diff --git "a/data/dm_maths/full_data/10582_11255.jsonl" "b/data/dm_maths/full_data/10582_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10582_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -4*c - 5*h - 7 = -16, 2*c = -4*h for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 5. Let o = u - -9. Which is the biggest value? (a) 0 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -122210?\nAnswer: 122204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10521 (base 11) to base 15.\nAnswer: 47ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 9. Let o be m(5). Let k be (100\/(-48) - -2)*o. Let r be 3 + (-4 - 15\/(-5)). Sort -4\/7, r, k in increasing order.\nAnswer: -4\/7, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1534106 times -65\nAnswer: 99716890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510267524 to the nearest integer?\nAnswer: 22589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 41*w**4\/2 - 5006*w**3 + 416541*w**2\/2 + 431641*w + 218344 = 0.\nAnswer: -1, 56, 7798\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1427 - 132709\/93. Let d = n + -101\/372. Which is the biggest value? (a) 61 (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -0.8 (b) -1\/8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -11, -4\/11, -2, -23?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -2\/3, -168?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 24*j**2 + 16*j**2 + 0*j + 10*j**2 + 2 - 13 to the form z*j + d*j**2 + m and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010121111220 (base 3) in base 14?\nAnswer: -412860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29112, -58218, -87322, -116424, -145524?\nAnswer: -174622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 151. Solve 2*v = -8 + z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 33941373.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 426061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 11*g + 34. Let i be b(4). Solve 4*n = k - n + 12, -3*n + i = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 - 7*v - 9. What is d(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - 7857\/45. Let x be z\/(-3) + 9\/(-27). Calculate the greatest common factor of 145 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -0.8. Let o = -2071.03 - -2088. Let n = -17 + o. Which is the second biggest value? (a) n (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**4 - 4*c**3 + 2*c. Let t = -12 - -16. Let i(j) = 3*j**4 - 7*j**3 + 3*j. Let q(a) = t*i(a) - 7*o(a). What is the second derivative of q(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -4.1 (c) -0.0001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -12. Let r = m + -7. Which is the second biggest value? (a) 0.2 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:13 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.6 + -11.6. Which is the smallest value? (a) 0 (b) u (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 - 5*t + 2. Suppose 9*z - 12*z + 33 = 0. Is b(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58007121 is divided by 61.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 597792 + -597767. Let v = 0 + -0.1. What is the closest to v in s, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -22059*u + 1. Let d(b) = 21*b. Calculate n(d(w)).\nAnswer: -463239*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -3*y - 57, -2*f + 7*f - 7 = -2*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -47?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9951.296 litres to millilitres.\nAnswer: 9951296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -115 + (-20 - (9 - 26) - (2 - 17) - 18)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -610832286, -610832284, -610832282?\n\"Answer: 2*j - 610832288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1303 - -1?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -2\/15 (c) -5\/194 (d) 14 (e) 0.4 (f) 1\/4 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 0.4 (c) -1244 (d) -2 (e) -4 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 273, 546, 929, 1422?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 863*p**2 + 42451*p - 706. What is j(-63)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 4, h: 1, y: 1}. What is prob of picking 1 y, 2 m, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (1 - 2))\/1. Let g = -345 + 370. Solve 5*t + r*t + g = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2*l + 98101*b**2 + 10388*b*l**2 + 2*l**2 wrt l?\nAnswer: -3*b**2 + 20776*b*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 1247*v - 354340. Calculate x(438).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279719 a multiple of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -24*l**2 + 9*l - 5. Let t(q) = -6*q**2 + 2*q - 1. What is -4*h(d) + 18*t(d)?\nAnswer: -12*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5079835, -10159501, -15239165, -20318827, -25398487, -30478145?\nAnswer: -35557801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600021?\nAnswer: 53, 49057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -412 in -0.1, -2\/11, -2\/3, 11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 28, -4, 2 in descending order.\nAnswer: 28, 2, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6678 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + h + 10 = 0, -4*s + 3*h + 16 = h. Suppose -s*w - 13 = -57. Calculate the remainder when 38 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 784, 1554, 2328, 3112, 3912, 4734, 5584, 6468?\n\"Answer: r**3 - 4*r**2 + 775*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/30 - y**5\/15 + 2*y**4\/3 + 8*y**3\/3 + 12*y**2. Solve r(j) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -18 + 24 + 17 - 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56, 220, 494, 878, 1372?\n\"Answer: 55*k**2 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7982417489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-8896)\/(-320) + (-1 - (-104)\/(-5))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1476*n + 2412. Determine u(1).\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-610)\/(-75) - 2\/15. Calculate the greatest common divisor of 80 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*x + 70948 + 26348 + 40872 = 0 for x.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57048*v + 59669*v + 275205 for v.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*g + 8*g - 10 = 0, 0 = 2*s + 5*g - 10. Let k(y) = y**3 + y - 1. Let d be k(s). Let b = d - -16. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, f: 5, q: 2}. What is prob of picking 2 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnnjnjnvv. Give prob of sequence vj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 106929*j + 4492822. Determine b(-42).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 256 - 250 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 5*y**2 - 4*y + 5. Let z be q(-6). Let g = -6 - z. Calculate the smallest common multiple of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) 1\/6 (b) 21 (c) -4 (d) 58\/71 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14620745 and 1685?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20993*l + 207088 = -22842*l for l.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/2 - 5) + -51 + 2. Let z = k - -60. Suppose 14 = -z*s + 9*s. Solve 5*q + s = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71859840.1 take away -0.5?\nAnswer: -71859839.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-8)*-1 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 8*a**2 - 6*a + 5. Let m be q(7). Let l = m + -7. Suppose 8 - l = t. Solve -c = -t*n, n - 3*c - 8 = -0*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 12*w + 45 = 0. Let d(a) = a**3 - 10*a**2 + 7*a + 11. Let l be d(w). Calculate the remainder when 178*1*l\/(-14) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqfi when four letters picked without replacement from {i: 3, f: 1, y: 3, q: 1, j: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + -5 + sqrt(17) + (1 + -1 + sqrt(17))**2 - 6*((2*sqrt(1088) - sqrt(1088)) + sqrt(17)).\nAnswer: -52*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 840*l + 2900. What is the units digit of c(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 - 25 - 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-108*h - 326*h - 325*h + 229*h)*(-h**2 - h**2 + 3*h**2) to the form a*h + v*h**2 + f*h**3 + q and give f.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooqq when four letters picked without replacement from qooooooq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8451, -3, 5, -4, 3 in descending order.\nAnswer: 5, 3, -3, -4, -5, -8451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 0)*(-1)\/(-3). Let m be 9000\/((q - 1)\/20). Round m to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/82785 and 29\/33?\nAnswer: 910635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3973140, -3, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z + 20. Let n(m) = -7*m - 9. Give -4*c(o) - 10*n(o).\nAnswer: 10*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4946457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 times 19161\nAnswer: 306.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -652*h**2 - 118198*h + 25410 = 0?\nAnswer: -363\/2, 35\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Suppose 4*j - 7 = 3*i, v*i = 4*j - 10 - 7. Let z be 0 - (-4)\/(16\/(-4)). Put z, 5, j in descending order.\nAnswer: 5, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9890\/29 + -341. Let n = y + 22\/203. Which is the nearest to 2? (a) n (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4*k**3 + 3055*d**4 + 2*d**2*k**3 + 1701*d**2*k**2 wrt d?\nAnswer: -48*d*k**3 + 73320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 22*g - 3. Let m be d(3). Suppose 27*k - 5883 = 3567. Suppose 0 = -14*i - 56 + k. What is the greatest common divisor of m and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005926917 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.86. Let b = -2.8 - t. What is the second biggest value in -4, -4\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 22 = 32. Solve -13 = -b*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a + 0*a**6 + 0 + 1\/6*a**4 + 3*a**2 + 1\/30*a**7 + 0*a**5 + 0*a**3. Find the second derivative of n(t) wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-51)\/18 - -3)\/1. Let j(q) be the first derivative of 2 - h*q**6 + 0*q**2 - 1\/4*q**4 + 0*q**3 + 0*q + 2\/5*q**5. Factor j(k).\nAnswer: -k**3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b)\/b)\/(b*((b*b\/(b**(-12)*b))\/b)\/b*b)*(b*b**(9\/4)\/b*b)\/b*b*b**(-13)\/b assuming b is positive.\nAnswer: b**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(56) - -1*sqrt(56))\/sqrt(8))**2 - (sqrt(70)*2)\/sqrt(10)).\nAnswer: -2*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(9\/(-162)). Solve q - 4*q - p = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 211437*t**2 - 40512960*t + 1943294976.\nAnswer: -3*(t - 70287)*(t - 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*y + (2*y - 2*y + y)*(1 - 3 + 4) + 5*y + 7*y - 6*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1, -3*j = -6*j - 2*d + 3985. Suppose j = 7*a - 1975. What are the prime factors of a?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 270 + 270.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1071 + 1071.2. Let k = -3.5 + 3.5. Which is the closest to g? (a) -1 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6 - 9. Suppose j - c = b*j + 279, -j + 2*c - 63 = 0. Let q = j + 108. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r**(2\/21)*r)**22 assuming r is positive.\nAnswer: r**(352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 2269 - 37 = 0. Calculate the remainder when v is divided by 71.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34819, 139285, 313403, 557179, 870619, 1253729?\nAnswer: 1706515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.7 + 45.7. Let x = p + -26.2. Is x greater than or equal to 2\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 22. Let h(r) = r**2 - 15. Let l be h(0). Let q be l\/(-4) + 2\/8. What is the highest common factor of q and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128.5853 + 128.03. Let n = t - -0.56. What is n rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/(sqrt(14)\/sqrt(2)))\/sqrt(800).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2. Let k(v) = -v + 1. Let o(h) = -4*j(h) - 5*k(h). Is 8 a factor of o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4572, -6021, -7472, -8925, -10380?\nAnswer: -11837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-4 + (-9918)\/319).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628685.\nAnswer: 3, 5, 17, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8043*u - 513*u**2 + 35234 - 3616*u**2 - 35234 - 3890*u**2 wrt u.\nAnswer: -16038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 5. Let h = 45 - 41. Suppose h*i = -i + 20. What is the tens digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 342598\/112 - 4\/14. Let d = -3071 + t. What is the common denominator of d and (213\/18 - 3) + 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-78))\/(150\/(-900))*(-2704)\/(-8)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46774*b - 144813 wrt b?\nAnswer: -46774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 11, s: 7}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 21 = 2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((((a\/a**(-2\/5))\/a)\/a)\/a)*a*a)**(-4\/9)*a**(-2)\/a**(2\/13) assuming a is positive.\nAnswer: a**(-2456\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8e (base 15) to base 2\nAnswer: -10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*b + 0*b = 23, 2*a - 4*b = 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (211 - 23*g - 211)*(31 + 44 + 9) to p + b*g and give b.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2 + h**2 + 6*h**3 + 0*h**2 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*k + 15*k**5 - 4207*k**2 - 4167*k**2 + 3*k**4 - 1 + 8314*k**2 wrt k.\nAnswer: 300*k**3 + 36*k**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 32 - 28 = 0. Suppose -2*s - s = -n. Solve s = -4*l - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514094355345 + 122\nAnswer: 514094355467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/95, -74, 5?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 1191*g + 2. Let r(f) = 782*f. What is b(r(j))?\nAnswer: -611524*j**2 + 931362*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuulliuausiususuiai. Give prob of picking 1 a and 2 l.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -1 (c) 0.5 (d) -1\/8 (e) 193 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -36*g - 15. Let n(q) be the third derivative of -5*q**4\/24 - q**3\/3 + q**2. Let x = 1470 + -1472. Determine x*m(z) + 15*n(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = a - 728, -p + 789 = 4*a - 2168. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*m + m**2 - 222 + 87 + 152 in the form y*m**2 + g + o*m and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 40581?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6824.\nAnswer: 6824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 139008.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -0.6.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l - 21. Let h(f) = -2*f - 5. Let j(u) = 26*h(u) - 6*x(u). What is the smallest common multiple of j(3) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -12. Let p = -37\/15 - -8\/3. Let j = 0.63 - 0.83. What is the nearest to 5\/4 in t, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-20)*(-30)\/(-4). Are -2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*p**4 - 10*p**3 + 23*p**2 - 14*p - 311 wrt p.\nAnswer: 108*p**2 - 60*p + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 94 (b) 2\/7 (c) 2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26505034*k**4 + 24924567*k wrt k?\nAnswer: -318060408*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 11*j + 6. What is u(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/18*(-156)\/3458)\/((-68)\/102)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 - 6*z - 7. Let c(t) be the third derivative of 7*t**5\/30 - 17*t**4\/24 - 10*t**3\/3 - 24*t**2. Let s(b) = -6*c(b) + 17*h(b). Calculate s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose g + 35 = -h*g. Let w = -1041\/2 + 515. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 1 + 4 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20\/(-70) - (426\/(-21))\/1 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1291, 2, -226, -1 in increasing order.\nAnswer: -226, -1, 2, 1291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-285)\/30)\/19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = i - 51, 3*w - 7*w + 236 = -4*i. Let s = 57 - w. Suppose 2*h + s*a + 4 = -0*a, -5*a - 12 = 4*h. Solve 5*n + 2*m + 2 = -13, 2*n = h*m - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2609*b + 10 = -2610*b - 5*n, 6*b - 4*n = 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 - (2 + -5). Let t(g) = 0*g - 1 + r + g. Let o be (0 - 1)\/(3\/12). What is t(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 21. Let g = -21 - q. Let p = -640\/7 - -92. Put -3, g, p in decreasing order.\nAnswer: g, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 219 + -149. Let z(m) = -m**2 + 337*m + 6525. Calculate the remainder when z(-18) is divided by r.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30013032 (base 4) to base 14\nAnswer: 1411c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291219 is divided by 653.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:28 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4361.096nm?\nAnswer: 0.000000004361096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17539409 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.585369 months to millennia.\nAnswer: 0.00229878075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19332181, -19332183, -19332185?\n\"Answer: -2*f - 19332179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*g - 37 + 22 - 152*g to j + c*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v**(-2\/15)*v))\/(v\/v**(-8)))**(17\/7))**(7\/4) assuming v is positive.\nAnswer: v**(-2261\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112033 (base 4) to base 9.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 5. Let f be q(-3). Let d be (f + (-3)\/1)*-1. What is the units digit of (-14)\/(d - 3) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-4)*2)\/(75\/80855). Let a = 1628 - k. Calculate the common denominator of a and -47\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q + 1. Let u(b) = b - 6. Let p be u(0). Let c(r) = -3*r**2 + 6*r + 5. Let y(f) = p*j(f) + c(f). What is the derivative of y(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7148, -4, -3 in increasing order.\nAnswer: -7148, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-229*j - 365*j + 691*j + (-4 - 1 + 3)*(-1 + 1 + j))*(-4*j - 8 + 8) as l*j**2 + a*j + z and give l.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0*j**3 + 3*j**2 + 5\/24*j**4 - 2*j + 0. Let s(d) be the first derivative of h(d). Let u(w) = -w. Determine u(s(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 706873 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44169*h - 11342 = 44383*h for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 x when three letters picked without replacement from eoxqqsqeeeo.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0*2\/(-10))\/1. Suppose -i + 3*k - 18 = 0, 2*i = -3*k - y*k. Let x = i + 29. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*k - 5 = -2*k, -5 = 5*r + 5*k. Let f = r + 6. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 1715*z + 5100 = 0.\nAnswer: 3, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19294 - 19289. Solve 1 = -i, 0 = -27*r + 23*r - b*i + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*v - 144840 = 0, x - 56*v + 61*v = 28972. Is 62 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - q**3 + 0*q**3 + q.\nAnswer: -q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.2*-0.11.\nAnswer: -2.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/18)\/((-2)\/4). Let f be ((2 + -6)\/u)\/((-50)\/(-75)). Solve 17 = f*b + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + (-19)\/(-4). Let n = g - 0. Let v be 2*12\/(-6) + 12. Solve n*j - 4 = q + 6, -q + v = j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40398846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34781 is divided by 13619?\nAnswer: 7543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 474 - 2371\/5. Let v be 4*1*(-1)\/(-1). Suppose 1 = -k + c, -v*k + 13 = -k + 5*c. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 282282 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) 2 (c) 87 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 33*j - 18*j - 87649, p + 5842 = j. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 10 + 271*i - 41 as s*i + t and give s.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) + 937\/(-11). Let k be (-1)\/(2\/(i + 3)). Let x = k - 21. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*k, 0*t = 2*k + 2*t - 8. Determine m, given that 28*m**3 - 36 - 224*m - 196*m**k - 92 - 2*m**4 + 130*m**2 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.5 - 15.2. Which is the nearest to 5? (a) 5 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - w + 1. Let t(b) = 195*b**3 + 13*b - 13. Determine 13*r(v) + t(v).\nAnswer: 169*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -351, -323, -259, -147, 25, 269, 597?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - ((sqrt(135) + sqrt(15))*-5 + sqrt(15)))\/sqrt(3) - -4*(sqrt(40)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/2)*k*k*k*k\/(k*k\/k**7*k))**(-13\/7) assuming k is positive.\nAnswer: k**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 927991139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -16\/29, 1, -20, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-8)\/21)*12010\/18015?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.3589 - 1.3589. Which is the second smallest value? (a) -5 (b) 1 (c) -2\/57 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m**2 + 38*m**2 - 9*m**2 + 83 - 5*m**2 wrt m?\nAnswer: 58*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 8*n - 3. Let i be g(-6). What is the greatest common factor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.13121\nAnswer: 0.13121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/39 and -23\/168.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + i**3 - 3*i**3)*(-i + 7*i + 4*i).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*u - 270 = -2*y, -u - 5 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175.46919614 - -173.666181. Let z = p + 1.803. What is z rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 - 115*c - 555. Calculate the least common multiple of y(-19) and 961.\nAnswer: 5766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.116, 2, -360, 0.5, 5 in decreasing order.\nAnswer: 5, 2, 1, 0.5, -0.116, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h - 64. Let y = 20 - h. Let v(a) = a**2 - 5*a + 6. Is v(y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 69*c - 1146. Determine k(38).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(475) - ((sqrt(475) + 2 - sqrt(475)) + -4)**2) + (sqrt(475) + (sqrt(475)*1 - sqrt(475)))**2*2 - (-3*1*sqrt(475) - (sqrt(475) + 0 + -4))**2).\nAnswer: -6670 + 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.716 + 2.93. Round q to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 748438039 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 16*a**2 + 14*a + 17. Let x be t(15). Let l be 2\/(x\/1 - 4). What is the third biggest value in -1\/5, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Let s = 9.5 - 10. Let w = 57627 + -57626.6. Which is the closest to l? (a) s (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-8) - -3)\/(3\/(-6)). What is the units digit of 245 - (-3 + l - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16083310 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n + 437 = 3419. Let o = n - 110. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4. Suppose -3*y + 15 = -8*y. Let z be a(y). What is the greatest common factor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -184*x + 30718. Calculate k(171).\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9915*i - 79369. What is m(-8)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 35*c**2 - 180*c - 70. Let z be a(-29). What is the highest common divisor of z and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**6\/360 - b**5\/15 - 29*b**4\/12 + 23*b. Let g(v) be the third derivative of p(v). Give g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 77?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 340313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -556\/9 - -76163\/1233. Let i = j + 559\/1507. Does i = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19075 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: Solve -68*a + 84 = -52 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 44*r**2 + 63*r - 139. Let b be f(23). What is the highest common factor of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -526 - -529. Let r be 0 + -2 + -4 + -1. Let u = 13 + r. What is the smallest common multiple of u and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 7 (c) 0.3 (d) 1.5 (e) 0.4 (f) 30 (g) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -78*i**4 - 556*i**3 + 7206*i**2\/13 + 1068*i\/13 - 32\/13 = 0.\nAnswer: -8, -2\/13, 1\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 0, 204, 3 in descending order.\nAnswer: 204, 3, 1, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 8.1, 14, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, -0.5, 16379, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 947.2073 litres?\nAnswer: 947207.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -294465 (b) 37 (c) -3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-3 - (-24)\/(-4) - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202272 divided by -25284.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 11 + 23*c**2 + 4 - c**3 + 5*c - 11*c**2. What is the tens digit of i(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206947644\/5 or -41389530?\nAnswer: -41389530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38386 + 83004.7.\nAnswer: 121390.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111650 (base 7) in base 8?\nAnswer: 46650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.68, 2\/9, 5, -26 in decreasing order.\nAnswer: 5, 1.68, 2\/9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 2, c: 1}. What is prob of sequence vn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-10\/9)*s*s)\/s)\/s*s*s**(-5) assuming s is positive.\nAnswer: s**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50047 = -5*f + 6*s - 10*s, -s - 30018 = -3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - g + 3)*(-5 + 1 - 2)*(2*g + 0*g - 15*g).\nAnswer: -78*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(18)\/(sqrt(96)*-1) - (sqrt(2904) + -1*sqrt(2904) - sqrt(2904))\/sqrt(8)))**2.\nAnswer: 5547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 23 = -2*d, 3*d + 64899*r = 64902*r - 96 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79613?\nAnswer: 79613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:28 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:05 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 - -0.2. Let p = -0.373 - -0.063. Let u = p + w. What is the smallest value in 3, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (0 - 4 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/21*-15*((-3)\/15 + -1). Let c(q) = -4*q + 20. Calculate c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*o + 0 + 812*o - 408*o + 0.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768483927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16 - 1.6?\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15294\/(-138)*(-3)\/(-27)*51. Let a = p - -628. What is the common denominator of a and 101\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 343 - 325 - 18\/(-5)*(-910)\/(-52)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1308.674?\nAnswer: 3926.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35064 divided by -5844\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:07 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -750bc5 + -1?\nAnswer: -750bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 + 21*a**3 + a**2 - 1209*a - 1190 = 0. Calculate a.\nAnswer: -17, -10, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 7*a**5\/120 + 7*a**3\/6 - 7*a. Let d(n) be the second derivative of h(n). Let x(z) = 3*z. Determine x(d(m)).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111943529.6 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**19*i*((i*(i**(-2\/3)*i*i)\/i)\/i)\/i)**(-25))**42)**(-4\/21) assuming i is positive.\nAnswer: i**(11600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/1 + ((-20295)\/(-44))\/45\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 356.5484 decades?\nAnswer: 3.565484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 equal to 1576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z + 8. Let t(g) be the third derivative of -13*g**4\/24 - 11*g**3\/6 + 4*g**2 - 3. Let n(c) = -7*o(c) - 5*t(c). What is n(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59589323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 1792835716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + w - 172108 + 172084 = 0, 0*w = -5*u - 2*w + 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650013 is divided by 1867?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -8*g + 80. Is g greater than or equal to 31\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88305240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144809 and 1193353?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as 57945\/7217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*l**2 - 60540*l + 15136 = 0. Calculate l.\nAnswer: -3784, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2 - 6. Suppose -3*h + 4*k = 18, -m*h - 5*k + 13 = -h. Let c(z) = -19*z**3 + 3*z**2 + 3*z + 3. Is c(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.2*-4.\nAnswer: -312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1072 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 23746.238791 and -13991.\nAnswer: 9755.238791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2506704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118370 and 3138?\nAnswer: 185722530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (202*f - f**2 - 202*f - 1 + f**3)*(-f + 3*f + f - f - f + 0*f + 2 - 2 + f + (0 + 1 - 3)*(f + 2*f - f)) as r*f**4 + v + b*f**3 + k*f + m*f**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 5*i**2 - 5*i + 6. Let f be s(-6). Let n = -15 + 23. Let x = -13 + n. Which is the biggest value? (a) -0.1 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 4*g + 2. Let m be c(-2). Suppose -m*r + 2*r + 29 = -5*y, -y = -3. Let t = 32 + -21. Calculate the highest common factor of t and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from zzriziiiiizqiqqrziii?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 + 280*x - 796. Calculate m(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 4*f, -x - 26*f - 68 = 3*x - 27*f for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1891 - 24571\/11346. Calculate the common denominator of c and 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*z - 20*z - 8*z + 1700 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**2 + 73*r + 352. Determine f(-4).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/16296*-267)\/(9*2\/(-21)) and 99\/80?\nAnswer: 23280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 35 + b**2 - 16 - 18 - 5*b as p*b**2 + o + w*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 724151637 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l + 100*l = 950080. What are the prime factors of l?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2054424 divided by 1027212\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*56\/252*-6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11000201122 (base 3) to base 6\nAnswer: -1410542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l + 180 = 4*l + 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.3 + 20. Suppose 4*l - 18 = -2. What is the biggest value in 5, l, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7550051 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1104 + 653. Let i = -434 - s. Solve 22*g - 5 = i*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*i - 3*r - 15, -5*i = 3*r - 15. Suppose 4*w - 12 = 4*a, 0 = -4*a - a + 2*w - i. Suppose 0*d + 5*l - a = -d, -2*l + 29 = 3*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370 divided by 12?\nAnswer: 395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1356788 or 1356776?\nAnswer: 1356788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2762*t**2 - 5530*t**2 + 24 + 2765*t**2 in the form j*t**2 + s*t + v and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 5, u: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(1376\/(-48)) - -3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.68956 rounded to 0 dps?\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -363497814 divided by 6?\nAnswer: -60582969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*d + d. Let n be (-112)\/(-1) - (6 - 4). What is the highest common divisor of d and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 21*q**2 - 81*q - 707. What is the smallest common multiple of 110 and f(-19)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/1*-3*(-4)\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2828 is divided by 265?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 3*r - 4 + r)*(-3 + 3 + 3)*(-8 + 3 - 1) to i*r + c and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Determine p, given that -4*p + p**2 - 2 - 4*p**3 + 11*p + v*p**2 = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290824 is divided by 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16888 by 2.\nAnswer: -8444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + h + 3\/2.\nAnswer: -(h - 3)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25964015.4s to days.\nAnswer: 300.5094375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 9*l**2 + 11*l + 10. Let d be q(-7). Suppose 0 = 2*o - d - 3. Let c = -1 + 4. Solve -n - 2*n = 3*s + c, n - 3*s + o = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 22*n**4\/5 - 3134*n**3\/5 + 25188*n**2 - 968616*n\/5 - 1097712\/5 = 0.\nAnswer: -1, 126\/11, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0, 90899?\nAnswer: 90899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 348?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310 divided by -6?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 + -0.04. Let z = a - 0.1. What is the biggest value in 3, -0.3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6008 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l - 710 = 34*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 2\/3, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 161*i**2 - 5*i + 17. Let q(x) = 402*x**2 - 12*x + 42. Let g(n) = -12*c(n) + 5*q(n). What is the first derivative of g(y) wrt y?\nAnswer: 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502007 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59.476 (b) -1 (c) 10 (d) -2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 10:41 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 82 = 2*m. Suppose -6*j + 7*j = -3, r - 88 = 3*j. Do r and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikijiijkkijjki. What is prob of sequence kji?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8110*b**3 + 6*b**2 + 275.\nAnswer: 48660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 + -195.84. Let y = b - 5. Let j = y - 0.16054. What is j rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -38d?\nAnswer: -37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gnqnggggngqbxnxggn.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(468) + 1) - ((sqrt(468) + 0)*-3)**2 - (1*(sqrt(468) - (sqrt(468)*-1)**2) + 3*(sqrt(468) + -1))).\nAnswer: 54*sqrt(13) + 3746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 plus 4.29954761?\nAnswer: 4.21954761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by (-16392)\/(-168) - 50\/(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5 - 80*x**4 + 512*x**3 - 1024*x**2 = 0. What is x?\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683*x - 680*x + p = 3836, -p = 4*x - 5114. Calculate the greatest common factor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*x - 108 + 107, -3*x = 5*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1090\/43001?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/((-2)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 5, -0.2, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 64 = 2*k. Calculate the remainder when (-42)\/231 - 1036\/(-11) is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414452965543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -4*o + 8*g + 81, 3*o + 4*g = 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -666\/19 in 0.4, 0, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4342.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375858022 a multiple of 3266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -127 - (-1262 - -1312).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w*x**3 - 5*w*x**2 + 2*w*x - 2*w + 579*x**3 - 3*x**2 - 5205*x wrt x?\nAnswer: 6*w*x - 10*w + 3474*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 - 236485.963178?\nAnswer: -236485.833178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 2*w**2 + 0 + 1\/6*w**3 + 1\/24*w**4 + 0*w + 7\/30*w**5. What is the tens digit of x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176)\/sqrt(4))\/(sqrt(4) + sqrt(20)\/(sqrt(5) + sqrt(15)\/sqrt(3) + sqrt(5) + sqrt(5))).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. What is the tens digit of (x\/(-6))\/(2\/(-90))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3523 + 5275. Suppose 0 = 4*s - m - 3848. Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f**(-1)\/f))\/(f*f**(-6)*f*f))\/(f*f\/(f**(-2\/5)\/f))**31)**(-6\/11) assuming f is positive.\nAnswer: f**(2922\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**2 - 61*g + 20. Let s be v(-7). Calculate the greatest common divisor of 57 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -506, -1226, -2244, -3566, -5198, -7146, -9416?\nAnswer: -12014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-33)\/p)*p)*p\/((p\/(p*p**27))\/p))**(-46) assuming p is positive.\nAnswer: p**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {a: 11, z: 2}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.059 from -0.62.\nAnswer: -0.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 + -103. Calculate the least common multiple of 20 and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.979 rounded to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1038599 and 0.1.\nAnswer: 1038599.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4911697480 + 522\nAnswer: -4911696958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 50004*y + 1. Let m(p) = p. Let a(z) = 5*m(z) - x(z). Let t = 3 - 2. Let c be a(t). Round c to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 14*b**2 + 16*b + 16. Calculate l(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-225)\/50*(0 + 8\/(-18)). What is the closest to 1 in 2\/9, 29, d, -4\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(847) - sqrt(847)) + -3 + 3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 2. Let x = -0.097 + 0.133. Let i = 4.964 + x. What is the smallest value in 4\/7, i, a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46211*a**2 - 3*a - 2*a + 15217*a**2 + 5*a.\nAnswer: 61428*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 + -99. Solve -3*z = v - z - 1, h*z = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -5, 10\/1291, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1.2, 4\/31, 177, 3?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.3 (b) -3 (c) 8 (d) 11 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12065?\nAnswer: 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 2*j + 100. Let n be h(0). Let b = -96 + n. What is the units digit of 122\/4*(-1)\/(b\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0413 and 1880054611.\nAnswer: 1880054610.9587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/16*1)\/((-3)\/24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 0*v - v + (1 + 1 - 1)*(1 - 1 - v) + 41*v - 9*v - 15*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150684 is divided by 286.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2798 - 2791. Suppose -5*q + 12 = -3*q. Suppose -f*o + q = -8. Are o and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247\/605 - 1\/121. Let g(m) be the first derivative of 0*m - 4\/3*m**3 + 0*m**2 + 3\/2*m**4 + 2 - c*m**5. Let g(j) = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -74 + 5. Let l = j + 34. Is (l - 7)*83\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*n - 8 + 4, 4*q = -4*n. Let p be (-30)\/(-210) - (-522)\/21. Find the first derivative of 24*a**3 - q - 35*a**3 + p*a**3 wrt a.\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 * 857.\nAnswer: -47992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/175 and -31\/48575?\nAnswer: 340025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 19*a + 22*a + 140. Sort -102, a, -28.\nAnswer: -102, -28, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 10:54 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/2))\/(f*f**(-15)))\/((f\/(f*f\/(f*f*f\/(f**(-2\/11)*f))))\/(f\/f**(-12))) assuming f is positive.\nAnswer: f**(601\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t. Let y(h) be the first derivative of h**2 + 1. Calculate k(y(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128.75 * -7887.\nAnswer: -1015451.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 15*z**2 + 3*z + 2. Let o be x(14). Is (-5)\/25 + o\/(-10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5848 and 650641?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*v - 15 = -9*v, 0 = -5*r + v - 9. Let k be (r\/2)\/((-4)\/8). Put k, 3, -5 in increasing order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + (-4 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100939154 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4\/3, 5, -2\/5, -8\/57?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15671260 is divided by 824802.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -9. Which is smaller: -1\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43519.38um in kilometers?\nAnswer: 0.00004351938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1566 (b) -26\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133094 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5524 - -447434\/81. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.3.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:09 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2456996*r**3*s + 6*r**3 - 317928*r**2 wrt s?\nAnswer: -2456996*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 107003 = 61685. Let k = c + -60165. Let w be (-7 + k)*490\/(-6). Round w to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z + 1. Let f be q(-1). Suppose n = o - 7, f + 12 = 4*o - 2*n. Suppose -2*a - 17 = -o*a. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.028 and -56?\nAnswer: 55.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = -7*u. Let z be (u\/(-6))\/(2\/18). Find the second derivative of z*x - 4*x**2 + 6*x**2 - 4*x wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25\/2*x**3 + 0*x + 0 + 5\/2*x**2 = 0. Calculate x.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1351*a**4*s**2 - 134*a**4*s - 99*a*s**2 - 2814*a - 3*s wrt a.\nAnswer: -16212*a**2*s**2 - 1608*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/6, -6, 11 in decreasing order.\nAnswer: 11, 2, 1\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21635743 from 81.\nAnswer: 21635824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -2.2. Let t = g - -2. Which is the third smallest value? (a) 0.3 (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19*m**3 - 2*m**2 + 13*m + 11. Is c(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 591024031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22284012, 44568073, 66852146, 89136237, 111420352?\nAnswer: 133704497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16204877 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z + 10. Let f(d) = -6*d + 9. Suppose -16*v - 473 = -553. Suppose -11*k - 30 = 14. Determine k*n(h) + v*f(h).\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*h + 211 = 0, -8*d - 4*h + 184 = -4*d. Let s = -21451\/1497 - 2\/499. Calculate the common denominator of d*3\/(-24) + 2 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*q**4 + 0*q**3 + 1\/3*q**2 + 0 + 0*q = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275476657441 plus -0.4?\nAnswer: -275476657441.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62560 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451*g**3 + 2*g**2 + 395*g**3 - 788*g**3 - 200*g**3 + g**2.\nAnswer: -1044*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/2))**(-50))**18*(g*g\/((g*(g\/(g*g*g**(-1\/4)))\/g*g*g)\/g))**(2\/17)*g**(-5)*g**(-1\/8)\/g assuming g is positive.\nAnswer: g**(-184405\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*z - 25*z - 297 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3 + 3)*(0 + 2 - 1) - 180*d + 361*d - 183*d + (-4 + 2*d + 4)*(-4 + 3 + 3).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Suppose -5*n + n = 0. Let o(v) = 0 + 0 - 3*v + n. Determine o(j(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 6*a + 6. Let y be n(-5). Let t be 0*(y - 0\/(-2)). Is (1 + 29)*(1 - t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 37*w - 6. Determine i(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -7 - ((-11 - 1) + 3). Let b(n) = -n - 6. Determine b(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (71 - 63 - (-7 - -1))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k*k*k\/(k\/(k*k*k**9*k))*k*k)\/k)\/k*k**(6\/11))**12*k**0*k*k\/(k*k**(-2\/11))*k*(k\/k**(-1\/2))\/(k*(((k\/(k*k**2*k*k))\/k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(4559\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 2, -2, -89, -6, -1, 15 in decreasing order.\nAnswer: 41, 15, 2, -1, -2, -6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3cb (base 13) to base 5\nAnswer: 10144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - 10\/(-5) - (-12)\/3. Suppose -4*i - k + 158 = -3*k, -k - 41 = -i. Calculate the remainder when (-12 + p)\/(-2) + -7 + 75 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**5\/2 + 207455*i**4\/2 + 2154884635*i**3\/2 + 62352110425*i**2\/2 + 180505231620*i = 0.\nAnswer: -20731, -21, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:10 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 18*z - 5*z - 9*z)*(z**2 + 4*z**2 - 3*z**2).\nAnswer: 8*z**3 + 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 7*t**2 + 1\/12*t**4 + 2*t**3 - 26 - t. What is b(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5660*m + 33465. Give r(-6).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/60 and -81\/7730.\nAnswer: 46380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*y**2)*(-19 - 78*y + 160*y - 79*y).\nAnswer: 12*y**3 - 76*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1705 + 3776?\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**5 + a**4 - 3*a**3 + 65*a**2. Let p(q) = 2*q**5 - q**3. Let h(t) = -2*j(t) + 6*p(t). Find the third derivative of h(i) wrt i.\nAnswer: 480*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/5 + 2\/15. Suppose -n = 5 - 2. What is the nearest to l in 0.4, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 1. Let x(b) = -10*b - 4. Let o(w) = -2*x(w) - 7*z(w). Let d be o(-1). Let g = 1 + d. Solve -4*h = c + 4, 2*h + 30 = 5*c - g*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35942*b**3*q**3 - 16493*b**3 + 5*b**2 + 133*b*q**3 - 25*b*q + 5*q wrt q?\nAnswer: -215652*b**3*q + 798*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583311 is divided by 3871.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.11 - 0.11. Let v = f + -3. Let w = -2 + v. What is the second biggest value in 2\/5, 0.2, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*q + 318 = 0, 0*z - 5*z + 313 = 2*q. Suppose -113 + z = -5*u. Solve 5*m - u = -5*a, 2*a + 4 = 4*a - 5*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let j(u) = -7*u + 5. Let v be j(o). Which is the smallest value? (a) -0.4 (b) 0.2 (c) 5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - p = 77, -36 = 3*k - 6*k + 4*p. Solve 6*u - k = 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*1*-1*15\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.0994m in nanometers?\nAnswer: 285099400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 3*v + 165 = 0. Suppose -2*i + v*i = 234. What is the remainder when i is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/150)\/(585\/50)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 8*i**2 - 11*i + 8. Let v be z(-6). Solve v*s + 5 = 7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-8))\/s)\/(s**(-11)*s)*s**5\/s**(5\/6) assuming s is positive.\nAnswer: s**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 - (-2 - -3)) - (-475 - -466).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 5)\/(300\/(-40)). Factor -q*r + 2\/3*r**2 - 4\/3.\nAnswer: 2*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097000 is divided by 109650.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3088, 14428, 33344, 59848, 93952, 135668, 185008, 241984?\nAnswer: 306608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4 + x + 3. Let w(c) = 4*c**2. Calculate k(w(m)).\nAnswer: 192*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533536*y + 1330 = -533631*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a5e63 - 0?\nAnswer: -3a5e63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 369?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 12*f + 4. Let v be r(6). Suppose -g = v*h - 11, g - 3*g = h - 8. Let s(p) = p**3 - 2*p**2 + 2. Determine s(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77070 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/4, -0.3, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-3)\/(-3)) - 1*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 20310550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -585 (base 9) to base 14\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 799949987 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: Rearrange (-157 - 70*b + 157)*(2*b**2 + 0*b**2 - b**2) - 2*b**3 + 0*b + 0*b to the form v*b**3 + m + l*b + z*b**2 and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 53 = 18. What is the third derivative of 44*z**3 - s + 5 - 3*z**2 - 6*z**2 wrt z?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 1. Let c = b - -1. Let s = 21\/4 + -281\/52. What is the second smallest value in c, 2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324716 divided by -162358?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 5*q**3\/3 - q**2\/2 - 2*q. Give d(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {k: 6, n: 6, i: 3, d: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0, 0.200005, 18?\nAnswer: 0.200005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:10 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let y be (-564)\/(-88)*4\/(-54). Let w = y + 4\/11. What is the nearest to m in -1, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -0.018515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 329\/(-987)*(-198 - 3).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -459*r**3 - 32*r**2 + 464*r*s - 13098*s + 3350 wrt r?\nAnswer: -1377*r**2 - 64*r + 464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 15 - 54925\/2*d**4 - 156*d**2 - 16\/5*d - 3380*d**3. Suppose s(v) = 0. Calculate v.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-13)\/5)*(1081\/(-69) + -21). Which is bigger: f or 74?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 40?\nAnswer: -27\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by -10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 16 + 18 + 6)*(204*m**3 - 204*m**3 - 7*m**5).\nAnswer: -315*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:00 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-126)*12\/10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2 - (0 + 3)). Let m(o) = 17*o - 8. Is m(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14192873, -28385889, -42578903, -56771915, -70964925?\nAnswer: -85157933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5221)\/(-454) + (1 - 7\/2). Let f(a) = -12*a + 111. What is f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 4*f, -4*w - 2 - 2 = 5*f. Suppose -2*z = 4*x + 2, -13 = z - f*x + 5*x. What is the smallest common multiple of z and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(3))*5.\nAnswer: 5*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 45 = 11*q. Suppose q*j - 10*j = 260. Let d = 72 + j. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/(-884)*20\/7*68\/16.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (62\/(-217))\/(2\/(-35)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 - -17. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from vzrzn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from qqqxxq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308903567 to the power of 1\/2, to the nearest integer?\nAnswer: 36179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 2*k + 2. Let a be (-42)\/(-10) + 6\/(-30). Suppose 2*t + 4 = -0, 5*f + a*t - 12 = 0. What is n(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*v = 78 - 21, 24 = 3*l + v. Suppose 3 + 0 = 3*s - b, -3*s - b = -l. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 + 3*f - 1. Suppose 4*k - 5*m = -0*m - 7, -2*k - 5*m + 19 = 0. Let x(w) = 12937*w - 25860*w + 4*w**2 + 12926*w. What is k*i(o) - 3*x(o)?\nAnswer: -2*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**3 - 3*r. Let j(o) = -9*o**3 - 5*o. Determine 5*j(q) - 8*v(q).\nAnswer: 3*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 29998*k - 449747. What is f(15)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898128 is divided by 390.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -166335 (base 8) in base 6?\nAnswer: -1144421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/(2 + (-242)\/122) and 7.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 3*f + 2. Let i(m) = 33 - 22*m**2 + 7*m**2 - 58*m + 10*m. Let l(u) = -33*a(u) + 2*i(u). What is k in l(k) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1\/w)\/w)**(-31))**47\/(((w*w*w*w**(3\/2)*w)\/w**(-6))\/(w**(2\/9)\/w**4)) assuming w is positive.\nAnswer: w**(25951\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.51 + -0.5. Let b = -0.99 - v. Is -0.2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21125 divided by -1625.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 696*c**3 + 145*c**2 - 145*c - 145. Let f(n) = -29*n**3 - 6*n**2 + 6*n + 6. Calculate -145*f(b) - 6*s(b).\nAnswer: 29*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 2, e: 5, o: 3}. What is prob of picking 1 t and 2 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/8, -0.14, 1, -11, -2 in decreasing order.\nAnswer: 1, 0.3, 1\/8, -0.14, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*n - 507 = -292*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*3)\/(33\/(-44)). Suppose l = -l + q. Solve l*r - 30*r - 36 - 10*r**2 + 3*r**2 + 3*r**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*o - 97790, -230*m = -232*m + 3*o + 97794. List the prime factors of m.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 21*j. Let t(o) = o. Determine h(x) + 6*t(x).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + -2*sqrt(1008) - (-2 + -1*sqrt(1008))) + -2*1*(sqrt(1008) + 0) + 0)**2.\nAnswer: 288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/9, -0.07, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4354 divide 1284597347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11531636 (base 8) to base 10\nAnswer: 2536350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*q - 6. Suppose 4*t + q - 41 = 0. Calculate the remainder when t is divided by 4 + 1\/(-3 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n = 4. Suppose -n*t = -6 - 14. Suppose 32 = t*a - 13. Calculate the greatest common factor of 99 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -1\/34, -0.5, 0.2?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-134)\/(-2747)*287)\/(2\/8).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l = 17*n - 15*n, 2*l = l. Let k be (-28)\/3*(-3)\/(-2). Let d = 33 + k. Solve -14 = 5*j + 5*b + 6, 5*j + 4*b + d = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -588, 9206, 39774, 101502, 204776, 359982, 577506, 867734?\n\"Answer: 1731*y**3 + y**2 - 2326*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - x - 2*x + 11, 5*x - 5 = -5*z. Let s be (5 - z) + (-1)\/(-1). Suppose -s*k - 987 = -10*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 67*b + 3311. Determine v(-49).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*f**4 - 3*f**3 - 575*f**2 - 4.\nAnswer: 1848*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpup when four letters picked without replacement from ppupckcccc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-65200)\/(-2445)*45\/1464).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a factor of 59681558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*s - 84, m - 66 = -2*m + 3*s. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3*r**3 + 5*d**3*r - 458*r**3 wrt d?\nAnswer: -6*d**2*r**3 + 15*d**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -911 - -2731\/3. Which is the second biggest value? (a) -3 (b) 0 (c) 5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 103, -3, 2, -17, -5 in decreasing order.\nAnswer: 103, 4, 2, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*h**3 - 12*h**2 + 7*h**2 + 0*h + 6*h**2 - 3*h to the form a*h**3 + j*h + o*h**2 + n and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -204, 0.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(-28)*(v*v*v*v\/(v\/v**(-1))*v*v)**(44\/5))**(-46) assuming v is positive.\nAnswer: v**(-10672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.5 (c) -2 (d) 273.4 (e) -2\/11 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 7432315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -300163 plus 3.25071?\nAnswer: -300159.74929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 405\/11. Let n = 0 + -1. Put v, n, -2\/7 in increasing order.\nAnswer: n, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Suppose w*t - 5*t - 35 = 2*o, 4*o + 10 = 2*t. Which is the third biggest value? (a) t (b) -1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 8) to base 9\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 3 + 8*c - 3*c + 1 + 3*c.\nAnswer: 8*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d + 20 - 14 - 3*d - 6*d**2 + 0*d + 4*d**3 + 4*d**2 in the form p + k*d + b*d**3 + x*d**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11625 - 8265. What is the greatest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67274 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 24 + 85 - 47 - 42 - 36.\nAnswer: -5*n - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 401 = -431. Let h be 5 + ((-912)\/40)\/n. What is the biggest value in -2\/57, h, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1672563430 to the nearest 100000.\nAnswer: -1672600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {g: 4, p: 1, f: 6, v: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.197, -0.7, -2\/17, 2 in descending order.\nAnswer: 5, 2, -2\/17, -0.197, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 3*t**3 + 0*t**3)*(-4*t + 2*t + t) + 3*t**4 + 2*t - 2*t.\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20200331 - -10220?\nAnswer: 20211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 2*o - 5*c, -o + c + 1 = 0. Sort -3, 4, o, -7 in decreasing order.\nAnswer: 4, o, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190883 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 316, 1229, 2732, 4813, 7460, 10661?