let h(w) = 3*w + 4 - 10*w**2 + 8*w**2 + w + 3*w**2. Give h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (-5*sqrt(28)\/sqrt(4) - (-1*sqrt(175) + sqrt(175))**2) + (-1 + sqrt(1008) - 1*sqrt(1008))**2 + -4.\nAnswer: -5*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 12) to base 9.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86219775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 197 - 153 = 0. Solve 0 = -f + w*f - 52 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 870121 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/((4\/(-4))\/(-1)). What is the tens digit of -7*p\/(-3 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26663798851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 2*y**2 + 2. Let h be i(-2). Suppose -6 = h*c - 3*c + a, -19 = -4*c + 5*a. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 9*d**2 - 76*d + 88. Determine h(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -543 + 69. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-21 + 36 - 92)*((-6 + 3 + 1)*(-z - z + 4*z) + 0*z + 5*z - 4*z).\nAnswer: 231*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*m**3 - 19*m + 4?\nAnswer: 228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -2, 0.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-30) + (7 - 5)*-2)*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 1342?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 880 and 37573712.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -445 - -447. Let f(i) = 23*i**2 + 19*i**2 + 24*i**2 - 3*i - 81*i**j + 18*i**2 - 1. Calculate f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29 and 2964197.\nAnswer: 2964168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569051889?\nAnswer: 3, 7, 47, 251, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k**4 + 858*k**3 - 304*k**2 - 760*k + 384 = 0 for k.\nAnswer: -48, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 34. Suppose -3*q + m*n + 52 = 0, 50 = 5*q - 0*n + 4*n. Suppose -q*p - 15 = -19*p. Solve 10 = -5*h - r, 18 = 2*h - p*r - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 7979025\/152 + -52493. Calculate the common denominator of -85\/1026 and x.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*((q*q**(-4)*q)\/q)\/q*q*q*q)\/q*q**11)\/(q**1*q\/((q**(-4)*q*q)\/q)) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(((-30)\/(-3))\/(-5)))\/(21978\/132)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 440 + -3074\/7. Let r be (-96)\/(-189) - (-2)\/(-7). What is the third smallest value in h, 0, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-450 - 0)\/(2\/(-2)). Suppose -6*p + 246 = -h. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**3 + 34*x**2 - 37*x - 37. Is g(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -0.5, 2\/143, -1, -2\/13, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -77. Let m = u + -21. Suppose 2*g + m*g = 0. Solve -5*h - 40 = -5*k, 2*h + h - 4*k + 29 = g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/y*y**(-13))\/(y*y**(3\/16)*y*y*y*y*y*y\/y**(-3)) assuming y is positive.\nAnswer: y**(-339\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 11) + 1 - (48 - (24 - 11)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*a + 571*a + 513*a - 1860*a.\nAnswer: -182*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 384*-42818\nAnswer: -16442112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001101111101 (base 2) in base 12?\nAnswer: -19a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 924*d*i**2*k**2 - 12*d*k + i**2*k + 10*i*k wrt k?\nAnswer: 1848*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/28*((-24)\/14)\/(70\/(-196)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 10*d**2 + 8*d + 14. Let j(f) = 7*f**3 - 20*f**2 + 16*f + 29. Let v(a) = -2*j(a) + 5*z(a). Give v(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 51, 86, 127, 174, 227, 286?\n\"Answer: 3*s**2 + 20*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1403 less than or equal to -7021\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ueeueueeeeu.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 123504 greater than 123505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/12 + 1\/2. Suppose 4*q - 207 = -5*l + 4*l, -q + s = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**3\/2 - 3*u**2\/2 - 2*u. Calculate the least common multiple of (6*-2)\/((-1340)\/(-60) + -23) and d(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11398564, -4.\nAnswer: -11398564, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -154921 times -0.046\nAnswer: 7126.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 5566.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 5 + 0*l - 6*l + 2*l. Let o(b) = -6*b - 4. What is -4*h(g) + 5*o(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26876 and 1940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 + -11?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*j + 2 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/9*-3). Let w(f) = 14*f - 11. Let y = 65 - 64. Let k be w(y). Calculate the greatest common divisor of b and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 124*k**3 + 6*k**2 - 7*k - 9. Give z(-1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6 - a - 4 + 2. Let v be c(1). What is the second derivative of -22*t**v + 11*t + 12*t - 6*t**3 wrt t?\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - z = -5*z + 71, -4*i - z + 48 = 0. Let n = -21 + 41. Calculate the remainder when n is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 16*k + 14. Let w be p(-8). Suppose -5*c + 3*c = -630. Let h = c - w. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -14, -1 in increasing order.\nAnswer: -14, -8, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 14*s - 2. Let x = 5 - 3. Solve -s*f**2 - 4*f - 4*f**3 - x*f**4 + 4*f + 0*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r**3\/5 - 1752154*r**2\/5 - 11764133*r\/5 + 3504214\/5 = 0. What is r?\nAnswer: -250301, -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1.46, -0.5, -3 in decreasing order.\nAnswer: 0.2, -0.5, -1.46, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/330 + 1839\/(-66).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 831, 1874, 3335?\nAnswer: 5214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(8) + (5*(sqrt(2) + -1))**2 - ((1*sqrt(12)\/sqrt(6) + 5*(-2 + sqrt(2) + sqrt(2)))*6)**2.\nAnswer: -12237 + 7873*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -18 - 4) + (7 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**11\/9240 + j**7\/280 - j**4\/2 - 2*j. Let x(a) be the third derivative of o(a). Find the third derivative of x(b) wrt b.\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 3. Suppose 3*j + 4*y - 55 = 0, 2*y + 48 = h*j - y. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, i: 1, n: 1, y: 3, h: 3}. What is prob of sequence nhff?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 450*u**2 + 109*u + 418. Is g(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {y: 13, m: 1, c: 3}.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -68\/19 (b) -0.149 (c) 3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44 - 14\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 49 + 7. Let g = i - 10. Is 27 a factor of (-30)\/g*(-18)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-6 - (1 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*p = 629*p. Determine l so that 2 + p*l - 1\/2*l**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/(-18) - ((-12)\/3 - 0). Factor -2\/9*l**2 - 2\/9 + w*l.\nAnswer: -2*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12112120221 (base 3) to base 8\nAnswer: -324773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*s**2*v - 32*s**2 + s*v**3 + 2*s + v**3 wrt v?\nAnswer: 4*s**2 + 3*s*v**2 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*f**3 - 40527*f**2 - 20277009*f - 3381754501 = 0. What is f?\nAnswer: -1501\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooaoooocooooooo. Give prob of sequence ooo.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3350*g - 466350. Determine i(-139).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 20*o**2 + 43*o - 18. Let t be a(-22). Let p be (611\/(-42))\/(-13) + t\/(-14). Let v = -0.4 - -0.7. Put p, v, -0.3 in descending order.\nAnswer: p, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -391*h + 318*h - 1107*h to the form d*h + j and give d.\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 - 6. Let d(k) = -2*k**3 - 3. Suppose -9*j = 14*j + 2*j. Suppose 3*f + j*f + 12 = -4*z, 8 = -2*f + z. Determine f*a(h) + 7*d(h).\nAnswer: -2*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.030992 millilitres?\nAnswer: 0.001030992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 122212?\nAnswer: -122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h - y, -5*h + 13*y + 15 = 15*y. What is the least common multiple of h and 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1538a8 (base 12) to base 3.\nAnswer: -200020102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -8358, 84, 2 in decreasing order.\nAnswer: 84, 2, -15, -8358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 + 0.03. Let w be (33\/44)\/(3\/28). Suppose w = -5*p - 13. Which is the nearest to 2? (a) l (b) p (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6687.3 - 6687. Which is the closest to 1? (a) 3 (b) 87 (c) 1\/3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1265764 divided by -67\nAnswer: 18892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 788 - 771. Let f = 203 - 146. Solve q*k + 11 = -f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h - 7. What is w(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6929\/2072 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f - 366*f + 71*f = -2520 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492 = -3*p + 1468 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 6. Let s(v) = v**2 - 7*v + 5. Let d be s(x). Let q = -14\/3 + 25\/6. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13308968.4978 + -0.06\nAnswer: -13308968.5578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(8\/(-2)))\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -3832.\nAnswer: -3834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/4 - -11. What is the nearest to 1 in k, 4\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/639 and 109\/2082.\nAnswer: 443466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -0.3. Let o be (-920)\/152 + 30\/(14 - 9). Which is the biggest value? (a) 10 (b) i (c) -5\/2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1041292 = 3*o - 155705, 3 = -3*o. Round q to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 16*z**2 + 26*z - 28. Let g be d(-14). Suppose 2*u - 444 = -g*u. Suppose -6*k + u + 618 = 0. What is the remainder when k is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*d - 1414 - 70, 0 = -8*x + d + 5919. Calculate the remainder when x is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 14) in base 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 7*f**2 - f + 13. Determine z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:36 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26816 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 542 + -213. Let w = -3756 - o. Let g = w + 28549\/7. Calculate the common denominator of -43\/10 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + ((11 - 11)\/16)\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-3 - -2) - -5. Let q be 9 + 0 - (f - 0). Solve -3*z = -q*h + 13, 15 - 6 = -4*z + 5*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 64.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1)*-1*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -5*i**4\/4 + 4*i**3\/3 - 3*i**2\/2 - 5*i + 1. Let d(t) = 7*t**2 - 9 + 2 - 2 - 5*t - 9*t**3. Calculate -4*d(o) + 7*u(o).\nAnswer: o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -534 and 1.6?\nAnswer: -854.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + 12 - 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 1, x: 2}. What is prob of picking 1 q and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-4) + 57\/(-38) - 0. Factor -487*s**3 + 488*s**3 - 6*s - 3*s**2 + w*s**2 - 4*s**2.\nAnswer: s*(s - 6)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 67 + 131 + 8*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from kaakaaatkak?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16338402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/45 + 79\/360. Let n = 834 - 837. Which is the closest to n? (a) m (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*a**5 - a**4 - 108*a**3 + 4*a + 9571?\nAnswer: 880*a**3 - 12*a**2 - 648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:01 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12) + 0 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19268594 - -849002.\nAnswer: -18419592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a - 74*a - 3*a**3 + 39*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 8, u: 7}. Give prob of sequence nuu.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/48 + -3\/16. Let t = 928 + -3713\/4. Let w = l + t. What is the nearest to 1 in 2, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38400, 76799, 115198, 153597?\nAnswer: 191996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841519174?\nAnswer: 2, 331, 383, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}