\n\"Answer: -2*n**3 + 307*n**2 + 6*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*h + 440, -3*h - 397 = -5*s + 113. Are s and 99 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2260.4*-35.789.\nAnswer: 80897.4556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*x**4 - 6*x - 125*x**4 - 13*x)*(-5 - 1 + 4).\nAnswer: 4*x**4 + 38*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276075 - -187731103\/680. Calculate the common denominator of f and -111\/28.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -665 - -668. Solve -3*w - w - 26 = -2*j, 17 = j - g*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5 - 6*b**2 - 45*b + 46*b + (3*b + 0*b - b)*(-2*b + 1 - 1).\nAnswer: -10*b**2 + b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/7 + 48*w\/7 + 108\/7 = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Let t = h - 4. Sort 0.2, t, 0.4 in ascending order.\nAnswer: 0.2, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7734175892.00000026 + 7734175958. Let v = -66 + b. What is v rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16752 - 16756 + 33508 + 21972*q to a*q + g and give a.\nAnswer: 21972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16a1026 + 0?\nAnswer: 16a1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 3*j - 3. Let a be ((-14)\/21)\/(2\/21). Let q(g) = 7*g + 7 + 3*g**2 + 2*g**3 - 3*g**2. What is a*z(y) - 3*q(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w + 3. Calculate the smallest common multiple of (3\/(-6) - 0)*-68 and z(-1).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:31 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 232*b**2 - 9*b - 5. Let i(y) = 115*y**2 - 5*y - 3. Calculate -5*i(h) + 3*z(h).\nAnswer: 121*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 32*f**3 - 3*f**3.\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4 + 31*v - v**4 - 57*v**5 + 47*v**5 wrt v?\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 627365274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034.9 rounded to the nearest ten?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose y - 14 + 50 = r. Let h = 17\/29 - -2213\/232. What is the common denominator of h and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861628072 is divided by 1895.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 698009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7317 at least -1265838\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 2*z + 2. Let n(s) = s**2 + 7*s - 1 + 7 + 1 + 11*s**2. Determine -7*l(t) + 2*n(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = r, 24 + 1 = -5*p. Suppose -5*j = -3*j - 6. Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10202 - 10199. Put 64, m, -7 in descending order.\nAnswer: 64, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*(-43)\/13072*-38.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/27))**23\/(b**26\/((b*b**(2\/3)*b)\/(b*b**(3\/7)))) assuming b is positive.\nAnswer: b**(-4358\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwzxxzzzlzzzxzxz. Give prob of sequence xl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 72 - (-31 + 25 - (3 - (9 + 1)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 323 - 155 = 0. Let n(z) = -z**2 - 15*z + 11. What is n(o)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 174 = 3*u, 3*k + k - 281 = 5*u. Let q = 89 + u. Let c = 35 - q. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 17*o**2 + 22*o. Calculate w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -1.3. Let w = 1.9 + -6.9. Sort -3\/5, m, w in descending order.\nAnswer: m, -3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.2 + 8.6. Are i and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.164 - -0.016. Put -3, 1, b in increasing order.\nAnswer: -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121122010 + 1122211?\nAnswer: -112222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 23 + -6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.2 rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 172380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 13) in base 9?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 151701.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96481763*i**4 - 97935714*i?\nAnswer: -1157781156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263330276 to the nearest integer?\nAnswer: 16227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/4)*c)**(-2\/107))**(1\/3) assuming c is positive.\nAnswer: c**(-3\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*q**5 + 17*q**5 + 8*q**2 + 4*q**2 - 6*q**5 wrt q?\nAnswer: 1500*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.7 and 9?\nAnswer: -312.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72581 or 72021?\nAnswer: 72581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3202 = -5*z, 6*v = -3*z + 4*v + 1916. Is z a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395638.7mm to centimeters.\nAnswer: 39563.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 30*p + 117. What is y(-27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51193 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agxgagxgyymu. What is prob of sequence myy?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*i + 12. Let z(h) = -3*h + 3*h**2 + i*h + 0*h. Calculate the lowest common multiple of z(-2) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 + 1340*q + 34655 = 0.\nAnswer: -239, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27, 182, 601, 1416, 2759, 4762, 7557?\n\"Answer: 22*v**3 + v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1184425 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - x = -4*x + 63, -w = 4*x - 30. Let f = w - 12. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b**2 - 14*b**2 + 6*b**4 + (-2*b**2 + 4 - 4)*(3*b**2 + 0*b**2 - b**2) in the form p*b**2 + l*b**3 + m*b**4 + w*b + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846177 to the power of 1\/2, to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 12, -19, 8 in ascending order.\nAnswer: -19, -2, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 10*c + 3. Let f be j(-10). Let t be 0\/(-1 - f)*-1. Sort 1, t, -2 in decreasing order.\nAnswer: 1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/12378079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q + 46. Let h be y(4). Do h and 29\/12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*t - 1059, 3*t + 0*t + 1069 = 4*p. List the prime factors of p.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8464669 and 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**3 - 5*k**2 + 10*k - 4. Let w(s) = s**3 - 2*s**2 + 4*s + 1. Let c(z) = -t(z) + 5*w(z). What is c(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cisiccciccssics. Give prob of sequence iis.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:46 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 14*h**2 + 12*h - 11. Let v be f(-13). Suppose 4*l - 41 - 203 = -v*p, -107 = -p + 3*l. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 111.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 8 + 8 - b - b + 4*b + (-5*b + 5*b - 2*b)*(2 + 2 - 2))*((-3 - 1 + 2)*(1 + 2 - 2) + 1 - 6 + 3)*(-40 - 6 + 14) + (-2*b - 4*b + 4*b)*(-5 - 1 + 4).\nAnswer: -636*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*u - 13 = -2*v, -2*v + 11 = 5*u. Suppose -2*c + 9 - 5 = 0. Calculate the highest common divisor of c and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.027 (c) 55 (d) -1\/4 (e) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*(-213)\/355?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188546 is divided by 361.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/42 + (-174)\/(-7). Suppose 328 = u*w - 172. What is the remainder when 111 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29ba09 (base 15) to base 4\nAnswer: 13223220333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29223 is divided by 165?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -80448 divided by 4?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 - 2*l**2 - 2*l - 1. Let o be w(-2). Let z be o\/4 + (-17)\/(-68). Solve z*q - 15 = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 15. Suppose h*p + 2*p = 60. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 16 = 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122202200101 (base 3) in base 6?\nAnswer: -11254531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/235785875?\nAnswer: -2\/235785875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqqqqqzqqqkqqqkqk. What is prob of sequence qq?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -43\/2, -40, -3, -0.3, 43?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1920, -2697, -3474?\nAnswer: -4251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -589 divided by -5?\nAnswer: 589\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 1343567*r + r**2 - 4*r**3 - 1343567*r + r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p**(-3)\/p*p)\/p)\/p)\/p)**(24\/13))**29 assuming p is positive.\nAnswer: p**(-3480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 - 349616*b - 15278918432 = 0. Calculate b.\nAnswer: -87404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12044*b + 3*q = -12040*b + 25, -b - 3*q - 10 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**6\/45 + b**5\/10 - 4*b**3\/9 + 14*b. Determine g, given that v(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/(4\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 97404402 + 799177470 = 0. Let f be (25\/3)\/((-3)\/y). Suppose -40942100 = -7*o - f. Round o to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1097*x**2. Let v(o) = -9*o - 104. Let t(j) = -21*j - 234. Let r(y) = 4*t(y) - 9*v(y). Determine q(r(a)).\nAnswer: 9873*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 + 56*j**4 - 212*j**3 + 208*j**2.\nAnswer: -j**2*(j - 52)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (1 - (9 - -22 - 14)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1623*g*y**3 - 212290*g*y**2 + 75*q*v*y**3 - 2*q*v + q*y**3 + q*y + 2*v*y**3 - 4*v*y**2 wrt y.\nAnswer: -9738*g + 450*q*v + 6*q + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3462 divided by -20.\nAnswer: -1731\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r = 96 - 96 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*u + 33*u - 383 = 539 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - j + (6*j - 4*j - 3*j)*(-3 + 1 + 3) + (3*j - 3*j - j)*(0 - 3 + 5) to the form l*j + c and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174194*0.2.\nAnswer: -34838.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675695*g - 3*g**2 + 4*g**2 - 589040*g.\nAnswer: g**2 - 1264735*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 145909 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1269932950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 56, 83, 108, 131, 152?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115, -139, -193, -277, -391?\n\"Answer: -15*h**2 + 21*h - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -5511307233061?\nAnswer: -5511307233061.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73, 135, 187, 223, 237, 223, 175?\n\"Answer: -d**3 + d**2 + 66*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 - 5*a**2 - 244.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10358522 - 4.\nAnswer: -10358526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10495744 and 5376?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 47, 80?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 150\/7, 2\/3, 2\/37, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 158\/(-14) - 12\/(-42). Let o = k - -11. Let x = 0.04 + 0. Is x greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 + (-31 - -65) + 5 + 0\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 368922401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/18 + 2\/(-9). Let y be 12\/(-8)*178\/j. Let b = -36 + y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 + 1) - ((9 - -1) + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4285, 4287, 4289?\nAnswer: 4291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10144917?\nAnswer: 3, 19, 41, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1006, 2021, 3068, 4165, 5330, 6581?\n\"Answer: 3*b**3 - 2*b**2 + 1000*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 5*z**4\/12 + z**2\/2 + 22*z - 3. Let x(q) be the first derivative of o(q). Is 7 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(832) + 1)**2 + sqrt(832))*3 + sqrt(325) + 4 + sqrt(325) + -5 + -5.\nAnswer: 82*sqrt(13) + 2502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6931 plus 634299?\nAnswer: 641230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 779352 divided by -4639.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y - 270 + 220 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:19 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180 and -4.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -273421.\nAnswer: -273422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/((sqrt(70) + sqrt(70) + sqrt(70)*-1 + sqrt(70) + sqrt(70))\/sqrt(7)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2940 and 61\/149432.\nAnswer: 109832520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.48 (c) 0.107 (d) -4 (e) -0.6 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(-3 + 4 - 2) + (-1 - 1 + 3 + (2 + 3 - 3)*(2 - 5 + 1) + 2 - 2 + 1)*(2 + 4 - 4))*(-1118170*s**4 - s**5 + 1118170*s**4 - 295*s**3).\nAnswer: 3*s**5 + 885*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5829, -22, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 3*y + 65. Let g = y + -9. Suppose 25 = 3*c + g*n, 4*c - 3*n - 3 = -c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/15 and -4.19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**2 - 286*a + 69. Let y be u(-32). Solve 0 = 2*g - 7*g - y*q - 10, g - 2*q = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m - 96*m + 311*m - 102*m - 102*m + 80*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6135401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*k + 45 = d, -5*d + 3*k + 83 = 0. What is the highest common divisor of d and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxaaaajlaxxoaj. What is prob of picking 2 j and 1 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1002 - 1636. Let l = -639 - r. What is the nearest to 2\/27 in l, -0.2, -0.5, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Let m(a) = a + 47185164. What is m(f(i))?\nAnswer: 2*i + 47185164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -304839 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(6\/126 + 8\/28). Suppose -5*z + x = 4*x + 46, -5*z - 5*x - 40 = u. Suppose 3*t + 0*t + 6 = 0. Sort z, 3, t in descending order.\nAnswer: 3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4294 and 3456438124?\nAnswer: 4294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 495, 1, 4, 5, -244 in descending order.\nAnswer: 495, 5, 4, 1, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 323086362 to the nearest 100000.\nAnswer: 323100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 14.5. Let p = -1.6 + t. Put -1, p, 3\/5 in increasing order.\nAnswer: -1, p, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**3 - 6*k**2 + 5*k. Let c(w) = -5*w**3 + 7*w**2 - 6*w. Give 6*c(o) + 7*p(o).\nAnswer: -2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*b - 34348 - 17619, -5*b - 2*i + 51964 = 0. List the prime factors of b.\nAnswer: 2, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 6*o - 0*o - 28, -2*o + 5*q + 35 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57156 and 44?\nAnswer: 57156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3407912 to one dp.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, q: 2, t: 2, e: 3}. What is prob of picking 3 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16874 (base 15) to base 7.\nAnswer: -422125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(5 + 2 + 16\/(-4)). What is the derivative of -8 + 62*o**z - 21 - 48 - 51 wrt o?\nAnswer: 186*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/4 - 1135*b**2\/4 - 322623*b\/4 - 321489\/4 = 0.\nAnswer: -567, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3116519 is divided by 94439?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j - 108 + 199 - 76)*(-2*j**3 - 2*j**3 + 2*j**3).\nAnswer: 28*j**4 - 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6947972?\nAnswer: 2, 1736993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**6\/21 + 6*q**5\/35 - 8*q**3\/21 - 13. Factor z(h).\nAnswer: 2*h**2*(h - 1)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 7*m - 34. Let j be d(-7). Suppose j*p - 4620 = 3*p. What are the prime factors of p?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 2\/17 (c) 0.098\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + 45\/(-108). What is the third smallest value in 3, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 + 10*x**2 - 6*x - 2. What is g(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0148476 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-10)\/(1190\/(-17)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 7*g - 2*g + (2*g - 4*g - 2*g)*(1 + 3 - 3) - 4*g - 5*g - g + 0*g to the form u*g + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**3\/3 + 7*r**2 - 33*r + 121. Find t such that v(t) = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 + 9*i - 45. Let s be n(-9). Let f = s + -274. Sort -2, -6, 4, f in descending order.\nAnswer: f, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-1))\/(-1 - 0). Suppose 5*b + j*o - 7*o = 87, -b + 4*o = -27. Suppose 2*l - 9 - b = 0. Solve 4 = 4*w - l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0575 and -19.\nAnswer: 1.0925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v**5 - 137115*v**4 + 11167730*v**3 + 33716980*v**2 + 20919144*v - 1492960 = 0.\nAnswer: -2, -1, 2\/31, 86, 4340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93494099\/3 or 31164699?\nAnswer: 93494099\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 3448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7184 - -34363. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12733 and -9143.407693.\nAnswer: 3589.592307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (-297)\/(-22)*(-2 + 8\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54553062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -35. Let l be (18\/6)\/((-9)\/y). Solve -4*p = -3*p - 5*k + l, 0 = -p + 3*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 980*p - 19. Is t(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)*q*q**0)**(-14\/11) assuming q is positive.\nAnswer: q**(-98\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 9508603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159, -29, 101, 231, 361?\n\"Answer: 130*x - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 1 w when three letters picked without replacement from {w: 2, j: 3, l: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3*k - 6, -90*y + 95*y = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201)\/35 + 5 - (-106)\/(-265).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -171, -172, -193, -240, -319, -436, -597?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z. Let o(w) = -5*w**2 + w**2 - 2 - w**2 + 11*w**2 - 3*w**2. Calculate o(x(d)).\nAnswer: 27*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4, -5*n = k - 17 - 10. Let d(a) = 360*a**2 + 22*a + 6. Let y be d(k). Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26015327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/364 + -2 + (-16)\/(-7). Let q(w) = -3*w - 6. Let s(c) = -10*c - 19. Let k(m) = 7*q(m) - 2*s(m). Let g be k(0). Sort g, z, 1.\nAnswer: g, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + x + 1. Let n(r) = -r**3 - 3*r**2 + r + 3. Give 6*a(z) - 2*n(z).\nAnswer: 2*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/6)\/(20\/(-12) + 2). What is the second derivative of -4*c**4 + 21*c**4 + 12*c - 5 + z wrt c?\nAnswer: 204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 - a - a**3 - 4*a**3 - 4*a**3.\nAnswer: -9*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -255333096, -255333097, -255333096, -255333093, -255333088, -255333081?\n\"Answer: t**2 - 4*t - 255333093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 101110100110100000010111?\nAnswer: 101110100110100000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21202 (base 4) to base 11\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2275 and -0.17119?\nAnswer: -389.45725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2 + 1) + (-66)\/(-77).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {b: 13, a: 5}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 196\/40)\/((-1)\/4). What is the fourth biggest value in -3, p, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12087 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6033, 0.7, -1\/105, 0.3 in increasing order.\nAnswer: -1\/105, 0.3, 0.7, 6033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v + 5*v + 3*v + (0 - 1 - 1)*(0*v - 2*v + 4*v) to p*v + w and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1802599, 1802592, 1802577, 1802554, 1802523, 1802484?\n\"Answer: -4*d**2 + 5*d + 1802598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - -39. Let a(f) = 89*f**2 - 186*f**2 + x*f**2. Let k(n) = -3*n. Calculate k(a(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 2. Let c(t) = t - 10. Let k be c(17). Let o = k + -7. Calculate v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -0. Let o be (2*(2 - 0))\/m. Let r(z) = 4*z + 1 + 8*z - 2*z**2 - 9*z - z - 3*z. What is r(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3211 (b) 1 (c) -2\/3 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 126*a + 13. Let s be y(-42). Solve 74 = -s*f + 113 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*w - 18, -5*w = 4*k - 0 - 51. Suppose 4*h = -2*h + 1938. What is the third derivative of h*y**2 + 6*y**6 - 308*y**2 + k*y**6 wrt y?\nAnswer: 3000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.8306968 rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 439408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a18 (base 14) in base 2?\nAnswer: 101110101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/6*o**3 - 21 + 24*o - o**2. Let q(u) be the first derivative of a(u). Determine q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {r: 4, a: 3, y: 1, t: 7, h: 4}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(-1\/3))**(-10)*(k\/(k\/((k\/((k\/(k\/(k*k*k**(-1))))\/k))\/k))*k**(1\/2)*k)\/((k*k**7*k*k)\/k*k*k**(-7)*k) assuming k is positive.\nAnswer: k**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 177*r**3 - 4*r**2 - 3*r - 1. Let g be a(-1). Let t = g + 262. Calculate the remainder when t is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 + 3*r - 1. Let l be ((-6)\/(-4))\/(9\/(-24)). Let a be v(l). Suppose -w = -a*k + 10, -5*k + 5*w = -0*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10625725*q + 5312859*q + 5312865*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + 0 + sqrt(1539) - sqrt(1539))*2 - -2*4*(sqrt(1539) - (-1 + 1*sqrt(1539))**2).\nAnswer: -12338 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992b0 (base 14) in base 8?\nAnswer: 3357012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97109 and 5776.\nAnswer: 1553744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 6 (c) -0.07 (d) 3 (e) 25 (f) -1 (g) -505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3304*y = -1166*y - 33135 - 7487 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2353\/(-39) - (0 + (-1)\/3). Is 16 a factor of m\/42*(-30 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4409992 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 3*w + w)*(4*w**2 - 3*w**2 - 3*w**2) + 12*w**3 - 99 + 99)*(w - 2*w - 3*w - 7*w).\nAnswer: -88*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -240, -548, -982?\n\"Answer: -63*k**2 + 7*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 45*m**2 + 111*m - 1569. Calculate z(-48).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -153, -306, -461, -618, -777, -938?\n\"Answer: -m**2 - 150*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/1762? (a) 5 (b) -1\/7 (c) -0.1 (d) -3 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 41*s = -16. Let u be (-187)\/(-153) - (s - 1). Let v be (-1)\/(-1) + (-2)\/(-8). Which is the second biggest value? (a) u (b) v (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + 3*s + 12. Calculate b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*x + 3 = -4, 0 = 5*v + x - 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 + -13)) + (87 + -301 - -133).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p + 2 = -56*p. Let t be p\/(0 + 5\/(-155)). Solve -5*a + t = 4*x, -3*x + 2*x + 13 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*q - 5 - 127 - 38 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3932371 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66086049 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 30096.26 days?\nAnswer: 43338614.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330 + -657. What are the prime factors of (-1)\/((-2)\/(-8)) - (j + 37)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324.14m in millimeters?\nAnswer: 4324140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 5*q**4 + 3*q**4 + (-5*q**2 + 4*q**2 + 0*q**2)*(-q**2 - q**2 + 3*q**2) + 0*q**4 + 2*q**4 + 3*q**4.\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91) - sqrt(91)*-1))*3 - sqrt(91))\/sqrt(7) + 3*(sqrt(52) + sqrt(13) + -2 + sqrt(13)))**2*4.\nAnswer: -384*sqrt(13) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 22187*z + 155326. What is v(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 275 = d. Let g = 4 - 9. Let u = 0 - g. What is the highest common divisor of u and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16*g**3 + 7*g**2 + 15*g - 14. What is the tens digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 12:32 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 593064235*b**4 + 911969726*b**2 wrt b.\nAnswer: 14233541640*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:11 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 15*c**2 - 42*c + 16. Give u(12).\nAnswer: -1784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60318 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83524 and 12?\nAnswer: 250572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 10*h**2 + 3. Let m be c(-10). Let b be (2\/3)\/(m\/9). Let q(t) = -2*t**2 + 5*t - 6 + 3*t**b + 0. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19730112 and 576.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8203 millennia to months.\nAnswer: 21843.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 90.29574643\nAnswer: -90.19574643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -87314200 rounded to the nearest one hundred thousand?\nAnswer: -87300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2026, -2313, -2600, -2887, -3174, -3461?\nAnswer: -3748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -113\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-5*d + 3*d + 4*d)*(-4 - 2 + 2).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 53169.869 to the nearest 1000.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1225424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/(-32) - (-8)\/32. Let t(c) = -c**3 + c**2 + 4*c - 1. Let n be t(s). Solve 4*q - 2*w + n + 9 = 0, 0 = -5*q + 4*w - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4 - d + 0*d + 10*d + 4*d. What are the prime factors of x(3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**(2\/73)\/(j*j**(-5)\/j*j*(j*j**(-2\/11))\/j)*((j*j*j\/(j\/(j\/j**(-2))))**(-45))**(4\/3) assuming j is positive.\nAnswer: j**(-237553\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 + (-2 - -2). Suppose 5*o = j - 22, 5*j - 2*o - o - 22 = b. Calculate the remainder when (j\/(-6))\/(1\/(-57)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 4 + 1 + 1.\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 1\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -81?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = 30. Solve 0 = 2*h + v*h, 5*n + 10 = 4*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -94, -22, 142, 440, 914, 1606?\n\"Answer: 7*u**3 + 4*u**2 + 11*u - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1862*g**3 + 3465*g**3 - 1616*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 0*k**4 - k**4 + (-4*k**3 + 146*k + 120*k**2 - 119*k**2 + 3*k**3)*(2*k - 5*k - 3*k).\nAnswer: 7*k**4 - 6*k**3 - 876*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9233512.\nAnswer: 2, 271, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2589 - 2587. Solve 3*d - 25 = c*k, -3*k - 3*d = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6760999 is divided by 1023?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 + 9.9. Let w = 8.18 - a. What is w rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcppzpkzzkpsczpczkpp. Give prob of sequence kp.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64463*u + 69052.\nAnswer: -64463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36\/1253 - -110163\/40096. What is the common denominator of 57\/16 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 2*a + 6*a**3 + 7*a**3 - 2 - 12*a**3 + 2*a**3 - 3*a**3 + 3*a**3 + (-a - 4*a + 4*a)*(0 + 0 - a**2) + 0*a**3 - 8*a**3 - a**3.\nAnswer: -5*a**3 - a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.44594 from -0.3.\nAnswer: -1.74594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000061236 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-231 + 7)*2\/(-4). Suppose 0*d = 8*d - v. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u - 330 = -6*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(2 + -1) + 20. Let c = -59\/3 + o. Determine r so that -c*r + 1\/3*r**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from vkvvkkkvkvkvvd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let w(b) = 44*b + 79. Let p be w(-12). Let l = 3153\/7 + p. Put l, 1, x in ascending order.\nAnswer: 1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/126 - 18\/(-81). Let v = 3 - 9. Which is the third biggest value? (a) 0.1 (b) v (c) -4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, n: 9}. Give prob of picking 2 n and 1 o.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -24*f**2 + 2. Let n(k) = -121*k**2 + 11. What is -33*i(c) + 6*n(c)?\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let k = -957.03 - -953. Let s = k + 0.03. Sort t, -3, s.\nAnswer: s, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315 and 27?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(1\/(4\/6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22416 + -8404. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52811504 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -41*b - 620. Let x(w) = 7*w - 13. Give x(v(a)).\nAnswer: -287*a - 4353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 20.52?\nAnswer: 21.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7534585 divided by 5?\nAnswer: -1506917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a**5 + 12*a**4 - 84*a**3 - 114*a**2 + 27*a + 54 = 0 for a.\nAnswer: -3, -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*b - 57 = 0, 14*f = -1897*b + 1896*b + 19 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55552701 = -240*j + 323051379. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 115 = 4*u, -3*f + 4*u - u - 150 = 0. Let h be ((-4)\/3)\/((-15)\/f). Which is the second smallest value? (a) h (b) -7 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 12*k + 2850. Suppose 0*u = -5*u + k. Calculate the least common multiple of ((-1)\/(-3))\/((-28)\/(-840)) and u.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-45)*((-115)\/(-25) + -4)*(-4)\/5?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-29 + 245)*450\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2047 - 2045. Let d(h) be the first derivative of 0*h + 11 - b*h**2 + 10\/3*h**3. Solve d(y) = 0 for y.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -835, -1996, -3619, -5704?\nAnswer: -8251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12 = -2*r, -37*k = -34*k - r + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 18885.4976 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 4f?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*h - 4 + 308*h + 968*h - 17*h + 2 to the form g + m*h and give m.\nAnswer: 1163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q + 2. Let t(c) = -c**3 - 3*c**2 + 6*c - 14. Let p be t(-5). Let u(b) = 19*b - 4. Determine p*u(o) + 13*a(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/4)*u)**19\/((u\/u**0)\/(u**(-1)\/u)))\/((u*u\/u**(-2))**(-15\/8))**24 assuming u is positive.\nAnswer: u**(879\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27954, -31951, -35938, -39909, -43858, -47779, -51666?\nAnswer: -55513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 8. Calculate the remainder when 44 + (g\/(-1))\/(-4) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 85*a**2\/2 - 223*a + 210. Is n(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*q = -0*q + 18, 3*q - 24 = -4*v. Let t be -2*(10\/(-4) - -1). Suppose -t*k = -6*k. Solve u - v*u = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 5429\/(-356) + 10\/8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-45)*-3*38\/(-38).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.1. Let k = n + -0.4. Let y = k - -0.297. What is y rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + z**2 + z**3 + (-z - 2*z**2 + z)*(z + 3*z - 3*z) - z**3 - 3*z**3 + 3*z**3 as p + y*z**3 + d*z**2 + m*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-4 + 7)) + -3 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*i + 862, -2225 = -5*i - 5*f - 0*f. Is 49 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3 + 7. Let r = 1.22 - 0.12. Let t = 1.2 - r. Which is the closest to t? (a) 0 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/4)*r)\/(((r*r**(1\/28))\/r)\/r)*(r*r\/((r*r**(2\/3)*r)\/r))\/r*r*r**(3\/2)*r assuming r is positive.\nAnswer: r**(233\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = t. Let v be (-164)\/(-52) + t\/26. Solve 2*u - 6 = -u - 4*y, 3 = 3*u + v*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (6 + -10 - 1) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -60*v**5 + 8*v - 385. Differentiate f(i) with respect to i.\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9309444 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 2 + 37 + (86 - (-2 + 6))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - (59 - (59 + -39))) + (2 + -1 - 112).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 17, -2.341, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -35. Let o(u) = 4*u**3 + 7*u**2 + 4*u + 111. Let t(w) = w**3 + 2*w**2 + w + 28. Let r(v) = l*t(v) + 3*o(v). Give r(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3540 and -161\/4688730.\nAnswer: 9377460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2239*f = -2365*f - 2394 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 34. Let u be l(19). List the prime factors of 1*2*62*1\/u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 73*p - 245. Let a be y(-20). Suppose 14 = g - 2. Solve -g*b = -a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*x - 222 = -2*x, -5*k - x = -370. Let t(a) = -151*a - 1 + 75*a + k*a. What is t(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/(-135) + 3410\/3069.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -47344 divided by 1\nAnswer: -47344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + 5 - 3 - -234 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/(16\/(-218952)). Is (x\/4)\/((-60)\/(-80)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 610 - l - 610. Let v(i) = 24*i**2. Calculate v(a(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9870 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 42 = 2*s + 25, -4*s - 8 = 0. Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8065 - 5915.784\nAnswer: -13980.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2740*z + 135 - 1569 - 181 with respect to z.\nAnswer: -2740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/34 - (-1)\/((-2)\/(-13)). Let t(w) = w + 4. Let z be t(5). Let s = 15 - z. Calculate the highest common factor of s and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4 - 2 = 0. Let k be (o*3)\/(8\/32). Let z = k + 16. Put 3\/2, 4\/3, z in decreasing order.\nAnswer: z, 3\/2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -720, -2433, -5766, -11259, -19452, -30885, -46098?\nAnswer: -65631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2198 + 215.5802. Let u = d - 216. Which is the closest to 0? (a) -3 (b) u (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -29)*752\/(-24). Suppose -3241 = 37*y - 3981. What is the greatest common factor of b and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(2 + 2). Let q = x + 4. Suppose -5*d - 10 = 3*o, -o = -q*o - 3*d - 6. Solve o*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o**3 - 4*o**3 + o**3. Let i(j) = -3*j**3. Determine -2*g(c) + 5*i(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 274 = 206. Let d(a) be the first derivative of 0*a**3 + 0*a**x + 3*a**2 - 7 + 11\/5*a**5 + 0*a. Find the second derivative of d(t) wrt t.\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11226*s**4\/5 + 37432*s**3\/5 + 104896*s**2\/15 + 10016*s\/5 + 32\/15 = 0. Calculate s.\nAnswer: -2, -2\/3, -2\/1871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172884.12ns to minutes.\nAnswer: 0.000002881402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 12*n + 18. Let k be d(12). Let u = k - 13. Suppose 0 = -u*b + 235 + 30. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - -97 - (-14 + 24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 7, o: 2, c: 10}. What is prob of picking 1 g, 1 c, 1 t, and 1 o?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -13 (b) -301\/55 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g - 3. Let u be k(-4). Let n be u\/10*8\/(-3). Suppose -27 = -n*o + 17. What is the remainder when 21 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 3, 4125?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jjjjgmjjgjjmmjlmjjj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 306*q**2 + 17*q + 32. List the prime factors of s(-2).\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.4, 10638?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/20)*v**34\/v)\/(v**(-1\/2))**(3\/19) assuming v is positive.\nAnswer: v**(12627\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -121200200 (base 3) in base 14?\nAnswer: -4612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 7. Let b be a(-3). Suppose 10 = 5*u - 10. Calculate the highest common factor of u and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 473 by -11.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13889 is divided by 107?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 24*z**2. Let p(b) = -b**2 - 2*b - 1. Let n(y) = 5*y**2 - 6*y - 3. Let l(v) = n(v) - 3*p(v). Give t(l(m)).\nAnswer: 1536*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 836 or 838?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 323743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 5*d - 3. Let q be p(3). Suppose -6*k - 3*g = -k - 31, -q*k + g = -27. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*f + 188*f = 279*f + 1302 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 9558169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 + 0*x**2 - 2*x**2 + (58*x - 288 - 298 + 588)*(0*x + 2*x + 0*x))*(-31*x + 22*x - 100*x) to s*x**2 + q + c*x**3 + h*x and give c.\nAnswer: -12862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 50*v - 585. What is g(-60)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 60*i**3 - i**2 - 150*i + 851. What is the units digit of k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262296 is divided by 43699.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7195 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -86 - 199) + 124.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 10\/(-7)) + (-13286)\/(-25480). What is the third smallest value in j, 2, -4\/3, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -15*t + 42. Let p be (-25)\/((-75)\/t)*(1 + -2). Factor 1\/3*j**p - 16\/3*j + 64\/3.\nAnswer: (j - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.08729002460297.\nAnswer: -0.41270997539703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -3*w + 467. Suppose 0 = -3*j + 6*j - w. Suppose -3*l = -j - 29. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let b = d - 4. Suppose 5*z - 30 - 100 = b. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 708*a - 1556115*a**2 - 681*a**3 + 117*a + a**5 - 3*a**5 + 1556113*a**2 wrt a.\nAnswer: -120*a**2 - 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-198)\/(-60)))\/((-18)\/216*(-15)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (600\/(-550)*11)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*v - 4*v - 2386 + 3534 = 0 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 28*p + w + 430, 5*p - 4*w - 712 = 0. Calculate the lowest common multiple of p and 30.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:27 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 0, 18 = 3*n - n - 5*a. What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.54003475 + -15.54. Round g to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n. Let y(b) = -b. Let i(w) = 4*l(w) - 56*y(w). Let m(j) = 2*j**2. Give i(m(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221056 and 51191734.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/40 and -17\/564920.\nAnswer: 564920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 2 - -8) + 1 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351606088 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171444*f**3*s**3 - 13*f**2*s - 4*f*s**3 + 3*f*s**2 - 4958*f*s - s**2 - s wrt f.\nAnswer: 1028664*f*s**3 - 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.5. Let r = 15367 + -46103\/3. What is the nearest to 2 in r, g, 3\/10, 1\/12?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12 = -4*z, -2 = -5*z - 2*q - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401770?\nAnswer: 2, 3, 5, 7, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 37*q**2 - 64*q + 16. Give g(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3942336)\/30)\/(-8) - 6\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.94759 - -0.05241. Put -70, z, 0, 2\/5, 4 in decreasing order.\nAnswer: z, 4, 2\/5, 0, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286572 to the power of 1\/2, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -q - 3*k, -4*k - 5 = 7. Determine y so that 9*y - 2*y**2 + 9 + 8*y - y**2 - q*y = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*j + 5, 0 = 3*u - 2948217*j + 2948218*j - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Suppose -3*i - j*i + 5 = 0. Let y be (4 - 3)*5\/i. Solve 0 = v - 3, -3*v = -y*q + 3 - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40951609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596513803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*h - 10*g + 5*g, -2*h - 4*g = -98. Calculate the greatest common factor of h and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781601 is divided by 1292.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-5))\/((-6)\/(-15)). Suppose c = -2*r - r + 3, -2*c - 4*r = -8. Calculate the lowest common multiple of 4\/x + 10\/1 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 + 175. Solve j - 19 = 4*h, 4*h - 3*h - 4*j = -w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 23. Let n(u) = -183*u**2 - 2*u - 1600. What is j(n(t))?\nAnswer: 183*t**2 + 2*t + 1623","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7815049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 43846.\nAnswer: 43846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6679611206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 times -232?\nAnswer: -672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7312 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*g - 514 = 149 - 49. Put 2, -3, g, 5, 13 in ascending order.\nAnswer: -3, g, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 10266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 53380, -4, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3312, -3317, -3320, -3321?\n\"Answer: r**2 - 8*r - 3305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 not equal to 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4353550, 1\/9 in decreasing order.\nAnswer: 4353550, 1\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586134, -586133, -586132, -586131, -586130?\nAnswer: -586129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 6242735?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -8, -35, -96, -203, -368?\n\"Answer: -2*y**3 + y**2 + 6*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*w - 40, -2*y - 3*y + 4*w - 5 = 0. Suppose 5*d - 6 = 4, -5*u + 5*d + 80 = 0. Let t = -16 + u. Solve -y*m - t*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-6)*(-33)\/(-6))\/(4\/(-8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 8, -4609 = j - 4*g - 4595 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.777341 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffh. Give prob of picking 3 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r*r**(-4\/13)*r)\/((r*r**(-4)*r)\/(r*r\/r**8*r)) assuming r is positive.\nAnswer: r**(35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*u - 86 + 103, 3*y - 21 = -3*u. Suppose -4*j + 60 = -64. What is the remainder when j is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(2736) + 0 + sqrt(2736))*-4)**2 - ((((sqrt(2736) - (sqrt(2736) + 0 - sqrt(2736))*-5) + sqrt(2736))**2 - sqrt(2736)) + 4)) + 0.\nAnswer: 3084*sqrt(19) + 164412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*14\/(-105))\/(-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2 - 7 - 1 + p**2 + 7*p. What is the units digit of a(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 84 = 5*o, 1394*o + 27 = -21*a + 1391*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 198, 6, -284, -678, -1182, -1802?\nAnswer: -2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*f - 171*f + 417*f + 34167 + 11499 = 0 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, y: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (62 - (-13 + 8)). Calculate the greatest common divisor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -22*g**2 + 0*g**4 - 1\/336*g**8 + 0*g**5 + 0*g**3 - 1\/105*g**7 + 0*g**6 + 0 + 0*g. Factor l(h).\nAnswer: -h**4*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 559398, 1118783, 1678168, 2237553, 2796938?\n\"Answer: 559385*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b + b**5 + 7*b + 8*b - 2*b**5 wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*m - 1405 = 1031 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 16. Let l(p) be the first derivative of -2*p**2 + p + 5*p**j + 3*p - 1. Differentiate l(b) with respect to b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 13. Suppose -z + 2*r + 9 = -8, 22 = 2*z + 2*r. What are the prime factors of z\/2 - (-3)\/o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014531021 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3699.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -998266, 8, -10 in ascending order.\nAnswer: -998266, -10, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, q: 3, k: 2, z: 2}. Give prob of sequence kzk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46112 divided by -131\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**7\/5040 + h**6\/720 - h**5\/60 + h**2. Let c(s) be the third derivative of r(s). Does 3 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10296 and 1248.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose -2*o = q + q + 10, -3*q - u*o - 12 = 0. Suppose k - 3*k = -8. Sort q, k, 5 in increasing order.\nAnswer: q, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 + -25 - 35) + -65?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -605252 or -605255?\nAnswer: -605252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*l = -l - 14, 0 = 2*l - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133196, -133241, -133288, -133337?\nAnswer: -133388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose 0 = -l*c + p + p + 86, -5*c + p = -199. Let k = c + 16. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 6*t - 39. Solve -2*h + 1 - t = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.03 - 12. Let p = -1.2 - -0.7. Let g = 4 - 2. Which is the second biggest value? (a) g (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -659292518 at most -659292518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 8*d - 5. Let h be x(-7). Let q be 3\/(-2 + 5) - -2. Suppose -2*r = -q*c, 3*c + 4*r = -c. Solve -4*b + h*k - 22 = c, -4*b - 2*k = 2 - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:03 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6*a - 259 = -a, 2*a = 2. List the prime factors of (-16)\/d - (-251)\/11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 2*j**2 - 3*j + 2. Let x(w) = 2*w**3 - w**2 + 2*w - 2. Let l(h) = -3*v(h) - 4*x(h). Calculate l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186408 * 0.3\nAnswer: -55922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 25*n - 1. Let r(h) = 331892*h - 13101. Calculate -26202*d(v) + 2*r(v).\nAnswer: 8734*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 49*h**3 + 35*h**3 - h**2.\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*h, o - 30 = 11*h - 7*h. What is the greatest common divisor of o and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65\/11 - 141\/22. Which is smaller: k or -1\/99?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m - 5. Let j be b(-5). Let y be (8\/5)\/(14\/j). Solve 3*t - 12 = -c, 3*t - y*t + 4 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 205*w - 3.\nAnswer: -205*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from appavqvppvpbag.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 406 = 100. Suppose -b*l + 350 = -10*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0 - 1\/5*l**2 + 3*l - 1\/60*l**4 + 1\/10*l**3. Factor c(s).\nAnswer: -(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.5 (c) 26 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/4)\/(6\/8). Let h = 2.02 - 2. Which is the closest to -2\/7? (a) h (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11378 and 8?\nAnswer: 45512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13296*j = 12698*j - 1794 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/9)*d\/(d**(-18)\/d)*(d**(2\/9)\/d*d)\/((d**(-32)\/d)\/d) assuming d is positive.\nAnswer: d**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + a - 1. Let s(c) = 4*c**2 - 5*c - 2. Let h(q) = s(q) - 3*z(q). Let i be h(8). Solve 1 = m - i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + 22\/6. Let b be (-2)\/3 - 281998\/h. Round b to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.0778444448911 - -0.5.\nAnswer: 2.5778444448911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8226099 - 3893650.2.\nAnswer: -3893651.0226099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - r + 12, 3*w + 28 = -w - 3*r. Let y be ((-7)\/(28\/8))\/(-2). Suppose 0 = -4*a + 41 - y. Sort 2, w, a in increasing order.\nAnswer: w, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 2 e when four letters picked without replacement from zeeeeeqzzeqj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-26)\/(-7)*(-56)\/(-8))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4278 - 4439. What is the second smallest value in -2\/19, -1\/9, m, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23570, 47146, 70722, 94298, 117874?\n\"Answer: 23576*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2*4 + 32\/(-8)). Let o be 315\/(-9)*h\/14. Solve -x - 4*x - o = 2*t, 2*t + 10 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(44\/11) - -1. Solve -q + 13 = -r*x, 5*x - 15 = 10*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4 - 16. Let j = 0.006 - -2.294. Let k = -0.3 + j. What is the closest to k in -3, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 4*b**2 - b**2)*(4 - 6 + 6)*((-5 + 0 - 6)*(7 + 9 + 7) + 1 + 1 - 3) in the form x*b + s*b**2 + o and give s.\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:44 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, -22, 8, -7 in decreasing order.\nAnswer: 30, 8, 1, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 279*t - 10881. Give q(232).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-8)*h)**(-2\/31)*((h*h**(-5\/3)\/h)\/h)\/h**13 assuming h is positive.\nAnswer: h**(-1421\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 681891003 from 0.057841.\nAnswer: -681891002.942159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(2 + (-15)\/10). Is -3 + (-4 - -52 - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*n - 0*n - 353, -4*i + 121 = n. Let v be ((-6)\/8)\/(568\/288 + -2). What is the greatest common factor of n and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 72 = -3*u, -104 = -55*f + 51*f + 5*u. Solve 3*k - x = f, -10 = -k - x + 6*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -732, -676, -622, -570?\n\"Answer: -x**2 + 59*x - 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 4*w + 24, -5*w - 35 = -0*s - 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1152 + 30 = 5*m, -2*m = 2*c - 474. Find the first derivative of -m + 17*f - 54*f - 12*f - 29*f + 12*f wrt f.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 + 3*r + 8 - r**2 + 3*r. Let w be f(6). Suppose 5*q - w = -0*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 6. Let c(a) = -3*a + 4. Let w(m) = -3*c(m) + 2*x(m). Let u(d) = -155*d**2. Give u(w(l)).\nAnswer: -155*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/476)\/((-928)\/(-136)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 11. Solve l = f + 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -30715*n + 150. Let g be f(10). What is g rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 1128 = -3*m + 3*l, 1409 = 5*m + 4*l. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.145907 to two decimal places.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/21)\/g)\/g**3*(g**(-2\/3)*g)**(-18))\/((g\/((g*g*g\/((g*g**(-4)\/g*g)\/g))\/g)*g)\/(g*g\/(g**(1\/10)\/g)))**(-5) assuming g is positive.\nAnswer: g**(-1865\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481849 (base 10) in base 2?\nAnswer: -101101001110001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -0.4, -1771, 5 in descending order.\nAnswer: 6, 5, 3, -0.4, -1771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w - 11. Let r be (4\/(-3))\/((-2)\/3). Let s(k) = -3*k + 2. Let x(j) = r*p(j) + 11*s(j). Let b(v) = -2*v**2. Give x(b(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103301 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9537*o - 9615*o = -1326 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.1 (b) 0.4902 (c) -4\/7 (d) -15 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209316135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**4 - k**3 + k**2 - 1. Let z(c) = -c**4 + c**3 - c**2 - 6*c + 1. Let t(m) = -d(m) - z(m). Find the second derivative of t(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1697178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 4}. Give prob of picking 2 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4478 and 10928559?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1394 = n, 0 = -3*c + 156*n - 164*n + 2148. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 897776 a multiple of 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65657 + -34?\nAnswer: -65713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(208) + sqrt(208) + -2 - ((sqrt(13) - (2 + sqrt(13))) + sqrt(13))*-6*5.\nAnswer: -62 + 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-4) + (0 - (-5)\/20). Suppose -3*f + 2*h = -f - 4116, -b*f - 2*h = -8202. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -411*(55\/15 - 3). Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/52 - -239\/780. What is the fourth biggest value in x, 0.1, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -64. Let k be ((-8)\/i)\/((-2)\/(-136)*2). Let t = 14 + k. Which is the fourth smallest value? (a) 5 (b) t (c) -1\/10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 14 = 4*z + 15, -3 = 3*v + 14*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 20 + 4. Suppose 45 = -7*g + 10. Let b = -29 + g. Put b, x, 0 in increasing order.\nAnswer: b, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 18 = 4*b + 3*w, 0 = 4*b - 2*w - 6. Suppose -b*s + 0*s = -6. Solve 0 = -5*r - j + 24, j - s*j - 8 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1408 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - (0 + -3) - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**5\/2 - 147*p**4\/2 + 555*p**3\/2 - 681*p**2\/2 + 135*p = 0.\nAnswer: 0, 1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*166\/240 + (-2)\/1. Let v = -71\/120 - m. Which is greater: -22 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16681036 and 26736?\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.17418 nanograms in grams?\nAnswer: 0.00000009817418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**(3\/2))*f)\/f**3)\/((f*f**(-4)\/f*f)\/f**(-2))*(f**(-4)\/(f**(-2)\/f))\/((f*f*f*f\/f**(-4)*f)\/f**(-2\/17)) assuming f is positive.\nAnswer: f**(-293\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1040440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 5*d + 2*d = 3*o + 24, 0 = 4*d - 3*o - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101449?\nAnswer: 101449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00189742 to 5 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c**0)\/c)\/c)\/c)**(-19))**(-1\/24) assuming c is positive.\nAnswer: c**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4\/60 + y**3\/15 + y**2\/10 - y - 3. Let v(j) be the first derivative of p(j). Solve v(q) = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4777630?\nAnswer: 2, 5, 11, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*o - 295 = -6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -0.2 (c) -46\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/773941292 and -109\/14.\nAnswer: 5417589044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590183667 take away -0.23?\nAnswer: 2590183667.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2041 - 450?\nAnswer: -2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-120) - (-3)\/18)*-4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**7\/105 + a**6\/150 - 9*a**2. Factor w(c).\nAnswer: 2*c**3*(5*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575 = -295*y - 900 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5892124301?\nAnswer: 7, 841732043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16861020)\/130 + (-8)\/(-52). Round w to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-2 + sqrt(180) + -6*sqrt(180))**2 + (2 + sqrt(240)\/sqrt(3))**2.\nAnswer: 16*sqrt(5) + 8904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -15, -24, -33, -42?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 0 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 8*b. Give y(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200263 - 315043. Round f to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1634 - 1614. Suppose -2*h + 15 + 5 = 0. Solve -p = h*u - 5*u, -5*l = -u - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 7*j + 1 - 25*j to h*j + k and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 23 = 44 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10754?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115*11.\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/5786 and -45\/3748802.\nAnswer: 41236822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(1*-1*(-1)\/(-7)). Let k(z) = 2*z - 11. Let n be k(h). Suppose -u + i = 6*i + 4, -u + 2*i = -n. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y + 9. Let x(w) = -w - 1. Let u(n) = f(n) + x(n). Is u(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -128*q**5\/3 - 1568*q**4\/3 - 1586*q**3\/3 + 1879*q**2\/3 - 383*q\/3 + 22\/3 = 0.\nAnswer: -11, -2, 1\/8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:35 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299 + 299 + 79*f)*(-1 + 1 - 5).\nAnswer: -395*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23398*t**2 + 10981*t**2 + 11094*t**2.\nAnswer: -1323*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2\/13, -3, -0.1 in decreasing order.\nAnswer: 2\/13, 0, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 + 0 - -1). Suppose -10 + w = -5*b. Let t be 1 + 36\/33 - b. Sort t, -1, 0 in increasing order.\nAnswer: -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m**(2\/3)\/m)\/m)\/m)\/m*m)**(-19))**(-3\/16))**1 assuming m is positive.\nAnswer: m**(-133\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 2*s + 97. Determine w(0).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z - 8. Let o(l) = 8*l - 7. Let q(m) = 3*i(m) - 4*o(m). Let a be (12\/(-10))\/((-3)\/15). Let s(v) = -14*v + 11. Determine a*s(f) - 17*q(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 1. Let p be w(7). Let m be (p\/3)\/(1\/3). Solve m = 2*v - 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 79*q. Let c(p) = -4*p**2. Determine c(y(w)).\nAnswer: -24964*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/3)\/k)\/k*k)**(-42)\/(k**(-1\/4))**(-16) assuming k is positive.\nAnswer: k**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (140 - 110) + 3 + (3 - 2) + -8\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.8 - -26. What is the nearest to -3\/2 in v, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 187416822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 40, 75, 118, 169, 228, 295?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 758 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1957, 1960, 1963, 1966, 1969?\nAnswer: 1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004686 rounded to six decimal places?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 14*t - 3. Let u be g(11). Let y be u\/(-15)*(-10)\/(-4). Let q be (880000\/y)\/((-1)\/6). Round q to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/273 and 133\/390?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 + 4?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13709817 or 41129449\/3?\nAnswer: 13709817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/180 + 2*w**4\/9 - 5*w**3\/6 - 53*w**2. Factor q(f).\nAnswer: -(f - 15)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*d + 13, 0 = d - 2*x - 6 + 7. Let t be ((-7)\/(-21))\/(((-10)\/12)\/d). Let j = 3\/17 - 131\/68. Which is greater: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353504*h**2*x**2 + 4*h**2*x - 46*h**2 - h*x - 390*x**3 + 80993 wrt x.\nAnswer: -707008*h**2 - 2340*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:55 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -4 (b) 2 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 2*j**2 - 2*j**2)*(-1 + 2*j + 1)*(-4 + 4 + 3).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 15 - 3*d + 0*d + 1.\nAnswer: -3*d + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.0315 + 58. Let a = 4.3 - 4.342. Let b = l - a. Round b to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*-2*-1)\/sqrt(8).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14854008 divided by -2\nAnswer: 7427004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 384*a**3 - 2756*a**2 + 5952*a - 3582.\nAnswer: 2*(a - 3)**2*(a - 1)*(a + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 3:05 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-222))\/(10\/1230).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-7\/4)*m*m)\/(m*m**27)*(m\/m**(-1\/6))\/((m*(m*m**(2\/17))\/m)\/m*m))**(-38\/9) assuming m is positive.\nAnswer: m**(103493\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14298 = -762*m - 3228 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/((-2)\/(-4)). Let x be (5 + -1)*n\/(-4). Let j be ((-1)\/x)\/(2\/18). Solve -q = j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y. Let w(v) = 3*v. Let i(u) = -3*k(u) + 5*w(u). Let l(c) = -2*c. Determine l(i(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b + 0*b)*(-1 + 3 + 0)*(1 + 2*b - 1).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-25)\/20)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 162, -96, -354?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.84 + -21. Let q = k - 1.7. Let w = q + -0.04. What is the third smallest value in w, -1\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 390925*a*l - 4409*a - 12 wrt l?\nAnswer: 390925*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3877.\nAnswer: 5\/3877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - 7*s)*(0 + 0 - 2*s)*(1 + s**2 - 1 + 1 - 1 + s**2 + 0 + 0 - s**2 + (-1 + 1 - 2*s)*(-3 - 2*s + 3) + 0*s + 0*s - s**2).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5 - 3 + 1 - 2*d + 4. Let z(o) = -o + 4. Determine 6*w(x) - 11*z(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4043152 is divided by 582?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 66*k**4 - 5*k**3 - 4*k - 2 - k + 15*k**3 + 3*k + 4*k as z*k**2 + f*k**3 + i*k**4 + x + u*k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*b*j**2*t**2*x - 8493136*b*j**2*t*x - b*j*t**2 - 27*b*j*x - 2*b*t**2*x + b*t*x + 3307*j wrt j.\nAnswer: -54*b*t**2*x - 16986272*b*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o. Let h be v(0). Let i(f) = h + 1 - f + 5. Let m be 2\/1 - (1 - 0). Let r(j) = -1. Give m*i(s) + 6*r(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h. Let u(c) be the second derivative of -c**4\/12 - 25*c. Determine u(r(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.252 - -0.152. What is the smallest value in s, 0.008, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctvpctvpp. Give prob of picking 2 v and 1 c.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 32*j. Let x(a) = 18 - 30 - 2*a + 12. What is x(c(b))?\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1086*u + 2745*u = 740*u + 160732 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9964 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -78816 divided by 9852?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*l + l = 11, -5*l + 19 = -v. Let n(y) = -16*y. Let q(f) = -5*f. Let j(a) = v*n(a) + 11*q(a). Let k(z) = -3*z**2. Calculate j(k(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 100 = -0*p. Suppose -8*r - 278 = -1702. What is the least common multiple of r and ((-96)\/9)\/4*(-30)\/p?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 3 + 0*z**2 + 23*z**2 - 7567*z + 7567*z.\nAnswer: 20*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, l: 7, u: 4, y: 1, k: 1, q: 2}. What is prob of sequence ya?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50533040 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.4, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 17*n + 11*n - x + 13 = -17*n, 4*x - 31 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6191 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -217809280 rounded to the nearest 10000?\nAnswer: -217810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339468*c**4*d + 11*c**2*d - 14*c**2 + 12*c*d - 1 wrt c?\nAnswer: -8147232*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*a*r*x**4 + 2*a*r*x - 7*r*x**4 - 4*r*x**2 - 73*r wrt x.\nAnswer: 1560*a*r*x - 168*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39749.9 rounded to the nearest one hundred?\nAnswer: 39700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 11. Suppose -a - 2*a = 5*i - 31, 3*i - 15 = 0. Let y be 168\/20 + a\/q. Solve 5*h + 4*l + 10 - 2 = 0, 5*h - 4*l = y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -295*x - 3*x**2 + 359*x - 438*x - 427*x.\nAnswer: -3*x*(x + 267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n + 3*n**2 - 3*n - 3)*(-5 + 7 - 28).\nAnswer: -78*n**2 + 52*n + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 2}. Give prob of picking 1 z and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.1, 0.3, -2\/15, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let y(a) = -48*a - 2. Give y(i(p)).\nAnswer: -48*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, g: 1, s: 5, p: 3}. What is prob of sequence pg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2433.409 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/8 of a milligram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 18. Is 3\/((-55)\/d + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 47?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 7*x - 148 = 0. Let b(k) = -k + 8. Let s be b(9). Let q = x + s. What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215 + -4?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*d**3*z - d*z - 14*d - z wrt d.\nAnswer: -1014*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 35*j**2 + 55*j + 25.\nAnswer: 5*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.5446kg in micrograms?\nAnswer: 439544600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.42 times -0.4?\nAnswer: 78.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 4*k + 7. Let o be l(-2). Solve f - 1 = -2*w + 9, 5*w - 27 = -o*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -1\/4, -2, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/840 - b**5\/70 + 76*b**2. Factor i(q).\nAnswer: -q**2*(q + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/130 and -76\/684723?\nAnswer: 6847230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - 19?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from ccxzzixczccxxxzx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/7)\/((-1260)\/(-27636))*-5?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457*q**2*s**2 - 58*q**2*s + 15*q**2 + s**2 wrt s.\nAnswer: -914*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -134*t**2 + 3*t - 2. Let r(z) = -133*z**2 + 4*z - 2. Give 6*h(c) - 5*r(c).\nAnswer: -139*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 13.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 68538061*c\/2 + 4697465805639721\/4.\nAnswer: (c + 68538061)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y - 14. Let m(z) = -2 - z + 6 - 7. Let g be m(-10). Is q(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2191185 and 810?\nAnswer: 13147110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**3 - 6*j**2 + 7. Let b(i) = -26*i**3 + 17*i**2 - 20. What is 6*b(u) + 17*x(u)?\nAnswer: -3*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42408675.\nAnswer: 3, 5, 188483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + r + 17*r**2 - r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -29\/2 (b) -2.3 (c) 4.97 (d) 0.4 (e) -2 (f) 0 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -887542 + 378242. What is z rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1176 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 44 + 27*l**2 + 0*l - 25*l**2 to j + c*l**2 + u*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/88 and 91\/216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5456, 10978, 16514, 22070, 27652?\nAnswer: 33266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*f - 2*l + 422, 4*f - l = 427. Suppose 0 = 4*z + 24 - f. Is (-6)\/z + 214\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.264834 from 32172.\nAnswer: 32172.264834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6971 is divided by 291.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -18.92. Let f = y + -0.0800052. Round f to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2327974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -3 - sqrt(2736))**2 + 6*3*sqrt(19).\nAnswer: 9 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/21)\/((-707)\/49 - -15)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2241130033 (base 5) to base 2.\nAnswer: -10011001001101111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2361, 4699, 6965, 9123, 11137, 12971, 14589, 15955?\n\"Answer: -6*p**3 + 2380*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3903656 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8953410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 45\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.108278 + -0.108209119. Round i to 6 decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -464a (base 12) to base 5\nAnswer: -222314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0559307 rounded to 1 dp?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b = 4*r + 24, 5*r = -5*b - 5. Let d(j) = -1 + j + 1 + 5 - b. Let o = 9 + -14. What is d(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*v**4 + 113104*v**3 + 23*v**2 + 11199 wrt v.\nAnswer: 288*v + 678624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3526315 + 0?\nAnswer: 3526315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 3. Put j, -2\/13, -1 in increasing order.\nAnswer: -1, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-1*1)**2 + 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62 from 3.4.\nAnswer: 65.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**3 - 46*l**2 - 5*l + 22. Suppose 3*z = -2*q - 25, -4*q - 26 = z - 21. Determine n(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 5}. Give prob of picking 4 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 103 = -47. Let v be (-2)\/((6\/b)\/1). What is v rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(2)*-6)\/(sqrt(150)\/sqrt(3)))**2 - (3 + sqrt(9)\/(sqrt(3) + (sqrt(3) - sqrt(15)\/sqrt(5)))*-1).\nAnswer: 33\/25 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/26141 or -1?\nAnswer: -2\/26141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 6*l**2 - 5*l**2 + 5*l**3)*(0 + 4 - 2)*(9 - 8 - 18)*(-3 + 6 - 1).\nAnswer: -340*l**3 - 68*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179040 is divided by 6131.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 - 4839*o**2\/5 - 839016*o - 1013636592\/5.\nAnswer: -(o + 516)**2*(o + 3807)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -6815931?\nAnswer: -11\/6815931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183651808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 308518732\nAnswer: 1\/154259366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -278, -300, -320, -338, -354?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.12 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -310\/631 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1872\/(-240) - -9)\/(28\/(-10))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Let y(m) = 3*m + 1. List the prime factors of y(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1. Let h(f) = 8*f + 2. Give 2*h(c) - 4*j(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(6 + (-18 - -4)). Let s(d) be the first derivative of 20*d**2 + 45\/2*d**4 + 7*d**5 + 5\/6*d**6 + 9 + 100\/3*d**3 + j*d. Determine w so that s(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/526 and 95\/2.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/176)\/((-3)\/(-6))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {a: 5, g: 1, f: 2, r: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -295 + 323 - (19 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41720, -41715, -41710?\nAnswer: -41705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4437, -8872, -13305, -17736, -22165, -26592?\nAnswer: -31017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6368673310?\nAnswer: 2, 5, 257, 2478083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 141\/12 - 1\/(-4). Let b be ((-32)\/(-2))\/(24\/s). Solve 0 = 3*j + 5*g - 20, -3*j - 2*g + b = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3736*r**5 - r**4 - 7*r**3 + 22469*r**2 + 4.\nAnswer: 224160*r**2 - 24*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4 + 4*p**2 - 2*p + 2 + 4 + 10*p. Is h(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 14*o - 644. Is 28 a factor of 19 - o - ((-2)\/(-2) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 30. Let s(f) = 5*f - 20. Determine -2*h(u) - s(u).\nAnswer: -u + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 128. Let s(h) = h**2 - 14*h + 12. What is s(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + 1 - 7\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 19. Let i be 1\/((r\/33 + -2)\/(-1)). Suppose 3*f - 220 = 11. What is the greatest common factor of i and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*k - 3 = 162*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 1, -2.\nAnswer: -11, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2 - 12*j**2 - j**3 - 5*j**2 + 0*j**3 - 66*j - 4*j**2 = 0. What is j?\nAnswer: -22, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -5*b + 0*b**4 + 0*b**3 + 0 - 1\/4*b**5 - 2*b**2. What is the first derivative of l(m) wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14507 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1261311 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 - 12*m + 9. Let j(p) = -p**2 + 2*p. Give -6*j(k) - s(k).\nAnswer: k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3 - 1104691*d**2 + 5*d - 2775640 wrt d?\nAnswer: 24*d - 2209382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 + 2. Let r(n) = 4*n**2 + 1. Let b(t) = -3*l(t) + 5*r(t). Let k(h) = -8*h**2 + 2*h - 2. Let a(j) = 6*b(j) - k(j). Factor a(u).\nAnswer: 2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + o - 2. Let y(f) be the first derivative of 2*f**3\/3 - f**2 + 3*f - 1. Let j = -9183 - -9187. Determine j*g(i) + 3*y(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 11*q + 13. Let d(s) = s**2 + 6*s + 7. Let u(g) = 3*c(g) - 5*d(g). Determine u(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*g + 2, -5*g = -0*y + 2*y - 8. Let l be (-1 - -7)*(-24)\/(-48). Sort 1, y, l in ascending order.\nAnswer: y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -32?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342534 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsss when four letters picked without replacement from {t: 1, s: 3, f: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 7:29 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*d = 10377, -2*h + 6*h - 13804 = 4*d. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/6 + s**2\/2 + 7*s. Let y be q(-15). What is the units digit of (-2)\/8 + 164\/y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (168800\/(-250))\/(2\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000318931 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 18*m**2 + 403*m + 10. Let f be t(-31). Solve 5*q + 5*w + 19 = 4*w, f = 2*q - 4*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 19, 34, 49, 64?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**8\/560 - n**4\/12 - n**3\/3 - 3. Let r(s) be the third derivative of y(s). Find the first derivative of r(q) wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.13204?\nAnswer: -4.86796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltetltx. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**6\/3 + 211*n**5\/5 - 431*n**3\/3 + 70. Find the third derivative of j(t) wrt t.\nAnswer: -120*t**2 + 5064*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2539.06 - -2516. Round k to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/450)\/((-22)\/5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/25)\/(14\/(-105)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**2*p**2 + l**2*p - 641*l**2 + 5*l*p**2 - 151*l*p + 10*p**2 wrt l.\nAnswer: 10*p**2 + 2*p - 1282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*j + 2*j + 5*j)*(-j + 3*j - 4*j)*(-2 - 11 - 20) to the form r + a*j + c*j**2 and give c.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460874631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, and 2 m when four letters picked without replacement from omamuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143\/590 + -5\/118. What is the nearest to g in -0.1, 40, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-21)\/15 - -1)\/(21\/(-1785))).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5010, 4980, 4952, 4926, 4902, 4880?\n\"Answer: v**2 - 33*v + 5042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 155660 = -5*q, -71*h = -75*h - 16. List the prime factors of q.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/153 and 38\/15.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**0\/j*j)*j*j)**(-3\/11)\/(j\/j**(1\/2)*j\/(j*j**(-2\/11)))*j**(1\/3)*j*j\/(j**(-8)*j)*j*j**(-1\/3)*(((j**0\/j)\/j)\/j*j*j)\/j assuming j is positive.\nAnswer: j**(137\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2. Let z(j) = 45*j + j + 47*j. Give o(z(q)).\nAnswer: 43245*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 18. Which is the third biggest value? (a) o (b) 2\/3 (c) -2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 35, 59, 81, 101, 119?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4368*y**3 + 3*y**2 - 23*y + 751. Let p(t) = -4368*t**3 + 3*t**2 - 20*t + 750. Let o(q) = -8*p(q) + 7*x(q). Find the third derivative of o(s) wrt s.\nAnswer: 26208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 186, -2, -87 in descending order.\nAnswer: 186, 0, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93507216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*i**2 + 230*i**2 + 3*i**2 + 13*i**2.\nAnswer: 136*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1058 or -1057?\nAnswer: -1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 727348 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.575 rounded to the nearest integer?\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 w, and 1 s when four letters picked without replacement from suwspupwpswwupwwwwww.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000945191 rounded to seven dps?\nAnswer: 0.0000945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 11*h**2 - 9*h. Let r(f) be the second derivative of f**4\/12 - f**3\/6 + 4*f - 911. Calculate -a(l) + 6*r(l).\nAnswer: l**3 - 5*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 10. Let m = -22 + 23. What is the units digit of h\/(-4) + (m - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-122)\/5 + (-12)\/(-30). Let k be ((-4)\/(-10))\/((-1)\/30). Calculate the remainder when 26 is divided by k\/q*(15 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129356 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/6 - (-160)\/((504\/16)\/((-24)\/32))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 22*h - 35*h - 2*h**2 + 6*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j + 84. Let g be (0 + -3)*-83 + 3. What is the greatest common divisor of j and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/3 and 103\/5183646.\nAnswer: 5183646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5565 (b) 5 (c) 3 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + 2. Let v be 2 - (-8)\/(m - 1). Let j be v\/(-1)*1\/7. Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32664 minus -1107?\nAnswer: 33771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -4*sqrt(143))*-3 + sqrt(143))\/(sqrt(704)*5).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 670\/268 - (0 - 45\/2). Which is smaller: x or 616\/25?\nAnswer: 616\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.902819mg in grams?\nAnswer: 0.007902819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let f = -368 - -411. Let k be (43 - f)\/(3\/(-1)). Solve k = 5*t + 4*c - 3, -4*t + y*c = -0*c - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-48.\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cslycy. What is prob of sequence cs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25.73 * -0.2\nAnswer: 5.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from wwwzwzwwwzwwzwwwwww.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 24051 = 505*f - 502*f, f - 8038 = 4*c. Is f a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 170. Let i = a + 91.091. What is i rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let a(x) be the first derivative of -4*x**2 + 153. Give a(n(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 0.541 (c) -7 (d) -1 (e) 4 (f) 5 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = -16. Suppose j*a = 22 - 72. What is the common denominator of -73\/4 and ((-23)\/(-2))\/(a\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3007430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6237 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3329? (a) -0.1 (b) -2 (c) 252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*2\/((-3)\/(-3)). Let z be ((-3)\/i)\/((-3)\/(-42)). Let q(t) = 7*t - 28. Let s be q(7). Calculate the greatest common factor of z and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 832\/11615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i + 7. Let z be t(-7). Let k = 7 + z. Solve 0 = -3*p + n + 13, -3*p + 0*p + 3*n + 9 = k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 123, 234, 387, 588, 843, 1158, 1539?\n\"Answer: s**3 + 12*s**2 + 32*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*b - 28*b + 25*b + 26*b as h + y*b and give y.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2.7570722\nAnswer: -5.5141444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.63 + -4.13. Which is the nearest to 1\/6? (a) 0.3 (b) v (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 2, m: 1}. Give prob of picking 2 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**2 + 19*w - 89. Give j(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:39 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 555*y + 12393. Calculate w(-21).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215\/54 or 5?\nAnswer: 215\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -60*y**4 + 275*y**3 - 335*y**2 + 155*y. Let h(n) = 5*n**4 - 23*n**3 + 28*n**2 - 13*n. Let c(z) = 35*h(z) + 3*w(z). Factor c(b).\nAnswer: -5*b*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 2*i - 2*i)*(31 - 12 + 0) + (-6*i + 3*i + i)*(3 - 1 + 0) - 5*i + i - i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 - (6 - ((-27 - -12) + 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4077 and 1016079?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or -255?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millimeter in micrometers?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 123*l**2 + 2440*l - 13829. What is q(-141)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 221200010 (base 3) in base 5?\nAnswer: 1044324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -208.479 times 2.1\nAnswer: -437.8059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2604151*z = -2604104*z - 987 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-19 - 37) + 32).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/7)\/((48\/4)\/((-1470)\/392)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(13 - 3)*-38. Calculate the highest common divisor of 95 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from yybgubyuyuyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22097061 - -22097053.6900666. Let g = u - -7.31. What is g rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*y**2 - 4*y - 10*y**2 + 4*y.\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -27*z**3 - 2*z - 4. Let d be t(-2). What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + 4*a)*(0*a**2 - 3173*a**3 + 3433*a**3 + 0*a**2).\nAnswer: 520*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, o: 4, h: 4, y: 5}. Give prob of sequence ggo.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 3*j + 11. Calculate the remainder when 74 is divided by h(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4841 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 767\nAnswer: -5\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 73. Let r = 62 - j. Solve -b - d = -2*b, 3*b = d + r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 17*j + 74. Calculate the lowest common multiple of 56 and b(18).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-32))\/((-26)\/(-8)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3848623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -18. Let k(h) = 13*h**2 - 7*h**2 - 9*h**j. Let x(r) be the second derivative of r**4\/3 + 3*r. Determine x(k(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 5*j + 2. Give d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 10*b**2 + 10*b + 13. Let m be r(11). Suppose -548 = -m*p - 2*g, 6*p = 5*p + 2*g + 259. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554538049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444602 = 176*d - 75*d. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 301*z**2 + z - 1. Let o(w) = -w**2 - w - 2. Let d(l) = -o(l) + s(l). Let b = -3 - -2. Is d(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 28)*(0*f - 3*f + 4*f)*(f**2 + 4*f**2 - 3*f**2).\nAnswer: 56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**45\/(g**13*g**(3\/2)))**(-5\/9) assuming g is positive.\nAnswer: g**(-305\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/89 and (-7)\/4*((-90)\/(-84))\/(-15).\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j + 16. What is the smallest common multiple of 2 and m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 131, 185, 235?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(72) + sqrt(56)\/sqrt(7) + (sqrt(2) - sqrt(98)) + 5 + sqrt(8)\/(1*sqrt(4)))**2 + -1.\nAnswer: -150*sqrt(2) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/24 + 5*n**3\/6 - 3*n**2. Let o(b) = b**2 - 2*b - 4. Let x be o(4). Let y(u) = 1. Calculate x*y(w) - d(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**8\/784 - 2*x**7\/245 + x**6\/70 + 38*x**2. Determine r, given that t(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*b + 7 = -6, o = -5*b + 7. Find the third derivative of 6*h - 5*h - 10*h**5 - 2*h**3 + o*h**2 - 7*h + 23*h**5 wrt h.\nAnswer: 780*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -919\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203*s + 208*s + 5 - 507*s**2 - 5)*(5*s**2 - 5*s**2 + s**2).\nAnswer: -507*s**4 + 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*x**2 - 4)*(-4*x - x + 3*x) + 8764 - 8764 + 120*x**3.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3. Calculate m(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 353505 less than or equal to 2121031\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 693?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1643989 divided by -328\nAnswer: 1643989\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 188301\nAnswer: 753204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*k + 1. Let v be k\/3*87\/1. Let y = v - -106. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 12*f**3 + 2 + 10*f**3 - f**3 + 10*f + 2*f as o + x*f + j*f**2 + y*f**3 and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 - 3214\/11. What is the smallest value in 5, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.71.\nAnswer: 0.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 69. Let x be (-3 + w)\/(4\/10 - 0). Solve -2*z = x + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 1. Let i(u) = 8*u - 5. Give -i(h) + 6*p(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2036*f**2 - f + 12. Is x(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.116 - -0.016. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 163.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + (-280 + 102 - -26).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2055 divided by 48\nAnswer: -685\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -21700016*s + 19. Let f(c) = 151900112*c - 132. Let z(t) = 3*f(t) + 20*u(t). Let k be z(1). Round k to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15085739988 - -4?\nAnswer: 3.84914260012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118092149.\nAnswer: 7, 17, 992371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -77602482?\nAnswer: 77602486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -557.43?\nAnswer: -2229.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (10 - (-168)\/(-16))\/(17\/(-391))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 64612*z - 4329070. Give r(67).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 33*s + 3. Let g be u(0). Let y(n) = -n**2 - 25*n + 48*n - g - 17*n. Give y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831680?\nAnswer: 2, 5, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 25*l - 8. Let y(v) = -19*v + 6. Let x(n) = -6*u(n) - 8*y(n). Let f(q) = 8809*q. Determine x(f(z)).\nAnswer: 17618*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 2*h + 3. Let z be c(-2). Let u be -3 + 2\/(-7*6\/(-63)). Let l(g) = u + 1 + 0 - 18*g + 21*g - 4. Give l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4)*(-144)\/48?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - g)*(7 + 0 - 5) + 3*g - g - g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -106?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*y - 124*y + 3*y**2 + 29*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4 and 15 + (-20484)\/873 + 8.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.95 - 4. Let u = 1066.964 - 1067. Let g = l - u. What is g rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -23*q**2 + 23*q - 2. Let s be j(7). Let r = s + 1920. Does 37 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/2 + 58501*f**2 - 2574770*f + 28325132 = 0?\nAnswer: -117046, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 149*j**2 - 2*j - 5. Calculate the remainder when a(-1) is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 29166 = -21*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(32)\/sqrt(4)) + -1 + sqrt(176).\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/21 + (-15)\/(-14))*-4. Let x = m + 10. Suppose 2\/9*s**3 + 2\/9*s**x + 0*s - 2\/9*s**2 - 2\/9*s**5 + 0 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39\/62 - -4\/31. Let m = 19.1 - 20. Let x = 1 + m. Which is the nearest to x? (a) -1\/8 (b) v (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208348 and 392.\nAnswer: 416696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.763 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2101 = 5*l - 42*m + 41*m, -4 = 4*m. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 1.71 (c) 1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -24, -45, -70?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -381 - -385. Solve 0 = 2*z - s*b - 10, -6 = 3*z - 6*b + 7*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 5*h - 13. Let o be g(6). Let c(t) = t + 2. Calculate c(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/28 and -32\/17659.\nAnswer: 494452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 122*s**3 + 17*s**2 + 20*s - 28. Let m(x) = 41*x**3 + 5*x**2 + 6*x - 8. Determine -2*d(u) + 7*m(u).\nAnswer: 43*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-35) - (2388\/21)\/(-2). Sort -2, p, 0, 4 in decreasing order.\nAnswer: p, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, -1, -2857, 1 in decreasing order.\nAnswer: 1, 0, -1, -14, -2857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - k**2 + 3)*(2*k - k + k) + (-4*k**3 - 4*k + 0*k**3 + 6*k**3)*(0 + 0 - 9).\nAnswer: -20*k**3 + 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*1*-1)\/(sqrt(900)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0016 (b) -2\/19 (c) -1\/47 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/7 (b) -4 (c) -1 (d) 1.32 (e) 418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210510 is divided by 154?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*h - 17, -2*c + 5*c - 12 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134241570 divided by -7.\nAnswer: -134241570\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*y**4\/9 - 608*y**3\/3 + 948*y**2 - 216*y = 0. What is y?\nAnswer: 0, 6\/25, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 222 = 162. Let t = -194 + 137. Let k = g - t. Calculate the remainder when 49 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x**5 + 66*x**2 - 66*x**2 + (233*x**4 + 8*x - 233*x**4 + x**5)*(-3 - 4 + 6).\nAnswer: 12*x**5 - 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49387 divided by -29.\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16)*b**(-3\/13))**31 assuming b is positive.\nAnswer: b**(-6541\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*b = 154*b - 5936 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*i = 48, -6*i = -3*c - 8*i + 87. Suppose -c = -9*m + 63. Solve v + 0 = p - 5, -3*p = 2*v - m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 533656 and 305876.\nAnswer: 6508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = d - 4. Let x = 0 - -0.1. Let n = x + -0.1. Is n greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 314*f**3 + 2*f**3 - 20*f**3 in the form d + r*f**2 + h*f**3 + k*f and give h.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-3)\/6*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 382*n - 8 - 15*n**2 + 161*n**2 + 19*n**2 + 379*n - 759*n to the form j + d*n**2 + h*n and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/13 + 8*l**4\/13 + 6*l**3\/13.\nAnswer: 2*l**3*(l + 1)*(l + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 13*b**2 - 6. Calculate v(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Let u(y) be the second derivative of 2*y - 1\/6*y**4 + 1\/2*y**2 + 2\/3*y**3 + 0. What is u(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 6\/(-3) + 1. Let v be 0\/(-1) + w - -1. Let -2\/3 - 2\/3*s**v - 4\/3*s = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1\/4, -12\/31 in increasing order.\nAnswer: -0.7, -12\/31, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 24?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 22*s**2 + 2*s - 13. Suppose 9 + 4 = d. Let o(v) = -11*v**2 - v + 6. Let f(t) = d*o(t) + 6*i(t). Find the second derivative of f(r) wrt r.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.06 * 4.2\nAnswer: 109.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let b be p(-2). Suppose -z - 3*w + 446 = -0*w, 2230 = 5*z - b*w. Suppose z = 6*x - 670. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 7*b + 6. Suppose 4*q + 4*m - 2*m = 5660, 0 = -4*q + 4*m + 5636. Suppose q*z = 1410*z + 15. Calculate r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-143) + 156\/(-11). Let l = p + 18. Suppose m - 3*n = n + 6, -l*m + 2*n + 10 = 0. Sort 6, m, 4 in increasing order.\nAnswer: m, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/8)\/(n\/(n*n\/n**(-25)*n))*(n**(-3))**7 assuming n is positive.\nAnswer: n**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 306054340 from 12.\nAnswer: -306054328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 19*z + 19*z - 26 - 66*z**2 - 29 to d*z + b*z**2 + m and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 - 2*q**2 - 2*q + 5. Let w(y) = -46*y**3 + 17*y**2 + 17*y - 42. Give -51*t(u) - 6*w(u).\nAnswer: -30*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppgwwcprpddc. Give prob of sequence pwp.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 17 = 3*v. Suppose v*t = 16*t + 4. Suppose 7*l - 5*b - 10 = 2*l, 0 = -t*l + 2*b + 12. Solve -5*f = -6*a + 4*a - 28, -2*a = -l*f + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9100 and 7280?\nAnswer: 36400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + 9*k**2 + 26*k - 1. Let s be r(-4). Calculate the highest common divisor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s. Let a(p) = -38*p**2 - 145*p. Determine a(y(q)).\nAnswer: -608*q**2 - 580*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4701 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 23*o**2 + 59*o - 211. Let l be t(25). Solve -l*b = 5*f - 19*b, -5 = 2*f - b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + u**4 + u**4 + (8*u**2 + 8*u**3 - 8*u**2)*(-2*u + 4*u - 6*u).\nAnswer: -31*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479, 1110, 1751, 2408, 3087, 3794, 4535?\nAnswer: 5316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -16\nAnswer: -29\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.42736 months to years.\nAnswer: 5.45228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7918161 years?\nAnswer: 9.5017932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10780127201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 39, 1, -4 in descending order.\nAnswer: 39, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.2 (c) 1\/7 (d) 351 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 1. Let l be j(-1). Find the first derivative of l - 3*x**4 + 0*x**2 - 7*x**2 + 7*x**2 wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940)*4 - sqrt(60))\/(sqrt(12) + sqrt(96)\/(1*sqrt(8)) - sqrt(12)).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 27 - 167 = -3*r, 2*r + 2*h = 112. Suppose -3*o = o - r. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 82 = -12*v + 247. Solve j - 41*m = -43*m - 3, -2*j - v = -m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280531723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19133989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 11. Let v be b(0). Let z be (-4 - -2) + (-122 - -1). Let p be 0 + (-2 - 0) - z. Calculate the greatest common divisor of v and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -5)\/(2 - 4). Suppose 4*p + 2*q + 96 = u, 3*p - q = -0*q - 82. What is the common denominator of 8\/(2*(-22)\/p) and -39\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 9*m + 58 - 21, -4 = 5*y - 2*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -61*f**2 + 2*f. Let b(h) = 124*h**2 - 5*h. Let r(d) = 2*b(d) + 5*u(d). Let x(i) = -i**2. Give r(x(v)).\nAnswer: -57*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -96, 1\/2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 392ba (base 13) in base 15?\nAnswer: 215d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38.1? (a) -2 (b) 15 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaapakkaakpk. What is prob of picking 3 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41583*v - 42274*v + 31*v**2 + 83857*v.\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 696*g + 7394. Give c(-11).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**4*p**2 + 2*n**4*p + 153*n**4*t + 30*n**2*p**2*t - 2*n*p**2 + 3*n*p*t wrt n?\nAnswer: 96*n*p**2 + 48*n*p + 3672*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*v = 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/177 + 11939\/1416. Let h be (4\/4)\/(2\/(-18794)). Let m = h - -150295\/16. Find the common denominator of u and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1 - (-54)\/(-24)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*a**4 + 3 - 17*a**4 - 1 wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 470 + -425. Let l be ((-140)\/v)\/((-4)\/18). Solve u + 3*x - 14 = 0, -4*u + 3*x = -l + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15454 - 15449. Solve -3*v + g = 3*x - x, -4*x - 5*v + 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - y + 73, 44 = 4*r - y - 3*y. Suppose r*x - 8805 = -x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dor when three letters picked without replacement from drddridowddodd?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.87356 millennia in years?\nAnswer: 9873.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 162. Suppose -s - 18 = -5*g. Factor 14*o**2 + 7*o**3 + 30*o + 0*o**3 + g - 5*o**3.\nAnswer: 2*(o + 1)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 12 + 4 = -4*f, -5*q = -5*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1900) + 1 + 1 + sqrt(57)\/(sqrt(75)*-4 + sqrt(3))).\nAnswer: -189*sqrt(19)\/19 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10695 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by (-117)\/(-12)*8\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 3 - 4*f**2 - 2*f**2 - f**2. Let g(m) = -m. Give g(n(p)).\nAnswer: 5*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1300) + sqrt(1300) + -2 - (sqrt(1300) - -3*(sqrt(1300) + 2))) + 1*(sqrt(1300) + -2 + sqrt(1300))*1*5)**2.\nAnswer: -3520*sqrt(13) + 83684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 998674727 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(87\/(-27) + 3 + (-133)\/(-315)). Sort d, 19, 11 in increasing order.\nAnswer: d, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11761 + 5881 - 9132*n + 5880)*(-3 - 2*n + 3).\nAnswer: 18264*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*l + 60*l - 175*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-27))\/((-1)\/(-21)). Suppose -l = y - 20. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4974 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Let h be 11352\/(-430)*55\/(-2). Let s = -701 + h. Solve v*q = 7*q, -5*m + s = -q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11981 = 240*q + 6019 for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - u. Let a be y(1). Put a, -3, 3 in ascending order.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2253106873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*r - 5, 0*y = -y + r. Let c(i) = 4*i**2 - 2*i + 1. Let o be c(y). Suppose 3*s = o*m - 27, -4*m + 3*s - 6*s + 1 = 0. Solve 12 = -m*h - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6753205 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3613.\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545207317?\nAnswer: 127, 269, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y*y**(-14)*y*y)\/(y**(2\/9)*y**13\/y) assuming y is positive.\nAnswer: y**(-119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/10))**17 assuming n is positive.\nAnswer: n**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/(c\/c**18*c)))*(c**21\/c*c)\/c*c*c*c*c*c*c**(14\/3)\/c*c*c**(-2\/17) assuming c is positive.\nAnswer: c**(2374\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 11 = -5*r. Let f be 0\/(r*1 + 2). Let c(v) = v + 8. Determine c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7438.69952 + 7444. Let z = 3.3 - 8.6. Let v = z + l. Round v to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + (-40)\/4)\/(6\/(-8)). Suppose -25 = -4*i + 5*p + 12, -5*p - 25 = 0. Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 17 (c) 4\/23 (d) 0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o + 2*o)*(-33 + 37 + 141)*(-6*o + 2*o + 2*o).\nAnswer: -1450*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 199\/60 (c) -0.9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1 + 6\/9). Suppose 821*t - 834*t + 65 = 0. Let n = 0.3 - 0.1. Which is the third biggest value? (a) t (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/7, 2\/5, 3, 72 in descending order.\nAnswer: 72, 3, 2\/5, 2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 798534817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67169, 134449, 201729, 269009?\n\"Answer: 67280*o - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70676160 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5472\/21 - 11 - 81\/(-189). Suppose -4*h = -72 - 8. Calculate the greatest common factor of h and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 220 = 4*p. Let c be 3 + ((-1668)\/(-9))\/(-4). Let r = p - c. Is -2 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203977 (base 16) in base 14?\nAnswer: 3cd8b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -177*s**2 + 401*s**2 - 219*s**2. Give q(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 1\/1 - -2. Let k be -3 - (0 + i) - -6. Suppose 108 = -3*v + k*v. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46325 - 46326. Let p(c) = 27*c + 4. Determine p(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24 - 2)\/((-2)\/(-6)). Suppose -l + m = 4. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 4*s = 70. Let q = -11 - s. Suppose b + 3*n = -2*b + 81, 0 = q*b - 3*n - 51. What is the least common multiple of 20 and b?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1092938 and 322.\nAnswer: 25137574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7 + (-3 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39001495 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -495, 151, 4, -4, 11 in decreasing order.\nAnswer: 151, 11, 4, -4, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63, 56, 49, 42, 35?\n\"Answer: -7*h + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 1a27a27?\nAnswer: -1a27a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/7 + 354*t\/7 + 10443\/7 = 0 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34860 - -34860.3. What is the closest to 0.06 in -2, 2\/33, t, -5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**7\/70 - 7*l**5\/60 - 8*l**2. Find the third derivative of g(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 884365, 884374, 884383, 884392, 884401?\n\"Answer: 9*o + 884356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1577984*i**4 + 115*i**2 - 582*i + 1 wrt i?\nAnswer: -37871616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.8168 hours in minutes?\nAnswer: 56569.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 16\/11 (c) -4 (d) 0 (e) -1\/1006 (f) 4 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*w + 2*s + 112 = 0, 5*s - 6*s - 4 = 0 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4814 and 4.\nAnswer: 9628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 24*x - 1. Give s(25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1647426 by 823713.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102)*-3 + sqrt(102))*2)\/(-6*1*sqrt(6) - (sqrt(216) + sqrt(216) + 2*sqrt(216) + sqrt(216))).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/593333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.53167 + -142382.53167. Let s = z - -142378.899985. Let r = -1.1 - s. What is r rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -187*l + 1796 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*t + t, 16 = 3*n - 5*t. Suppose -36 = -2*x - n*x. Let c(v) = -v + 45. Let s be c(0). What is the greatest common factor of x and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -102. Calculate the remainder when i is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g. Calculate x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 15*p - 26. Let u be j(11). Let q be (-2)\/(7\/(u\/4)). Suppose 708 = q*l + 203. List the prime factors of l.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 28*k**4 + 1112*k**3 + 14976*k**2 + 71656*k + 43940 = 0?\nAnswer: -13, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 580271.0435 + 217\nAnswer: 580488.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*q - 186, -4*s = q - 53 - 15. What is the smallest common multiple of q and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 14*m**2 - 15*m + 20. Let i be r(-15). Suppose 6 + 24 = 3*d. Calculate the highest common factor of d and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - 162. What is the lowest common multiple of h and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -891828127470 + -117.\nAnswer: -891828127587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53777 by -5.\nAnswer: -53777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnq when three letters picked without replacement from pcuncurqp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -7e97?\nAnswer: 7ec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -21*q + 20. Suppose s + 21 = 4*u + 7, 0 = 5*s + u + 28. Is 28 a factor of z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**5 - 3185*j**4 - 155475*j**3 - 1974115*j**2 + 155480*j + 1977300 = 0.\nAnswer: -585, -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251026.\nAnswer: 2, 313, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 461*n + 461*n + 2.\nAnswer: 9*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Suppose -a*m + 42 + 0 = -5*h, 15 = -3*h - m. What is the units digit of 634\/18 - h\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17665246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8481 > 8421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skstsststti. Give prob of picking 1 k and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804741 divided by -1804741?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123200221 (base 4) to base 11.\nAnswer: -892471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 17*h + 3. Give l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 325 = -0*i + 2*i, 3*x - 4*i - 349 = 0. What is the highest common factor of x and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.18 (b) -0.0589 (c) -8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22819 - -23001.39. Let l = x + -185. What is l rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 2 - 6 + 0 - 5 + 4 - 1 + 0 + 3 + 1 + 2 - 2 - 2 + 1 + 2 + 1 + 1 + 0 + 1 + 4 - 6 + (-1 + 3 - 1)*(6 - 2 - 2) - 2 + 1 + 2)*(-2*o + 2*o + o).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 11:53 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -196. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 1699150.\nAnswer: 11894050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7620 is divided by 1896?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.07 - 8.07. Which is the nearest to 2? (a) 2 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9207673 tonnes in grams?\nAnswer: 920767.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*s + 259*s = -240. Which is smaller: -50 or s?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384973 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let h(w) = 8*w + 2. Calculate h(u) - l(u).\nAnswer: 9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -7.9. Let i = -5373091\/140 - -38379. Let q = i + -5\/28. What is the nearest to 1 in q, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {m: 9, l: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 419 = 961. Is a\/(-25) - (-1)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 447864 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -17*j + 9. What are the prime factors of (-6)\/j*(-129)\/6?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**6\/120 - 3*r**5\/20 - r**4\/3 - r**3 - 15*r**2\/2 - 3*r - 73. Let c(m) be the second derivative of b(m). Calculate c(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -641*-3\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.38 - -9.98. Let n = 16.9 + -17.9. Which is the second smallest value? (a) n (b) 6 (c) g (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + sqrt(10)\/sqrt(5) + 2 + (sqrt(36)\/sqrt(24))\/(sqrt(24)\/(1*sqrt(8))).\nAnswer: 3*sqrt(2)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/20 - h**4\/12 + 5*h**2 + h. Let y be 0*(1 + (-10)\/8). Calculate the least common multiple of v(y) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/7))\/x*x\/(x\/x**(-1\/2))*(x**(-2\/3))**(-2\/121))**(12\/7) assuming x is positive.\nAnswer: x**(-2066\/5929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let n(u) = -4*u**2 - 20822*u. Determine x(n(b)).\nAnswer: -4*b**2 - 20822*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (34 + -46)*((-719)\/(-3))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*s = 2190 - 2214, s = 4*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 23 (c) -4 (d) -3 (e) 1\/6 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/15)\/((-21)\/54))\/(14\/49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n, -2*n + 1646 = y - 96. Calculate the highest common factor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 19*t**3 + 2*t - 1. Let d(l) = l**2 + 4*l - 9. Let r be d(6). Let p = -31 + r. Calculate the least common multiple of m(1) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 821, 1741, 2661, 3581?\n\"Answer: 920*l - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.97474 months in years?\nAnswer: 5.747895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*m + 10 = 0, -11*i + 2*m = -15*i + 26. Solve 3*s = 4*c - 7, 5*c - i*s - 26 = -7*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -511?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*p**2*x**3 + 4*p**2*x**2 - 223*p**2*x - 5*p**2 + 2*p*x**3 - 248*p*x**2 - x**2 + 34*x + 2 wrt p?\nAnswer: -22*x**3 + 8*x**2 - 446*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n**2 + 14*n**2 - 6*n**2. Let b = 1 + -2. Calculate the remainder when 50 is divided by a(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314810?\nAnswer: 2, 3, 5, 7, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q = -j - 15, 2*q = -3*j + 7. Let f be 1\/9 + 400\/(-36). Let z(o) = o**3 + 10*o**2 - 10*o + 17. Let b be z(f). Is b <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -465, -461, -457, -453, -449?\n\"Answer: 4*a - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 60*h. Let u(k) be the first derivative of -17 - 1\/2*k**2 + 0*k. Give v(u(l)).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76459\/10 + -7639. Calculate the common denominator of (282\/18)\/(20\/3) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.39 < -1348.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2214 and 1476.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**6\/144 + 113*n**4\/12 + 124*n. Let o(h) be the third derivative of f(h). Give o(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/20*(8 - 18). Suppose c + 25496 = 5*d, 0 = -3*c + z + 11. Round d to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 3 + 3 + (26*t - 58*t - 6*t)*(-2*t + 103 - 103) in the form w*t + n + y*t**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 7*f**2 + 19*f + 11. Let g be c(-9). Suppose -65 = -5*l + 5*j, -g*l + 3*j + 6 = 5*j. Solve -3*o - l + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3*m + 6. Let y be (6\/(-4))\/(6\/16). Let j be f(y). Let u = -4 + j. What is the least common multiple of u and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**3 - 35*h**2 + 2. Let u be m(-5). Suppose 6 = -0*c + 2*c. Let i(b) = 13 + 2*b**2 + 9*b**u - b - 2*b**2 - b**c. What is i(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48704 - 0.4993. Is -0.1 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 + 458032*b + 4580520 = 0. What is b?\nAnswer: -10, 229026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1 (c) 48 (d) 9 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 123 + -54 + (2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.56 + 34. Let o = a - -0.533. Let h = o + 0.0269938. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(11\/(55\/20)). Solve 4*w = -h*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -113703 and -113662 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/5100 and -55\/476.\nAnswer: 35700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4\/9, 13, -0.3, -0.25?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 56*t**2. Let a(o) be the first derivative of 15 + 1\/6*o**3 - 7*o + 0*o**2. Let v(c) be the first derivative of a(c). Calculate s(v(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 20*r**2 - 3*r**2. Let h(s) = 300*s**2 - 16*s + 48. Let c(l) = -56*l**2 + 3*l - 9. Let n(b) = -16*c(b) - 3*h(b). What is n(g(x))?\nAnswer: -1936*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**5\/20 + 7*b**4\/12 - 5*b**3\/3 + 3*b. Let h be s(5). Let g = 0 + 2. Is g < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6266, 6394, 6518, 6644, 6778, 6926, 7094?\n\"Answer: o**3 - 8*o**2 + 145*o + 6128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3 + 16*l**2 - 48*l = 0.\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-4)*1\/2. Let x(z) = z**3 - 6*z**2 - 4*z + 6. Let b be x(7). Suppose 26*v = b*v - 5. Sort u, v, 4 in increasing order.\nAnswer: u, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 12*i**2 - 13*i - 13. Let f(r) = -r**3. Let y(d) = 3*f(d) + p(d). Suppose -35 - 9 = 4*t. What is the units digit of y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 0*a**3 - 2*a**2 + a**3 - 441*a**4 - 60 + 440*a**4 - 1605*a + 61 to j*a**2 + y*a + m + p*a**4 + r*a**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0299 + 0.1099. Let m = 11 + -7. Which is the closest to o? (a) 0.3 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2033*v**2 - 233*v - 2288*v**2 + 2 - 4 + v**3 + 4 wrt v.\nAnswer: 6*v - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902594437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*q**4 - 41*n**2 + 29*q**4 - 78*q**2 + 3027 with respect to q.\nAnswer: 4*n**2*q**3 + 116*q**3 - 156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156.8 + -142. Let p = o - 14.79999853. What is p rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*j**4 - 33*j**4 - 12*j - 42*j**4 wrt j?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11108\/22 + 141\/1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -788484, -788475, -788466?\nAnswer: -788457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6606 and 3669266?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 9 + k**2 - 12 - 6. Is w(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3\/7 + 38*z**2\/7 + 176*z\/7 + 184\/7 = 0.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28011 divided by 28011?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1240.26162 - 306047\nAnswer: -304806.73838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 15.6, -1\/2?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - k - 13, -o + 3*k + 1 = -5. Let d(y) = 21*y - 165. Let h be d(10). Suppose -h*a = -31*a - 56. Solve a*v - 4*b = 12, -o*v - b - 3 = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 241\/3 (c) 14 (d) 0.1 (e) -17\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from vyykvvyvaavayda.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppprrrrprpr. Give prob of picking 2 r and 1 p.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5053 and 121613?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1003 divide 55675527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (5220\/(-1890))\/((-2)\/21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549425?\nAnswer: 5, 21977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(-3*sqrt(637))**2.\nAnswer: -22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b + 2*b)*((0*b**3 + b**3 - 3*b**3)*(0 + 2*b + 0) - 8*b**4 + 5*b**4 + 4*b**4).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20.7 * 0.715\nAnswer: 14.8005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 2. Let g(h) = 7*h - 7. Let z(x) = 20*x - 20. Give t*z(o) - 17*g(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, 8, 15, 24?\n\"Answer: t**2 + 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 3. Let y = -38 - r. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*s - 2*a + 19, -9 = 4*s - 3*a. Let m(d) = -6*d**2 + 2 - 2 + 3 + 4*d. Let k(f) = 11*f**2 - 7*f - 5. What is s*k(n) - 5*m(n)?\nAnswer: -3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**6\/30 - 29*x**4\/4 + 57*x**3 - 1031*x. What is the second derivative of p(q) wrt q?\nAnswer: -12*q**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1481 - -10393\/7. Let v be 24444\/8 + 1\/2. Let h = -15332\/5 + v. Find the common denominator of t and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j - 44. Let k be f(8). Which is the third smallest value? (a) -5 (b) k (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7193 - -7233. Solve -23*s + m = -52 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0*f - 10*f - f + 1266 - 2*f**2 - 1269. Calculate the lowest common multiple of t(-5) and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*g + 196, 0*g - c - 99 = -g. Let p = g - -40. Suppose -7 = 2*h - p. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*g**2 - 436 - 8*g - 15*g**2 + 434 in the form j*g**2 + t*g + q and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:45 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*f**3 - 9\/2*f**2 + 6 + 0*f.\nAnswer: -3*(f - 1)*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*f**3*m**2 - 418*f**3*m - 43*f**2*m**2 + 41*f**2 + 3*f*m**2 wrt m.\nAnswer: 230*f**3 - 86*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1162, 2331, 3510, 4705, 5922, 7167, 8446?\nAnswer: 9765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 4*m - 2. Let p be a(6). Suppose 3*k - 50 = -w + 3, -3*k = -4*w - 28. What is the smallest common multiple of (-584)\/p - (-8)\/28 and k?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/12)\/(6 - 416\/72). Is g greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*t + 5 + 5, 0 = -t + 2*x - 2. Let n = -52 + 52. Suppose 5*v - l - 15 = n, 14 = -3*v - 5*l - 5. Solve k = v*k + t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.005.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 36*u**2 - 7*u**2 - 32*u**2. Let q(m) be the third derivative of -m**4\/8 + 4*m**2. Calculate q(w(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 82*b**2 + 16*b + 89. Is q(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15959.82839 to the nearest 10.\nAnswer: -15960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 103*z = -100*z + 76 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i - 38. Let h be k(-3). Solve 6*r = -r + h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066397 rounded to four decimal places?\nAnswer: 0.0664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 160*i - 444 = 0. Calculate i.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330210 and 37913.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.6 take away 2820318?\nAnswer: -2820339.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1355 + -642. What is the remainder when j is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23735880 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -29, -1\/3, -6, 33 in increasing order.\nAnswer: -29, -6, -1\/3, 0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Suppose 2 = -3*s + b*s. Let l(k) = -k**3 - 3*k**2 - 3*k + 1. Let h be l(-2). Is h <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 11*l + l**3 - 4*l + 0*l**2 + 0 - 8*l**2 + 2. Let g be (0 + -1)*(3 + -10). Let y be u(g). Sort -2, 1, y in ascending order.\nAnswer: -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 12*k = -15. Solve -4*z = 3*q + q + 36, -k = 3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 152\/5567349?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let k = y - 2. Suppose z = -m + 3*z - 3, 5*m - 2*z - 17 = k. Solve 2*c = m*i + 15, 4*i = -c - 4*c + 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*b = -1062*b - 39*b + 8496 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22607, -22360, -22085, -21788, -21475, -21152, -20825, -20500?\nAnswer: -20183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021160794 minus 4479.6?\nAnswer: -3021165273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2220 and 108?\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50459602943 - -5?\nAnswer: -50459602938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:30 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -2) + -2 - (-237 - -54 - -191).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 212333313 (base 4) to base 14\nAnswer: 422d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, e: 1, p: 2, g: 2, h: 7}. Give prob of picking 2 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 960 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l**2 + 26*l**2 - 14*l**2. Determine u(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1580, 22, 87, -4 in descending order.\nAnswer: 87, 22, -4, -1580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3058409 * -0.5\nAnswer: -1529204.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*l**5 + 636480*l**3*x - l**2*x - l*x - 5*l + 28*x + 4245 wrt l?\nAnswer: 1680*l**2 + 3818880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -11\/18 = 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u**2 + 517*u - 1018. Calculate c(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 2*a**2. Let w be f(-2). Let z(l) = -9*l**2 + l**2 + l**3 - 10*l + 1 + w*l**2. Does 4 divide z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1344*i + 10330*i + 4908*i - 104*i.\nAnswer: 13790*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 11 = 2*b + 2*n, -2*b + 4*n + 12 = 0. Solve -b*l + 8 = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**5\/60 + i**4\/6 - i**3\/6 - 20*i**2 - 17. Determine y(10).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 10. Let a(f) = -6*f - 3. Calculate the remainder when a(b) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7312119 by 11.\nAnswer: -7312119\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 5*g. Let w = -57 - -14. Let t = 46 + w. Determine b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -19319.\nAnswer: 3\/19319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.73481 - -1.742. Round b to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 120*t - 2150. Calculate the smallest common multiple of i(-88) and 258.\nAnswer: 28638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984439 is divided by 1017?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33735?\nAnswer: 3, 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69848*k + 32*k**2 + 0 - 1 + 69848*k.\nAnswer: 32*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 1)*(-3 + 1 + 1) + 3 - 4 + 3 - 1 + 8 - 1)*(2*s**2 + 2*s - 3*s + 0*s).\nAnswer: 14*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6699265 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 236 = 58. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*k = -8, 31*w + 2*k = 29*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12077 - -20208. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/120 - k**4\/6 + k**3\/2 - k**2. Let r(g) be the first derivative of x(g). Give r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 3*w**2 + 2*w**2)*(-45 - 83*w + 45).\nAnswer: 166*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/24 + w**3\/2 + 4*w**2. Is a(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-432)\/(-14))\/6)\/(3\/14). What is the highest common factor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 16540*g + 968. Let b(i) = i. Give b(u(v)).\nAnswer: -4*v**2 + 16540*v + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -218 divided by 8\nAnswer: -109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -39*p - 49. Let s be c(-2). Suppose -23*j - 30 = -s*j. Solve 0*r - j*r - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 11*b + 6. Let n be b\/((-22)\/24 - 3\/(-12)). Let t(o) = -5*o**3 - 2*o**2 - 10. What is the remainder when t(n) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.89 + -86.11. Let n = 40 + o. Let q = n + 41. Which is the smallest value? (a) q (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 4*x + 3. Let o be t(2). Let f(r) = r. Give f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 14 - 31 = 0. Let q(j) = -j**3 - 5*j**2 - 2*j - 8. Let v be q(x). What is the tens digit of v\/(-5) + 3856\/40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v + 3 = 0. Let x = -1 - v. Suppose 4*c - 38 = -x*o, 10 + 7 = c - o. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 3. Let f be m(2). Solve f + 1 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041612539?\nAnswer: 11, 3389, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 653526488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 225 - 11?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 342 = -179 - 226 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 32 + 8. Let u = y - 5. Suppose 0 = u*r - 4*r + 8. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62461.699 - -62495. Let f = 33 - h. Let z = -0.29949 - f. What is z rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -818705 or -7368340\/9?\nAnswer: -7368340\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.473 and -439734?\nAnswer: 207994.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 2. Let v = -13 - -21. Solve v*o - 8 = a*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/((-4)\/(-144)). Suppose 0 = 9*d - 5*d - 8. Suppose 45 = 2*q - h, d*q - 3*q = -h - c. What is the remainder when 60 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.55 - 85.55. Sort 5, p, 3 in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/13 - 1229478*m\/13 - 18441720\/13 = 0.\nAnswer: -614724, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 4*j)*(10*j + 63*j - 23*j).\nAnswer: 150*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*-1*(-3 + 5 + -3). Let z(x) = 3 + 4 + x - 2*x + 3. Determine z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*i - 10*i - 20*i to the form f + q*i and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -6.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7039348, 7039420, 7039492, 7039564, 7039636, 7039708?\n\"Answer: 72*x + 7039276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 8. Is (28\/45 - i\/18)*45 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2153, 4, 2, -4, -13, 1, 69 in increasing order.\nAnswer: -2153, -13, -4, 1, 2, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1944 and 119\/96.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2)*18\/(-1554). Let r be 20\/(-50) + (-7666)\/(-2590). Let p = r + n. Is p greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136) + (sqrt(136) - sqrt(136)*-1*1))*6)\/(sqrt(392) - sqrt(392)*-2*3).\nAnswer: 24*sqrt(17)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -33976 < -33991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 20*j + 20*j + 3*j**2 - 3*j**2 + 2*j**3 + j**3 - j**3 + 6*j**3 + (-j**2 - 3*j**2 + 2*j**2)*(-3*j + j + j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/7660832 and 16\/477.\nAnswer: 68947488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2 - -3 - -5) + -4. Suppose 3*x = v*t + 13, -2*t - 1 = 1. Determine i, given that 1\/4*i + 1\/4*i**4 + 0 - 1\/4*i**2 - 1\/4*i**x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from wwghwlghthw.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 4. Let x be h(2). Let i be (x - 8\/4) + (-2)\/(-3). Factor 6 + 4*a + i*a**2.\nAnswer: 2*(a + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5879 - 3546. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 1. Let j be r(1). Suppose 0*o - 5*o + j*v - 26 = 0, -3*o = -4*v + 24. Let b = 5 + o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:58 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*c + 30, h = 2*c - 1 + 7. Let m(r) = -r**2 + 7*r - 2. Let y be m(h). Solve y*z + 10 - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*(-44)\/(-55)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -374011*i**2. Let o(j) = 2*j**2. Determine o(t(v)).\nAnswer: 279768456242*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - b + 14 = c, 5*c = -5*b + 40. Let g(s) = 10488 - 10488 - c*s. Let d(u) = -2*u**2. Determine d(g(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*n - 103*n = 22. Suppose -26*a + n*a + 312 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggaa. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*a + 10 = -0*a, -5*p + a + 14 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.1 - -80. Let u = -8 + z. Put u, 4, -0.3 in decreasing order.\nAnswer: 4, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 3026*s - 175147872\/7.\nAnswer: 2*(s - 5457)*(s + 16048)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**7\/168 - 31*y**6\/24 - 811*y**5\/8 - 24735*y**4\/8 - 91035*y**3\/8 - 132651*y**2\/8 - 836*y. Let c(m) = 0. Calculate m.\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2. Let r(d) be the second derivative of -1\/4*d**4 + 0*d**3 + 0*d**2 - 9*d + 0. Give p(r(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 91834704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Suppose 0 = -3*u + 3*o + 10 + 5, -w*o - 16 = 4*u. Suppose 5*j = -3*d - 8, u = 3*d + 2*j - 3. Solve -10 = 3*c - d*v, 5*v = 5*c - 0*v + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50395 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and -2894895688.\nAnswer: -2894895688.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -57. Let w = b - -32. Let p be (w\/(-108))\/((-1)\/8). Is -0.1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162983.\nAnswer: 349, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence piai when four letters picked without replacement from {l: 1, p: 7, i: 4, a: 2, d: 2}.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 1083 = 57*f - 9*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**2 + 9*x. Let z(r) = 3*r**2 + 2*r. Suppose 4*p - 96 = -60. Determine p*z(c) - 2*a(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 = 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 14. Let d(a) = -1. Suppose 0 = -14*m + 13*m + 2*p + 22, 2*m + 2*p - 62 = 0. Give m*d(i) + 2*x(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210340 and 8060?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6504*z**2. Let w(h) = 177*h**2 - 14. Calculate w(o(i)).\nAnswer: 7487456832*i**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17788 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcjccivccvviqcwv. What is prob of sequence vqjc?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 35. Let i = u + 16. Suppose i*t - 888 = t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2332*f**3 + 5*f**2 + 4*f + 3. Let l(i) = i**3 + 6*i**2 + 6*i + 2. Let b be l(-5). Let y be o(b). Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 65865450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5*z - 4*z)*(0*z**4 + 2*z**4 - 5*z**4) - z**3 + z**3 - 6*z**5.\nAnswer: 15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 8. Let j = 1 + -2. Let d(v) = v - 1. Let k(s) = j*c(s) - 6*d(s). Is 6 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 63*k + 8. Suppose 0 = -0*r - 5*r - 4*l + 19, -2*r + 3 = -3*l. Let m be g(r). Suppose 5*q = -67 + m. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1362628 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d9 - 60324?\nAnswer: -60229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15515, 15249, 15017, 14819?\n\"Answer: 17*y**2 - 317*y + 15815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-575)\/(-483) + 2\/14. What is the fourth smallest value in 4, 7, 5, v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*5\/15*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1710, 447\/65, -4 in ascending order.\nAnswer: -1710, -4, 447\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 2*f + 2. Let h(n) = -3*n - 2*n - 1 + 4*n + n**2. Suppose -w - 9 + 7 = 0. What is w*x(l) - 4*h(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, 0.0891, 0.4 in ascending order.\nAnswer: -0.3, 0.0891, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2699.1329 - -2699. What is u rounded to three decimal places?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5)*5\/(-9). Let i = -28702 + 258322\/9. Determine a so that -u*a**2 + i - 2\/9*a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*o - 5*v, v - 2 = 3. Let m(l) = -3*l**2 + 20*l + 32. Let j be m(o). Let j + 14\/9*t**3 + 0*t + 2*t**4 - 4\/9*t**2 = 0. What is t?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i - 5. Suppose 2*t + 4*f + 0*f = -8, -12 = -3*t + 2*f. Let u be (-9)\/1*(1 - t). Is m(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 0*l**2 - 1\/2*l**4 + 0*l + 0 + 1\/2*l**5 + 0*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {k: 11, u: 5, e: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 702, 2063, 3424?\n\"Answer: 1361*v - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 + (-10)\/(-6). Does 9 divide 16 - ((3 - 7) + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -644, -645, -646?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -32\/3 (b) 0.3 (c) 0.2 (d) -2\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2 - 20832*x + 54246528 = 0. What is x?\nAnswer: 5208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -163880, -329287, -494696, -660107, -825520?\n\"Answer: -c**2 - 165404*c + 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 12120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*-8*(-8)\/(-128).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-2 - (2 - 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-641)\/(-19230))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63744 and 1245.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/((((-2)\/3)\/(-1))\/(5552\/1041))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.901655 to 2 dps.\nAnswer: 38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -512 - -874. Is (-2)\/4*h\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 10235 = -23*t - 4*p, 2047 = t - 5*p. Calculate the highest common divisor of t and 801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405470 + 404984 + b**3 - 810454.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65010795 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -107488 divided by -8?\nAnswer: 13436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4))**(-1\/24)*c**(2\/9)*c**(-7) assuming c is positive.\nAnswer: c**(-1943\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 2*x + 1. Let u be k(1). Suppose 0 = -u*b - 0 + 4. Is 2 + 86 - (-1 + b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.242 + 0.158. Round h to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/2*(182\/14)\/(-13)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -81255?\nAnswer: 81252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c. Let m be j(-1). Suppose -m*h + 4*h = 6. Let k be h - (116\/(-18))\/(-2). What is the closest to -0.1 in k, 1, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c**3 + 3*c**2 + c - 2. Give o(2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14*y. Let b(z) = -4*z. Let f(c) be the third derivative of 5*c**4\/24 - 8*c**2. Let m(p) = 3*b(p) + 2*f(p). Give l(m(u)).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 29, -1, -4, 119 in increasing order.\nAnswer: -29, -4, -1, 29, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kem when three letters picked without replacement from yamjkmje?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/275167 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111 or -112?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-23 + 2) - 23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2)\/2 - -3*(4 - -31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150667*r - 150486*r + 301166*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 20*p**2 - 49*p - 36. Let d be (-17)\/((-68)\/(-24)) + (-1 - 2 - -26). What is l(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 + 174. Suppose 95 = -x*y + 41. Which is the second smallest value? (a) y (b) -2\/9 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 8075804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 5063.\nAnswer: -10\/5063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.842675 grams to nanograms.\nAnswer: 842675000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99911, 99928, 99945, 99962?\nAnswer: 99979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697485193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 12 - 4*r + 18 - 58 - 4*r to v*r + f and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(108)\/sqrt(6))\/(1*sqrt(225) + sqrt(9)) + -5*-3*(3 + 2*sqrt(200)).\nAnswer: 45 + 601*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let k(v) = 8*v. Let i(n) = 2*k(n) + 18*q(n). Let l(u) be the first derivative of -21*u**2\/2 + 28. Calculate i(l(c)).\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -141 - 50 - -33?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.5 (c) 15\/167 (d) 0.07 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j*j**1\/j*j)\/(j\/j**6))**19*(((j**(3\/8)\/j)\/j)\/j**(1\/2))**35 assuming j is positive.\nAnswer: j**(925\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12 + (-9)\/12. Let o = 0 - x. Is (o - (-4 + 1)) + 2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3884941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.9, 1\/3, 4\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413223 - 1?\nAnswer: 413222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90818135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 45. What is the highest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2370060987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 14. Let d = -1 - l. Suppose 3*r + c - 7 = 0, -r - c = -d*c + 3. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 2*y + 30 = 3*c, 0 = 4*c - 4*y + 12. Let k(i) = -6 + 2 + 3. Let v(p) = p + 9. Determine c*k(a) - v(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/13 - 190*b**3\/13 + 5142*b**2\/13 - 33506*b\/13 + 28556\/13 = 0.\nAnswer: -118, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 12:19 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3))**(-18\/7))**(-2\/37))**(1\/5) assuming z is positive.\nAnswer: z**(-108\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10 + 10)\/(-3))\/(34 - 36). Find s such that 0*s + 1\/5*s**3 + 0*s**2 - 1\/5*s**5 + 0 + n*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v - 2*v = 22*v + 1700 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/3 + -2)\/((-12)\/(-396)). Solve u = -3*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**8\/2016 + u**7\/315 + u**6\/240 - 2*u**2. Factor r(f).\nAnswer: f**3*(f + 1)*(f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13263 is divided by 217?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + -63. Let a be (-1)\/4 + (-138)\/y. Let j = -1761\/7 + 252. Put j, a, -0.1 in descending order.\nAnswer: a, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3335 + -24?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**5 - 20*m**4 + 60*m**3 - 10*m**2 - 55*m + 30 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -4 - 1*2. Is -2 + l\/1 + 15 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 8*y**2 - 5*y + 2. Let n(j) = -9*j - 39. Calculate the remainder when x(6) is divided by n(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = -4*n + 6, 16 = -y - 2*n + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 20 = 2*u - 265, 3*n - 9 = 0. What is the greatest common factor of u and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4270592, 4270610, 4270628, 4270646?\n\"Answer: 18*m + 4270574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(8\/6) - (13 - 8). Let m be (-3 - l - 4)*2856\/(-15). Let n = -555 + m. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/584866 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11400\/(-2660) - (-16)\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 + 22*z + 4. Is k(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -325*h + 10. Let p(a) = -609*a + 19. Determine 11*m(b) - 6*p(b).\nAnswer: 79*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-8) - (-4 - (-4500)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1130021 (base 6) to base 10\nAnswer: -58333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-4)\/(-3))*(12 - 14). Suppose 3*m - r*d - 18 = 0, -d + 3*d = 0. Suppose 0 = m*a + a - 910. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p. Let l(m) be the first derivative of -4*m**3 + 8. Calculate l(z(c)).\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -3*z + 309, -3*z - 419 = -4*q. Let i be 182\/q + (-1)\/(-4). Solve 0 = -3*a + 13 + i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 5 + 91 = -32*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2864\/19 + 84191\/570. What is the common denominator of 11\/117 and v?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + p + 54 = 4*n, -5*p - 60 = -5*n. Let y(w) = -5*w**2 + n*w**2 - 3*w**2. Let a(g) = -1. Let q(k) = -k + 5. Let i(o) = 5*a(o) + q(o). What is i(y(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 36 = -28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3770 = 2362. Find the common denominator of -32\/5 and m\/675 - (-5)\/45.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((10\/(-2))\/(-10)). Calculate the highest common factor of n and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10877108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-912)\/32)\/(-19)*2\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.379 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 6*r**2 - 5*r + 3. Let q be m(-5). Let v = -5 - q. Let x(n) = -6407*n**2 - 6*n. Let h be x(v). Round h to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-8)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y - 92238 = 227*y - 869920. What are the prime factors of y?\nAnswer: 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, -4, -1.054473, 1\/6 in descending order.\nAnswer: 2\/3, 1\/6, -1.054473, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - 6*(-1 + sqrt(325))**2) + (6*(2*sqrt(325) + sqrt(325) - sqrt(325)))**2.\nAnswer: 65*sqrt(13) + 44844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.699845 - -0.7. Round m to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(45)\/sqrt(3))\/(sqrt(5) + (sqrt(605) - sqrt(605)*-3))*-2.\nAnswer: 4*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*x - 6140 - 3078 = 13373 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28788376.\nAnswer: 2, 521, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o - 8. Let z(w) = 3*w**2 + 18*w + 9. Let x = -13 + 8. Let j be z(x). What is the remainder when 28 is divided by a(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1) + (1 - 25). Let s = 49 + n. Let z = s + -15. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2*0)\/((-58)\/1276*-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437884765 to the nearest integer?\nAnswer: 20926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19507?\nAnswer: 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:40 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 15.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 2\/3*l**3 + 5 + 0*l**2 + 0*l. Let m(x) = -11*x. What is m(u(n))?\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/37 - 55\/111. Which is the nearest to 2\/3? (a) -2\/13 (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.09 - 32176\nAnswer: -32123.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 5, -4.1, -3, 2 in decreasing order.\nAnswer: 5, 2, -3, -4.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 873\/2 - -3007\/10. Let u = b + -757. Let g = u - -97\/5. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2254 by 20.\nAnswer: -1127\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k - 74. Let j = -2520 - -2534. Give t(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**7\/5040 - q**6\/180 + 29*q**5\/60 + 43*q**2. Let b(u) be the third derivative of s(u). Determine b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61260?\nAnswer: 2, 3, 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 5\/(25\/(-20)). Let d = 58.6 - 59. Which is the nearest to 0.08? (a) d (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-9)\/3 - -2. Suppose -2*a + 3*j + 3 = -0*j, 3*j - 33 = -r*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.05, 2.9, 3\/7, -3, -7363, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55.212 + 55.312. Let d = 2 - 2.05. What is the fourth smallest value in 1, i, -3, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-22))\/(18\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/21)\/(u**(2\/7)\/u) assuming u is positive.\nAnswer: u**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2. Let p(f) = -4*f + 5*f - 2*f + 3*f. Give p(o(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 43, -2750, -2, 4 in ascending order.\nAnswer: -2750, -5, -3, -2, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -657504560 to the nearest one hundred thousand.\nAnswer: -657500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - -9 - 5)*-22. Let l = 58 + -25. Calculate the greatest common divisor of s and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-30))\/(s**(-6\/5)\/s))**(-5\/18) assuming s is positive.\nAnswer: s**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 h when three letters picked without replacement from {h: 1, f: 5, a: 2, p: 6, e: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 474176 divided by -956\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/4 + 179*a**4\/2 - 38337*a**3\/4 + 398502*a**2 - 5694624*a = 0. Calculate a.\nAnswer: 0, 39, 72, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4552 - -487. What are the prime factors of y?\nAnswer: 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45944134, 45944133, 45944132, 45944131?\n\"Answer: -g + 45944135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/2)\/(6\/8). Let v(t) = 3*t**2 + 37*t - 236. Let n be v(-17). Solve 2*z = n*y, 2*y + r = -3*z + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(18)\/sqrt(6) + 6*(sqrt(3) + sqrt(108)))**2.\nAnswer: 5547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*c = -18, 6163*o - 5*c = 6172*o + 193 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:49 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1805, -1452, -1097, -740, -381?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/53 in -1, 0.3, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 63. What is the second derivative of 0*m - s*m**4 + 61*m**4 + 4*m wrt m?\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 936.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23c + 0?\nAnswer: 23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215304613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 244131321 (base 5) to base 13\nAnswer: 318872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 9 = -12*l. Let c = l - -15. What is the remainder when 94 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.007? (a) 0.5 (b) 2 (c) 3 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*1\/5)\/(237\/(-1659)*(-2)\/8).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72518828 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - d + 3*d)*(-d**3 + 0*d**3 + 0*d**3) - 17571 + 1166*d**4 + 17571 in the form m*d**2 + r*d + i + p*d**4 + k*d**3 and give p.\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/(-406) + 541\/(-217) + 2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41428261 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 77 = 3*f, -7*f = 1579*z - 1609*z - 607 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 120\/96 + 717*(-5)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -0.3. Let l = 53 - 54. What is the nearest to 1\/3 in i, 5, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7112165 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.105 - -10. Let w = f + 4.685. What is w rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12081 - 5?\nAnswer: 12075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203270120.\nAnswer: 2, 5, 1019, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 + 44537059190?\nAnswer: 44537059064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 3*t + 5*t)*(1 + 3 - 2) - 9139*t + 0 + 9095*t + 2.\nAnswer: -48*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 + 2*u + 2. Let z be k(-2). Suppose 3205 = -13*l + z*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0763 minus 8?\nAnswer: -8.0763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 412417177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwcwcsmwwsm. What is prob of sequence cws?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710 = 5*c + b - 6*b, 3*b - 408 = -3*c. What are the prime factors of c?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3401202 + 1310?\nAnswer: -3344342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 1. Let h(m) = -3*m + 49. Let t(f) = 2*f - 35. Let c(j) = 5*h(j) + 7*t(j). Let z = 3 + -2. Give z*q(b) - 2*c(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.971 + -0.029. Which is the third biggest value? (a) -0.1 (b) g (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-87)\/2)\/(((-39)\/4)\/13). Let d be t\/(-145)*((-32)\/22 + 1). What is the closest to 0 in 3, d, -1.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 291. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 2:03 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 707598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 2*f + 4. Let j be w(-6). Let k = -36 - j. Suppose -k*b - 2*b = -400. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 132 = 10*x. Solve -x*o + 17*o + 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.79 + 0.14. Let q = x + 0.07. What is the second biggest value in -5\/3, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -37977 + 18989 + 74*h + 18987. Let s(c) = 4*c**2. Determine s(g(p)).\nAnswer: 21904*p**2 - 592*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1995\/304)\/(-21)*184\/(-115). Find v, given that -g*v**3 + 2 + 2*v - 1\/2*v**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2432011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9351, 14179, 19007, 23835?\nAnswer: 28663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0253 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 42.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/((k**6*k)\/k)))\/k**(8\/9)*k*k**(-1\/2)*k*(k*k**3)\/k assuming k is positive.\nAnswer: k**(155\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**2 + 549*a + 147332. What is b(209)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {a: 8, x: 4, i: 2, y: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1 + 0*l + 0*l + 0*l + 6*l**2. Let i = 247 - 248. Determine m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 190, 361, 518, 655, 766?\n\"Answer: -u**3 - u**2 + 181*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 360 + 232. Let a = c + -297. Let b = 1787\/12 + a. Sort b, -1\/4, 2\/17 in decreasing order.\nAnswer: 2\/17, b, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548465?\nAnswer: 5, 43, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -684.25 - -684.2. Which is the nearest to s? (a) 4 (b) 1\/2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 37287 - 37267 = 0. Suppose j + 0*j - 98 = 0. Which is bigger: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798056058 a multiple of 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/11 (c) 0 (d) 3.792 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 106*b**3\/3 + 140*b**2 + 136*b - 16\/3 = 0.\nAnswer: -2, 2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaahah. What is prob of sequence aaah?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1 + 2*d - 886*d**2 + 888*d**2 + 5 + 0 - 2. Let k be h(0). Let 1\/8*u**3 - 1\/8*u + 1\/4 - 1\/4*u**k = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 5*y - 8. Determine o(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 + 6*s**2 + 4*s + 1. Let v(f) = 14*f**3 - 17*f**2 - 11*f - 4. Let j(t) = -17*c(t) - 6*v(t). Let m be j(0). Put m, 3, 4 in descending order.\nAnswer: m, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64722 + 32362 - 295*a**2 + 32360 - a.\nAnswer: -295*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19875*y = -19895*y + 100 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5133761.\nAnswer: 23, 223207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 83\/3. Let a be (40\/70)\/(2\/14). Let v = 11872 + -11871.5. What is the third biggest value in v, t, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172296178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*682\/(-6) + (-24)\/(-72). Let t = p + -49. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -40 (b) -4 (c) -21241 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, e: 2}. What is prob of sequence iiii?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 + 19*i**3 - 53*i**3 + 11*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (-6 + (-14 + 23 - 23 - 30)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 5 - (5 - 2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 7*u - 145 = 0. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4257.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 132627577?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 44078045 to the nearest 10000.\nAnswer: 44080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.0929 - -3.1. What is h rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 2836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/27)*s*s**(-1\/8)\/s)**(-38\/5) assuming s is positive.\nAnswer: s**(133\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 117 - a - 63 as g*a + b and give b.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.162265ng to kilograms.\nAnswer: 0.000000000002162265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 - 5*h**2 - 5. Let r(i) = i**3 + i**2 + 1. What is j(d) + 5*r(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11 - -22) + 1 + -20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15530000 to the nearest 100000.\nAnswer: -15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v + 10429 - 30*v + 45*v.\nAnswer: -9*v + 10429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 33*o**3 - 2*o**2 - o + 2. Calculate the lowest common multiple of y(1) and 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26690 * 0.1\nAnswer: -2669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0*j**2 + 1\/42*j**7 + 0 + 1\/20*j**6 + 0*j**3 + 0*j**5 - 1\/24*j**4 - 7*j. Find v such that r(v) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100212 - 1002?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189.0474 rounded to 0 decimal places?\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 greater than or equal to 581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 81. Let k(r) = b*r + 4*r + 3*r**2 - 18*r + 3*r. Let w(q) = -q**2. Calculate k(w(s)).\nAnswer: 3*s**4 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14948*y**4 + 262246*y**2.\nAnswer: -358752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + -11.6. Let f = -1.614 - 0.386. Which is the nearest to w? (a) f (b) -2\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3251526*m**2*v - 44*m**2 + 6*m - 2258 wrt v.\nAnswer: -3251526*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 906\/(-60) - -9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/6 and 117\/17090.\nAnswer: 51270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159962 and 6534.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0002 - 321.\nAnswer: -321.0002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13163768, -13163770, -13163772, -13163774, -13163776?\n\"Answer: -2*c - 13163766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - r**3 + r**3)*(1 + 2 + 1)*(-3 + 0 + 2)*(-2 - 1 + 2).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:58 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = -4*o - 3*x, 4*o - 24 = 4*x. Let l(m) = -3*m**2 + 7*m**o - 5*m**2. Let a(k) = 4*k. Determine a(l(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 802236439 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 68, 106?\n\"Answer: 38*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 310\/310*(-2)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 5*i + 24. Suppose -4*c + 103 = 5*n, -3*n - c = -5*c - 49. Calculate the remainder when n is divided by t(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5\/2 + 303402*x**4 - 1820376*x**3 + 3640728*x**2 - 2427144*x.\nAnswer: -3*x*(x - 202262)*(x - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c - 89. Let y(d) = d + 15. Let j(o) = -6*u(o) - 34*y(o). Suppose -18*z = -34*z - 160. Let a be j(z). Solve -a*w = 4, 2*n - 15 = 7*n - 5*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c - 2. Let b(g) = -135*g + 45. Give b(n) + 12*r(n).\nAnswer: -27*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 14 (b) 3 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -1153 - 692. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = 2*t - 846, i + t = 212. Suppose -4*y - 581 + i = 2*k, -375 = 4*y + k. Let u = -83 - y. Calculate the least common multiple of 3 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 14. Let a(k) = -22*k - 2. List the prime factors of a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425) + 2)*6.\nAnswer: 6 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 6*x - 3. Let y(p) = -p**2 + 3*p + 2. Let i be y(4). Let u be k(i). Let r(j) = -2*j - 1. Calculate r(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 12:40 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*b**3 - 122*b**2 - 76*b + 32.\nAnswer: -2*(b + 1)*(b + 8)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1997484 and 68413827?\nAnswer: 273655308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6048160 divided by 2936?\nAnswer: -2060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 - 3 = 0. Suppose 2*t + 4 = -q*c, -3*c + 4 = -t - 7. Suppose j + c*j = -3. What is the third smallest value in -0.4, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 3*l - 9, -2*l = 5*h - 6. Let v(f) = -f + 6. Calculate the lowest common multiple of v(h) and ((-5141)\/(-159) + -35)\/((-8)\/30).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u - 27*u - 872 = 2*o, -5*u = -4*o - 2181. Let h = 465 - u. Let y(f) = -4*f**2 - 14*f. Let t(m) = m**2 + 3*m. What is h*t(c) + 6*y(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16569931?\nAnswer: 7, 89, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -4 in decreasing order.\nAnswer: -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517\/1239 + 2\/177. Let v = 963 - 963. What is the closest to v in 4, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 4, 2\/5, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (117\/546)\/(12\/14)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.037 + 2.923. Let q = -2.8 + r. Let i = -0.15929 + q. Round i to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7223\/11317 + -207832307\/25327446. Let q = l + 4\/373. Find the common denominator of (-283)\/(-6) - (-2)\/(-3) and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155365282 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -4436\/7, 1\/2, -8.5, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000048813272 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l**2 + 0*l**2 - 2*l**2)*(3 + 6 - 5)*(-5*l + l + l).\nAnswer: -24*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53029040, -53029038, -53029036, -53029034?\nAnswer: -53029032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:25 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 32*g - 28. Let p(u) = -u - 1. Let z(m) = -m - 2. Let h(i) = -3*p(i) + 2*z(i). Calculate 56*h(d) - 2*k(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -262203 + 0?\nAnswer: -262203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4124440014 (base 5) in base 9?\nAnswer: 16778205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-21)*((-21)\/18)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Suppose 3*w + 3*r = 3, 3*r - 2 = -2*w + 2. Let u be h(w). Let j = u - -15. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -3*u + 4*u - 49 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1480 divide 9698440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-14)*(9 - (-515)\/(-45)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36882832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 7974*j**4\/17 + 21238*j**3\/17 + 15870*j**2\/17 - 78*j\/17 - 2684\/17 = 0. Calculate j.\nAnswer: -1, 1342\/3987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let o(j) = 25*j + 51. Let v(b) = 9*b + 18. Let f(u) = -6*o(u) + 17*v(u). Give f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 2579*w - 292750. Give c(-119).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let t = 37 + -29. Let b be (8\/20)\/(-5 + 152\/40). What is the third biggest value in t, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -14. Suppose 0 = -q*h + 3*h + 9. Suppose 4*n - 32 - 92 = -5*g, -h*n = -4*g + 124. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:14 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1484, 2969, 4454, 5939?\n\"Answer: 1485*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(sqrt(567) + 0) + -4 + -1 + sqrt(567) + sqrt(567))**2 + 3 + -1.\nAnswer: -288*sqrt(7) + 36294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 685889 by -9.\nAnswer: -685889\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 37. Let b(x) = -x - 37. What is 3*b(m) - 2*p(m)?\nAnswer: -5*m - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j. Let d(h) = 4*h - 6. Let s be d(2). Let p(f) = -1211*f**2 + 605*f**s + 605*f**2. What is p(v(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10829891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 38. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-320)\/(-15))\/(10\/(-45)). List the prime factors of (j\/15)\/((-1)\/(-55)).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3\/3 - 3*w**2 + 4*w - 10. Let g be x(-5). Let q be (11 - g)*1\/2. Solve q - 5 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*p + 84, 0 = -4*d - 0*d - 2*p + 72. Suppose -2*m - d = 5*c, -3*c - c - 11 = 3*m. Suppose s - 7 = -y - 2*y, m*y + 4*s = 1. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45d32 (base 16) to base 2.\nAnswer: -1000101110100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31195 and 8448340?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vorwarrrovorarraroa. What is prob of sequence vav?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*z - 3. Suppose 0 = k + k. Suppose -83*y - 282 = 70*y + 177. Sort y, 1, k, z in descending order.\nAnswer: z, 1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03484652 + 3980.\nAnswer: 3979.96515348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 5*t + 3. Let j be n(3). Suppose 0 = 5*i - 2*i + j. Let d = i + 7. Solve -d*f - 6 - 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34154 is divided by 11367?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -17*s**4\/24 - s**3 - 33*s**2\/2 + 3*s + 4. Let f(h) be the first derivative of n(h). Differentiate f(t) wrt t.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426082*s**6 - 10*s**5 + 141808*s**2 - 20?\nAnswer: -51129840*s**3 - 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d. Let c be q(3). Suppose 4*x = -8 + c. Let f = -4 + x. Is f bigger than -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 7*b**2 + 4*b - 2. Let u(p) = -p**3 + 6*p**2 - 3*p + 2. Let i(c) = -5*u(c) - 4*v(c). Determine i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 948 + -458. Suppose m = 3*s - s. Suppose -5*v = -0*v - s. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*r = -1430, -p + 4*r + 716 = r. Suppose 0 = f - 3*j - 136, -5*f - j + 5*j = -p. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9715*-0.07.\nAnswer: 680.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*112.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 1421*b**2 + 515299*b - 7413135.\nAnswer: (b - 703)**2*(b - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 0 + sqrt(405) - (sqrt(45)\/sqrt(3))\/sqrt(3))**2.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57863, 57862, 57861, 57860, 57859, 57858?\n\"Answer: -n + 57864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*p + 163 = -27, 0 = -2*z + 5*p - 165 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z - 1 - 1 - 2 + z**2. Let m be b(6). Suppose -2*u + 30 = m*o, 4*o = o - 5*u + 41. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 7, 4, -6, 1227, 3 in increasing order.\nAnswer: -13, -6, 3, 4, 7, 1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 476\/30 - (-10)\/(-75)*-1. Is 1748\/2 - -10*(-8)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326\/3 + -108. Let l be (2 + (-246)\/126)\/((-1)\/6). What is the nearest to 1 in -4\/5, -0.4, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49205 and 3044 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammrmmrmrrmrirm. What is prob of sequence mm?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + -5 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Let h = 0.96 - -0.04. Which is the nearest to h? (a) -5 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 396 = 239. What is the remainder when a is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {v: 7, m: 3, g: 3, h: 3, d: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21600501 (base 8) to base 2.\nAnswer: 10001110000000101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*u**3 - 1171*u**2 + 429*u**3 - 371*u**2 - 106*u**2 - 217*u**3.\nAnswer: u**3 - 1648*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953583.\nAnswer: 3, 47, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220827 is divided by 138?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 10)*(-2770*p - 8362*p - 10680*p - 309*p + 1950*p + 2730*p).\nAnswer: 52323*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4*q - 2*q - 76 + 152.\nAnswer: 2*q + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353367?\nAnswer: 3, 7, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 24. Let o = -20 - t. Let y = o + 0.5. What is the closest to 2\/41 in 0, y, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 909*v + 2*w = 913*v - 6, 0 = 5*w + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/97 (b) -1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4860132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*v**5 - 276*v wrt v?\nAnswer: 5120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + -7)*3\/((-9)\/51). Let s be (p\/4)\/(10\/40). Which is smaller: s or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 4*m - 4*m. Let s(a) = 8*a. Determine h(s(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 (base 6) in base 11?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 12 - (14 + -16 + (-8 - -12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.288431.\nAnswer: -1.153724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 152\/5, -106269, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2507 and 510556.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 50 = -2*v, 0 = -2*i + 4*i + 3*v - 31. Suppose i*m = -2*m + 41119. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99.7 - 99. Let f = -0.6 + o. What is the nearest to f in 2\/9, 8\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 - 92. Suppose -o = -k - k. Let d = 9 + k. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79153510 or -79153511?\nAnswer: -79153511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -183, -411, -731?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -430 + 486. Suppose 2*b = -2 + r. What is the highest common factor of b and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3669207 and 33303.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 - -0.7. Let x = -223.15 - -218. Let i = x - -0.15. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-6))\/(6\/(-9)). Let t(y) = -y**3 + 6*y**2 + 8*y + 4. What is the tens digit of t(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 239*f + 5407. Give t(260).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 7*v - 11*v. Let i be 63 + (4 - (3 - 2)). Suppose -q + 3*q = i. Calculate the remainder when q is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = 4*o, -2*s - 3 = 3*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**2 + 0 + 4\/3*x**3 + 78*x - 2\/3*x**4 - 1\/10*x**5. What is the second derivative of f(g) wrt g?\nAnswer: -12*g - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-12) - ((-1056090)\/(-40))\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 + 488 = -37*j + 207 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 17 + 2*c - 2*c**2 + 7 - 5*c**4 to h + z*c**3 + n*c**4 + a*c**2 + x*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/8969765 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1106 + -1105. Which is bigger: 4\/523 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 10:19 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -20*q - 13. Let t(a) = 30*a + 20. Suppose -2*u = u - 30. Suppose -6 - u = 2*y. Let i(j) = y*r(j) - 5*t(j). What is the derivative of i(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*12\/(-2) + (-6 - -1355).\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-84)*-24*(-2)\/(-20))\/(252\/120)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 5 (c) 12 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r*(r*r*r\/(r**7\/r*r)*r)\/r*r)\/r)\/r)**(-1\/97))**44 assuming r is positive.\nAnswer: r**(132\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 463870 by -92774.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 6 + 33 = 0. Suppose -152 = -4*b - 2*l, 3*l + l = d*b - 103. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242480 divided by 60620?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 152*s + 916. Let x be h(-6). Suppose m + 5*d - 17 = 5, -14 = -2*m - 4*d. Sort -80, x, m in descending order.\nAnswer: x, m, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172\/18915 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - i + 972 + 29231 = 0, 4*k - 2*i - 24154 = 0. Let g be k*((-7)\/2 - -1). What is g rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/7 + 139*s**3\/7 - 1486*s**2\/7 - 2976*s\/7 + 1152\/7 = 0. What is s?\nAnswer: -2, 1\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 889 - 877. Suppose -5*u + h*v + 6635 = 0, 7*v - 6630 = -5*u + 11*v. What are the prime factors of u?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 1 - (557 - 588).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190943 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5838 divided by -973?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 - 7*n + 7. Let a be (-7 + 91\/14)\/(2\/16). Let i be x(a). Suppose -3*m + m + 2*y = -54, 2*m - i*y = 59. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 5*u + 1. Let f be s(-3). What is the second derivative of -40*j**2 + 37*j**2 - f*j**4 + 59*j + 4*j**4 wrt j?\nAnswer: -252*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 0, -71963, 9 in decreasing order.\nAnswer: 11, 9, 1, 0, -71963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:52 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f + 411 + 422 + 411 - 1244.\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -21*f**2 + 2*f - 3. Let y(p) = 43*p**2 - 4*p + 6. Give -5*w(v) - 2*y(v).\nAnswer: 19*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 136*b**2 - 143*b**2 + 284*b**2.\nAnswer: 5*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -71, -176, -343, -584, -911, -1336, -1871?\nAnswer: -2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 7*n + 5. Let o be u(-3). List the prime factors of o\/(-3)*1*(-3294)\/72.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298598821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)*s**(-6\/5)*s**(-8\/5)\/(s\/(s\/(s**(-25)\/s))))**(-15) assuming s is positive.\nAnswer: s**(-1377\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 29 = 241. Let n be (k\/(-5) - -5) + (2 - -1). Let t be 2\/40*-1*2. Which is bigger: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/14 and -17\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*i + 2, 0 = 4*d + 5*i - 43. What is the highest common factor of 35 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 426 - -7634. Round k to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:52 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 600 = -16*g. Solve -5*s - 2*w + 0*w + 10 = 0, -5*w = -g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354\/35 + -75\/7. Let m = -296 + 353. Suppose 13 - m = 22*k. Which is the second smallest value? (a) k (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22*-184664\nAnswer: 4062608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*t**4 + 29*b*t**2 - 214969*b*t + 10334*t**3 - 6 wrt t?\nAnswer: -36*b*t**2 + 58*b + 62004*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -303?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 4888?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(45) + (5*sqrt(90)\/sqrt(2))**2) - (sqrt(315)\/sqrt(7) + -1)) + 5 + (-1*sqrt(50)\/(sqrt(120)\/sqrt(48)))**2.\nAnswer: -1099 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16212 + -16209. Let t(g) be the second derivative of 14*g + 0*g**2 - 7\/6*g**4 + 0 + 0*g**y. Let c(n) = n**2. Give c(t(j)).\nAnswer: 196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3289, 3287, 3285, 3283?\nAnswer: 3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105.84 + -108. Let w = -0.24 + j. Let c = w + 1. Round c to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 3*j**3 + 2 + 69*j + 0*j**2 - 69*j - 5*j**4 as v*j**2 + a + y*j + c*j**4 + n*j**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3589*v + 51 = -3591*v + 3*s, v = 4*s - 38 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -15*h**3 + 5*h**2 - 22*h + 7. Give o(2).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3487 - -5352. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -4) + -7 + 0 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0033 + 30339157\nAnswer: 30339156.9967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, 0, -3 in ascending order.\nAnswer: -267, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1737*g - 138 = -1730*g - 3*n, -3*g = -2*n + 62 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 7*o**2 - 3*o**2 + 3*o**2 - 7*o**2 + 3*o**2 + (0 + 0 - 2)*(-3 + 3 + 2*o**2) + 3*o + 2*o**2 - 3*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*a + 4*b, -a - 108466 = -2*b - 108479 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-1 - (-1 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 287, 433?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m - m - m. Let u(o) = 1239*o - 1238*o - 1 + 1. What is y(u(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 5*z + 2. Let i = -339 - -340. Let h be i\/((-26)\/(-8) + -3). Determine x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -75, -82, -91, -102?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 - (-2 + 1) - (23 - 52)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, 5*u - 4*z + 0 = 28. Let m be (-4)\/14 - 5388\/(-42). Suppose -5*y = -u*a + m, 3*a + 4*y + 64 = 5*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.059 and 111225.\nAnswer: -6562.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 1. Suppose 3*p - 60 = -5*r, -4*p + r = i*r - 85. What is the remainder when 72 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*p + 34, -93*d + p - 32 = -88*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7967*g + 250557 + 521199 = 190165 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 1. Let v(f) = -8 + 29*f**2 - f + 21*f**2 - 42*f**2. Calculate -5*a(m) - v(m).\nAnswer: -3*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 12*d - 4635 = 0. Let y = d + 434. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p*p*p*p**(1\/6))\/(p\/p**(-4\/9)*p**10) assuming p is positive.\nAnswer: p**(-275\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -30*s - 9. Let q be t(-1). Let h be 3\/6*(27\/6 + -4). Which is the closest to h? (a) 0.4 (b) q (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/180 - 2*y**5\/15 - 7*y**4\/12 + 98*y**3\/9 + 47*y**2. Let b(i) = 0. Calculate i.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-4)\/(-6)*11\/(110\/(-15)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14500081 - -14500081.13199931. Let y = -0.132 + f. Round y to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -192 + 162b?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + 5. Let o(n) = -1. Let c(i) = m(i) - 2*o(i). Let j be c(1). Solve -4*q + 8 = -3*h, 5*h + 15 = 3*q + j*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 460571, 5, -2\/9.\nAnswer: -2\/9, 1\/4, 5, 460571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 110916 = 19*d. What are the prime factors of d?\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:45 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2. Let d(o) = 110 + 201 + 148 + 169*o - 168*o. Determine d(m(g)).\nAnswer: -g**2 + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*u = -16, -b + 5*u + 6 = -18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -209*q + 0*q**3 + 0 - 50\/3*q**4 - 41\/2*q**2. Differentiate h(r) with respect to r.\nAnswer: -400*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.0007 - -0.0193. Let b = a - 7. Let j = 0.02000064 - b. What is j rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a - 59. Let b be p(26). Let q = b + 694. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 2 (c) 114 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176352000 rounded to the nearest 1000000?\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -16464 >= -4817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -52, 619, -3, -5 in ascending order.\nAnswer: -52, -5, -3, -2, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - -4 - 4 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/7 - 7731*k**4\/7 - 131061*k**3 - 30376209*k**2\/7 - 210950388*k\/7 - 181483872\/7 = 0.\nAnswer: -53, -8, -1, 2692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 20, 2*o + 3*a = 120. What is the derivative of 101*l**3 + 19 - o*l**3 - 27*l**3 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51024179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*(-40)\/6. Solve -4*j = -2*w - 3*j, -4*w + m = 3*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1864\/47041 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 55471.\nAnswer: -20\/55471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -1346, -3263, -5946, -9395, -13610, -18591?\nAnswer: -24338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.343 and 0.4934?\nAnswer: 0.6626362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:13 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.42103 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426930 and 31076?\nAnswer: 6633638340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8 - -9)*1)\/((-1)\/(-5)). Suppose -v*h = 449 - 2199. Is 50 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnhh when four letters picked without replacement from {h: 2, n: 3, m: 2, x: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(250) - sqrt(22))\/(sqrt(891) - -3*sqrt(891)) - (2 + 4 + sqrt(392)*-2)**2.\nAnswer: -1604 + 15119*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g. Suppose 5*l - l = g. Suppose l = 4*a + a - 80. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**3\/3 - 11*x**2\/2 - 28*x - 1131. What is q(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 + -2100?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 334327375 - 1?\nAnswer: 334327374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1315 + -1310. Let a(f) = -11*f + 2. Let c(q) = 12*q - 2. Calculate k*a(l) + 4*c(l).\nAnswer: -7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -19. Suppose b*p - 57 = 7. Suppose -2*x - p = -10*x. Sort 4, x, -3, 6 in descending order.\nAnswer: 6, 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7770209 - -0.1041.\nAnswer: -7770208.8959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14 = 2*f - 0, 5*n - 5*f = 25. Suppose k - 235 = -n*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -287 + 301. Let v be (-42)\/h*69\/(-9) - 2. Which is smaller: 23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444328753*y**4 + 5*y + 1848117.\nAnswer: -5331945036*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 2*p + 6*p - 4 to c*p + o and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39282078*q**2 - 15*q**3 + 3*q**3 + 39282078*q**2 - 8*q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 + 2*p - 3. Let t be -10*(36\/(-15) - -2). Give n(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 - 144 = 22*s + 122 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + j**2 + j. Let y be w(-2). Let z(m) = -m**3 - 5*m**2 + 3*m - 8. What is the remainder when 28 is divided by z(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8837 divided by 1?\nAnswer: -8837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:11 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1642 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 3, p: 2}. Give prob of picking 1 p and 1 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1625.61 and 15.\nAnswer: 24384.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.6. Let q be -8 + (-685)\/(-70) - (-6)\/(-4). Suppose 5*z - 2*t - 3 = -2, 0 = -3*t + 6. Which is the nearest to z? (a) 0.1 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 819 - 819 + x.\nAnswer: 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*s - 21 = 0, 4*w - 54*s = 8*w - 20*s - 186 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16042, -32097, -48150, -64201, -80250, -96297, -112342?\nAnswer: -128385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-15)\/20) - -6. Suppose 0 = 3*o - t*f - f - 444, 0 = -f. Suppose 4*r = -4*x + o, 2*x = 3*r - 3*x - 119. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*a + 250, -3*v + 4*v + a = 52. Let w = -9 + v. Let p = 114 - w. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -125*r**2 - 4*r - 2. Let n(z) = 125*z**2 + 5*z + 2. Calculate 5*i(f) + 4*n(f).\nAnswer: -125*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156611381, 313222764, 469834147, 626445530?\nAnswer: 783056913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 84625.36?\nAnswer: 84619.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2596 - 7790\/3. Let y = -3 - -2. Which is the third smallest value? (a) -2 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (71\/(-994))\/((-1*2)\/(-8)). Let g = -12 + 51\/4. Sort q, -3\/11, g in ascending order.\nAnswer: q, -3\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10449197?\nAnswer: 11, 86357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 14}. Give prob of picking 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1382598844 and 4568.\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + 752\/5. Which is the closest to 1\/2? (a) g (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*2528\/(-790)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (215 - -5)*(-3)\/((-30)\/(-4)). Let q = 88 + k. Solve -2*s + 4*x + 8 + 8 = q, s + 3*x + 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 1588*w**2\/3 - 595765*w\/3 + 9299150.\nAnswer: -(w - 42)*(w + 815)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8634.47697112 + 0.31723112. Let n = -8645.16 - i. Let q = 11 + n. What is q rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dssddzd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**8\/1680 + s**4\/12 - s**3\/6 - 2*s. Let f(a) be the second derivative of q(a). What is the derivative of f(d) wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8305 is divided by 755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-2)*8\/330*(-490)\/49. Let h be ((-3 - -3)\/3)\/(-1). Suppose h = -5*g - 2*o - 14, -2*o + 1 = -g + 3. Is g not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k - 8*k**2 + 22*k - 15*k**2 + 22*k + 20*k + 37*k**2.\nAnswer: 14*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 14*p**2 + 13*p + 4. Let w be k(13). Calculate the lowest common multiple of (-2982)\/(-54) + -1 + w\/(-18) and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (114\/1064*2\/(-66))\/((18\/(-3))\/24)?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - a**3 - a**3 + (109 - 3 + 134)*(-3*a + 5 - 5)*(2*a**2 + 3 - 3*a**2 - 2).\nAnswer: 717*a**3 - 720*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*h + 32*h - 4162 = -102*h + 16187 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {b: 5, w: 5, f: 1, e: 1, u: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) -3\/4 (c) -0.04 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqy when three letters picked without replacement from qcccqycyy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzpfppjpuqqqzq. Give prob of picking 2 p, 1 u, and 1 j.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19887 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-3 - -2 - -5). Suppose -m - 9 = -4*p, 2*m - p = -7 - s. Let b = -290 + 294. Put -4, m, b in decreasing order.\nAnswer: b, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**3 - m**2 - m. Let c be d(-1). Let u be ((-8)\/(96\/20))\/(-15) - 128\/18. Is u equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 6 = -5*k. Suppose -5*q = -k - 0. Let y be -10*1\/q*-1. Solve 4*f - y = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3071, 12246, 27537, 48944, 76467, 110106, 149861?\n\"Answer: 3058*z**2 + z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkllllllllll. Give prob of sequence kklk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 18297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -58) + -10 - 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**4 - 18*l**3 - 95 wrt l?\nAnswer: -8*l**3 - 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/5 (b) -4 (c) 1\/4 (d) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + 3*o)*(o + 0*o + o) - 16 - 45 + 60*o**2 + 37.\nAnswer: 62*o**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:50 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*j = -2*j - 2, -4*m - j = 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/9 (b) 2\/5 (c) 4\/4989 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 2*l**3\/3 - l**2 + 7*l. Let p be 1 + 1\/((-2)\/(-4)). List the prime factors of k(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 13. Determine j(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k, -3*m + 9 = k + k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*y + 28 = -692*y - 3*r, -60 = 5*y + 5*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (0\/(-3))\/2. Suppose 2*d - 2 = -0*d, 3*t + 2*d - 17 = o. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4838 + -4823.935. Let q = 15.4 + -1.4. Let m = q - g. Round m to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**4\/24 + 4*m**2. Let j be g(-3). Suppose j*n = n + 358. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 136314?\nAnswer: 681570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 49)*(-1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32417, 64922, 97477, 130082?\n\"Answer: 25*n**2 + 32430*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 28*u**3 + 7*u**2 + 146*u - 5. Let p(k) = -42*k**3 - 10*k**2 - 227*k + 7. Determine -10*j(l) - 7*p(l).\nAnswer: 14*l**3 + 129*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 4*m**3 + 6019883*m**4 + 10*m**3 - 6019879*m**4 - 6*m**2 to the form i*m**3 + r*m + k*m**2 + w*m**4 + f and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - sqrt(147)*-2)**2 + (-4*sqrt(3) + -5)**2.\nAnswer: 40*sqrt(3) + 1396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5\/4 + 65275*z**4\/2 - 261075*z**3\/2 + 195800*z**2 - 522125*z\/4 + 65265\/2.\nAnswer: -5*(z - 26106)*(z - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p - 2 = -2*h, 2*h + 10 = 4*p. Let g be h + 2 - (1 - 2). Factor 3*x - 3*x**3 + 0*x - g*x - x**4 + x**2 + 2*x**5.\nAnswer: x*(x - 1)**2*(x + 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 4551 = -1521. Let k = 2610 - h. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -722 by -1.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - 3 - (0 + 7\/2). What is the second biggest value in v, -1, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = -110. Let q be 4\/l - 96\/44. Let y = 5.8 + -0.8. Which is the third biggest value? (a) -5\/2 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3138.882mm?\nAnswer: 3138882000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 397572.7 litres in millilitres?\nAnswer: 397572700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2652*a**3*r - 348*a**3 + 11*a**2*r + a**2 + 785*a*r - 5*a + 1030*r + 2 wrt a?\nAnswer: 15912*a*r - 2088*a + 22*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171*n**4 + 111 wrt n?\nAnswer: -684*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 + b**2 + 67*b - 50*b - 17*b + 12*b**3 to m*b + i*b**2 + h*b**3 + n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6158729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1803636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790908?\nAnswer: 2, 3, 17, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7234, 14601, 22100, 29731, 37494, 45389?\n\"Answer: 66*d**2 + 7169*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 0.3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263.269 centimeters in kilometers?\nAnswer: 0.02263269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 289949521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 66*n - 409. Give b(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 1\/6, -4 in increasing order.\nAnswer: -118, -4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 65. Suppose 5*q - c = -3*w - 13, -q - 20 = -5*w. Suppose w*v = 16 - 6. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 17*p - 52 = -106 + 172, -2*j = 3*p - 12 - 6 - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-26)\/(q**(-20)*q)*(q**16*q)\/(q\/(q\/(q*q*q\/(q**(-6)\/q)*q))*q*q) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 - -114. Let f be ((-3)\/(-4))\/((-33)\/y). Solve -9 = 4*l + 3*s + f, 0 = 4*l + 4*s + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 6*o + 3. Calculate f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9. Let z(s) = -s - 9. Let l(t) = 4*q(t) + 5*z(t). Let o be l(-6). Calculate the highest common divisor of o and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 1. Let v = 4 - 4. Let f = v + -1. Calculate k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -58. Let t = -20 + d. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/2 (b) -10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 46888 = 4*g, 234503 = -5*n - g. Round n to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*m + 13, 3*m + 10*r - 7*r = 30. Let h(d) = -d**2 + 14*d - 10. Determine h(m).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x - 4*x + x + (0 - 3 + 5)*(-4*x - x + 2*x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 14. Let y be a(6). Let h(i) = 3*i + y*i - 3*i + 5*i. Let n(d) = d. Give h(n(c)).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/12*1257120\/116400?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2631 + 2608 + -20 + 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 3)*(1 + x - 1)*(-4 + 5 + 0)*(-120 + 120 - 16*x)*(-5 + 2 + 2) to the form z + b*x**2 + l*x and give b.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/14 + 8\/28. Suppose -4*j = -5*z + 59, -89 = -5*z + g*j - 32. Let a = 22 - z. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + m = -0*m - 8, 2*y + 5*m + 17 = 0. Which is smaller: -2\/19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/5 + 4*a**2\/5 - a = 0. What is a?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2768*x + 351*x + 773*x as q + i*x and give i.\nAnswer: -1644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.3 + 8. Let h be (2\/12)\/(1 + -2). Put v, 1\/2, h in increasing order.\nAnswer: v, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546838 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = -150. Is m at least -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let b = -293\/6 + 49. Let v(i) be the second derivative of 0 + 0*i**2 - i - b*i**3. Calculate t(v(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/18 and 97\/15954.\nAnswer: 47862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.05, -4935, -4 in increasing order.\nAnswer: -4935, -4, -0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 20*a**2 - 29*a + 104. Calculate d(21).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.1758.\nAnswer: -0.3516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 429995*d - 5. Let v be g(-1). What is v rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -9, -15, -23?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 0 + 0)*(2 - 1 + 1) + 350*q + 284*q - 164*q - 4 + 4 - q + (q - 6*q + 3*q)*(2 + 1 - 1) + q + 0*q + q - q + 0*q + 3*q in the form j*q + c and give j.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11*21\/154*93*8*(-6)\/(-216)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(85) + sqrt(85)*1))\/sqrt(5) + 1 - (1*sqrt(68)\/sqrt(4)*5 - ((sqrt(1377)*-1)**2 + 3)).\nAnswer: -11*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*w - 7*w. Suppose -4*h - 75 = -5*x, -101 = -4*x - 7*h + w*h. Suppose d + 5*u = 5*d - x, 0 = 2*d - 4*u - 8. Solve -d*y + y = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8086247 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 46?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1959*u - 1048. Is x(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4418751 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1228\/7 (c) -0.002244\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*f - 46*f + 5*f + 720 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1561892*w**2 - 3192190?\nAnswer: 3123784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59374 is divided by 59272?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*o*w + 179*c*v**2*w**3 - 2*c*v**2*w**2 - 2*c*v - 2*o*v**2*w + 2*o*w**3 + v wrt v?\nAnswer: 358*c*w**3 - 4*c*w**2 - 4*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 + 1 - (0 + -3). Solve 3*r - 2 = z*s - 3, 2*s - 3*r = 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w**2 + 6*w**2 + 3*w**2)*(0 - 1 + 3) - 4*w**2 - 861 + 861 in the form q + b*w**2 + n*w and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 437960 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 4933?\nAnswer: -31\/4933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + -75 + 67?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -38, 2142 in descending order.\nAnswer: 2142, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 228.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -3, -2, 16 in increasing order.\nAnswer: -3, -2, 1, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570610 and 602?\nAnswer: 3994270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48933121?\nAnswer: 23, 29, 73363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433189707 + 6*q**2 - 433189707.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c + c**2 + 0*c**5 - 1\/6*c**3 + 1\/12*c**4 + 1\/60*c**6 + 0. Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/45)\/(34\/(-29274)*56\/12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3*p - 8. Let z be k(0). Let j(d) = 138*d + 14. Let q be j(z). Round q to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 1)*(3 + 5*j - 3).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322*d - 1005*d - 13012 = 5057 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235026 is divided by 598?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:22 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 2*j**3 + j**2 - 16*j + 7*j + 6*j. Does 16 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 2 - 15 = 0. Let s be -1 + 17 + y\/(9\/(-36)). What is the greatest common factor of s and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -0.5 (b) 0.5 (c) -3\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 9 - 12*m + 28.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 42.4. Let l = -7.1 + y. Let b = l - -0.4992. What is b rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*p = -32, 412*p - 409*p - 26 = 3*c + c + 17 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/6720*15)\/(1\/259*1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*b - 5*t + 7*t, 8 = b - t. Suppose 3*m = -i - 7, b*i + 11 = -m + 2*m. Is m not equal to 8\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16249 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.216265047 to three decimal places.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7630*s**2 + 0 + 83*s - 6 + 1.\nAnswer: 7630*s**2 + 83*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + y - 84 = 3*c, 3*y = 4*c - 112. Suppose 36 = -c*u + 37*u. Suppose 0 = 4*f - 3*f - 12. What is the greatest common divisor of u and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 0 + -7 + 8. Let m be 4 + s\/(-8)*-10. Let z be -10 + (-1008)\/(-102) - (-47)\/(-34). What is the closest to -7 in z, m, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.8 + 16.3. Suppose -10 = -3*a - 2*k, 4*a + k - 20 = 5*k. Let o be (2\/a)\/((-10)\/(-4)). What is the closest to -1 in o, f, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 857*n. Let i(h) = -2*h. What is d(i(v))?\nAnswer: -1714*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 16. Let q = -8 + o. Let n = 6 + -11. Let j(b) = 3*b. Let m(f) = 2*f. What is n*j(d) + q*m(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 109. Which is the fourth biggest value? (a) -1\/4 (b) -4 (c) w (d) -0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:59 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**5 + 5*r**4 + 356*r**3 + 10*r**2 + 18*r + 8 wrt r.\nAnswer: 180*r**2 + 120*r + 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.072 - -0.072698. Round u to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -158, -315, -472, -629, -786?\n\"Answer: -157*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/504*7)\/((-8)\/6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(252) + 1)*-1 + 4.\nAnswer: -12*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose 11 = n*d - 105. What is the remainder when d is divided by (-1)\/(-2 + 19\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**2 - 13*y**2 + 19*y**2 + y + 10*y**2 in the form o + j*y + z*y**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8 and 19\/1066.\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/40*4\/36*-15*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54648)\/(-920)*20\/(-12).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.2? (a) -4 (b) 12 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5560952.\nAnswer: 2, 37, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761658597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5192.317 litres?\nAnswer: 5192317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147156 + -147791.09. Let h = y - -647. Round h to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*0*1387\/11096?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 626, 622, 618, 614?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137253*o**2 - 9033*o wrt o?\nAnswer: 274506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 4. Let q be y(2). Let x be q\/(18\/33) - 1\/(-3). Suppose -5*b - w = 2*w + 13, -2*b + 2*w = 2. Is x smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 3. Let o(v) = -4*v + 16. Let l be (-5 + 8 - 0) + -1. Determine l*o(y) - 11*n(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 833003\/35958 - -4\/5993. Let t = x + -23. What is the nearest to 0 in -2\/7, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*z - 33*z + 61*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - 4*k - 4. Let t be r(-1). Solve -2*v - v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2, -60 = -2*x + 2*f - 22. Calculate the lowest common multiple of (-8 - -43) + 5*-1 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 - 0.42. Let n = g - -0.13. Let z = -2620\/11 - -238. What is the second biggest value in n, -1\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 60, 43, 10, -45, -128, -245, -402?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*r + 13*r - 84*r + 2 + 164*r to the form p*r + a and give p.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 158411*f**2 - 6273432024*f + 6273590436.\nAnswer: -(f - 1)*(f + 79206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + 2 + 0 - 1 - 3 + 1 + 0 + 3 - 1 + 0 + (2 - 1 - 2)*(-2 + 4 - 3) - 3 + 5 + 0)*((4 - 4 + 2*c)*(-2 + 0 - 9) + 2*c + 5*c - 5*c).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -31, 28.\nAnswer: -31, -2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -30, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3177, 12922, 29161, 51894, 81121, 116842?\n\"Answer: 3247*o**2 + 4*o - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*f**2*u**3 - 20*f**2*u + 24*f*u**3 + 22*u**3 - 8*u**2 - 8*u + 16 wrt f.\nAnswer: 78*f*u**3 - 40*f*u + 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - q**3 - 7*q + (-2*q**2 + q**2 + 0*q**2)*(-q - 2*q + 5*q) + 2*q - 2*q - 4*q**3 to the form u*q**2 + s*q + b*q**3 + z and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 4. Suppose -5*y = f*q - 63, -4*q - y - y = -86. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -67452*d + 3305146. What is i(49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-20))\/6*1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4234584, -4234588, -4234592, -4234596, -4234600, -4234604?\n\"Answer: -4*o - 4234580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 201*s**2 + 146*s + 3737. What is o(66)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 2951 = -k. Suppose 4*t + k = 1531. What are the prime factors of t?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j - 12. Let i(b) = b - 3. Let c be (-6 + -2)\/(1 + 0). Let s(v) = -3*v + 8. Let y(o) = c*i(o) - 3*s(o). Calculate y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (495\/22 - 9) + (-1)\/2. Suppose n*d + 1610 - 10372 = 0. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 1, j: 1, y: 2}. What is prob of picking 2 y, 1 j, and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795033, -3180091, -7155181, -12720297, -19875433, -28620583, -38955741?\nAnswer: -50880901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 3. Let s = -11 - q. Which is the smallest value? (a) 0.2 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. What is the third derivative of 6*p**4 - 13*p**v - 10*p**2 + 13*p**3 wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-15)\/f**(-34))\/((f*f**(-6\/17)*f)\/f*f*(f*(f\/((f**17\/f)\/f)*f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(516\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7640815 litres in millilitres?\nAnswer: 764.0815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -3*h**7\/35 - 23*h**3\/6 + 4*h**2. What is the derivative of c(z) wrt z?\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 14. Let x(n) = -4*n**2 - 13995*n. What is x(k(i))?\nAnswer: -4*i**2 - 14107*i - 196714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793169 is divided by 132183.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68) + 1 - (1*sqrt(17) + -4)).\nAnswer: -25 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164833 is divided by 7164.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586130367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61 - 13?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13287481 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4504 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 x when four letters picked without replacement from {n: 3, x: 17}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000133104 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16080105 or 16080098?\nAnswer: 16080105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 12*o**4 + 50*o**3 - 28*o**2 - 222*o - 36 = 0?\nAnswer: -3, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5 - 5*m**2 + 0*m + 4*m - m. Let x be z(-2). Let d = -19 - x. Put -1, d, -3 in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300 + -200. What is the highest common divisor of 60 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.84.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liliqll. Give prob of sequence iiql.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 2 - 2 - 49*x + 970 - 970 + (-1 + 2 + 1)*(6*x - 12*x + 11*x) to c*x + w and give c.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 89732, 89754, 89774, 89792, 89808, 89822?\n\"Answer: -k**2 + 25*k + 89708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2. Let p(h) = 1380*h**2 - 5*h - 35. Let g(b) = -691*b**2 + 3*b + 21. Let x(t) = -5*g(t) - 3*p(t). What is l(x(u))?\nAnswer: -1407675*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:31 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -19*x + 56. What is v(7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 17678660?\nAnswer: -8839330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(11) + (sqrt(88)*2)\/sqrt(8))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5002 by 5002.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttnnnnknknz. What is prob of sequence nzn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, q: 10, f: 1}. Give prob of sequence yyfq.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + k = 1892, -164 + 1296 = -3*g - k. Let b = 595 + g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 1 z when three letters picked without replacement from uooopzopopjgu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12 + 69 - 18 - 26 + 4*j - 20. Let t(d) = 7*d**2 + d - 1. Let f be t(1). Let p(o) = -6*o + 10. Calculate f*y(i) + 5*p(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-133)\/(-322) - 2\/(-23))*1*-22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 15 + 36 - 92 + 27 + 36*d**3.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -38*a - 1. Suppose -2*d + 4*d = 2*t + 6, 0 = 2*d - 8. Let c be (-3 + t)*1 - -1. Is h(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 193, 0.01, -2\/5 in descending order.\nAnswer: 193, 0.01, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55200000 rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3183809 to four decimal places.\nAnswer: 0.3184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1022848 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Suppose n*p = 4*p - 224. Let u be (-288)\/p - (-1)\/7. Let g(o) = -o**3 - 4*o**2 + 7*o. Determine g(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 420.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/4 (b) 0.4 (c) 0.9 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-24))\/(62\/(-16) - -3). Let s = 64 - 69. Sort -10, x, -0.5, s in decreasing order.\nAnswer: x, -0.5, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 66. Let j = -46 - o. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 + 4*o + 9. Calculate j(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -13 + 12 + (-1878)\/(-6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmmmkaimmikxmkia. Give prob of sequence xyi.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 592777740 a multiple of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = h + k - 69, -2*k = -5*h + 310. Let n = h - 64. What is the second derivative of 0 + 63*x - 24*x**2 - 73*x + n wrt x?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568392 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 at least 867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 10*z = -16. Let a = z - -8. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 1. Let q be k(-1). Let h(v) be the second derivative of -2*v**2 - 1\/2*v**3 + v + 1\/12*v**4 + 0. What is h(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -64\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18203 + 1383507\/76. What is the common denominator of s and ((-6)\/7)\/(80\/(-133))?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -71874\/5*b + 10*b**4 + 39204\/5*b**2 - 2\/25*b**5 - 2244\/5*b**3 - 62. Factor l(m).\nAnswer: -2*(m - 33)**3*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1231 + -1288 + (6 - 3) + 36?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35035.17um in centimeters?\nAnswer: 3.503517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-994)\/(-284))\/(77\/22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 2)*(-3)\/(-6). Is 2*(r + (-213)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**8\/42 - l**5\/20 + l**4\/12 + 25*l**2. What is the third derivative of c(o) wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 15*y - p + 15 = 0, -p + 7 = 2*y. Calculate the greatest common divisor of y and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22661822 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*b**5 - 2*b**2 - 39*b wrt b?\nAnswer: -600*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 divided by -825?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 34. What is k(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -39 + 0 + 1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 - 265912898*u\/3 - 17677417330689601\/3 = 0 for u.\nAnswer: -132956449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 12:01 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*-3*(-1)\/(-12)*(-1156)\/30345?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -30610550663478?\nAnswer: -30610550663477.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Let y = -7 - -2. Let n be c(y). Let v be 2\/4*-1*n. Let u(a) = -a**3 + 4*a**2 - 3*a - 1. Give u(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaag when four letters picked without replacement from gagnngaaggnggn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8076, 8392, 8708, 9024?\n\"Answer: 316*f + 7760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 7143804.\nAnswer: 35719020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 715513529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2010, 9343, 22010, 40011?\n\"Answer: 2667*l**2 - 668*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 + 83*s**2 - 112*s**2.\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18747, 73606, 165039, 293046?\n\"Answer: 18287*h**2 - 2*h + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 14*f**2 + 44*f + 38. Let w be k(-17). Suppose 5*u + 210 = 5*q, 5*u = 3*q + 31 - w. What is the highest common divisor of q and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0.4, -0.2, 0.134?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c - 14*c - 17 - 5 wrt c?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*g + 2*g**3 + 22*g)*(-4 + 0 + 2)*(5 - 3 - 5) as b*g**2 + y*g**3 + z*g + c and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = 0, 4*q = -17*m + 14*m + 1365. Suppose 11*k = 3003 - m. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11135 and 1507155.\nAnswer: 25621635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by 1?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:36 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 12 + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 262 and 261 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.09 + 0.09. Sort -1\/3, -1, d in decreasing order.\nAnswer: -1\/3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39051.216 to the nearest 10.\nAnswer: 39050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*j = 428*j - 5436 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iki when three letters picked without replacement from iiiiiiiimki.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13201212 + -1010121?\nAnswer: 12131031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 15*f + 2. List the prime factors of n(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1)\/(-12))\/(47\/564).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2737856, -10951475, -24640840, -43805951, -68446808?\n\"Answer: -2737873*o**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**4 - 13*v**4 + 2*v**4)*(-1 + 3 - 3 - 3 - 2 + 4 + (-3 + 3 - 2)*(5 - 4 + 0) - 15 + 38 - 43).\nAnswer: 408*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 h when four letters picked without replacement from ahaaahhaqhhqhha?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*w - 3 + 2 - 1 + 2)*(2 - 5 + 5) - 1810 + 1810 + 164*w.\nAnswer: 122*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29438 and 1218.\nAnswer: 17927742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1299, 4, -1\/3, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/13, -27 in decreasing order.\nAnswer: 2\/13, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eckttuo. What is prob of sequence kut?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463624347 a multiple of 6398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/8 - 11*p**2 + 8. Let o(g) = -11*g - 5*g + 5*g - 3*g. Determine o(l(f)).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.5, -3, 7\/85?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -99159273*b**2. Let n(r) = 3*r. Determine m(n(w)).\nAnswer: -892433457*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = c + 3*b, 61 = 4*c + 13*b - 12 - 9 + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 5*a + 8. Suppose -4*m = -l + 2, -5*l + 3 = 2*m - 29. Let h be o(l). What is the first derivative of h - 2 - 3*x + 1 wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 6*d**2 + 6. Let w be o(-6). Let y(b) = -b**3 + 12*b**2 - 18*b - 16. Let q be y(10). What is the remainder when 10 is divided by (9\/w)\/(1\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -5. Let t = 95.2 - 113. Let c = t + s. Round c to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4792 is divided by 240?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 17324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0188, 0.054, 0.\nAnswer: 0, 0.0188, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2*x + 7 + 4*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 3. Let a(l) = -5*l**2 - 17. Let z = -883 - -849. Calculate z*m(h) + 6*a(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 1, c: 2, w: 2, n: 5, s: 2}. What is prob of picking 2 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31231 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 - -0.15. Let z = -2122\/9 - -236. Let i = 282 - 280. What is the closest to 0 in l, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -594 - -1784\/3. Which is the fourth smallest value? (a) 1 (b) -2\/7 (c) -56 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 + -21201?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.44 - -33. Let w = o - 0.06. What is the smallest value in 4, w, 0.03?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spmmmbmabcmmscmcsmas. Give prob of picking 1 c and 1 s.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 5 in decreasing order.\nAnswer: 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -153. List the prime factors of q.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-35) - 44\/(-28). Let -42*z + d + 69*z**2 - 18 - 12*z**3 + 3 - 2 = 0. What is z?\nAnswer: -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*q - 2*v, -q = -6*v + 4*v - 3. Let a(t) = 3*t**2 - 2*t - 2. Let r be (4\/10)\/((-3)\/(-15)). Let d(i) = i**2 - i - 1. Determine q*a(n) + r*d(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 4*s**2 - 2*s**2 + 8*s**3 - 1. List the prime factors of f(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/6)\/(2\/3))\/(4549\/150117).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 1110673, -4 in descending order.\nAnswer: 1110673, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 95 = j, 3*j + 75 = -3*s + s. Let p = s + -13. Let g = 111 + p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312 (base 4) in base 9?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.1. Let r = -63.4 - -63. Sort c, r, 2 in descending order.\nAnswer: 2, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50170 smaller than 50537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) -2 (c) 11585\/2 (d) 2\/19 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109378630 - 165438630. What is q rounded to the nearest one million?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810753 divided by -87.\nAnswer: 9319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 582.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w**(-2\/29)*w)**(1\/34) assuming w is positive.\nAnswer: w**(115\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 69298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72815 is divided by 1425?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k + 513 - 11*k - 1432 to p + i*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -420240*y + 671320 with respect to y.\nAnswer: -420240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 - 2*d**2)*(2*d**3 + 617 - 260 + 274).\nAnswer: 2*d**5 + 631*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 576654.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24257442 is divided by 188042.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from odxjojooojdjsxjoxods?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 10*m - 0*m. Suppose 2*k + 4*w - 54 = 16, -w - m = -2*k. Suppose -58*d + k = -53*d. Solve 4*u = d*u, 2*c + u = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 10*n + 226. What is the thousands digit of v(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {p: 2, i: 4, j: 2, b: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -24*w**2. Let b(o) = -69135*o**2. What is u(b(p))?\nAnswer: -114711557400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -301*f**3 - 5*f**2 - 10*f + 14. Let w(y) = -452*y**3 - 8*y**2 - 16*y + 20. What is -8*u(j) + 5*w(j)?\nAnswer: 148*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420690 divided by 6?\nAnswer: 70115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4807*g + 150 = 2395*g + 2397*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30280 - 30270. Suppose -o + 40 = 4*o. Suppose -v - 5*s - o = 0, -6 = -3*v + 3*s + 42. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 5*l**5 + 4*l**5 - 8*l**5 + 2*l**5 - 4*l**5 + (0*l**2 + 2*l**2 - l**2)*(4*l**3 + 0*l**3 - 5*l**3).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 56. Let j be f(8). Solve 0 = a - h + 1, -4*h = -3*a + j - 39 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4605 = -3*f - v, 5*v = 4*f - 4599. Let r = f - 772. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -487*g + 486*g - 5*q + 17, -4*g + 2*q = 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/143 - 27\/(-55)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32384 and 1518.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5*6\/60)\/((-2)\/(-160)). Is h less than or equal to 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 + 8 = -2*v, -v = -u - 6. Suppose v*j = 3*j - 4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -50. Suppose -x = -u - u. Solve 0*o + 2*o = u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.30621 to 2 decimal places.\nAnswer: 39.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3383909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + 3*x - x)*(5 - 2 - 1) + 2*x + 2*x - 5*x + 8*x + 3*x - 6*x)*(0*x + 4*x - x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -166 + 4*r**2 - 1\/3*r**3 + 15*r. Calculate f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32730 and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 8*d**2 - d - 4. Let z be m(-7). Let c = z - -86. Suppose 0 = -c*f + 39*f + 173. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -16, 3 in decreasing order.\nAnswer: 3, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1827, 2041, 2205, 2319, 2383, 2397, 2361?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(72) + 3 + -2)**2 + 4.\nAnswer: -84*sqrt(2) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20*1)\/(3\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose n*t = -2*t + 120. Let v be 3\/2*t\/9. Solve -12 = -v*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g - 7. Let p = -8 - -3. Let w be o(p). Find the first derivative of 2*a - a + 2 - w wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10))**14 assuming w is positive.\nAnswer: w**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -57220?\nAnswer: -17166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 4. What is the units digit of p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -1\/4, 0.44, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 185*g**2 + 49 - 64*g**2 - 58*g**2 + 11 - 62*g**2 + 29*g. Determine z(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88133489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 279475\/34572 + -3\/5762. Let h = 12253 + -294121\/24. Calculate the common denominator of h and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 0, 4*w + 1643 - 4625 = 3*v. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -154, -380, -614, -862, -1130, -1424, -1750, -2114?\n\"Answer: -f**3 + 2*f**2 - 225*f + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -3752\nAnswer: -19\/1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1161)\/1978 - 2\/(-23))*(-111 + -1) and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410272776 - -0.3\nAnswer: 410272776.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*g - 29. Suppose 0 = -2484*x + 2475*x + 2898. What is the greatest common divisor of g and x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928479 plus 5.39?\nAnswer: -928473.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-45)*(-90)\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*h**2 - 197*h**2 - 197*h**2 + 4*h**3 - 5*h**3 + 4*h**3 - 173*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13203884?\nAnswer: 2, 3300971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 19) + (-1 - (-5 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -31, 7, -2.6.\nAnswer: -31, -2.6, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 10. Put u, 2, -2, 1 in decreasing order.\nAnswer: 2, 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 + 139*x + 30. Suppose -348 = -39*p + 354. Does 22 divide z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/4 + 45*s**4\/4 + 1023*s**3\/2 + 975*s**2\/2 - 2043*s\/4 - 1995\/4 = 0. What is s?\nAnswer: -19, -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3685 + -3687. What is the closest to -2\/11 in o, -1\/20, -3\/10, 0?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by -720?\nAnswer: 23\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/1811, 0.5, -1, 0, 2\/17, -2\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3105*p + 31039. Give i(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 640 = 23*x. Let j be ((-1)\/(x\/(-3)))\/((-24)\/32). Solve 3\/8*r**2 + 0 - j*r + 1\/8*r**4 - 3\/8*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-17))**(-4\/13) assuming q is positive.\nAnswer: q**(-72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 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: Collect the terms in -1569*y + 3075*y - 1918*y.\nAnswer: -412*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/21*(-2)\/3. Let w be 1\/(90\/15 - (6 - 1)). Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(0 + sqrt(17)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 236, 205, 172?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -102\/4067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -8)*8\/(-6). What is the second derivative of 3*i + i**u + 19*i**2 - 19*i**2 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340 and 49197\/1395 + 8\/(-30)?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -70, 0.00934, -2, 0.4, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.3377308 plus 0.091?\nAnswer: 498.4287308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 30*g - 8)*(6*g + 2*g + 2*g) + (-2*g + 6*g - g)*(-6*g + 3*g - g) - g**2 + 0 + 0 - g**2 + 3*g**2 - g**2 in the form l*g + t + i*g**2 and give i.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13198360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + (-6384)\/(-10)*9240\/336. Which is greater: 17548 or n?\nAnswer: 17548","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90736 is divided by 90421?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007001095.\nAnswer: 5, 653, 308423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*z + 2, b = 2*b + 5*z - 8. Which is smaller: -20\/9 or b?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6 - -5)*12)\/1. Let s be (-3 + 4)\/((-4)\/c - 0). Solve 0 = s*v + 5*k - 2, -9 - 9 = -4*v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 995, 0.12, 0, -2\/43, -2 in ascending order.\nAnswer: -2, -2\/43, 0, 0.12, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1584)*-1 - sqrt(11)) + (sqrt(99) + -1)**2)*-1 - ((-4 + sqrt(539)*-1)*1 + 3).\nAnswer: -99 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 5*n + 2. Let w be h(5). Let l be (-1)\/3*(w + -14). Solve 9 = 4*k + l*r - 11, -k + 5*r = 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19378.\nAnswer: 2, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -767979 + 58966195598\/76781. Let w = k + -7447661\/7370976. What is the common denominator of -71\/48 and w?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 - t - 31. Suppose -3*c + 2*m - 15 = -13, 3 = 3*m. What is b(c)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -45. Let v = -24 + q. Let d = v - 8.46. What is d rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*d - 31, 0 = -d + 6*r - 112 + 98 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*g**2*u + 93*g**2 + u**3 + 740*u**2 - 1 wrt u.\nAnswer: -6*g**2 + 3*u**2 + 1480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*f**4 - 30995*f - 2521575.\nAnswer: 80*f**3 - 30995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -393.028 - -390. Let y = u + 3.5. Let l = 0.072 - y. Is l not equal to -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 22777348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97\/4 + -25. Suppose -3 = -4*b + 13. Let w = 179\/4 - 45. What is the third smallest value in b, w, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 = k, -2*p - 3 = 3*k + 17. Let c = 23 + k. List the prime factors of (54\/c)\/((-6)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6080, 24298, 54660, 97166?\n\"Answer: 6072*z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 62*b**2 + 7*b - 7. Let l(v) = -31*v**2 - 4*v + 4. Let t(k) = -4*g(k) - 7*l(k). Let i(r) = -2*r. Calculate i(t(c)).\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-8) + (-2)\/20. Sort 1, -3, -1.2, r.\nAnswer: -3, -1.2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/22 and 103\/19342.\nAnswer: 212762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o**3 + 3*o**2 + 3*o. Let n(p) = -26*p**3 + 5*p**2 + 5*p. Calculate 3*n(g) - 5*u(g).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2697\/(-6))\/(-31) - 3\/(-2). Solve -17 = 4*l - 3*j, q = -2*l - l - j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 3:31 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = 4*p. Let a = 6479 - 6484. Put p, 3, a in descending order.\nAnswer: 3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(78)\/(sqrt(12)\/sqrt(6)))\/(-5*sqrt(3)*2))**2.\nAnswer: -2*sqrt(13)\/5 + 413\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 28 = -2*m. Suppose 5*z - 25 = -5*c, 4*c + 0*z - m*z - 28 = 0. Let s be (27\/c - 3)*(-8)\/22. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140826017 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*j*o**2 + 3*j*o - 3*j + 86 wrt o.\nAnswer: 32*j*o + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + 153 + -168?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3564*i**2 - 3565*i**2 - 22 + 6*i + 28*i. Let u be h(33). Solve u*p + 15 = 16*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 7. Let b be x(3). Suppose k = -b*k. Is (-2 - k)\/(18\/(-153)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1311.63 + 1300. Let k = i + 1.23. Let n = k - -10. Sort 2\/9, n, 2\/3.\nAnswer: n, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -20. Let v = o + -15. Solve -4*y + 3*j - 8 = 0, 3*j + 7 = y - v*j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1864 and 5935992.\nAnswer: 1383086136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27712 = -2*o + 8*k - 27794, 2*o + 61 = k for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 6968 and 6967 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -951 + 951. What is the units digit of 739 - w - (4 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27387*o**2 - 348230*o wrt o.\nAnswer: 54774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/9)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8086649.7 to the nearest one thousand.\nAnswer: 8087000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 679695779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101265?\nAnswer: 3, 5, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 129. Suppose -3*w = 3*u - 516, 5*u - 209 - 651 = l*w. What is the remainder when u is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a century in years?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1.13.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/((-9)\/(-24)). Let y(w) = -3 - 3 - 3*w + 5*w + w. What is the units digit of y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 110*g. Let s(r) = -r. Let n(i) = -b(i) - 55*s(i). Let d be n(-1). Suppose -d = -3*u + 2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 6*o + 3. Let q(p) = 2*p - 6. Let y be q(5). Let a be h(y). Let k = -2 - a. Solve 4*t - 4*m - 3 = m, k*t = -3*m - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 72*k - 56. Calculate the remainder when 249 is divided by c(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278336 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 - -286. Which is smaller: -0.004 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 15 = 3*k - 9, 5*k + 3*w - 29 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**2 + 4*b - 3. Let n(z) = -2*z - 4 - 16 + z + 5. Let j be n(-16). Let r be u(j). Let y(o) = -o**3 + 6*o**2 + 6*o + 2. What is y(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9*5\/(-3) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 641\/119 - 26\/17. Let q be (-2403)\/744 - 4\/2. Let y = -82\/31 + q. What is the common denominator of c and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/195 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1605 and 1284?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13*((-1)\/(-3))\/(4\/((-84)\/7))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.42 less than 29850899527?\nAnswer: 29850899539.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34481 by -1.\nAnswer: 34481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -76 (c) -0.057 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -526314.45 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -71738 and -71738 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -9 + 0*i**2 - 29\/3*i**3 + 0*i. Let v(g) = -23783 + 23783 - 2*g. Determine v(j(r)).\nAnswer: 58*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/35 or 12\/613?\nAnswer: 12\/613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 77. Calculate the common denominator of 2372\/1400 + n\/35 and 19\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271677.4202 plus -23?\nAnswer: 2271654.4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 11*f**3 + 26*f**3 + (-5 - f**2 + 5)*(-4 + 4 + f) - 2*f**3 + 0 + 0 + f**3 + 0*f**3 + 0*f**3 to c*f**3 + x*f**2 + n*f + w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4101668km?\nAnswer: 410166800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s + 133. Let n be a(6). Suppose n*l - 7662 = 61*l. What are the prime factors of l?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9cc275 (base 15) to base 13\nAnswer: -171cc95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 7*i + 1. Suppose 0 = -5*d - 1 + 46. Suppose -q + 2 = d. Let v be y(q). Is v at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -11*y + 15*y, 2*y - 2 = 2*a. Factor a*z - 4\/3 + 4\/3*z**2.\nAnswer: 4*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-268)\/(-402)*(-2)\/4. Which is the closest to -1? (a) 22 (b) w (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 56. Let m = -1 + -65. Let g = 50 + m. Let c be w(g). Solve 4*f = 2*n - c, -2*f = -4*n - 5*f + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {m: 5, j: 3, l: 2, a: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -5 + 2\/((-198)\/40997). Let o = d + 419. Does 0.11 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n**2 + 1 - 1)*(130 - 128 - 132).\nAnswer: -260*n**2 - 130*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7758 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 3, t: 4, h: 4, k: 1, z: 3}. Give prob of picking 1 i and 1 d.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279 - 275. Suppose -2 + 50 = w*d. Solve -2*m - 3*f = f - 8, 4*m = -4*f + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b + 0 + 7 + 1 wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 13 - s**2 + 1\/3*s**3 + 3*s. Calculate k(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2534709286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(70\/12)*(-5)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571469.\nAnswer: 3, 197, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -910?\nAnswer: -910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -558 + 2495\/4. Let j = t + -65. Is 1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84461244 by 46.\nAnswer: -1836114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149823015.\nAnswer: 3, 5, 61, 163741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.84 and 84362.\nAnswer: 84361.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 plus 128486511393?\nAnswer: 128486511396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190471535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*w + 2, -4*n + w + 1098 - 1080 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 679416742 * -0.3.\nAnswer: -203825022.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -21. Suppose -4*m - 5*q + 1487995 = 0, 0 = -5*m - 2*q + 277944 + 1582054. Suppose -m = 5*c - t*c. Round c to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.2 - -26. Suppose -4*h + 14*p + 28 = 0, -21*h - 3*p = -20*h - 7. Sort -4, h, d in ascending order.\nAnswer: -4, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/4, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 799 and 2726?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/19)*s**(-47))\/(s**(1\/4)*s*s**(-7\/3)) assuming s is positive.\nAnswer: s**(-10481\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-87)\/6*-96 - 3.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2739939 and 101\/112.\nAnswer: 306873168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n - 4. Let p be u(-4). Let s = 24 + p. What is the units digit of s\/(-10) - (-10)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.054 - 4.854. Let z = -2.9 - l. Let k = 3825 - 3824. What is the smallest value in k, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2.2, 1.5, 0.4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 595\/103?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 3799124*t - 383752328 = 0. What is t?\nAnswer: -949882, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, 73, 120, 207, 346, 549, 828, 1195?\n\"Answer: 2*d**3 + 2*d**2 - d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 2.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506024.7ml to litres.\nAnswer: 506.0247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g + 11*g - 52*g**2 + 48*g**2 - 154 wrt g.\nAnswer: -8*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7706564 by -36524.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4 and -27\/58?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 3. What is the least common multiple of h(-1) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24795837*o*t + 3369762*o - 2 wrt t.\nAnswer: 24795837*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365 and 33.\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0101 - 2.\nAnswer: -1.9899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*h - 8165 = 0, -z + 8*h = 13*h - 8155. Is z a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 - 18 + f + 7*f**2 - 30 to the form y*f + v + i*f**2 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11290 - 11262. Solve 0 = -v*y + 25*y - 18 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 2232?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1081*s + 19407. Calculate i(18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*x**3 + 27*m**2*x - 2468*m**2 - m*x - 75534*x**3 + 4*x wrt m.\nAnswer: 4*x**3 + 54*x - 4936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 + 2*v - v**2 + 2*v + 4*v**2 = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -979?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -863 + 1003. Differentiate 133*c - 83 + j*c - 112*c with respect to c.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 5 + (sqrt(637) - ((sqrt(637) - sqrt(637)*-3) + sqrt(637))) + -5 + sqrt(637) + sqrt(637) + 3 + -5)**2 + -1.\nAnswer: 140*sqrt(13) + 2572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/2 - 8837*o**4\/8 + 4930165*o**3\/8 - 54463153*o**2\/8 + 61619831*o\/8 - 6039005\/4 = 0 for o.\nAnswer: 1\/4, 1, 10, 1099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 1 = 5*d. Is (-4369)\/(0 - (d + 0)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8.000034. What is r rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42492 is divided by 9227.\nAnswer: 5584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 147?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 15) in base 14?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 9*b**2 - 5\/2*b**3 + 0 - 1\/3*b**5 + 0*b + 0*b**4. Differentiate j(y) with respect to y.\nAnswer: -40*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 - -207.18. What is t rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/1 + 1304335\/25865?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -5 + -8 - (15 - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746, 753, 760, 767, 774?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3412423071 to the nearest integer?\nAnswer: 58416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1107\nAnswer: 1\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 23*j - 6. Let x(m) = 68*m - 17. Give 8*f(a) - 3*x(a).\nAnswer: -20*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 330*h**2 + 2410*h + 121. Determine t(-172).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnjnnnnnjnnjnnn. Give prob of sequence njjj.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.85. Let q = g + -1.1. Which is bigger: 0.2 or q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4326, -8654, -12982, -17310, -21638?\n\"Answer: -4328*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -1\/5, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, -4, 3 in decreasing order.\nAnswer: 32, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3135 - 206 = -13*c. Let s = c + -78. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-30))**(-24) assuming s is positive.\nAnswer: s**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4114, -16437, -36976, -65731?\n\"Answer: -4108*a**2 + a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e3 - 8?\nAnswer: 2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11121 (base 3) to base 9\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*((0 + (sqrt(832) - sqrt(832)*2) + sqrt(832) + 2*(sqrt(832) + 1))*-2 + -2))**2.\nAnswer: 153600*sqrt(13) + 5339200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/7)*z\/z**(-6)*((z\/((z\/z**(-1))\/z))\/z)**(-7\/3)*(z**(1\/4))**(2\/5)\/((z*z\/z**(-2\/7))\/z**3) assuming z is positive.\nAnswer: z**(2281\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -284. What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + m - 17 = 0, -4*q - 4 = 5*m - m. Let j be 1 + 5\/(-10) - 69\/q. Solve -3*h - b = 2*h - 28, j = 4*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**8\/28 + p**5\/10 - 2*p**2. Find the third derivative of v(g) wrt g.\nAnswer: -720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3289217 - -0.3.\nAnswer: 3289217.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:51 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 388.242 to the nearest integer.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26026653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -897 - -897.2. What is the fourth smallest value in -0.1, 6, 3\/8, i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2243751 + -2243889.0269. Let j = o - -138. Round j to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -554, -832, -1110?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + (-52 - (-90 + 36)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 1\/96, -5?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 261*v**3 - 4*v + 1061*v**3 + 1195*v**3.\nAnswer: 1995*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*(-2)\/(-1). Let b(v) = q*v**2 - 3*v**2 - v**2. Let z(r) be the first derivative of -r**3\/3 + 3. Calculate z(b(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621181464, -1242362929, -1863544394?\nAnswer: -2484725859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1752917 is divided by 122.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22659 and 2184?\nAnswer: 181272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 469177*k**2 - 2*k + 469190*k**2 - 19 as x + a*k**2 + b*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2\/7, -15\/11, 27?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59153106 minus 3?\nAnswer: 59153103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose 4*p = -z*i + 1 + 20, -27 = -4*p - 5*i. Let r be 1 + (p - (4 - 4)). Solve 0 = -r*f + 1 + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, -2, 1783 in descending order.\nAnswer: 1783, 11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.04 - -1. Let y = x + 0.04. Which is the closest to y? (a) -0.1 (b) 2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 25. Put -3, -1, j in descending order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h - 2. Let d be g(-4). Suppose -j - 80 = -4*z, 394*z - 389*z = -5*j + 75. Solve -5*p + d = 4*c, -2*c + 2*p - z = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22314*w**3 + 5*w**2 - w + 2. Let q be i(6). Round q to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30179 divided by 6.\nAnswer: -30179\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p - 5. Let r(t) = t**2 + 48*t + 437. Let z be r(-12). Sort z, 2, p, 11 in ascending order.\nAnswer: p, 2, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 - -110. Round q to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 300*y - 4804. Determine f(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13613269 to the nearest integer?\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-3)\/1) - -2)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(((-1*(sqrt(66) + sqrt(66) + 2*sqrt(66)) - sqrt(66))\/(sqrt(726)*-2))**2 + -2 + -3).\nAnswer: -780\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14927*k - 1482 = 29887*k - 14941*k for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3722 and -426\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -2 (c) -78 (d) 1 (e) -5 (f) 2\/183\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -468 + 466. What is the nearest to 3 in -0.2, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-7 + 19\/2). Suppose 0 = -3*i, 0 = -4*g - 2*i - z*i + 20. Solve 0 = 2*j - 7*j + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -14) + -19 + -12 - 0 - (-80 - 2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/480150 and 131\/480150.\nAnswer: 480150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007163881338 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 171, -3, 7, -61 in ascending order.\nAnswer: -61, -4, -3, 4, 5, 7, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 847126 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2133\/26 + -82. Which is smaller: 2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -149*n**4 - 3*n**3 - 4*n - 252. Let d(g) = -299*g**4 - 5*g**3 - 7*g - 502. Let o(h) = -7*b(h) + 4*d(h). Differentiate o(z) wrt z.\nAnswer: -612*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**(2\/29))**(-42\/11) assuming r is positive.\nAnswer: r**(2352\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 14.3. Let y = 15715\/39 + -403. Let x = -43\/78 - y. What is the closest to -0.2 in 3\/5, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 545492595 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -438 divided by 5\nAnswer: -438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 63 = -3*b, -410*b + 3*w = -413*b + 63. Suppose x = 5*x - 252. Suppose 3*p = -x + 180. Calculate the remainder when p is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2490 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(209)\/sqrt(396).\nAnswer: -1 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 5*f**3 - f**3)*(-212 - 212 + 393).\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49899.99930642 - -49900. What is y rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53629036 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = v - 5 + 19 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**5\/15 - 21*t**2. Let m(q) be the third derivative of -q**5\/5 + 13*q**2. Give m(y(o)).\nAnswer: -192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*f - 256*f - 263*f - 249*f - 246*f - 250*f + 1509*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -27, 0, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015661 to 4 dps.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + h - 16, -3*v = 5*h - 20. Let f be 0 + -1 - (-4 + 3). Suppose 2*s - 14 = 2*g, f = 2*s - s - v. Which is greater: -1\/2 or g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000411 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506, -993, -1480, -1967, -2454, -2941?\nAnswer: -3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -885 (c) -2\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 256940 and 0.4.\nAnswer: 256940.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 less than 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7815, 7810, 7809, 7812, 7819, 7830, 7845?\n\"Answer: 2*x**2 - 11*x + 7824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**2 + 3*w + 23. Let p(u) = -11*u**2 + 4*u + 34. Let q(l) = 8*k(l) - 5*p(l). Let r(d) be the first derivative of q(d). Give r(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1352, -3590, -5828?\n\"Answer: -2238*x + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(10\/3)\/(u*u**(-20)*u) assuming u is positive.\nAnswer: u**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/8 and (-3 + 4)\/((-10)\/(-87)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 3:54 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 4\/15 (c) -1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 526*x - 3. Is m(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 2*k + 13, 4*k = 4*g + 36. Let f be (-1)\/5 - (-2218)\/(-10). Let s be (f\/26)\/3 - -3. Put 0.1, g, s in ascending order.\nAnswer: g, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -87. Is 10\/(-4)*18\/(-15) - c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + z**2)*(-2*z - 3*z + 3*z + (-6 + 1 + 0)*(3*z + 3*z - 3*z) + 4*z - 9 + 9).\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 0. Suppose g = 3*x + l + 2*l, 2*l = -4. What is the first derivative of 5 + w - 8*w + x*w wrt w?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123144 decades in years?\nAnswer: 1.23144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*c**4 - 136*c?\nAnswer: 780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 5*n**2 + 3*n - 2. Give l(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3942389 and 316976.\nAnswer: 63078224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l**2 + 4*l - 130. Let m(z) = -5*z**2 + z - 43. Give 8*m(j) - 3*r(j).\nAnswer: 2*j**2 - 4*j + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2808 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*v**2 - 1361*v**2 + 1525*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = -4*u + 2*i - 131, 0 = 2*u + 4*i - 188. Suppose 189*l + u = 204*l. Solve 2*y - l = 0, -j + 0*j + 2*y = 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a627 (base 13) to base 16\nAnswer: 59e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 2181, 3689, 5199?\nAnswer: 6711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aeeaeaeeaeaee?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 2140 = -49*y + 404 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134 - -143. Calculate the greatest common factor of m and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 16*c - 7. Let o(h) = -3*h - 15. Let j be o(-5). Suppose j*z = 5*z - 20. What is the units digit of g(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41106702 is divided by 95?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5422 is divided by 1885?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*t - 25. Suppose 0 = t*g + 60 + 6. Sort g, -4, 5 in descending order.\nAnswer: 5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 12*4\/12. Factor -7 - 6 + s*j + 7 - 10*j**2 - 18*j - 2*j**3.\nAnswer: -2*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 169 = -131. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*k**3)*(-6 - 6 + 5)*(-4*k**2 - 7*k**2 - k**2).\nAnswer: 168*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x**2 - 10*x**2 + 3*x**2 to the form q + g*x + i*x**2 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 197 = 6*w. Solve 0 = n - 3*x - 6, 2*n + 7*x + w = 2*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3165352 (base 7) in base 11?\nAnswer: -244063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/((-145)\/2))\/(((-8217)\/(-55))\/9).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 38) + (-58 - -87).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1931 - 193*v**2 + 193*v**2 + 5434*v**4 - 2657 - 536*v**4 wrt v.\nAnswer: 19592*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - -15. Suppose 12 = -4*q, -q + 21 = 2*m - 96. Let u = m + h. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 65505302?\nAnswer: -39303181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1313466, -5253861, -11821188, -21015447?\n\"Answer: -1313466*s**2 + 3*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 348*g**3 - 1425*g**2 - 1794*g - 720.\nAnswer: 3*(g - 120)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76110 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 5, 31, 4 in decreasing order.\nAnswer: 31, 6, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:43 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 8 + (-1 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2)*z**(-5\/7))**23\/(z**1*(z**(-1\/12)*z)\/z*z\/z**(2\/3)*z*z\/(z**3\/z)) assuming z is positive.\nAnswer: z**(471\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 3540.376276.\nAnswer: 3540.076276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 133365?\nAnswer: 133367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 28902?\nAnswer: 1618512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*s = 5759, g + 2*s + 65 - 1984 = 0. Is g a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 + (-3 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (51 + -11 - 31).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 15 + 5 = 0. Let z(n) be the first derivative of n**2 + 4 - y + 0*n**2. Let m(u) = 2*u. Determine m(z(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/571 or -1?\nAnswer: -3\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 980 divide 26038600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.53, 1\/5, -87?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1 - -1 - -1). Let p = 0.029 + 0.471. Suppose -5*r + 12 = -q - 1, -2*r + 5*q - 4 = 0. What is the third smallest value in r, s, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 9*v**2 - 20 + 3*v**4 + 11*v**2 - 2*v as g*v + h*v**3 + q + f*v**4 + w*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**5\/60 - 15*p**2\/2 + p - 4. Let o(d) be the first derivative of z(d). Let a(i) = -19*i**2. What is o(a(h))?\nAnswer: -361*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*w - 45, 2*b - 3618*w + 3628*w + 45 = -b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63485172?\nAnswer: 2, 3, 1763477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + -9 + 9 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0253172 + 164.9887828. Let a = -165 + n. What is a rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*k + 30, -5*k + 8 = z - 0*k. Is z at least -37\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763246941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - (5 - (-2959)\/(-528)). Put -4.2, o, 2 in ascending order.\nAnswer: -4.2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 120790.\nAnswer: 362370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.024 - 16.976. Put -2\/7, l, 2 in descending order.\nAnswer: 2, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1063, -3229, -6843, -11905, -18415, -26373, -35779?\n\"Answer: -724*x**2 + 6*x - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -421\/275187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -32*x + 93. Let h be t(3). Which is the second smallest value? (a) 0.07 (b) 7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/3 - -3*(-9)\/(-3). Suppose 4*s - 567 + 2355 = j*i, -5*s - 1333 = -3*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let p = -16 - -8. Let d = 13 + p. Let o(a) = -5 - a + d. Determine s(o(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 448, 452, 458, 466, 476, 488?\n\"Answer: z**2 + z + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*g**3*i**2 - 1801*g**3 + 2*i**4 wrt i?\nAnswer: -114*g**3*i + 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116554820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11308477 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 10*i - 21. Let w be g(-4). Let b be (w\/((-30)\/(-16)))\/(6\/15). Suppose b*s - 84 = -3*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t - 140 = 376. Let l(h) = -h**2 + 19*h - 75. Calculate l(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (137\/(-2))\/((-18)\/(-12)). Let i = 47 + f. What is the biggest value in 0.7, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-64) + (-2178)\/5280. Which is the nearest to -1? (a) -20\/7 (b) -0.4 (c) u (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) -1\/3 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14593152.\nAnswer: 2, 3, 7, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -22*w**2 + 5034*w - 3751. Determine t(228).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.039 and -0.2192.\nAnswer: -0.1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 525, 528, 531?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*z + 20, -4*r - 125 = 2*z - 45. Calculate the remainder when 13 is divided by ((-24)\/20)\/(6\/r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u. Suppose -2*o = 5*z - 225, 3*o - 8*o + 576 = -z. Let g(b) = -107*b**2 + 215*b**2 - o*b**2. Calculate n(g(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -260, 5, 16.5, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26\/3, -2.\nAnswer: -2, 1, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.743069 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108, 233, 400, 615, 884, 1213?\n\"Answer: u**3 + 15*u**2 + 73*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23650.07 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -16. Let k = 9 + y. List the prime factors of (28\/k)\/((-4)\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7008 = -76*h + 31404. Is 320 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 20*x + 269. Suppose -r - 37 = -4*m - 2*r, 3*m - r - 33 = 0. What is the remainder when a(-11) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3*s**3 - s**3 - 2*s**3)*(3 - 6 + 0)*(-5*s + 2*s + 4*s).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*z - 59*z - 74*z - 3*z**2 + 2*z**2 to the form i + h*z**2 + n*z and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2898530 and -2898523 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 4*t - 7. Let v be s(5). Let p = 6 + v. Suppose -231 = -5*b - 56. Solve 0*r - 35 = p*r + 3*o, -4*o - b = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64939820 divided by 56716\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -139*i + 148*i. Suppose 5*v + 33 = 123. Suppose y + 5*b - 25 = 0, -v = -i*y - b - b. Solve 0 = -2*l + x - 0 - 2, x = y*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4382 - -164.4382. Which is the third biggest value? (a) 9 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738779.\nAnswer: 37, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*r + 177580, -5*m - 184211 + 628227 = -4*r. Suppose 7*g - m = 22*g. Round g to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11163 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r + 3*n - 5, -3*r = 2*n - 4. Suppose 3*x - r*x - 18 = 0. Suppose -x*f = -14*f - 52. What is the remainder when 38 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 26 - 20 = 0. Let u(b) = 4*b - 5. Let f(v) = v + 1. Let a(p) = q*u(p) + f(p). Give a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = 63 + 37 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 + z**2 - z. Let q(a) be the second derivative of a**3\/3 - a**2\/2 - 5*a. Let h be q(1). Determine v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93142*k**3 + 65560*k**2 wrt k.\nAnswer: 558852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 18*r**2 - 4*r**3 + 4*r**3 - 2*r**3 + 0 + 0 + (0 + 0 - 2)*(0*r + r**3 + 0*r).\nAnswer: -3*r**3 + 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 7*m - 15. Let y be h(8). Let w(q) = 5*q + 40. Let n be w(y). List the prime factors of -4 + 175 + -4 + n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/(-18))\/(2\/3). Suppose 27 = h*z - 48. What is the greatest common divisor of 135 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 3.76 (b) 0.2 (c) -2\/1495 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1399 + 0.2\nAnswer: -1398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32298?\nAnswer: 2, 3, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.052 + -62.052. Let u = p - -67. What is the nearest to 1\/4 in -2\/17, -2, u?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*b - 7*o + 4*o, -2*o + 2 = -3*b. What is the nearest to -7 in 1, 2\/13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/6 - 3*d. Let u(h) = 0*h**2 + 0*h**2 - 3*h**2 + h**2. Calculate o(u(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.3. Which is the biggest value? (a) -2 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**2 - 1384*w - 3164 = 0.\nAnswer: -113, -7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:56 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g. Determine z(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(42))\/sqrt(6))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*o**2*q*s**3 - 95*o**2*q*s**2 + 2*o**2*s**3 - 30*o**2*s**2 + 2*o*s**3 - 7*s**2 with respect to q.\nAnswer: -13*o**2*s**3 - 95*o**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286710 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -23. Suppose -2*d = 3*b - 4745 + 660, -u*d - 1358 = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 590 + 83?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 367127261 a multiple of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-144)*-3*3\/(-11))\/(585\/468).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26845 (base 9) in base 4?\nAnswer: -10130021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/49*3836\/(-8). Calculate the highest common factor of 959 and n.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 44\/5 of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 2 (b) 1\/7 (c) -5 (d) 1158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 392, 148, -330, -1120, -2300?\nAnswer: -3948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 46. Calculate the highest common divisor of 119 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = 3*o - 2*z, -2*o = z - 6. Solve 4*y - 5 = -o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4*r**2 + 605*i**2*r**2 - 2*i*r**2 + 28*i*r + 4*r wrt i.\nAnswer: 36*i**2*r**2 + 1210*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 9. Let x be z(-4). Suppose -x*f + v - 9 = 0, 5*v = -f - 0*v - 7. What is the common denominator of 1\/f - (-222)\/144 and 87\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**3\/6 + 3*t**2\/2 + 7*t. Let b be z(0). Suppose q - 3*l - 63 = -2*q, 0 = q - b*l - 25. Solve -7 + q = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 833 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65625, 65626, 65627, 65628?\n\"Answer: r + 65624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -337 (b) -3 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1368 and 13\/500184?\nAnswer: 9503496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-2 + 1 - (4 + sqrt(425)*-1 - sqrt(425) - sqrt(425))**2.\nAnswer: -3840 + 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*n - 93*n - 3*n**3)*(3 - 2 - 3)*((-4 + 4 - 2)*(-3 - n + 3) + 178*n - 12990 + 12990)*(-3*n + 4*n + n).\nAnswer: 2160*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -6, 0, -4.\nAnswer: -6, -4, 0, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 8*s**2 - 15*s\/2.\nAnswer: -s*(s - 15)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4210 and -83\/4210.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 1721*d - 337864. What is a(-226)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 4*f - 3*m, 0 = 84*m - 88*m - 16. What is the greatest common factor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 102*q - 32. Is i(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(1 + (-14)\/12). Let d = -10 - -30. Let i be (-1)\/(-5) + c\/d. What is the closest to i in 0, -3\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, n: 1, o: 2, d: 7}. Give prob of sequence yyy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnn when three letters picked without replacement from jntjnndqtqtfj?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*(-24)\/510. Which is the nearest to 0.1? (a) 1\/2 (b) 1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2)*i*i)**(1\/6)\/(i**(1\/4)*i*i**(2\/35)) assuming i is positive.\nAnswer: i**(-199\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 14. Let z be (-3 - -6)*m\/3. Let f be z\/(-18) - 21\/(-27). Solve 0 = w - f + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2003 + -2001. Suppose 4*z - 8*z = 0. Which is the closest to z? (a) y (b) -9\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324119377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 17. Let j be q(0). Suppose n + 4*n = 5*o - 95, -5*n = 20. Is o not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*y - 1, -4 = s + y - 12. Suppose 19*c = 12*c - 245. Let q = c + 37. Solve p + 3*p + 20 = -z, q*p - s*z = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 6*m**2 - 3*m + 2. What is the smallest common multiple of g(-6) and (-12)\/15*(-110)\/4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 863 + -862. Is y equal to -16\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**4)\/(c\/c**(-3))*c**(1\/2)*c**(-4\/3)\/c)\/((c*c**(-4)\/c*c)\/c*c**(2\/11)*c**(1\/5)*(c\/(c*c\/c**(2\/5)*c))\/c) assuming c is positive.\nAnswer: c**(-533\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 328.9936973 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80, -81, -82, -83?\n\"Answer: -u - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 37, 3, 5, -432 in decreasing order.\nAnswer: 37, 5, 4, 3, -5, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -24. Sort s, -5, 1 in decreasing order.\nAnswer: s, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 - -2)\/(3\/24). Suppose 114 - 14 = 5*m + 3*x, 4*x + 14 = 2*m. Calculate the highest common factor of j and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-6)*(-6)\/(-4). Let v = o - 1. Let f(u) = u**3 + 8*u**2 + 9*u - 3. What are the prime factors of f(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*o - 45 = 0, 5*l + o - 22 = 23 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1314 = 4*z - 2*w, 2*z - 4*w + 1623 = 7*z. What is the tens digit of z\/15 - 8\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.066\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojxm when four letters picked without replacement from {l: 1, x: 2, m: 1, j: 1, c: 3, o: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/4)\/(8\/32) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 - -10?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 + 245*q + 974. Let z be d(65). Put 1, 5, z, 107 in increasing order.\nAnswer: z, 1, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -28, -3, -0.2, 24, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let q = 18663 + 6722. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {m: 1, n: 9, v: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -9*y + 247. Put y, 17, -3 in ascending order.\nAnswer: -3, y, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -551, -557?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3389?\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 13002586*y\/7.\nAnswer: 2*y*(y - 6501293)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 484 - 474. What is the second derivative of 19*j**5 - 5*j + 28*j**5 + 11*j**5 - 6 + v*j - 8*j**5 wrt j?\nAnswer: 1000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 992 and 28?\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7038744 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f - t + 1, 0 = -4*f - 5*t - 13. Suppose -f + 9 = 2*r. Let p be 3 - (-2 - (2 + -2)). Sort p, r, -2 in ascending order.\nAnswer: -2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16678553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3\/50, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - (0 + 7)) - 4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5648 = 170*n - 624 + 76 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) -1\/60481 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in -4\/5, 0.5, 13, 2, -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 314, 318, 324, 332, 342?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 62.95.\nAnswer: -63.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -25*m + 1. Let g be k(-5). Let w = 25 + -17. Suppose -6*r + w*r = g. What is the remainder when r is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**6\/120 - t**5\/20 - t**4\/6 + t**3 - t**2\/2 + 1. Let r(p) be the second derivative of i(p). What is the units digit of r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98882782 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -9887 + 9861 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 + 6*o - 11*o**2 + 3*o**2 + 22. Let s be (-5)\/15 + ((-31)\/(-3) - 1). Let c be p(s). What is the nearest to -1 in -2, 5, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/15, -0.1, -2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 67, -3 in descending order.\nAnswer: 67, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let t(g) = -18*g**2 + 6*g. Determine t(o(n)).\nAnswer: -18*n**4 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, and 1 z when three letters picked without replacement from {p: 1, z: 1, n: 1, o: 2, g: 1, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -2\/3*f**3 + 2 - 7*f**2 + 0*f. Let q(m) = 0. Calculate m.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 6*l - 2*l + 0*l - 3 + 6*l. Suppose 3*s = -2*v + 54, 4*s + 4*v = 110 - 34. Suppose w = 5*h + s, -w + 0*w = -1. Calculate a(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 + 2.99. What is the nearest to h in 1, -0.3, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*j + 11 = -0*j, -2*t + 3*j - 8 = 0. Let i(h) = 3*h + 1. Let v(m) = 2*m + 1. Let f(g) = t*v(g) + 4*i(g). What is f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1131 = -a - 2*a, 5*d + 3*a - 1434 = 0. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 4*u - 25)*(u**2 + u - u) + 2*u**3 - 22*u + 3 + 22*u to l + c*u**3 + i*u + k*u**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82606136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57363*y - 57483*y + 115049*y.\nAnswer: 203*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35307*q + 351*q**2 - 35307*q)*(-4 + 2*q**3 + 6 + 0*q**3) - 47 + 23 - 2*q**5 + 25.\nAnswer: 700*q**5 + 702*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 607 - 253. Find the second derivative of 9*f + 13*f**5 + q - 354 wrt f.\nAnswer: 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*p = 1274*p - 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(1\/6)*c)*c*c\/c**(-2\/7)*c**(-7)*c**(-4))**(-45) assuming c is positive.\nAnswer: c**(4965\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*(-71)\/((-3976)\/(-24))*133?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 7*x. Let u(n) = 3*n + 11. Let b(m) = -c(m) - u(m). What is b(6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5472581 (base 9) in base 16?\nAnswer: -2ce150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -20. Suppose 4*n - 23 = d. Calculate the least common multiple of n and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19752197 to the power of 1\/2, to the nearest integer?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 166711, 666836, 1500377, 2667334, 4167707?\n\"Answer: 166708*p**2 + p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20\/1049 - 3047\/5245. What is the smallest value in d, 444, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -2 + -188 + 196?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 3237*x + 3027*x + 14*x**2 - 19*x**2 + 4*x**2.\nAnswer: x**2 + 6264*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 20, -27414 = 14*t - y - 27404 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 2*a - 130 = -3*a - 21*n - 313, -3*n - 21 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -5\/3*o**3 + 0*o - 54 + 20*o**2. What is r in d(r) = 0?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91353245 or -91353251?\nAnswer: -91353251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27468487 >= 27468502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 0.04821.\nAnswer: 0.35179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2016 and (94\/30 - 3) + ((-30224)\/60)\/(-2).\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*d - 18 = 0, -i - i - 3*d = 1. Let a(q) = 2*q - 5 + 2*q**2 + i*q - 5. Is a(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/1344*j**8 + 0*j**3 - 5*j**2 + 0 + 0*j**4 - 1\/840*j**7 + 1\/480*j**6 + 0*j + 1\/240*j**5. Factor u(b).\nAnswer: -b**2*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-2))\/(-7)*((-4752)\/847)\/6.\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1263663842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 28 = 4*x, 33 = 20*k - 16*k - 5*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -5*d - 4. Suppose 3*g + 15 = 0, -30 = t - d*t - 4*g. Calculate the least common multiple of t and 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18925.1 from -3.\nAnswer: 18922.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32243, -63872, -95501?\nAnswer: -127130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -172*h**2. Let y(l) = -l**2 - 3*l. Let a(q) = 2*q**2 + 5*q. Let w(x) = 3*a(x) + 5*y(x). Determine f(w(s)).\nAnswer: -172*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - a + 3*a + 118 = 0, 3*n - 6*a - 223 = -108 + 209 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 71*u**5\/5 - 7*u**2\/2 + 38*u + 784. What is the second derivative of d(a) wrt a?\nAnswer: 852*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17546 or -17573?\nAnswer: -17573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 4*l + 3. Let a be m(3). Let q be 263 - (a + 3 + 0). Let i = q - 145. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124021227 and 1784.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 5*q**4\/24 + 5*q**3\/6 + q**2. Let b(s) = -12*s + 28*s - 26*s + 9*s. Determine b(g(t)).\nAnswer: -5*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 20*y**3 + 74*y**2 + 52*y.\nAnswer: -2*y*(y - 13)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*28\/7)\/(12\/10*695\/(-1112)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209 + -205. Suppose -7177 = -5*u + 4*q, 3*u - 6*u + 4319 = o*q. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4\/3 + 3454*f**3\/3 - 574*f**2 - 3454*f\/3 + 1726\/3 = 0. Calculate f.\nAnswer: -1, 1\/2, 1, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17412, -17413, -17414, -17415, -17416?\n\"Answer: -u - 17411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 505.865 - -5692946\nAnswer: 5693451.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 + -66 + (-95 - -5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-13)\/((-26)\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-88)\/(-11)) + (5 - 1). Suppose g = -9*n - 6*n + 232365. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2. Let t be w(0). Suppose 3*h - 348 + 51 = t. Let n(g) = 14*g + 1115. Let y be n(-79). Calculate the greatest common divisor of y and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 230? (a) -1 (b) -119 (c) -5 (d) 0.6 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 647*i + 627*i - 108 = 0, -3*a + 39 = -i for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11381, 11392, 11419, 11468, 11545?\nAnswer: 11656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22729 + 58268. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (-54 - (-179 - -23))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, b: 9}. What is prob of sequence pb?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-208)\/(-20) - (-9)\/15. Suppose 0 = 4*v + 3*y - 44, v - y = -5*y + h. What is the remainder when 30 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p + 2. Let b be (-18)\/21*(-2217 + 5). Let j(v) = 1896*v - 4*v**2 - b*v. Give j(d(n)).\nAnswer: -576*n**2 + 192*n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*s - 207534 = -126*s - 9012. Which is bigger: s or 535?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {k: 7, v: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/20 - f**4\/4 - 4*f**3\/3 - 33*f - 2. Give j(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + m**4 + (m**3 - 5*m**3 + 0*m**3)*(0*m - 2*m + 0*m) - 115*m**4 - 176*m**4 + 12*m**4.\nAnswer: -270*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = 0, 5*f - 4*n = 28 + 12. Let z(b) = 3*b**2 - 4*b + 3. Let c be z(2). Is c at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/50 and 91\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:13 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 17, 16, -39, 0 in ascending order.\nAnswer: -39, 0, 2, 7, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5649 + 29314 = -4733*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -632, -1158, -1698, -2258, -2844?\n\"Answer: -k**3 - k**2 - 516*k - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*c = -600. Let u be 3 + 36\/(-14) - c\/(-21). List the prime factors of (-2)\/((u\/(-42))\/((-18)\/(-27))).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.759 take away 105.31190302?\nAnswer: -107.07090302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3127 = 16*g - 27127. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.9, -9, 4, 0.4, 114?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -0.033. Let c = -0.017 - p. Sort c, 0.4, 0 in ascending order.\nAnswer: c, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from ssastsan?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -207613 (base 8) to base 12\nAnswer: -3428b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2583 and 301021.\nAnswer: 111076749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125*r**5 - 11925*r**4 + 6360*r**3 + 11528*r**2\/3 + 1712*r\/3 + 80\/3 = 0 for r.\nAnswer: -2\/15, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 21*s + 936 = 0. Let k be (-45)\/(-130) - (-3)\/s*-6. Let w = -0.28 - 0.02. What is the nearest to k in w, -6\/7, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -5*w - s - 2*s, s = -3*w + 64. Suppose -6*v - 5 + 47 = 0. Suppose 0 = -0*u + v*u - 49. What is the greatest common divisor of u and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 25. Let l = -15 - j. Calculate the lowest common multiple of 9 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 14*m + 24. Determine x(-9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-105)\/14)\/(3\/4). Let l(s) = s**2 + 4*s - 17. Let q be l(-8). Let d = g + q. Solve j - 2 = -5*c + 5, 1 = -2*j + d*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, j: 3, l: 1}. What is prob of picking 2 p and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**7\/42 + 2*k**4\/3 - 10*k - 29. Let h(y) be the first derivative of v(y). What is the third derivative of h(r) wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*r + 20*r + 229 - 41*r to the form p + a*r and give p.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 + -381. What is the second biggest value in 0.3, t, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 28*q. Let s(u) = -3*u. Determine s(k(n)).\nAnswer: 3*n**2 - 84*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 + 3*f + 4. Let p be h(3). Suppose q = m + 3, 5*m - p*q + 9 = -6. Sort m, -1\/3, 4.\nAnswer: m, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 + 31*w + 9. List the prime factors of a(-15).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 38. Is 0 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 149 = 3*i + 2*r, 2*i = -2*r + 102. Suppose -4*y - y + 222 = -t, 34 = y + 5*t. Calculate the remainder when i is divided by -3 + y\/16 - 462\/(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(1*3*sqrt(104) - sqrt(104) - sqrt(104)))\/((sqrt(48)\/sqrt(75))\/(-2*(sqrt(2) - (sqrt(2) + -1*sqrt(2))))).\nAnswer: 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 7*o + 6. Let j = 4 - 9. Calculate the lowest common multiple of 5 and h(j).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7913, -31713, -71381, -126917?\n\"Answer: -7934*x**2 + 2*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2)\/(1\/11). Let s = 111522.1 - 111522. Which is the nearest to s? (a) -5 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8350, 25, 1, 0, 4.\nAnswer: -8350, 0, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63*k + 108*k - 167*k)*(3 - 5 - 4) in the form i + c*k and give c.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -273 (b) -14\/5 (c) 0.3 (d) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18837 or -18829?\nAnswer: -18829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -124?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0181, 0.2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 2209176660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 26475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 508*n**3 + 708?\nAnswer: 1524*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let d = -926.4 - -928.4045. Let x = d + l. Round x to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8381 rounded to one decimal place?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 + -264. Let k = -66 - -72. Suppose 0 - k = -2*z. Solve 0 = -b - z - i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1101010101010010110?\nAnswer: -1101010101010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 576?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwwwtwpwtntb. What is prob of sequence wtt?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 2. Let y = -4.3 + 4. Let x = y - -0.2. Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4072.\nAnswer: -1\/2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -27*j**2. Let o(n) = 2*n. Let c(b) = -4*b. Let v(l) = -4*c(l) - 7*o(l). Give v(k(t)).\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107\/3317*-62)\/(26\/2*-7).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 9. Let j = h - -29. Suppose 0*r = -r + j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101924861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -14*z - 2. Let m(u) = -u - 1. Let a(b) = -3*m(b) + w(b). Let q be a(1). Let g be ((-11)\/2)\/((-1)\/(-2)). Is g at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 2054?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16005 = 227*h - 224*h - 2*x, -2*x = h - 5343. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704722 divided by -4?\nAnswer: -852361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 3. Let c be (-1 + (1 - x))*3. Suppose 0*k = -c*k + 6. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {i: 1, b: 7, s: 10}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 81 = 15*h - 3*z, 5*h - 3*z - 135 = 0. Suppose -27*m = -h*m - 2856. What are the prime factors of m?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 51. Calculate z(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(204)\/(sqrt(108)*-2).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 10. Suppose 3*s = -4*l + 50, -4*s - 78 = -5*l - 0*s. Give w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.03, -0.8, 1\/2, 5\/2, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062299*3.\nAnswer: 0.186897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqj when three letters picked without replacement from ypjyyqpqypppbypjyjjy.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106 = 163*b - 5*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 432, -186, 0, -12, -5, -18 in decreasing order.\nAnswer: 432, 0, -3, -5, -12, -18, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.2, 2\/7, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -750315.67999596 - -750317.67. Let i = b - 1.99. What is i rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1667*c**2 - 158357*c + 768. Calculate w(-95).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.7 and -560.\nAnswer: -564.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1036967.372 minus 0.0682?\nAnswer: -1036967.4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3112, -5155, -8562, -13333, -19468, -26967?\n\"Answer: -682*z**2 + 3*z - 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-2\/11)*u)\/u)\/u)\/u**(-10))\/(u**(-2)\/u*(u*u\/u**(-8))\/u) assuming u is positive.\nAnswer: u**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28108 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8766 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a**(4\/11)\/a))\/a))**(-34)\/(a\/(a*(a*a**17*a)\/a)*a**(-26\/7)))**(-2\/43) assuming a is positive.\nAnswer: a**(-1440\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 78, 123, 196, 303, 450?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -120*l**4 + 10*l**3 + 16*l**2 - 14. Let k(a) = -24*a**4 + 2*a**3 + 3*a**2 - 3. Let g(h) = 16*k(h) - 3*s(h). Differentiate g(c) with respect to c.\nAnswer: -96*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23045748 or -253503243\/11?\nAnswer: -23045748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -33*y - 170. Give q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - 2\/6. Suppose -5*i + 14 = -2*w, 3*i - 9 = -5*w + 18. Solve -x + 4*x - w = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 202\/4 - (-9)\/6. Let c = x + -50. What is the third derivative of -25*k**2 - 2*k**3 + c*k**3 - 3*k**5 + 31*k**2 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - a = 4*g - 594002, g + 3*a - 198006 = 0. Round g to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 2) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25388 + -5?\nAnswer: -25390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/3 + 4*c**3 + 18*c**2 - c. Factor z(d).\nAnswer: 4*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 331 + -2?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11031314 (base 5) in base 2?\nAnswer: -10111011001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*o - 21*o + 366*o + 249*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123 + 3?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*w - 18*w + 3265 - 337 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b (base 13) to base 16.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 218793*i**2. Let k(h) = -h. Calculate b(k(w)).\nAnswer: 218793*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - -6) - -9 - 33?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x. Suppose x = 3*w + 21. Let f = -120 + 120. Is w less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 2*b + 2*b + (2*b + 0*b - 4*b)*(-2 + 3 + 1))*((1 - 1 - 2*b)*(-2 + 5 - 5) + 2*b + 2*b - b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c - 4. Let x(v) = -46*v + 19. Let o(w) = -11*h(w) - 2*x(w). Differentiate o(d) with respect to d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*j = 57, 5*k - k - 59 = j. Suppose -5*h = 1 - k. Suppose -h*m + 2*s + 197 = 7*s, -5*s - 251 = -4*m. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -14313?\nAnswer: -14313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1032\/(-1677))\/((-6)\/13)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 6128*f**2 - 5956*f + 257208.\nAnswer: -4*(f - 6)*(f + 7)*(f + 1531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 949 - 922. Let b(m) = -6*m + 2. Let v be b(4). Let f = v + d. Solve -f*k + 24 = -n + 4*n, n + 3*k - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 14*v**2 - 13*v + 6. What is y(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3562066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + f + 15, -3*z + 0*f = -5*f + 10. Which is the closest to 5? (a) z (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8*n = -10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -872*c - 9. Let d(b) = 1743*b + 16. Determine 6*d(p) + 11*q(p).\nAnswer: 866*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 a factor of 1121652987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1037503*u + 24. Let i be 6\/2*(-10)\/(-30). Suppose 2*s - 8 = -2*r, -s - i = 3. Let g be q(r). What is g rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 16735 - 16735.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 0, 11 in ascending order.\nAnswer: 0, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/12 + 3 + (-44)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284 and 4.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:06 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2942 divided by 1471?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9232.461ug in milligrams?\nAnswer: 9.232461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**8\/1680 + h**6\/15 + h**4\/2 + 4*h**3 + 31. Let n(b) be the third derivative of t(b). Differentiate n(a) with respect to a.\nAnswer: 4*a**3 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1474 - 4242. Let o = m + 3712. Let l = -3917\/2 - o. What is the common denominator of l and 23\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iku when three letters picked without replacement from dddkuiiudu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 236 - 233 - ((1 - -22) + -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 6*i**2 + 6*i + 9. Let p be z(7). Sort -1, p, 5 in descending order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 2:28 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -3 - 8\/14*315\/180.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -848 + 416e?\nAnswer: 3826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22454, 6, 2, -1 in descending order.\nAnswer: 22454, 6, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33277681*j + 16638797*j + 16638883*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -86, -198, -366, -596, -894?\n\"Answer: -g**3 - 19*g**2 + 2*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38494\/459 - 1398\/17. What is the common denominator of -145\/12 and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 1 r when three letters picked without replacement from ndddncdcndrdc.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1358482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n + 560 - 288 = -523 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**2 - 2*c + 12. Let t be j(5). Let a = 236 - t. Solve 4*q + a = -0*q - 5*u, 3*q = u - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddcddddddddddd. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/207*-1*2*-4?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 18*h + 2. Let a be y(-10). Let l(c) = c + 18. Let x be l(a). Solve t**2 - 1\/2*t**3 + 0 + x*t = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -372, -374, -376, -378, -380?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 9. What are the prime factors of 12\/(-30) - 102\/i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.3, -0.1, -27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 4*v + 4*v)*(-v**2 - 2*v**2 + 5*v**2) - 51*v**4 - 39*v**4 - 68*v**4 + 0*v**4 - 2*v**4 + 4*v**4.\nAnswer: -150*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/720 - 11*t**5\/120 + 121*t**4\/48 - 1331*t**3\/36 + 3*t**2 + 15. Suppose c(u) = 0. What is u?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + x + 1 + 1 = 0, -5*h - 4*x = -17. Let w = 173 + -171. Factor -6*g**4 + 0*g**w - 2*g**2 + h + 3*g**4 + 4*g**4.\nAnswer: (g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1 - 6) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809.5011 rounded to the nearest ten?\nAnswer: -1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -50. Let v be 8\/(-28) + 32\/o. Suppose -v*b = 3*f - 5*f + 9992, -2*f = -5*b - 9980. What is f rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 99\/4. Let v = -16 + 15.9. What is the closest to z in v, -2, 3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -p - 5, v + 2 = -5*p - 5. Sort p, -2, -4, -31 in descending order.\nAnswer: p, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -882, -1780, -2676, -3570, -4462?\n\"Answer: o**2 - 901*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 4. Let x = 4 - 6. Suppose 616 = 4*w + 10*w. Let o be w\/36 + x\/9. Let p(g) = 1. Determine o*k(c) - 5*p(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 31886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000883693 rounded to 7 decimal places?\nAnswer: 0.0000884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(228)*2*-6*-5)\/(sqrt(300)*-2*6 - sqrt(300)) + 5))**2.\nAnswer: -1080*sqrt(19)\/13 + 62649\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 37*m + 1. Let x(w) = w**2 + 19*w + 1. Let q(h) = 11*x(h) - 6*z(h). Let k be q(-13). Suppose 6 = k*y + 1. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*j = -12*j + 61586. Put j, 4, 3 in increasing order.\nAnswer: 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-1 - -9) + -2 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 517192.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7292, -14609, -21924, -29237?\n\"Answer: v**2 - 7320*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1.165458?\nAnswer: -5.165458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*j**3*u**4 - 30*j**3 - 2*j*u**4 - u**2 + 2*u wrt u.\nAnswer: -2208*j**3*u - 48*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(1\/8)*g))\/((g\/(g\/((g*(g*g**1\/g)\/g)\/g)))\/g)*(g\/g**(-6))\/g**(1\/4) assuming g is positive.\nAnswer: g**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/22 + 27\/33. Is 31005\/60 + x\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*96*67\/4288.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54970\/15)\/((-7618)\/(-7617) - 1). Suppose -4548811 - 2464955 = n. Let a = n + o. Round a to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/651 - -1280\/7161. Which is the closest to 2? (a) g (b) 4 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 5. Calculate the least common multiple of 11\/(-2)*(32 - 38) and p.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 1 l when three letters picked without replacement from {s: 11, f: 1, i: 3, l: 1, y: 1, u: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80885 and 420.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 + 134. Let u = d - -99. What is the fourth smallest value in -4\/3, 3, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o**2 - 55*o. Let w(p) = p. What is 2*j(q) + 110*w(q)?\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -25. Let p be 12\/(-9)*1\/(-6). Let x = 2.31 + 2.69. What is the closest to 2\/7 in x, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 11*n**3 - 221*n**2\/2 + 181*n - 8 = 0.\nAnswer: 1\/22, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/((-600)\/(-24))*25\/(-10)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40558\/3281 or 13?\nAnswer: 40558\/3281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 72*q**3 + q**2 - 66*q + 131. What is o(2)?\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbn when three letters picked without replacement from nenennnvnggmbnn?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*s - 30 = s, 2*s + 6 = -x. Let h be 402\/24 - x\/(-8). Let r(u) = -u**2 + u + 4. Let p be r(0). Calculate the greatest common divisor of h and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -7*c + 11*c - 30, 4*r = 5*c - 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2442 = -2*c + 4*w, -c - 1233 = -2*c + 5*w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84596 is divided by 2346.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1931631 - 1931631.05399908. Let r = 0.054 + w. What is r rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 441 + 708 + 681 - 1830.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111996 is divided by 111995.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 494*0.06\nAnswer: 29.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45947070 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274884326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a. Suppose 5*c = -5*s - 40, 6*s - 3*c - c = 2. Let t(u) = 10*u. Give s*t(d) - 2*f(d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(126)*-5 - -1*-3*sqrt(126))\/(-6*(-1*sqrt(28) + sqrt(21)\/sqrt(27))*1))**2.\nAnswer: 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29166 times -0.2?\nAnswer: -5833.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and 469?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -381, -889, -1611, -2553, -3721, -5121?\nAnswer: -6759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -9 - (-2 - 1)) + -452 + 500 + -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -39*m - 270. Is 4\/m - (-441324)\/60 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-15))\/((-9)\/(-120)). Let z(f) = -6*f + 4. Let p be z(0). What is the highest common factor of c and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 50. Let o be c(44). Suppose 0 = -v - 0*v + 4. Solve -v + o = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0. Let x = 5 + 16. Let g be 0 - 1\/(x\/2). What is the smallest value in -2, g, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**6\/120 - x**5\/60 + x**4\/8 - x**3\/6 - 3*x**2. Suppose -3*k = -3*p - p - 12, 0 = -2*k. Give a(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 135, 246, 319, 336, 279?\n\"Answer: -3*o**3 - o**2 + 135*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108069791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 2. Let r(k) = k. Determine l(o) - 6*r(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:40 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1310 - -1309.5. What is the nearest to 0 in -3\/16, x, 0, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41348926845 and 0.1431.\nAnswer: -41348926844.8569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 546 - 529. Calculate the remainder when 132 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 1328.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -16*q**2 + 179*q + 27. Determine n(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.3 + 24. Let o = -0.6 + 0.1. Put o, 0.1, r in decreasing order.\nAnswer: 0.1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 3 + d + 6 + (4*d + d - 6*d)*((-1 + 0 + 3)*(4 + 0 + 0) + 1 + 1 - 3 + (1 - 4 + 4)*(-4 + 0 - 1)).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(1 + 3 - 2)*(-46*x - 27*x - 7*x) in the form i*x + w and give i.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -57948.\nAnswer: 1158.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -859.03 - -866. Let j = 7 - g. Round j to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2847 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -328871.013 rounded to the nearest ten?\nAnswer: -328870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x - 7. Let z(w) = -3*w - 2*w - 1114 + 1118 - 3*w. Let p = -5 + -1. Determine p*l(u) - 11*z(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5 + (-2 + 1 - 2)*(-1 - 1 + 3) + 1 + 2 + 0)*(0*m - 5*m + 2*m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:24 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one fifths of a meter?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 25*j - 12. Calculate i(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 18. Let z be a(7). Let u(h) = h**2 + h - 1. Let t(f) = -3*f**2 - 4*f - 2. Let b(j) = -t(j) - 2*u(j). What are the prime factors of b(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/44 and -23\/74544876.\nAnswer: 819993636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -166223.6 and -116291.\nAnswer: -282514.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 r when three letters picked without replacement from jjerhhrrhrh.\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 242. Suppose 0 = u - z - 2 - 56, 3*z = -4*u + d. Find the common denominator of -23\/24 and -2*u*6\/192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*26.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -1499 in descending order.\nAnswer: 2, -2, -1499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1393*c - 4214*c + 1412*c + 1407*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 20, 13, 2\/9, 0.5 in descending order.\nAnswer: 172, 20, 13, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 1. Let b(a) = -8*a**2 + 56*a + 28. Let q(w) = -2*b(w) + 56*f(w). Let t(o) be the second derivative of -o**4\/6 - 2*o. Calculate q(t(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 55, 3\/5, -1\/4, -38\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 93. Let u(v) = -10*v**3 - 12*v**z + 15 - 4*v**2 + 21*v**3 + 8*v + 16*v. What is the hundreds digit of u(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 76699 = -328*z + 335*z, -3*q = 4*z - 46020. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.3 + 14.248. Are o and 2\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 99.89717 kilograms?\nAnswer: 0.09989717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 + -5?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n. Let t = 10 + n. Suppose 3*m - 2 = -3*s + 1, -3*s = -4*m + 18. Solve m*b - b = -t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25117828613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -579*p**3 + 301 wrt p.\nAnswer: -1737*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syns when four letters picked without replacement from {n: 1, g: 2, s: 2, r: 2, y: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82276*u + 1311525.\nAnswer: -82276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 4:03 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3371 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = -43*m - 70*m + 785 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -320 and -61040?\nAnswer: 19532800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -a - 13, 6*a + 962 = h + 1906 - 966 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 + 10*i**3 - 43*i**3 + 24*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(5 - 1392\/279). Suppose -a + 5*a + q = z, z + 342 = -5*a. Let l = 68 + a. Sort l, 0, -9.\nAnswer: -9, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -1080643557518?\nAnswer: -1080643557504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c\/c**(-2\/9)))\/c)**(-44))**(-1\/10)\/((c*(c**(-2\/5)*c*c)\/c*c*c*c\/(c*c**(-4)\/c))\/(c\/(c*c**(-1\/7)*c)*(c\/c**(6\/11))\/c)) assuming c is positive.\nAnswer: c**(-68539\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 114\/(-5) + (-4)\/20. Let q = -11 - x. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*a + 39*a - 83*a)*(3 - 3 - 2*a)*(-a - 3*a + 2*a) to b*a**3 + t*a**2 + m*a + j and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-10)\/20).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -310590*f**3 + 8171205*f**2.\nAnswer: -1863540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204978 - 1831?\nAnswer: -206809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -c + 2*p, -c + 4*c - 2*p = -74. Let v = c + 30. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 531*m**3 - 9552*m**2 + 42903*m + 486.\nAnswer: 3*(m - 9)**2*(177*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - (-3 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 432036049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 97*n + 46. Is q(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 4:07 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 53.14\nAnswer: -956.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 26*t - 200 = 0. Suppose 5*p - 1 = -2*x, 0*x + 2*x - 4*p + 8 = 0. Sort -3, x, 1, t in increasing order.\nAnswer: t, -3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ettteeette. What is prob of picking 3 t and 1 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 3*q + 4 + 0*q + (2 - 1 + 1)*(5 - 5 - 2*q) + 2*q + q - q.\nAnswer: -5*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x + 20. Let t be (-12)\/x*35\/(-3). Let v = t + -19. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9239088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 198714 = 55046. What are the prime factors of n?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/477) + -3. What is the units digit of f\/(-21) + 4\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1215496823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57621831 or -57621832?\nAnswer: -57621831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2531 - 29363\/12. Let o = -250\/3 + q. Factor 3\/4 - 3\/4*t**2 + o*t**3 - 3\/4*t.\nAnswer: 3*(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1414*(42550\/644 - 66)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 530443374 divided by -2\nAnswer: -265221687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 3*d)*(-7 - 60993*d + 7 + 55372*d).\nAnswer: -11242*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/6)\/(12\/36). Let d(y) = 4*y - 11. Let b(u) = 2*u - 6. Suppose -7*h + 3*h = 5*r + 45, -4*r = -4*h. Let l(z) = h*b(z) + 3*d(z). Give l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by 3\nAnswer: -109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:00 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59251 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 13*i**2 - i + 30. Let u be x(-6). Which is the second smallest value? (a) u (b) -4 (c) -440.2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, z: 3, e: 2, x: 3, n: 3, t: 1}. Give prob of sequence zz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -376 + 384. Is 9491*(2 - 4)*y\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 + -2?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 1838858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/1579 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 + 0.4. Let b = s - 0.16. Suppose 0 = i + 3*i. Is i smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -16*x**3 + x**2 - 2*x + 1. What is p(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 at least -6823\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 + 1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 - -194?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 44 = 3*m. Let x = -18 + 27. Let f = x - -2. Calculate the least common multiple of f and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/3 + d**3\/6 + 3*d**2. Let h be r(-2). Let z be (9\/h)\/(3\/(-15)). Solve 0*q = 2*q + 2*t + 2, -z = t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55870 divided by 37?\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 9) + 1 + 10. Suppose k*g + 12 + 0 = 0. Is g > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p\/p**(-4))\/((p*p\/p**(-2\/11))\/p*p**(5\/4)) assuming p is positive.\nAnswer: p**(251\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -606764499*a**3 + 242058825*a wrt a?\nAnswer: -3640586994*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-54)*3 + (-10)\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559082834 to the power of 1\/2, to the nearest integer?\nAnswer: 23645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146 and -5?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q + 1. Let y = 8 + -5. Suppose 0 = 5*o - 3*o - 2*m + 2, -5 = o - y*m. Determine c(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 1353706*h\/9 - 4963508\/3.\nAnswer: -2*(h - 676842)*(h - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:31 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*n + 0 = -20, -3*p - 15 = -5*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 3 + 2*v**4 + 4 + (0*v + v**2 + 0*v)*(v**2 + 2*v**2 - v**2).\nAnswer: 4*v**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/684444?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 + t - 1. Let m(z) = -6*z**3 - 18*z**2 - 14*z + 6. Let g(n) = -m(n) - 5*s(n). Is g(-12) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 969*u - 109757. What is g(-131)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3187\/2*(2 + 0). Suppose 3*d - h = 2246. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 - 6*x + 3*x + 3 + 9*x**2)*(3*x + 2*x + 13*x).\nAnswer: 36*x**3 - 54*x**2 + 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 98*v**2 - 121*v - 674. Let r be h(-6). Which is greater: 10739\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 - -139. Which is the nearest to -1\/4? (a) p (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26633 - 3?\nAnswer: 26630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 22428.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-918)\/90 + 32\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 423\/455 + -12\/13. Let m = 11381\/910 - w. Factor -m*t**4 - 2 - 15*t**3 + 6*t + 11\/2*t**2.\nAnswer: -(t + 1)**2*(5*t - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*d**3 - 7*d**3 - 10*d**2 + 4*d**3 - 9*d**2 to r*d**3 + v*d**2 + t + c*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 18014340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.4 - -4.5. Let b = p - -1.9. Let s = -3 - b. What is the third smallest value in -4, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011101 - 1011?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -438 + 437. Which is smaller: -22\/37 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/4 - 3839*a\/4 + 5763\/2 = 0.\nAnswer: -3842, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1445.492 millilitres?\nAnswer: 1.445492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 542 - -10a01?\nAnswer: 11343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22123 + 101?\nAnswer: 22224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7))\/(10\/3850*-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 358 - 67 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 4*i + 3*i - 87*i - 13 + 4 + 85*i + (-3 - 1 + 3)*(0*i + 3*i - 2*i) to m*i + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 29113*q - 100*q**3 - 2 - 29111*q + 96*q**2.\nAnswer: -100*q**3 + 96*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 + 7 + 1*62?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1961b - -5?\nAnswer: -19616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 10. Let r(m) = 8*m + q*m - m + 3 + 3*m**3 - 8*m**2. Let x(d) = 4*d**3 - 12*d**2 + 14*d + 5. Let c(g) = -7*r(g) + 5*x(g). Give c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943965359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*o - 4*o - 131, -4*m - 5*o + 113 = 0. Suppose -4*c + 17 = -27. What is the remainder when m is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -20*u - 645. Let d(m) = 7*m + 215. Give -17*d(y) - 6*n(y).\nAnswer: y + 215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, 1.38, 5.1 in ascending order.\nAnswer: -2\/3, 0.4, 1.38, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -676*d. Let l(u) = 15*u. Let k(v) = 6*g(v) + 273*l(v). Let p(a) = -2*a. Calculate p(k(j)).\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkoo when four letters picked without replacement from {o: 2, g: 3, k: 9, h: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**4\/12 - 9*u**2. Let h = -7 + 18. Let s(m) = h - 2*m - 11. Calculate r(s(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574\/19 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0 (b) -5 (c) -2\/5 (d) -172.73 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 125 = 4*b - 400, -4*b + 785 = 3*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 25 - 51 = 0. Let n(z) = -5*z**3 - 2*z**2 - 3*z + 1. What is the remainder when 74 is divided by n(l)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 15\/74, 1, 0, 3\/7, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Differentiate 3 - 5*s**3 + c - 2*s**2 + 2*s**2 with respect to s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) + sqrt(130)*-2*3 + sqrt(130)))\/(1*sqrt(30)\/sqrt(3)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(2\/(-10)) - 0. Suppose 0 = -3*z + 6, 4*f = -d*z - 4708545 - 5291445. Let o be (-3)\/(-3) + f + -1. What is o rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -750 - -760. Solve 5*i + c = p + 10, 0 = -5*i - 2*c + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-2\/5)))\/s*s*(s**(2\/13)*s)\/s*s*s**(6\/11)\/(s**(2\/3)*s) assuming s is positive.\nAnswer: s**(-788\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 884 and 3334864?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 + 38157*u.\nAnswer: 3*u*(u + 63595)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 7*o**2 - o + 4. What is j(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089.661 rounded to the nearest ten?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 0*q**2 - 5*q**2)*(-5 + 3 + 1) - 14*q - 57*q**2 + 33764 - 33764.\nAnswer: -55*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -111.3. What is the closest to -0.1 in -5, x, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 77462?\nAnswer: 309848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*z - 2*z - 502*z = -258*z - 13073 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/12 + 31*j**3\/6 - 99*j**2\/2 - j + 132. Let x be n(-34). Solve c = 5*c + x*f - 1, c + 16 = -4*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raarcraammcmapmcrr. What is prob of sequence pm?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513507247.\nAnswer: 7, 30887903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*u + 22. Suppose -2*s = -u, -4*s = -3*j - s. Factor 1 - 6*p**2 + 27 - 4 - 20*p + 10*p**j.\nAnswer: 4*(p - 3)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 9. Let t(n) = 4. Let r(k) = -5*t(k) + 2*w(k). What is the remainder when (-4)\/14 + 228\/14 is divided by r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 9. Let c(r) = -r**3 + 7*r**2 - r - 6. Let w be c(7). Let i be k(w). Find the second derivative of j**4 - 6*j**i - j - 3*j wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**2 - 2*k**4)*(k + 0*k + k) - 382*k**5 + 190*k**5 + 267*k**5 + 0 + 3*k**5 + 0 + 6*k**5 - 4*k**5 - 3*k**5.\nAnswer: 73*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1602406*k*n + 1677706*n wrt k.\nAnswer: 1602406*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -504.13051042 - -504.13. Round s to 6 decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**3\/4 + 9*z**2\/8 - 3*z\/2 + 54. Factor p(c).\nAnswer: -3*(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.9 - 37.79. Let h = 75.11 - z. Let u = h - 79.2. Round u to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 - 173*t**2 + 40*t + 129 = 0. Calculate t.\nAnswer: -3\/4, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185202, 185210, 185218?\nAnswer: 185226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/12 + 171*m**2\/4 - 335*m - 2525\/3 = 0. Calculate m.\nAnswer: -2, 10, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1158*c**3 - 1341*c**3 - 1050*c**3.\nAnswer: -3549*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492076 - 149302 = -12816*n + 4030*n for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 7*k + 7. Suppose 0 = b - 2. Suppose 2 = -3*u + b*m - 22, 5*u = 2*m - 36. What is the units digit of r(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.2 (b) 0.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4 + 4)*(-16*d - 25*d - 58*d + (d + 2*d - 4*d)*(-1 - 3 + 2)).\nAnswer: -97*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20301 is divided by 269.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -21*v**3 - 81*v - 9. Let j(c) = -5*c**3 - 20*c - 2. Determine 9*j(g) - 2*x(g).\nAnswer: -3*g**3 - 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**2 + 4*u - 1. Let z(h) = h. Let a(l) = -i(l) + 6*z(l). Suppose -11*w + 3*w = -16. Suppose -2*n - 5 = d, -w*n - n - 6 = d. What is a(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**4 - 51*m**3 - 207*m**2 + 555*m - 300 = 0.\nAnswer: -5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 16*l**2 - 2*l + 4. Let t be n(1). Let w be (8\/t)\/(33\/33). Which is the second smallest value? (a) 5 (b) w (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.91 minus 0.6513813032?\nAnswer: 115.2586186968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 508, 2, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31768 (base 10) to base 16\nAnswer: -7c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 1.9. Let w = s + -2. What is the second smallest value in -2\/3, -2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 29 (b) -6 (c) 2\/11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15*z**2. Let b(s) be the third derivative of 0 + 3*s**2 + 0*s**4 + 1\/60*s**5 + 0*s**3 - 9*s. Determine f(b(m)).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1615795076.00000041 - -1615795116. Let x = 40 - s. Round x to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2 - 5 + 8*j**2 + 6 + j**3. Let i be g(-8). Suppose -3*h - 3*s = -6, 0 = -3*h + 2*s - 4 + 20. Solve 0*t - i*t - 5*y + 10 = 0, 0 = t - 2*y + h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*s = -7, i + 3*i - s = 3. Suppose -w + 4*z = -i*w - 6, -2 = w + 2*z. Find the third derivative of 116*v**w - 220*v**2 + 116*v**2 - 15*v**6 wrt v.\nAnswer: -1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 + (-32)\/(-1))*1\/(-1). What is the third biggest value in r, 0.2, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-14)*-59 + (-164)\/(-287). Let k(i) = -3*i + 29. What is k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-11)*(-2849)\/111.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, r: 7, w: 2}. Give prob of sequence rhww.\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -45691\nAnswer: -2\/45691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(1152)*-5))**2.\nAnswer: 17\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s**2. Let o(c) = -5*c**2 + 4 + 16 - 20. Determine q(o(j)).\nAnswer: 375*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + (-38 - -45) + 12386\/(-1128) and 131\/24.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -94*i**2 - 154*i + 307. Determine l(2).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 5*f - 4. Let o be u(5). Let n = -2823\/7 + 403. What is the closest to 0 in 1\/4, n, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19190 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4964.683ng to milligrams.\nAnswer: 0.004964683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/75 + 0)\/(2\/(-10) - 0).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 31*g + 65. Let v be n(24). Suppose v = 9*b + 176. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-288)\/30)\/((-120)\/200). Suppose 0 = -2*a - 3*a + 15. Suppose -a*n + o + 4 = 0, 0 = -n - 3*o + 10 + 8. Solve 0 = n*k + s - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 135480419 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 - 22*b**2 - 13*b**2 + 66*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*u = 21 + 5, -4*u - 36 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14*(-9)\/756)\/((-1)\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/3 + j**4 - 79*j**3\/3 + 25*j**2\/3 + 350*j - 1000\/3 = 0. What is j?\nAnswer: -10, -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(-9 - 6 + 9)*(4*c + 0*c + c) to z + j*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 1 f when three letters picked without replacement from {l: 1, n: 6, b: 1, f: 3, u: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 2250*j**2 - 5*j + 2250.\nAnswer: 5*(j - 450)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40960283*g**2*w**3 - 121645*g**2*w + 2*g**2 + g*w**2 wrt w?\nAnswer: -245761698*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d + 166. Let h(b) = 7*b - 167. Let u(k) = 5*h(k) + 6*z(k). What is the remainder when 405 is divided by u(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v*v**1)\/(v\/(v*v**0*v*v))**(4\/11) assuming v is positive.\nAnswer: v**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*v - 252 = 0, -m + 2*v + 124 = -0*m. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 320019*o - 6.\nAnswer: -320019*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g + 262. Let d be a(26). Solve 0 = 3*p + 2*h - d, 3*p + 4*h - 1 = -3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from ssqsssjsrsjsssrrjjss?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457755, 457767, 457779, 457791, 457803?\nAnswer: 457815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048372?\nAnswer: 2, 512093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + (-9 + 1 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*a + 53*a = -170. What is the greatest common factor of 187 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from dhhhdddhddd.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/18 and -55\/2406.\nAnswer: 7218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2050502 (base 8) to base 16\nAnswer: 85142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 14*q**3 + 38*q**3.\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*q, 5*q - 3*t = 6*q - 5. Is q < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27253.70241 + 27254. Round b to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(2\/5)\/n)\/n*n)\/n)\/n*(n\/((n\/((n\/((n\/(n*n**6))\/n))\/n))\/n)*n)\/n*n*n**(-1\/3)*n**(-4)\/n)**(-5) assuming n is positive.\nAnswer: n**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 12*y**2 + 20*y + 4. Let j be x(10). Let n(h) = -2169*h**2 + h. Let p be n(j). Round p to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -250.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344*d**2*v**2 + 2*d**2*v + 3*d**2 - 7*d*v - 169*v**2 wrt d?\nAnswer: 688*v**2 + 4*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153)\/(-34)*1\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.045 + -0.055. Let i(q) = 3*q**3 + q + 1. Let w = -7 + 6. Let l be i(w). Which is the nearest to j? (a) 0.1 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(-2)\/3. Suppose -2*m = -0 + 8. Let c be (-7)\/9 + (2 - 1). What is the closest to g in m, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 62. Let i be l(-9). Calculate the least common multiple of 18 and (-5)\/((-10)\/(-3))*(i - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 6. Let h be q(-6). Let m be (h\/(-1) + 0)\/(-2). Suppose m = -2*i + i + 305. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**5\/9 - 112*o**4\/9 + 10*o**3\/9 + 560*o**2\/9 - 8*o\/9 - 448\/9 = 0.\nAnswer: -56, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - (0 - (7 - 3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 1:25 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - 1 - 9) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(4 - (-26)\/(-6)). Suppose x = 3*v - 12. Which is greater: v or 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466899 divided by 1.\nAnswer: 466899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6931176 divided by 123771?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 6. Let u = -20 - -16. What is the third smallest value in z, -0.6, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**7\/504 - b**6\/144 - b**5\/120 - 13*b**4\/12 + 36*b**2. Let z(f) be the second derivative of q(f). Does 25 divide z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 2*z**2 + 8*z - 258. Calculate n(0).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 11:23 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 214*v**2 + 7*v - 5. Let r be f(4). Let k = 1626 + -1173. Suppose 6*h - r = -k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*m + 15, 4*l + 11 = -5*m - 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 divided by -492?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 156, 223, 290, 357, 424?\n\"Answer: 67*m + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 10:04 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -23139439 in decreasing order.\nAnswer: 5, 1, -23139439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 86*m - 99*m + 43. Let n = -10 - -19. Calculate the remainder when m is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37\/58 + 4\/29. What is the closest to 1 in -4, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/9*t + 2\/9*t**2 + 4\/3.\nAnswer: 2*(t - 6)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -74. Let x(n) = -n**2 + n + 2. Let d be x(-3). Let p = d + l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b, -5*b + b = -4*y. Let t(h) = 0*h**2 - 7*h**2 + 3*h**2 + y*h**2. Let z(v) = -4*v**2. Determine t(z(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 3*r**2 + 67*r + 73*r - 138*r + 4*r**3 as t + d*r + w*r**2 + i*r**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15090590 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*h + 2*h. Calculate the common denominator of 67\/4 and 9\/(-22)*(-34)\/h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 4:48 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 5. Let o be k(7). What is the third derivative of 5*c**o - 3*c**2 + 0*c**6 + 2*c**6 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1948014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 233*v - 232*v - 3, -2*v - 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 166?\nAnswer: 116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -686 - -685. Let j be -1 + 3\/4*1. Let x = -8 - -4. Which is the nearest to 0? (a) j (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(192) + (-4 + sqrt(192) + sqrt(192) - sqrt(192)))*6 + 4 + 5)**2.\nAnswer: -2304*sqrt(3) + 27792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 30. Let x be 5\/(-1 + (3 - 1)). Which is the second smallest value? (a) -9 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21501 and -0.2.\nAnswer: 4300.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + (sqrt(468) - -3*sqrt(468)) + sqrt(468) - (0 + -1*sqrt(468)))**2 + -1).\nAnswer: -84280 + 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and -4356.\nAnswer: 405108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13716957 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2 + -4 - -4*(sqrt(7) + 2))*-2.\nAnswer: -12*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.7213006 rounded to two decimal places?\nAnswer: 92.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744 is divided by 1372.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*l + 0 + (-4 - 1 + 1)*(-l + l - l) + 20*l - 2*l + 8*l - 4*l + 2*l + 4*l as x*l + a and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c + 2*u - 10 = 0, -6 = -3*u. Let j(r) = -5*r + 3*r + 1 - r + r + c*r**2. What is the least common multiple of 4 and j(3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0173128 rounded to four decimal places?\nAnswer: 0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*c**2 - 71*c**2 + 16*c**2 - 80*c**2 in the form y*c + x + w*c**2 and give w.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 1, n: 2, z: 4, o: 4, f: 1}. Give prob of sequence oge.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 20*d**2 - 600491 + 600491.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (180\/(1 - 3))\/(-7). Let h = 277\/21 - i. Which is the nearest to 0? (a) 25 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 6*c - 0*c. Calculate the remainder when 84 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 9*b**2 + 18*b + 16. Let g be v(-7). Let c be 1\/6 - (-134)\/g. Let p = c + 11. Put 11, -3, p in descending order.\nAnswer: 11, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/4*2\/1*20\/280*-64\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/60 - j**4\/6 + j**3\/6 + j**2. Does 11 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 1. Suppose 4*w - 2*o = -30, -3*w + 5*o = 3*o + 21. Let p = -10 - w. Give d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*l + 22400 = -169*l + 224*l for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79988210.\nAnswer: 2, 5, 479, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134214 + -1441?\nAnswer: -141210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 63 - 55. Let o be -1 - 565\/(-20) - k\/8. Suppose -3*h + 241 = c - 2*c, 2*h + c = 164. Calculate the highest common divisor of o and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(2\/37)\/(y\/y**(2\/5))**(-31)*((y\/((y*y**(-4)\/y*y)\/y))\/y*y\/y**(-7))\/(y**(4\/7)*y*y\/(y*y**(-4))) assuming y is positive.\nAnswer: y**(32482\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132.9 + 793. Round a to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815*h - 12240 = -409*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -116 and -2220\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -28*p + 30 + 104. Solve -3*b = -l + 5, 4*l - 5*l + 7 = -p*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(1900)*2 + (sqrt(1900) - (sqrt(1900) - (1 + sqrt(1900))))*-2 + 2 + -3)**2 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tll when three letters picked without replacement from ttllltttttl.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 52 = -3*d. Suppose 0 = 3*y - d - 5. Suppose -x = 2*u - 4*u - y, 5*u = 0. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 5955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.243 - -44.843. Let v = -54 + t. Round v to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-9 - (-17 + 17))) + 33\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/(9\/(-216)*-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 396 = -11*x. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1015 - 997. Are y and 51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 1. Let o be a(1). Solve -z - 1 + 3 = o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 3*l**2 + 1. Let o be h(3). Let m be (-96)\/(-63) - o\/(-7). Sort 0.09, 3, m.\nAnswer: 0.09, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5134000 to the nearest one hundred thousand.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**3*u**3 - 11321*q**3*u - 694*q**2*u**3 - 2*u**3 + 2*u**2 wrt u.\nAnswer: -6*q**3 - 4164*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5425, 5409, 5379, 5329, 5253?\n\"Answer: -h**3 - h**2 - 6*h + 5433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 equal to -48439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2\/7 - 996*l\/7 - 39468\/7 = 0.\nAnswer: -286, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 7*n - 54 + 29)*(4*n**2 - 14*n**2 - 39*n**3 + 13*n**2).\nAnswer: -273*n**4 + 60*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388869.7 litres to millilitres.\nAnswer: 388869700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose -2*c - 3*n = x, 0*c = -5*c - 2*n + 17. Which is smaller: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 758317 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 16*u + 48. Give t(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bbbbbbbbbbbkbbb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 64992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74066 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/40 - w**5\/30 + 71*w**3\/6 + 6*w**2 - w. Differentiate f(a) with respect to a.\nAnswer: -9*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023040.\nAnswer: 2, 5, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -31*o**2 + 1360*o + 504. Determine t(44).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 9:07 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 82976.38mm?\nAnswer: 82.97638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:02 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2) - 1)*(-15)\/(-5). What is the closest to -1\/2 in 0, y, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596*r**2 + 277*r**2 + 321*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 divided by -89?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4704.17 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 1.9. Let i = a + -1.5636. What is i rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 1929895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*w - 24 = 139*w. Suppose 2*v + w*l = 1044, -4*v = -3*l - 1139 - 949. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-x - 3*x + 3*x)*((-2 + 2 - 2)*(0 + 2 - 3) - 1 - 2 + 0 + 1 - 1 - 2 + (2 - 3 + 0)*(-4 - 1 + 3)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g. Let n(o) = o**2 - o. Let m(x) = -k(x) + 5*n(x). What is the second derivative of m(u) wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/20 + d**4\/4 - d**3\/2 + 3*d**2\/2 + 7*d. Does 8 divide r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 148. Let n(p) = 5*p**2 - 6*p + 5. Let l be n(-5). Let d = l + r. Calculate the highest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/15*(-1 - 116). Let m = -31 + c. Calculate the remainder when 15 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmoo when four letters picked without replacement from {m: 8, h: 3, o: 3, t: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286288277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -25 in descending order.\nAnswer: 1, 0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*f - 1764 = 7*f, -x + 426 = 4*f. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3))**(16\/7)*(x**(2\/11)*x)\/x*((x*x*x\/((x**(-5)\/x)\/x)*x)\/x)\/x assuming x is positive.\nAnswer: x**(2473\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-83*h**2 + 41*h**2 - 159*h**2)*(0 + 0 + 2 - 2*h) + (3*h**2 - 3*h**2 - 2*h**2)*(9*h - h - 2*h))*(0 - h + 0).\nAnswer: -390*h**4 + 402*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220012 (base 3) in base 9?\nAnswer: -3805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 16*k**2 + 10*k - 20. Let w be x(-15). Let q = w - 52. Put -4, q, 4 in increasing order.\nAnswer: -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372678967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 165, 462, 877, 1410, 2061?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7 + 2 - c - 4. Let v be i(0). Suppose 0 = -v*o - 0*o + 1315. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4034213 (base 5) to base 15\nAnswer: 1438d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/45))\/(v*v\/((v**(-3\/16)\/v)\/v)) assuming v is positive.\nAnswer: v**(-2263\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1596798214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 7*r**5\/10 + r**4\/4 - 4*r**3\/3 + 9*r**2\/2 + 139*r. Is j(4) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 2) in base 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l + 4*k - 92 = 0, 148 = 3*l - 4*k. Let p be ((-65)\/(-15))\/((-1)\/(-3)) - 1. What is the greatest common factor of p and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3, 4*w + 2*s - 522 = 4. Let n be 2*-3*4\/w. Which is the third biggest value? (a) 2\/11 (b) -1.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 + g**3*q - 7214337*g**3 + 27*g**2*q - 181*g - 14*q + 1 wrt g.\nAnswer: 24*g + 6*q - 43286022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2856 and 11219133?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 0) - (-36 - -38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(245) + 2.\nAnswer: -7*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p + 4. Let q(b) be the first derivative of -b**3\/3 - 3*b**2\/2 + 2*b + 2. Is q(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 11:22 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3, -8, -50 in descending order.\nAnswer: 2, 2\/3, -8, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 18 - 11 - 11 - 1863*n**2 + 5*n - n**3 + 1870*n**2. Calculate k(9).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 9*i = 14. Which is the third smallest value? (a) i (b) 1\/3 (c) 2\/11 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*q = 630*q + 106*q - 49643 + 19781 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 70*j**4 + 324125*j**3 + 377519910*j**2 + 5355113920*j + 1864402400 = 0?\nAnswer: -2308, -14, -5\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283\/6 - 47. Let f(s) be the first derivative of -1\/3*s**2 - 2\/3*s + 2 + y*s**4 + 2\/9*s**3. Factor f(n).\nAnswer: 2*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 - 1139\/6. Let f = -155.7 + 155.7. What is the nearest to f in 1, 0.3, m, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + 155. Suppose 0 = -3*n + p + 105. Calculate the highest common factor of n and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*a + 23731 = 0, -n - 4*a + a + 5929 = 0. List the prime factors of n.\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - o - 12 = -2*o, -4 = -3*c - 2*o. Suppose 0 = -0*z - 2*z. Solve -2*g - 5 = -w, z*w + c = 2*w + 2*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + (-2 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 142261*b\/4 + 1280187\/2.\nAnswer: (b - 142243)*(b - 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -739 in -2, 0.4, -7, -0.06, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-369836943504)\/123005825006) - -3. Let w = o - 3\/22761998. Let x = 2\/677 - w. Which is the third smallest value? (a) -5 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16210415 to the power of 1\/2, to the nearest integer?\nAnswer: 4026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - 10*c - 212. Determine x(-8).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -o - 502. Let h be 2\/(-7) - o\/7. Suppose -72 = -2*n - 2*g, 4*g - h = -2*n - 2. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 608390 and 6640?\nAnswer: 4867120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 87. Let q = 9 + -13. Put -3\/8, q, u in increasing order.\nAnswer: q, u, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccmmccmmc. Give prob of picking 3 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 16, 11, 5, 26, 4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -60 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(72) + sqrt(72))**2 + (5*(sqrt(2) + sqrt(2) + -3*(sqrt(32) + sqrt(2)) - sqrt(2) - (5 + 1*sqrt(2))))**2.\nAnswer: 3726*sqrt(2) + 12167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1487*m**5 - 15*m**4 + 167076*m**2?\nAnswer: 89220*m**2 - 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8) + 1\/2*9. Solve 5*k - 3*g = 18, 8*k - 4*g - 16 = n*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.28156 months to decades.\nAnswer: 0.819013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 550256 and 0.5.\nAnswer: 275128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 332708 + -332631.7436. Let n = -71.25649 + k. Let a = n + -5. What is a rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 6. Let u(o) = -o. Let g(r) = 7*r - 8. Let l(p) = g(p) + 4*u(p). Let x(q) = -3*l(q) - 4*y(q). Let h(s) = -38*s - 2. Determine x(h(b)).\nAnswer: 38*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*l**2 - 14*l - 23*l - 75*l + 112*l + 23*l**2.\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 12, n: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6255)\/10)\/9*76\/38.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3488556)\/86780)\/((-12)\/(-16)*8\/10).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567095 is divided by 18288.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 0*g = 5*g + 5, 5*s - 2*g = 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98036387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 144413991 bigger than 144413992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 + 5*j. Suppose -6 = -2*a - 0. Let i(p) = 374*p + 3370. Let f be i(-9). Let d(q) = -4*q**2 - 4*q. Calculate a*o(w) + f*d(w).\nAnswer: -4*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5864811cm?\nAnswer: 5.864811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5708 - 4.5708. Which is smaller: y or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 22. Let w = p - 17. Let l be (-2)\/(-9) - (-68)\/18. What is the closest to 0.1 in w, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + -2 - (-3 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16143 = 2*t, 247*t = 251*t - 3*f - 32321. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20720 - -145056\/7. Let i(n) be the second derivative of -j*n**2 - 10\/21*n**4 + 27*n + 34\/21*n**3 + 0 + 1\/35*n**5. Factor i(f).\nAnswer: 4*(f - 8)*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -16*p**2. Let z(i) = 251*i + 688. Calculate z(f(d)).\nAnswer: -4016*d**2 + 688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2700\/19, -4, 2\/5, -5, 1\/6 in increasing order.\nAnswer: -5, -4, 1\/6, 2\/5, 2700\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 60*g + 21*g + 18*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3363, 13488, 30399, 54126, 84699, 122148?\n\"Answer: 5*o**3 + 3363*o**2 + o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (-5 + (2 - -8)) - (-68)\/28. Let -r - 48\/7*o - 3\/7*o**2 = 0. Calculate o.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i = -4. Let d(h) = -6*h - 23. Let u(t) = -17*t - 61. Let j(m) = 8*d(m) - 3*u(m). Let k be j(i). Solve -3*o + 2 = k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1444 - -5?\nAnswer: -1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2719*s**3 + 3*s**2 - 3*s - 3. Let b be w(2). Suppose o + 1989 = m - 3441, b = 4*m + 3*o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1467)\/2052 - 1\/(-2))\/(-1) and 53\/209.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 5*i**2 - 2*i - 5. Let h be s(4). Suppose 0*c = 5*c - h. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 13*z**2 + 13*z - 10. Let a be b(12). Solve -a*f - 3*h = -9, 5*h - 48 = 5*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.62604mg to tonnes.\nAnswer: 0.00000005062604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -608*i**3*m**3*w*y - 26*i**3*m**3 - 2*i*m**2 + 2*i*m*w*y + 24*m**2*w - m**2 wrt y.\nAnswer: -608*i**3*m**3*w + 2*i*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**7\/168 - 7*f**6\/60 + 3*f**5\/4 - 25*f**4\/24 - 125*f**3\/24 - 39*f. Factor h(g).\nAnswer: g*(g - 5)**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 25*l**2 + 27*l + 5. Let u be j(26). What is the greatest common factor of 31 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51963721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 5. Let a = 17977 + -17981. Let y(c) = -c - 6. Determine a*v(f) + 5*y(f).\nAnswer: 3*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209327 is divided by 1269.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6103116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 7. Let m = -156 + 206. What is the highest common divisor of m and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = 48 - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 18 + 47. Suppose z + j - 6*j + r = 0, j = -2*z - 4. What is z rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*k + 23, -3*s - 2*k = -0*s - 1. Suppose 0 = 4*v + 3*g + 7, s*v - 8 = 4*v + 2*g. Suppose -4*m + v = -3*m. Solve 2 = -4*j - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7351 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 - (0 + -2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/63 and 97\/6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 9 + 1. Calculate the common denominator of (-2)\/(-3) - 905\/120 and 645\/(-108) + h\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -0.45. Let s = -257\/56 - -39\/8. What is the nearest to s in h, -4, 4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffj when four letters picked without replacement from ddjfffjjfjffj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*w + 16, -4*w + w + 11 = y. Suppose 0 = -w*v - 15 - 13. Let h be (-313)\/v - (-10)\/35. Calculate the highest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Let z be (-1 - -1) + l + -6. Suppose -55 = -k + 6*k. Put k, z, -3 in decreasing order.\nAnswer: -3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1374?\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*f**3 - 46*f**3 + 31*f**3)*(2 - 3*f + 3*f + f) in the form g*f + a*f**2 + s + k*f**4 + p*f**3 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 247 + 55?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 7*n**2 + 9*n + 3. Suppose 4*s + 4*k - 8 = -28, 3*k - 9 = 0. Let t be r(s). What are the prime factors of (-3)\/t - 514\/(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let i(w) = -190*w**2 - 15. Calculate i(m(n)).\nAnswer: -190*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + 8*y**2 - 5. What is c(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.021 - 47.979. Let s = 26.5022348 + -74.50223433. Let f = s - m. What is f rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i + 91*i - 365375 = 0. What are the prime factors of i?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*c - 131 = 0, o + 4*c = -24 + 97. Suppose 0 = 56*b - o*b - 48. What is the smallest common multiple of 72 and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 + 249 = 7*d. Suppose 102*z + 30 = d*z. Suppose 3*b - 183 + 63 = 0. What is the remainder when b is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 + 12*x**3 + x**2 - 2*x**2 - 15*x**3 - 1 in the form a + s*x + g*x**2 + o*x**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 2. List the prime factors of (16 - l)\/(1 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 335, 671, 1007, 1343, 1679?\n\"Answer: 336*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2734979*m - 6. Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1868 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2310 and 25410?\nAnswer: 25410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54357039*a**3 + 36463564.\nAnswer: -163071117*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.8822 rounded to 1 decimal place?\nAnswer: 153.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbsisssizszsbzs. What is prob of picking 1 z and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*f**3 - 31*f**3 + 17*f**3 - 2 + 0 - 32*f - 17*f**3 - f**2 in the form s*f + m + h*f**3 + q*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30790 divided by -3258.\nAnswer: 15395\/1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2626*c*f**3 - 2*c*f - 12468*c wrt f.\nAnswer: 7878*c*f**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128360814.\nAnswer: 2, 3, 1487, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**3\/6 - 9*j**2\/2 + 13*j. Let l be v(-12). Solve -2 = -l*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.5909 kilograms to grams.\nAnswer: 115590.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 671235 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/211425 and 29\/1057125.\nAnswer: 1057125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(80))**2.\nAnswer: -40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6) + 25\/(-2). Which is bigger: -15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553520 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 81*s**3 + 331047*s**2 + 45451125*s.\nAnswer: -3*s*(s - 375)*(s + 201)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*x + 113, 0 = -h + 1. Find the second derivative of -7*i**4 + 55 - x - 11*i wrt i.\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 1 l when three letters picked without replacement from {s: 2, o: 2, f: 1, l: 1, d: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 10*a + 178 + 7*a - 226 in the form z + l*a and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 97\/4)\/(1\/(-4)).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/30*-28*(-240)\/1344)\/((-4)\/(-84))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74737040 divided by 16?\nAnswer: -4671065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*88\/132*(-1)\/2)\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4420*y - 13. Let d(m) = -735*m + 2. Calculate 26*d(s) + 4*q(s).\nAnswer: -1430*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 5*r - 8*r**2)*(26*r + 226 - 226).\nAnswer: -208*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964174.\nAnswer: 2, 1982087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -374.7 - -395.6. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 4 - 82*g + 3 - 80*g + 160*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -w + 30064, -46489 - 13667 = -2*w + s. Suppose 11*c = -3786 + w. Suppose -17*l + 22*l - c = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 264 - 261. Which is bigger: -251 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 586.6 - 588. Which is the closest to 2\/7? (a) -0.1 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**3 + 5*s**3 - 14*s**3 + (0 - 2 + 0)*(-2*s**3 + s**3 + 0*s**3))*(0*s - 5 - 3*s + 2*s) in the form u*s**4 + i + b*s + o*s**3 + v*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186793 is divided by 118584?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**8\/48 - 2*n**4\/3 - n**2\/2 - 5*n. Let k(u) be the first derivative of l(u). What is the second derivative of k(a) wrt a?\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2345 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11930623 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*z + 983 - 200 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -61. Suppose -6*v - 250 = -448. What is the remainder when v is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 35. Let o be (c\/(-12))\/(4\/(-208)*1). Suppose o*j - 10*j = 231. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6692*v - 4402*v - 570560 = -2179*v for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -160207 (base 8) in base 13?\nAnswer: -20216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u, 4*x - 30 = -6*u + u. Solve -3*i + 7 = -5*s, 0 = -x*s + 5*i - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**3*l**3 + 94*j**3 - 732*j**2*l**3 + 553*j*l**2 - 4*l**4 + l**3 wrt l?\nAnswer: 24*j**3 - 4392*j**2 - 96*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39739 - 5591?\nAnswer: -45330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, t: 2}. Give prob of picking 2 f.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9. Let x(i) = i**2 - 7*i - 6. Let k be x(8). Let d be 2\/1*(-3)\/6. Sort d, o, k.\nAnswer: d, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*a = -8, -2*h + 4 = -h - 5*a. Suppose -2*s + 2 = 4, 2*s = -h*b + 14. Suppose -r = -6 + b. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7828755.\nAnswer: 3, 5, 11, 17, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vugv. Give prob of sequence ugv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3640 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45847 and 77387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2642 divided by -6.\nAnswer: -1321\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 261\/(-58) + 115868\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - 3 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 563\/5, -6\/11, 0.05, -0.0189 in ascending order.\nAnswer: -6\/11, -0.0189, 0.05, 563\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 5 = -5. Let y be (3 + p + 10)\/(-1). Let j be (y\/3)\/4*(2 - 3). Solve -3 - j = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 6*o + 6. Let g be q(4). Let b be -12*(g + 9\/(-6)). Suppose -5*n + 13 = -b. What is the highest common factor of n and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -75. Suppose 4*p - r = 2*p. Let q be 48\/10*(-20)\/(-6). What is the highest common factor of p and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*s**3 + 297*s**2 + 43564.\nAnswer: 30*s**2 + 594*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 - 2 + 3 - 8977*g**2 - 5 + 4 + 8977*g**2.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253068 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -395, 52, -2, -5, -21, -4 in increasing order.\nAnswer: -395, -21, -5, -4, -2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153466694*l**2*s + 29*l*s - l + 5115*s - 2 wrt l?\nAnswer: 306933388*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t = -60*t + 2. Let z(r) = 58*r**2 - 4*r - 2. Is 10 a factor of z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13691*u**3*v**2 + u**3*v + 2*u**3 + 2*u*v**2 + 3209*u with respect to v.\nAnswer: 27382*u**3*v + u**3 + 4*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -117?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(192)\/(sqrt(4) + sqrt(4)*1))**2.\nAnswer: 12*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/23, -13, -2\/5, -0.3 in descending order.\nAnswer: 18\/23, -0.3, -2\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 19*l = 16*k + 43*l - 28, 5*k - 20 = -2*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -504502 - 3353?\nAnswer: -512255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1424 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639211207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, x: 3, k: 6, u: 3, n: 1, r: 1}. What is prob of sequence fux?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 682625 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4263 - -136443\/32. Let v = j + -3\/32. Suppose 3 - 19 = -8*q. Are v and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 3*z**3 - z**4 + (2*z**3 + 2*z**2 - 2*z**2)*(0 + z + 0) - 2*z**4 + 4*z**4 + 3*z**4.\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4085 - -452639\/111. Let d = s + -6\/37. Find the common denominator of 45\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:41 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 + 122*z**2\/5 - 123*z\/5.\nAnswer: z*(z - 1)*(z + 123)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6037359 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 4 + 2)*(2 - 2 - 2*h) + h - 2*h + 3*h + 1353 + 45*h - 1353)*(-5*h - 5 + 5) - 3*h**2 + 3*h**2 + 2*h**2 as p*h**2 + j*h + b and give p.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7574 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2271841 (base 9) to base 2\nAnswer: -100101011111000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(6*(2 + 2*3*sqrt(567)))**2*5 + -3).\nAnswer: -66147822 - 699840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1881)\/(-207) - 9)\/(92\/(-552))?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w**2 + 6*w + 1335. Let q(f) = -9*f**2 + 8*f + 1780. Let y(h) = 4*n(h) - 3*q(h). Let p(l) = 20*l + 26*l - 7*l. What is y(p(z))?\nAnswer: -13689*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 13*o + 20. Suppose o*d = -2*d + 60. Let x(h) = -11*h**2 - 4 - 5 + d*h**2 + 9*h. What is x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/8 (b) -0.0341 (c) -7\/10 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b096b4 + 7?\nAnswer: -4b096a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541667 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, -15, -2, 2 in decreasing order.\nAnswer: 2, 1, -2, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -45. Suppose a*p - 245 = -95. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -5\/24*j**4 + 0*j**3 + 0*j + 40*j**2 + 0. Let w(x) = -269 + 269 - 2*x**2. Give w(z(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/5 (c) -13 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:27 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 63, 103, 149, 195?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 16 - 17 + 2. Let b(r) be the second derivative of r**3 - 12*r. What is -3*b(k) + 4*m(k)?\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 327945 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)\/k**(-3))\/(k**(-4\/9)\/(k\/(k*k**(-6)*k)))*(k**(-2\/7)\/(k**(-1)*k))**(-25) assuming k is positive.\nAnswer: k**(2153\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19964197 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: Let p(c) = 11*c - 110. Let g be p(15). Let j(a) = g - 10*a + 49 - 105. Determine j(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m - 92. Suppose 163*x - 4383 = -324*x. Let o(z) = z - 23. Determine x*o(v) - 2*a(v).\nAnswer: -v - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:22 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f**3 + f**2 + f + 4. Let t be c(2). Suppose -t*l + 115*l = -42. Solve 5*o - l = 7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((94\/(-705))\/((-1)\/10))\/14\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*w + 3*l, -2*w + 18*l = 8*l - 18. Solve m - 5*v = -12, -12*v = -w*v + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 6) to base 5\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0 (c) 439 (d) -2\/5 (e) -0.22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(5\/3))\/c**5*(c*c**(-1\/4))**(-19))\/(((c\/(c\/(c*c*c**(-2))))\/c*c*(c\/(c*c*c*c**2*c))\/c*c*c)\/(c**(-2\/13)*c**1\/c)) assuming c is positive.\nAnswer: c**(-2507\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*a + 2*l + 1, 4*a + 2*l = 6. Let d(s) = 7*s**3 - 2*s**2 + 2*s - 2. Let b(v) = 6*v**3 - 3*v**2 + 3*v - 3. Calculate a*b(u) - 3*d(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 852 and 7793670?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -16, -32, -66, -124, -212, -336, -502?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:38 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.564 - -0.364. Sort -0.44, o, -2, -1 in ascending order.\nAnswer: -2, -1, -0.44, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from bbzeeebbbebebzebez.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, 1\/2, 2 in decreasing order.\nAnswer: 32, 2, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*y + y + 4*z, 4*y - 35 = 3*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 7, -5\/6, 2, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-8 - -20) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*6*10\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 4*w - 3. Let i be a(-4). Let s(g) be the third derivative of g**6\/120 + g**5\/12 + g**4\/12 + 2*g**3\/3 - 241*g**2. Give s(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8207851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163854 is divided by 333?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3\/4*y**3 + 1728 - 69\/4*y**2 + 24*y = 0.\nAnswer: -16, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, s: 7}. Give prob of sequence uuu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-600 - 4) + -2)\/(-2). Suppose -300*b - 15 = -a*b. Suppose 5*z - 105 = -2*x, -3*x + 2*z + 100 = -2*z. Calculate the highest common divisor of b and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3 = 2*m, -45*m + 5*d + 29 = -44*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/33 and 34\/(-42) + 6\/(-18).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-28)\/((-2)\/((-6)\/6)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 5:53 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74 + 7a2?\nAnswer: 72d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14739559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 6. Let o = -27 + 41. What is the remainder when o is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 0*4\/(-8). Let t(c) = 2*c**3 + 2*c**2 - 1. Determine t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454 (base 10) to base 15\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*o + 30 = 15, -q - o + 20 = 0. Let n(p) = -5*p + 5. Let w be n(-4). What is the greatest common factor of q and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1. Let b(i) = 11*i - 33. Suppose -z = 5*u - 14, 9*u - 9 = 3*z + 7*u. What is z*b(v) - 33*a(v)?\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9*f**2 + 2944\/3*f + 541696 = 0 for f.\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 84.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a - 6 + 6)*(58 - 54 + 34)*(3 - 2 + 0)*(-4 - 2 - 1)*(a + 2*a - 4*a + (-2*a + 1 - 1)*(0 + 1 - 4)) to the form h*a + o + m*a**2 and give m.\nAnswer: 5320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 278 (c) -0.1476 (d) 3\/4 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6011.28374 to the nearest 10.\nAnswer: -6010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s - 4 = 0. Let k = -65231 - -1239391\/19. Which is the closest to k? (a) s (b) -0.6 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 6*r = -23. Let x = -57 + 81. Is r at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32896 and 7552.\nAnswer: 1940864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2629*u**2\/2 - 4007*u - 4079. Find the first derivative of h(i) wrt i.\nAnswer: 2629","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 13*h**5\/20 - h**3\/3 + h**2\/2 - 4*h - 174. Calculate f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -822\/17 in -2, 0.3, -2\/13, 1, 0, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247620, -991018, -2230014, -3964608, -6194800?\nAnswer: -8920590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160 + 174. What is the smallest common multiple of 18 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3261 is divided by 1068.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.01, 6, -1, -0.2, -16, -1\/17?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*n**3*v**5 + 29*n**3*v + 23*n**2*v**2 + 5*v**6 wrt v.\nAnswer: 900*n**3*v**2 + 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(204)\/sqrt(192) - -5*-1*sqrt(17).\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 38393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -9\/10 (c) 6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2800 divided by 5.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y**2 - y. Let k(r) = 3215*r - 2*r**2 - 3215*r. What is i(k(s))?\nAnswer: 44*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234906 = -7474*a + 14383*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n - 9*n - 27*n**2 - 5*n - 16. Let f be ((-1)\/(-3))\/((-25)\/(-450)). Let k be d(f). Round k to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/1)\/((100\/20)\/5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*k - 20, -4*f + 25 = -2*f + 5*k. Solve 5*o = 15, 0 = -f*n - n - 4*o + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, and 2 f when four letters picked without replacement from kssklsktfskfeflkke.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -14, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*h + 25 = -2*i, -4*i - 5*h + 35 = 0. Suppose i - 3 = z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 452 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 10. Let u be b(-13). Find t such that 6*t**3 - 4*t**5 - t**u - 8*t**4 - 9*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -d + 2*d + 5, 5*k = -2*d + 39. Suppose 0 = -z - 2*n + 29, 4*z - 128 = -5*n + n. Is 2*z + (k - 5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3092499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyyuyyy. What is prob of sequence uuyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12 + 2 = 0. Let v = -4 - t. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/(-12) - 6)*18. Let d be (l\/(-2) - -1)*2838\/129. Put -2, d, 2, -3 in descending order.\nAnswer: 2, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4503, -2\/3, -0.0001 in descending order.\nAnswer: -0.0001, -2\/3, -4503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4331443 + 0?\nAnswer: 4331443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/10)\/((-4)\/20). Is (-6 - -43) + 0\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 5*f**2 + 62*f - 115. Let d be s(2). Which is the second biggest value? (a) -1 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppzrfpwpfffwvp. Give prob of sequence zw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 984868665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 359251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209 by 1.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2419813100 rounded to the nearest 1000000?\nAnswer: -2420000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76\/3 - -26. What is the second smallest value in u, -3, -0.5, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 335\/108 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27688527 - 419.1283.\nAnswer: -27688946.1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((0\/1)\/(-3))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 3\/112*g**8 - g**2 + 2\/15*g**6 - 1\/15*g**5 + 0*g**3 + 0 + 0*g - 1\/10*g**7 + 0*g**4. Factor k(x).\nAnswer: x**2*(x - 1)*(3*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137035204?\nAnswer: 2, 34258801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*-4)\/(38\/19*-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11733*f**5 - 324*f**4 + 33549877*f wrt f.\nAnswer: -234660*f**3 - 3888*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/440)\/(6\/8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47\/159 - 2\/53. Let a = -5.7 + 6. Put 0, a, b in increasing order.\nAnswer: b, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81905 + -81904.99889114. What is f rounded to five decimal places?\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3115 + -4?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 11:07 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-28) - -11*(-3)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -0.1, 1023, -0.2 in increasing order.\nAnswer: -2, -0.2, -0.1, 2, 1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f - 34. Is b(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-18)\/g)**(-16\/9) assuming g is positive.\nAnswer: g**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 7 = 2*j - 3*d, 0 = j - 3*d - 8. Suppose q = j*x + 373, -7*q + 3*q - 4*x = -1492. Suppose 5*g + t = q, -t - 57 = -g + 14. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372 = -404*i - 8452 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 1. Let r = -3 + 5. Let c be i(r). What is the units digit of (c\/4)\/(2\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 12292354.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 4*j**2 + 2*j - 5. Let x be t(4). Suppose b = -x*c + 180, 121 = b - 5*c - 59. Find the common denominator of 99\/10 and 1742\/b + (-2)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101221222022 (base 3) in base 10?\nAnswer: 747206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228141943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1936703 rounded to 1 decimal place?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(1331) + 2)*-5)**2.\nAnswer: 39600*sqrt(11) + 1201500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 4*i + z - 3*z, -z - 3 = 0. Let w = i - 17. Solve 3*a + 4*x = -23, 2*x - 4 = -w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.3204 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*g**5 + 4*g**5 - 2*g**5 + 3*g - 4*g wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 - 5*s + 2. Let l be 0 + 1 - (-36)\/(-6). Give r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/60 + f**3\/6 - f. Let r(c) be the second derivative of m(c). Let d(i) = 29*i - 29*i - i**2. Determine r(d(b)).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2303 - -1032. Let h = r + 2476. List the prime factors of h.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/451 - ((-206)\/44 - -1)) + 4 + -5\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from zuozzow?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1340, -1\/8, -1733, 8\/5 in increasing order.\nAnswer: -1733, -1340, -1\/8, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7793 + -7757. Calculate the lowest common multiple of 1662 and z.\nAnswer: 9972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 6, 10, 1 in descending order.\nAnswer: 10, 6, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -11*z + 0 + 1\/3*z**3 + 1\/12*z**4 - 3\/2*z**2. What is h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5702.7427 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -5, 0, -2.\nAnswer: -5, -2, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:00 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let b(y) = 4*y**2 + 5*y - y**2 - 3*y. Determine -3*b(g) + 6*d(g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in 0.5, -5, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 955?\nAnswer: 955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -12 + 23 + -26 + 9 + 23?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -170*m - 4. Let o(c) = 85*c + 2. Let k(j) = -7*o(j) - 4*q(j). Let x be 11 + -9 + (0 - -1). Is k(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 10*u**2 + 3*u - 11. Let t(f) = -f**2 + f + 4. Let k be t(4). Let p be z(k). Let c = 209 - p. What is c rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 139 + -70 + -40 + (-3 - 124)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 18*l**2 - 28*l + 1. Let c(h) = -9*h**2 + 14*h. Let y(i) = 5*c(i) + 3*d(i). Is y(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/675 and -29\/5.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 s when three letters picked without replacement from fyslsfsyooysyyyyf.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l**5 + 4*l**3 - 2069144*l**2 - 68*l + 1977911 wrt l.\nAnswer: -140*l**3 + 24*l - 4138288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 121, 130, 143?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 12*r - 55*r. Suppose 4*y - j + 37 = 0, -3*y - 2*j + j - 19 = 0. Let o be y\/(-4)*1*2. Solve r = -o*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(5 - 6 + 1 - 21*c).\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*p - 8 = 0, -2*p = 4*z + 3*p - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -10*a**4 + 11918586*a**3 + 52441916*a**2 + 66744312*a + 19069808 = 0.\nAnswer: -2, -2\/5, 1191863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 188 = 2*g. Let r = -34 + g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*j - 7*j. Let v be j\/10 + (-39)\/(-15). What is the closest to 0.2 in -1, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 47*t**2 + 302*t + 846. Calculate k(53).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -740, -4, 3\/4, -20507?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 375 and 281965.\nAnswer: 21147375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 24 = 24*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 30, 201 in decreasing order.\nAnswer: 201, 30, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -724510\nAnswer: -1449020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*s**3 + 29*s**2 + 4*s?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 214? (a) -0.5 (b) 0 (c) 2\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 23 + 8 - 10)*(5*m - 6*m - 3*m).\nAnswer: -100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3\/1090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/(-6))\/(8\/(-128)*4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182112600 by -234984.\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2\/s)\/(s\/s**9))**(-1\/9))**47 assuming s is positive.\nAnswer: s**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6. Let z = -1 + 1. Suppose 2*i + 2*i + 20 = 0. Sort i, z, f.\nAnswer: i, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.776141nm to meters.\nAnswer: 0.000000008776141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 13. Is (-6610)\/(-18) + k\/54 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 4*s - 2*y + 77, 3*s + 4*y - 14 = 0. Let r(h) = h**2 - 3*h - 1. Let c(p) = -2*p**2 + 4*p + 1. Calculate s*r(k) + 4*c(k).\nAnswer: -2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 4234276.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 280\/(-14190)*36\/8 and 2\/(-4)*(-710)\/(-20)?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c + 40. Suppose -4*q = -2*b - 18, 7*q - 3*q - c = 4*b. Suppose 0 = 4*p - 2*h + q*h - 14, -12 = -p + 3*h. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-2)\/(-1 - 1). Suppose k = -4*w + 25 - 12, -3*k + 15 = 4*w. Sort -1.2, -5\/3, w, b.\nAnswer: -5\/3, -1.2, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5574 - -9446. Let x = -5493 + r. Let o = x - -8162\/5. What is the common denominator of -19\/3 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105076 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g. Let z(y) = y**3 + 4*y**2 + 4*y + 6. Let v(i) = -5*j(i) + z(i). What is v(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x. Let g(l) = -l**3 - 2*l**2 + 5*l - 3. Let r be g(-4). Suppose 0 = r*a - 7*a - 166. Let b(q) = -2*q**2 - a + 83. Give b(s(m)).\nAnswer: -162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1524 and 781431?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -1208\/9. Suppose 68*i - 112*i - 10 = 34. Which is the nearest to -1? (a) -5 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/121726 and -41\/5533?\nAnswer: 121726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2. Let q(z) be the third derivative of z**5\/20 + 23*z**3\/6 - 39*z**2. Let m(r) be the first derivative of q(r). Determine b(m(c)).\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68887.85 * 0.4.\nAnswer: 27555.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -216, -200, -174, -138?\n\"Answer: 5*q**2 + q - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 5. Let h be i(-6). Suppose h = -5*k + 6. Suppose 0*z - 65 = -5*d + 5*z, -k = z. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2783 divided by -1131.\nAnswer: -2783\/1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z. Let r(a) = -2*a**2 + 201. Calculate j(r(l)).\nAnswer: -6*l**2 + 603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbuubuu. Give prob of picking 1 v and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0482 + -0.0738. What is the closest to 0 in -0.2, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1649)\/(-4) - ((-75)\/20 + 4). Suppose 3*b - s = -37. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -8, -20*u + 28 = w - 24*u. Calculate the remainder when 363 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -6*x**5\/7 + 54*x**4\/7 - 12*x**3 = 0?\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.9282 nanometers to micrometers.\nAnswer: 0.1429282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6)*3 - 0. Let y = z - 2. Let b be y\/(-4) - 8\/32. Solve -h + 2*h - 2 = b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325.2029 to zero dps.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 - 48\/(-21). Find p such that -6*p + 2*p**m + 3*p + 5*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + 21 + -5. Suppose s + 5 = 4*x. Suppose 76 = 4*z - 0*i + 2*i, x*z - 4*i - 108 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-6\/5)*x)\/x**(1\/4))\/(x**(-2\/9)*x*x**(-8)))\/((((x\/(x*x**(-2)*x*x))\/x)\/x)\/x**4*x**(-3)\/(x**(-3\/2)*x)) assuming x is positive.\nAnswer: x**(2929\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let j(w) = 9*w - 8. Calculate the least common multiple of m and j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/41))\/((-2)\/(-9)*(-90)\/(-160)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 211*a**2 + 636*a - 2. Determine h(-4).\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1 - w**2 - 2 + 0*w + 5*w. Let r be z(3). Suppose 5*v - 14 = r*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 52134*q**2 + 10*q - 9. Is l(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 2, 2*n - 86 = -4*o. Let l = -18 + o. Put -2, l, -14 in increasing order.\nAnswer: -14, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 7. Let j be u(0). Find the third derivative of j*o**2 - 12*o**3 + 4*o**3 - 15*o**2 wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let m(s) = 2*s + 3. Let n(v) = 2*m(v) + 5*y(v). Let c be n(1). Let h = 0.139 - 0.039. What is the closest to c in -5, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*1\/4*3 and 7\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(3*sqrt(10)) - sqrt(35)\/(sqrt(63)\/sqrt(9))) + ((sqrt(320) - (sqrt(320) + 2))*1 + -5*sqrt(320)*-1)**2.\nAnswer: -482*sqrt(5)\/3 + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 37. Suppose -21 + w = 3*f. Solve f*k = 4*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -413 + 413. Suppose r = -2*i - 2*i + 16. Calculate the highest common divisor of 116 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48 - -1) + (-1)\/1. Let a = -34 - i. Calculate the remainder when 39 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -4*w. Solve w = 2*m + 1 + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(4320) + -1*sqrt(4320))*6)\/(sqrt(36)\/(sqrt(66)\/(-2*sqrt(11)))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18715*v**2 + 8955*v wrt v.\nAnswer: 37430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1631*w**2 - 3432*w. Let j(q) = 1653*q**2 - 3430*q. Let t(u) = -5*d(u) + 6*j(u). Find the second derivative of t(m) wrt m.\nAnswer: 3526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 43, 9, -39, -101, -177, -267?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64419 divided by -197?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.9. Let o = 411.0475 - 411. Let z = -0.5475 + o. Which is the closest to 1\/2? (a) u (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7 - 1 = 0. Suppose c*x + y - 35 = -2, x = y + 21. Suppose -5*t - x + 193 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3607 (base 10) to base 6\nAnswer: -24411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 15265?\nAnswer: 15265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7343 less than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -323, -6, 7175, 19 in descending order.\nAnswer: 7175, 19, -6, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 6. What is the remainder when z(6) is divided by (-2 + (-32)\/(-12))\/(1\/24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:01 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/1)\/240)\/((-572)\/59488)\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 5. Let j be i(4). Let y be (-8 - 2)*(38\/(-10) - -3). Suppose 4*u - y = t - 23, -3*u = j. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.179292 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20614092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 491672917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126068 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frxfxfxfxff. What is prob of picking 1 r and 2 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5 - 4. Let z be 6 + (2 - 12\/y). Let l = -5 + z. What is the third smallest value in 3, -1\/3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 1340 = -2*g, 670 = 2*j + 3*g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(162) - sqrt(162))**2*4*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 10, g: 3, f: 4}. What is prob of sequence jjf?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*p + 3 + 275724*p**2 - 275507*p**2 + 134*p wrt p.\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let n be 21*14\/6*33\/(-231). What is the third smallest value in n, 4\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**3\/3 - 7*j**2 + 4*j. Let s be a(9). Solve 0 = l + s*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by -24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 4 = 43*o. Let k(v) = -v**3 - v**2 + v + 1. Let y(u) = 0*u - 6 + 1 + 3*u**2 - 2*u + 2*u**3. Give o*y(p) + 3*k(p).\nAnswer: -p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 3) + (10 - (9 + -15)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 111046.\nAnswer: -5\/111046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*642\/1391*26?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6905084 is divided by 288?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*b**3 - 1300 + 1300)*(0*b + 4*b - b) + (56*b**4 - 8*b**4 - 100*b**4)*(-2 + 2 - 1) in the form v + g*b**2 + n*b**3 + a*b**4 + f*b and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (22078\/855 - 15))*5\/6?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 + i. Let v(a) = 3*a**3 + a**2 + 2*a - 4. Let b(k) = 4*m(k) - v(k). What is b(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1397984 or 1397973?\nAnswer: 1397973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 l when three letters picked without replacement from {s: 3, c: 2, r: 4, w: 2, l: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s - 13. Give r(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p. Solve p = -5*q - 20, -u + 2*q + 2 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1136*w - 706. What is n(-2)?\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 3*c**2 - 1 - 4*c**3 + 3*c + 3*c**3. Let m = -603 - -606. Give t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose b*y + f = -4*f + 18, y - 23 = 4*f. Calculate the remainder when 21 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) 68\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 30 = -6. Let t = 4 - 4.5. What is the third biggest value in t, w, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7173574 < -7173574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let z = -1554 - -1557. Suppose 4*q = y + z. Let s(m) = -6*m**3 + 2*m**2 - m. Calculate s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + 2\/(-5). Let q = 0.0279 + -0.3279. Which is the nearest to j? (a) q (b) 3\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 148034404?\nAnswer: -1480343aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 5*g - 5, -g = -2*z - 0*z - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -f. Suppose -154 = r - 4*l, -650 = -r + 6*r + f*l. What is the common denominator of (-10)\/15 - r\/12 and -101\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(sqrt(11) + 1 - sqrt(11)) + -1 + sqrt(11) + -2)**2.\nAnswer: -16*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -91*b**2. Let r = 22 + -15. Let z(c) = r*c**2 - 3*c**2 - 6*c**2. Give o(z(y)).\nAnswer: -364*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 79*x + 42. Give q(-39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 136 = -1428. What are the prime factors of 35549\/u - 1\/(-4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 + 4*h + 1. Let k be p(-3). Let b = -56 - k. Let r be 1 + 22\/b + 15\/27. Is r at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*a = 10, 2*c - c + 2*a - 2 = 0. Suppose 39 = 5*m + c*k, 3*k + 0*k = m - 4. Suppose 5*p - i = p, i + m = -3*p. Is p at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 140\/11 (b) 2 (c) -190\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830760.9 micrometers to centimeters.\nAnswer: 83.07609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i + 1\/3*i**3 - 3 - 3\/2*i**2. What is the second derivative of j(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g\/(g**(-2\/15)\/g))\/g))\/g)\/(g*g**(-4\/7))*((g\/(g**17*g*g))\/g)\/((g*(g*g\/(g\/g**3))\/g*g)\/g) assuming g is positive.\nAnswer: g**(-2684\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2038281+3842.7\nAnswer: 2042123.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3225 and 97\/150.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(1100)) + 5*sqrt(132)\/(sqrt(60)\/sqrt(5)))*3.\nAnswer: -75*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 963.99999842 - 964. What is f rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (7 + (116 - 102)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 54854*g**2 - 603255*g - 193. Calculate s(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316 and 37268.\nAnswer: 2944172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**7\/42 + 7*c**6\/8 - 49*c**5\/4 + 1715*c**4\/24 - 7*c**2 + 9*c. Solve o(u) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.3 * -6830\nAnswer: 77179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 30. Calculate m(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-102)\/(-48) + -2)\/((-13)\/(-104)). Let x(v) = -v**2 - 7*v - 2. Let p be x(-7). Put p, 5, 3, y in decreasing order.\nAnswer: 5, 3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -2296, -5327, -9614?\nAnswer: -15157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 116.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u. Let m = -35 - 284. Let g = 321 + m. Determine y(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**6)**(9\/4) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -6. Let w(u) = -14*u**2 - 13*u + 13. Let b(y) = 7*y**2 + 6*y - 6. Let g(r) = p*b(r) - 6*w(r). Let l(i) = -2*i**2. Give l(g(v)).\nAnswer: -98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, t: 2, p: 1, s: 2, d: 2}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249280 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 119*k**3 - k**2 - 3*k - 2. Let q be b(-1). Calculate the common denominator of (q\/432)\/((-36)\/108) and -41\/27.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 289*t**3 + 564077*t**2 + 63965320*t + 1869843300 = 0. What is t?\nAnswer: -1833, -1010\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 - 718 = -53*r. Let l be 3\/(-3)*1 - 19. Is r less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.743392ng in tonnes?\nAnswer: 0.000000000000007743392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/27))**6 assuming f is positive.\nAnswer: f**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 3*f**2 - 3*f + 4. Calculate v(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0192324*4.\nAnswer: -0.0769296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5682 + -5709 - (-48 + -2 + 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n - 3*n. Let z be ((-64)\/12 + 4)*(-759)\/n. Suppose -2*u + 76 + 166 = 5*l, l = 4*u - z. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/4, 2, -2\/11, 88 in descending order.\nAnswer: 88, 2, 1\/4, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56039654.\nAnswer: 2, 11, 2547257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 10*b**2 + 8*b + 7. Determine y(-7).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -46*q**4 + 22*q**3 - 440*q**2 + 34*q. Let m(v) = 4*v**4 - 2*v**3 + 40*v**2 - 3*v. Let g(x) = 6*d(x) + 68*m(x). Suppose g(j) = 0. Calculate j.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 5, p: 4, g: 3}. Give prob of sequence iw.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 + 2393\/14. Let v = c + -2\/21. What is the closest to 4 in v, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226814 by -5.\nAnswer: 226814\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*n**2*q + 11994*h*q**3 + 18*n**2*q**3 - 6*n**2*q + n**2 - 18*n wrt h?\nAnswer: 2*n**2*q + 11994*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by (8\/3 + -3)*-33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v + 55653*v**2 - 55653*v**2 + 49*v**3.\nAnswer: 49*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102? (a) 0 (b) 288 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:56 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 9\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 5, -0.1 in decreasing order.\nAnswer: 166, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -1.9. What is the nearest to h in 5, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 28. Solve z*c + 0 + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4))\/((-17)\/68). Let k be s\/3 + (-187)\/(-33). Let y(b) = -b**3 + 8*b**2 - 6*b - 7. What is the units digit of y(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**3*h*h**(2\/11)*h)\/(h**(-3\/2)\/(h**7\/h*h))*(h*h**(-2\/5))**31\/(h*h**(-1\/7)*h*h**0) assuming h is positive.\nAnswer: h**(20347\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 164552 = 3*u, 4*u + 22687 = 2*z - 43131. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-49)\/7)\/(-21))\/(14\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + -0.09. Let c = 0.1 + x. Is c at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*1*18*20\/2376\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/14)\/(1*6\/(-48)). Let j = i + 2\/21. Factor -2\/3 + 2\/3*c + j*c**2 - 2\/3*c**3.\nAnswer: -2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/1*3\/3. Find the third derivative of a*i**2 - 3*i**2 + i**2 - 3*i**4 wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 2*p)*(-2 - 1 + 0)*(-4*p + 4*p - p + (-4 + 4 + 1)*(-2*p + 3*p - 3*p) + 5 - p - 5).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)*l*l*l**12)**(1\/4) assuming l is positive.\nAnswer: l**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/12))**(6\/17)*(g\/(g\/((g\/((g\/(g\/g**(-2))*g)\/g)*g)\/g)*g)*g)**(-45) assuming g is positive.\nAnswer: g**(-4579\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337589.\nAnswer: 3, 11, 59, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 3*d + 5*d)*(3 + 2 - 2) + (1 - 1 + 4)*(2*d + d - 4*d) + 1 - 1 + 2*d - 4*d + 0*d + 5*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240706559?\nAnswer: 3, 413568853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/(-60))\/3)\/((-2)\/15)*(-22)\/(-1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d - 15. Let f = -2297 - -2296. List the prime factors of f\/(-1)*d + (-192)\/(-2).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 426*j**5 - 2*j**2 - 2*j?\nAnswer: 25560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3820*((-254)\/1905 - (-139)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 20225530087544.\nAnswer: 20225530087542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 46*n. Let g(b) = -1508*b. What is g(y(k))?\nAnswer: 9048*k**2 - 69368*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 9818525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y - 22 - 28 = 16. Let j(t) = 2*t**3 + 10*t**2 + 12*t + 3. What is j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1241 - 7*k**3 - 2446 + 1211.\nAnswer: -7*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*q**2 + 5*q**2 + 19 + 27 - 3*q**2 in the form k + j*q + t*q**2 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -10 - -9) + -3 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050946882 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9246 = -35*a + 29*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/552312 and 17\/552312?\nAnswer: 552312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -479373360*x + 486850804 wrt x?\nAnswer: -479373360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2614*h - 2232*h + 4813*h + 4 + 0.\nAnswer: -33*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 4*o - 6. Let d(h) = -h**3 - 5*h**2 + 2*h + 2. Let f be d(-5). Let y = f - -4. What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001110111010 (base 2) to base 6\nAnswer: 243122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 10*i**2 + 10*i + 18. Let o = 24171 - 24160. Give j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1500)\/(-680))\/25*1*(-6)\/(-9).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 9. Solve -u = 2*i, -4*o - 5*i - 2 = 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 90 = 36. What is the remainder when k is divided by (-1 - -4) + 12 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 7566786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 5 + -2 + 0 + 2 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 65. Suppose 4*o = z + 8. Solve 2*k = -2*t - 4, -4*t + k = -3*t - o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 5*(sqrt(3328) + 2 + 2)**2).\nAnswer: 2560*sqrt(13) + 66896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a hour in minutes?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3850 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*r + r = -24, -54*f + r = -85*f - 186 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*12\/(-12366))\/(27\/(2025\/50)).\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*l + 9*l + 80. Put -6, 1, 45, l, 3 in descending order.\nAnswer: 45, l, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159584.4 - 321718?\nAnswer: 837866.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srs when three letters picked without replacement from {r: 1, q: 1, m: 1, w: 1, s: 2, a: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -522, -296, -2.1, -2 in increasing order.\nAnswer: -522, -296, -2.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2353690 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8474587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(253\/(-110)))\/((-10)\/(-10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11912 - 11933) + (0 - 1 - -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 - 22*m**4 - 44*m**3 + 120*m**2 + 144*m = 0. What is m?\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:39 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1066, -0.2, 0, -3.\nAnswer: -3, -0.2, 0, 1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 14825 = 8545. Calculate the smallest common multiple of 14 and h.\nAnswer: 10906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -53 - 6*p + 2*p + 22 + 25. Calculate g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 87\/4 of a meter?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11 = 5*n - 22, 5*i + 39 = -2*n. Let v(l) = 3*l. Let j be v(i). Let r = -16 - j. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -46, -64, -88, -118?\n\"Answer: -3*o**2 - 3*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.81 decades to months.\nAnswer: 14497.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -4*h + 7014 + 3954, -4*d - 13664 = -5*h. What is the remainder when h is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 94.08711.\nAnswer: 47.043555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38920536 divided by -2169\nAnswer: -17944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15933600*z**3 + 9513595*z wrt z.\nAnswer: 95601600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33, 4, -2\/7, -18, 6\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -14, -3, -2 in decreasing order.\nAnswer: 14, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71\/710)\/((-1)\/2*1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559319.1377 plus 76.9?\nAnswer: 559396.0377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 107 (b) -1\/7 (c) -113 (d) -0.4 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.56277 and -0.06.\nAnswer: 0.0937662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 3. Suppose 12 = -4*n + 8*n. Suppose -2*i + 3 = -5*d - 0, 4*i + n = d. Let x(f) = -1. What is d*h(c) - 6*x(c)?\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**2 + 2*u**4 + u**2 - 31 + 31 + 4*u.\nAnswer: 2*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*x + 316 - 316)*(2*x**3 - 8*x**3 + x**3) + (2*x**3 - 5*x**3 + 5*x**3)*(2*x + 3*x - 7*x) - 2*x**4 - x**4 + 5*x**4.\nAnswer: -157*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 648169\nAnswer: -71\/648169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.6. Let x = j - 0.4. Which is the nearest to 1? (a) -4 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/720 - 17*u**5\/120 - 4*u**4\/3 + 6*u**2. Let h(n) be the second derivative of q(n). What is h(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a kilogram in grams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 6*o**2 - 26*o + 11. Suppose -9*r + 187 - 43 = 0. Is w(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + 1*sqrt(352) + sqrt(352))\/(-1*sqrt(11)*-4 + sqrt(11)) + (-2*sqrt(72)*-3 - -6*sqrt(72)*-2))**2.\nAnswer: 56448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21717389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let r(p) = -319*p**2 + 3*p - 12. Let i(n) = 4*n**2 - n + 4. Let f(w) = -6*i(w) - 2*r(w). Give f(d(g)).\nAnswer: 614*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 - 2003?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1408395 divided by 1408395.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -109*f + 213. Calculate j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from iisi?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**6\/90 + d**5\/15 - d**4\/6 + 4*d**3\/3 + 20. Let q(u) be the third derivative of s(u). Factor q(z).\nAnswer: -4*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 8*c**2 + 6*c - 5. Let s be ((-7)\/3)\/((-1)\/(-3)). Give r(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-308)\/42)\/((-10)\/6 + 2). Let u = z - -98\/5. Is -1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80754 or -80753?\nAnswer: -80753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 + 140. Suppose 0 = -2*p + 46 - t. Factor 4\/11*w - 2\/11*w**4 + 2\/11 - 4\/11*w**3 + p*w**2.\nAnswer: -2*(w - 1)*(w + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 15. Suppose 3*p = d + 29. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443625366.\nAnswer: 2, 3, 59, 179, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1*(2 + 1). Let d = 2 - v. Solve -4*k - 10 = -d*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -3271?\nAnswer: 150\/3271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3 - 4*k**2 - 494402*k + 5125038.\nAnswer: -3*k**2 - 8*k - 494402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5 - 5 + 0 + 7*a. Let x(t) = 7*t - 10. Suppose 13*l - 50 - 15 = 0. Let c(v) = v - 2. Let s(i) = l*c(i) - x(i). Calculate y(s(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Let t(h) be the first derivative of 4*h**2 - 32*h - 24. Let m be t(4). Solve m = w*c - 5*s, -c + 0*s = 4*s - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*o + 65, 5*l - 73 + 78 = -o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 11:20 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:40 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**5\/15 - 23*x**4\/24 + 47*x**3\/9 - 40*x**2\/3 + 16*x - 32. Factor p(w).\nAnswer: (w - 4)**2*(w - 2)*(2*w - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4058 or -3907?\nAnswer: -3907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let j = 2328 - 2326. Let k(c) be the third derivative of 0*c**3 + 0 + 47\/24*c**4 + 35*c**j + 0*c. What is k(d(h))?\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 601*a**2 + 13675*a + 19321. What is y(623)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 29*g - 349. Determine b(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27129856 and 1984?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3233 - 2*k**2 + 3*k**3 - 3231 - 2*k**3 + 7*k to x*k + v*k**3 + g*k**2 + o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247475 is divided by 1304?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2.9, 5\/2, -0.0291, -1\/4.\nAnswer: -2, -1\/4, -0.0291, 5\/2, 2.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -24*u**3 - 14*u**2 - 14*u - 34. Let p(t) = 5*t**3 + 3*t**2 + 3*t + 7. Let d(g) = 6*f(g) + 28*p(g). What is the derivative of d(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -386272 - -25105234\/65. Let g = 510\/13 + r. Find j such that -4\/5*j**3 + 0 + g*j**4 + 0*j**2 - 4\/5*j**5 + 0*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528606 a multiple of 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*b - 23 = 0, 2*b - 5 - 16 = 5*y. Let j = 11 + y. Let q = 11 - j. Solve -f + 27 = q*x, -6 = 2*f - 0*x - 2*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100121002211211222 + 10?\nAnswer: 100121002211212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1599066 and -59\/1386.\nAnswer: 17589726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n = 0. Let t(p) = p + 16. List the prime factors of t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*z - 8 = 0, -8 = -4*v - 3*z + 10. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2041956?\nAnswer: 2041956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3344 divided by 5\nAnswer: -3344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 778 - r**2 + 804 - 1480)*(5*r - r + 0*r).\nAnswer: 20*r**3 + 408*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -987.9 - -323.2. Let b = q - -665. Let l = -0.7 + -2.3. Sort b, 1\/4, l, 2.\nAnswer: l, 1\/4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3782.9 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 35*l + 48*l - 5.\nAnswer: 83*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3 - f**2\/2 + f + 39. Let b(z) = z**2 + z. Give -2*b(g) - p(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/200 + 1768\/160\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 11:12 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -3, -39 in ascending order.\nAnswer: -39, -3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-three quarters of a millisecond?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/12 + o**3 + 5*o**2\/2 - 4*o. Let q be f(6). Suppose -q*j = -3*c + 11 + 16, j = -5*c + 73. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -4 + 174 + -90 + -67.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -2. Let k be g + -1*(-1 + 2). Suppose w + 2*f = -f + 8497, -3*w - k*f = -25495. Round w to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Suppose -87*m = -73*m. Suppose 0 = -t - 4*k - 2, t = 2*k - 4*k. What is the closest to m in t, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -16, 0.4, -1\/22, 28, 1\/5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13873849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.33 - -0.33. Let r = 32 + w. Which is the nearest to -4? (a) 5\/3 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3\/5 + 66*n**2\/5 - 261*n\/5 - 162 = 0?\nAnswer: -2, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19693 - 19615. Solve 28*z = 54*z + h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 946*l\/3 + 632\/3.\nAnswer: -(l - 316)*(3*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 255590677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 7*w**2 - 7*w + 10. Let t = 142 + -139. Let p be (12\/30)\/(t\/(-60)). Determine y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -34?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 833*g**2 + 31*g + 2. Let y(u) = -832*u**2 - 39*u - 2. What is -5*a(t) - 4*y(t)?\nAnswer: -837*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 393331633268.39 less than 0.02?\nAnswer: -393331633268.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.2668759 rounded to zero dps?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1629187764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1464215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = 9*q. Is 14 a factor of 72\/10*5\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -2, -1, -34 in descending order.\nAnswer: -1, -2, -5, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + f + 1 = -9, 0 = 4*i + 4*f + 8. Suppose i = -2*h + 8. Suppose 5*w - 317990 = -h*m, -318008 = -3*m - 0*w + 4*w. Round m to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 42 = 3*p - 19, 3*p + u + 2025 = 2047 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395116383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -134 + 4*b**4 + 134 + (-455*b - 130*b**4 + 455*b)*(4 - 5 + 0) + 4*b**4 + b**4 - 2*b**4 as z*b**3 + u*b**2 + n + k*b + r*b**4 and give r.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -134\/3 greater than 108695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 953988 times -0.2\nAnswer: -190797.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4 - 404*x**3 - 7739*x**2 wrt x?\nAnswer: 24*x - 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-54)*(-16)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111220121 (base 3) to base 15.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g)*(2 + 1 - 1) - 2*g + 2 - 2 + 3 + g - 3 + 6.\nAnswer: 3*g + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*c + 3*c + 1531*c**3 + 77*c**3 - 2*c.\nAnswer: 1608*c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/54820572 and -31\/9.\nAnswer: 164461716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/28*575\/(-15525).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55674337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 33. Let c(g) = 2 - g**2 + 5 - 7*g - g + g. Let r be c(-8). Sort r, y, -2 in descending order.\nAnswer: r, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22275 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 581, -3, 4 in decreasing order.\nAnswer: 581, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/660016 and -109\/2520.\nAnswer: 29700720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 7) to base 10\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 - -17)\/4624)\/(10\/32*(-176)\/(-220))\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose -2*g - 1 = -3*s, 5*s - 4 - 19 = -2*g. Find c such that -d + c**4 - c**2 + s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/129043065 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 284 = -293. Let v(x) = -11 - 2*x + 6 + u + 2. Let o(t) = 40*t - 2. Give o(v(p)).\nAnswer: -80*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90624963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13042394, 13042396, 13042398, 13042400, 13042402, 13042404?\n\"Answer: 2*o + 13042392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 7*i**2 + 2*i + 2. Let y be l(5). Let v = y - -23. Let k = -11 - v. Solve k*a - 36 = 4*j, -12 = -3*a - 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1938*s**2 - 27436 + 165*s**3 + 174*s**3 - 449*s**3 + 2*s**4 - 9386*s.\nAnswer: 2*(s - 19)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*k - 21*k + 43*k)*(-367*k**2 + 154*k**2 - 156*k**2 - 336*k**2) in the form d + w*k + y*k**2 + g*k**3 and give g.\nAnswer: 7050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*t - 4*t. Let x be -2 + 21\/12 + (-204)\/16. Let q be -10 - x - (1 + 2). Solve -l + 2 = d - q, t*d - l = -5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 2*m + 8. Let h be b(4). Suppose 2*s - s = h. Solve 5*v + 25 = -4*n, 5 = -s*v - v + n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-84) - -2) + (-70)\/28420\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y**(2\/7)\/y)\/y*y)*y)**(-3)*y*y*y**4*y\/((y\/(y**(-8\/7)*y))\/y) assuming y is positive.\nAnswer: y**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((317 - 316) + 0 + 13 - 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -26, 1\/40, 63\/164?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8147557?\nAnswer: 11, 740687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 + 5*r - 3. Let i(h) = 7*h**2 - 6*h + 4. Determine -4*i(d) - 5*t(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g**2 - g - 2. Let b(w) = 5*w**3 - 5*w**2 + 14*w + 16. Let j(p) = -b(p) - 6*r(p). What is the tens digit of j(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -50, 2 in decreasing order.\nAnswer: 2, -2, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9603176, 9603166, 9603156, 9603146, 9603136, 9603126?\n\"Answer: -10*w + 9603186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/5, 3, -0.02453, -2\/7, 4\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10040 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2640, 1908, 684, -1032, -3240, -5940?\n\"Answer: -246*z**2 + 6*z + 2880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*w, -2584*w + 2583*w = -g + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -627, -928, -1227, -1524?\nAnswer: -1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1260, 1264, 1266, 1266, 1264, 1260, 1254?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y = 153*y - 39 - 401 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 5, 0.2, -18.23 in descending order.\nAnswer: 5, 0.2, -18.23, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -1 + 0)\/(-6). Which is the fourth biggest value? (a) j (b) -0.3 (c) -2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6402 (base 12) to base 7.\nAnswer: -43625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b (base 14) in base 7?\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -443*m - 4865. Calculate o(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 602065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.642871ns in microseconds?\nAnswer: 0.005642871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4396 + 4395.7. What is the closest to w in -4\/7, -2\/13, -5, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 835.38 months?\nAnswer: 0.069615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-10)\/20 - -3). Which is the nearest to f? (a) -0.1 (b) 4\/7 (c) -1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1801947098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60\/7, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.7 - 6. Let t = -33 - -31. Which is the fourth biggest value? (a) 4 (b) 4\/7 (c) t (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-21) + (-83500)\/(-70)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -2.4. Sort 2\/3, 6, -0.4, a in descending order.\nAnswer: 6, 2\/3, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201 (base 3) to base 16\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 9) to base 6\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*i - 23*i**4 + 3*i - i**2 - i in the form a*i**2 + l + f*i**3 + b*i**4 + v*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 38. Let o be 6\/(-1)*(-13 - (-924)\/72)*-6. Let p(u) = 2*u + 37. What is o*p(h) + 5*f(h)?\nAnswer: -2*h - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016383 rounded to five dps?\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 10*n**2 + 9*n + 2. Let g be i(9). Suppose 0*d - g = d. Calculate the remainder when 1\/(d\/31)*-2 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-31)*q\/((q**(-1\/5)\/q)\/q)*(q\/((q\/(q\/q**18))\/q*q))**(-4\/11))**(-2\/129) assuming q is positive.\nAnswer: q**(2378\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2. Let z(o) = -1338*o + 61. Determine t(z(s)).\nAnswer: 3580488*s**2 - 326472*s + 7442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + p - 8*p + p - p - 2*p + (4*p - 4*p - 2*p)*(1 - 2 + 3) + 0*p - p + 3*p to the form n*p + c and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5*i**4\/4 - 4*i**3\/3 - 1. What is the third derivative of v(w) wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/(-9)*(-12)\/(-5)*-64*88\/5632.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrananrryryunyy. Give prob of picking 1 r and 1 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80068808 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 3972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100*a**4 + a - 63 wrt a.\nAnswer: -400*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49398, -50627, -51850, -53067?\nAnswer: -54278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 57 = 78. Let a be (-3)\/(-9) - 3\/(v\/49373). Suppose -a = -6*h - 0*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0248 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 - 4 - 1 + 1 + 2*m**3 as l*m + c*m**3 + g + o*m**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130245, 130204, 130167, 130134, 130105?\nAnswer: 130080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 735 and -0.5.\nAnswer: -367.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31888.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(24)\/sqrt(3))*-5 + 3 - -4*((sqrt(209) + sqrt(209)*-2)*-5)\/sqrt(11).\nAnswer: 3 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 2*x + 1. Let u be n(-1). Sort u, 6, 3 in descending order.\nAnswer: 6, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137898.\nAnswer: 2, 3, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + sqrt(2057) + 0 - sqrt(2057) - (sqrt(2057) - (sqrt(2057) - (5*(sqrt(2057) + 0) + sqrt(2057))))))**2*-4.\nAnswer: -296244 - 1584*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 894700.8 minutes?\nAnswer: 53682048000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (23 + -72) - 32.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.039, -50, -8\/175 in ascending order.\nAnswer: -50, -8\/175, -0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218226 and 444.\nAnswer: 436452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 116, 294, 604, 1082, 1764, 2686?\n\"Answer: 6*v**3 + 12*v**2 + 4*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -75 - 36 + 96 + 7*o - 13*o - 34. Calculate s(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49899b - -25?\nAnswer: -498976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((621\/36)\/1)\/(-5 + (-96446)\/(-19288)).\nAnswer: 23, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30624 from -0.5.\nAnswer: -30624.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3)*m*m\/m**(-6)*m)**(-3\/10))**(-49))**(2\/15) assuming m is positive.\nAnswer: m**(294\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 143*d**3\/3 - d**2\/2 + 8. Let x(n) = 29*n - 4. Let i(z) = -333*z + 46. Let l(v) = -4*i(v) - 46*x(v). Determine l(r(w)).\nAnswer: -286*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8.9685. Let i = 0.03 + m. What is i rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p + 25635 = -37*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2583 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from vrnnfrrxrrranrrrn?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - -3) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 227908364279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7*(-2)\/(-21))\/(2\/27). Let t(q) be the first derivative of 2*q**2 + 39*q + 7. Calculate the remainder when 17 is divided by t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2627, 2569, 2487, 2393, 2299, 2217?\n\"Answer: 2*p**3 - 24*p**2 + 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysoasnny. Give prob of picking 1 s and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 355\/38 (b) -1\/2 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 212*i + 3456. Calculate t(-84).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-80)\/(-15))\/4)\/((-1)\/(-3)). Let s(k) = -3*k - 2 - 3 - 12*k - x*k. What is the units digit of s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 61\/5 - 12 - 85\/(-25). Which is the nearest to 2\/3? (a) -0.1 (b) 4 (c) x (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 4 + 4 + 67*l**4 - 75*l**4 + 4*l**2 wrt l.\nAnswer: -32*l**3 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + -2 - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8164777, 8164760, 8164731, 8164690, 8164637, 8164572, 8164495?\n\"Answer: -6*c**2 + c + 8164782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 46. Let v = -34 + 58. Let u = -14 + v. What is the remainder when w is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1550 and 8494?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 - 2184)\/((-9)\/63) - (6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76397395.5 to the nearest 10000.\nAnswer: 76400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 - -a131?\nAnswer: a098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 0*b - 9*b - 252 = p, p + b - 63 = 0 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5 + 1 - 4*u**2 - 8 + 13. Give y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0, 0.4, 1517\/7 in decreasing order.\nAnswer: 1517\/7, 0.4, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*c**4 - 173*c**3 + 58*c**2 + 1078002*c + 1?\nAnswer: -468*c**2 - 1038*c + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2\/(166\/54 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2) - sqrt(8)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 9. Suppose 20 = 2*d + 18. What is the smallest common multiple of (-2)\/g - 21\/(-4) and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Let k be y*(-22)\/(-8)*2. Suppose -3*a + k = -25. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, x: 5, a: 4, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 1\/2*p**3 - 2*p**2 + 1\/8*p**4 + 0*p - 1\/120*p**6 - 1\/20*p**5. Let y be 3 + (1 + -13)\/2. Determine b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p + 3312 = 1157*p. Let z = -16.13 + 16. What is the third smallest value in 5\/3, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 - 9 = 0. Let j = -1 - u. Suppose -j*f + 114 = 4*y - 44, -f + 166 = 4*y. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 124264, 124244, 124224, 124204, 124184?\n\"Answer: -20*c + 124284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 6. Let k be o(12). Suppose -3*d - t = -k*d - 16, 1 = -d - 4*t. Is (-10*1)\/d + 249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.29 (b) -4 (c) 7319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, 0.4, -5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 125, -20, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5501*v + 5519*v = 846 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28875 is divided by 4124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.91 + -1.01. Suppose -4*d = -11 - 9, -2*x - 2*d + 54 = 0. Is a greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f**3\/7 + 800598*f**2\/7 + 1601172*f\/7 = 0. What is f?\nAnswer: -133431, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 3)\/((-2)\/(-4)). Let w be c - (-7)\/((-21)\/8). Which is bigger: 0.8 or w?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 3*y)*(1 - 7 - 2*y + 14 - 3*y + 5*y - y + (0 + 0 - 1)*(-3*y + 3*y - 2*y)).\nAnswer: -3*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k*k**(21\/2)*k)\/k)\/(k**(11\/6)\/k))\/(k**6*k*k\/(k\/((k*k**(-16)*k*k)\/k*k))) assuming k is positive.\nAnswer: k**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45256 is divided by 45252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 7*y**5\/20 + y**2. Let p(u) = u**2. Determine p(b(a)).\nAnswer: 441*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139235335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-2)\/(-10))*40\/5. Let j = 40 + u. Let x be 5\/5*5 - 0. Solve j = x*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 426*b + 21504. Give h(-48).\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*u**4 - 1464*u**2 - 3107*u**2 + 283*u**2 + 282*u**2 - 9*u**3 wrt u.\nAnswer: -1608*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.60000189 - 42.6. Round i to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*r + 3*r = 1350 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*o = 12 + 1499 + 3991 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 2, 0, -5.\nAnswer: -5, 0, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.846 and 13.\nAnswer: 24.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 9) in base 15?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:57 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.088354 and -87201.\nAnswer: -87200.911646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - (-11)\/(-2). Let h(b) be the third derivative of -1\/10*b**5 - 22*b**2 + 0*b - 1\/120*b**6 + 0 + 7\/6*b**3 - 1\/6*b**4. What is h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/54 and -79\/384.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2. Let c = 100 + -100. Let n(m) be the first derivative of 0*m**2 + c*m + 1\/3*m**3 + 4. Determine h(n(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*x**3 - 4*x - 18*x**2 - 43*x - 4 - 6*x**3 wrt x?\nAnswer: -90*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 65, -5, -2 in ascending order.\nAnswer: -5, -3, -2, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 481570.909 - 481370. Let r = 201 - z. What is r rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/5, 6.9, -259, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 5.94?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 222 in descending order.\nAnswer: 222, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14906068.\nAnswer: 2, 229, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*r**2 - 142163*r*x - 174083608*x wrt r?\nAnswer: 96*r - 142163*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 510809.1ml in litres?\nAnswer: 510.8091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23723 + (-3 - (-15 - -18)).\nAnswer: 37, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/546 and -20\/117?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162344 - -47242037\/291. Find the common denominator of 31\/6 and s.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (56\/(-10) + 0)\/(30\/(-75))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 10*m + 12. Let h be i(-10). Suppose h*d - 14*d + 16 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 40 (c) 0 (d) 0.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19740 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/6*(5 + 1). Let o be (-29)\/(-7) - (-21)\/(-147). Calculate the highest common divisor of o and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*a - 24, -5*a + 2 = 2*o - 7. Suppose 0 = o*j + 2438 + 5108. Let m be 1\/2 + j\/(-44). Calculate the highest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4782 in decreasing order.\nAnswer: 3, 1, -4782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 + 2*h**2 + h - 1. Suppose -5*v + 10*v = -9*v + 28. Let r(b) = 3*b**3 + 3*b**2 + 2*b - 2. Calculate v*r(y) - 3*x(y).\nAnswer: -6*y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 55 = -159*y + 156*y, y + 4*c = -15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82251946?\nAnswer: 2, 7, 29, 202591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z = -24*z - 1802673 + 1801401 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6856489, -6856556, -6856623?\n\"Answer: -67*c - 6856422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, -1, -142870 in descending order.\nAnswer: -1, -9\/7, -142870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5354, -21708, -49056, -87392, -136710?\n\"Answer: b**3 - 5503*b**2 + 148*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-101820)\/(-57698))\/((-10)\/(-4)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) + sqrt(10) + sqrt(10)*1) - (sqrt(7) + 2)**2*1.\nAnswer: -11 - 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 2*x**5 - 33*x**4 + 40*x**2 + 146*x**4 - 125*x**4 - 6*x**3 = 0. What is x?\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 61 - 23 = 0. Let h(v) = 43*v + 30*v - b*v - 17*v + 31*v. Let c(s) = s. Give h(c(z)).\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182 + 812. Suppose 2*p - f = 1684. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**3 + 8*m + 1\/12*m**4 - 3 + 0*m**2. Let i(y) be the third derivative of -3*y**5\/10 + 2*y**2. What is w(i(h))?\nAnswer: 324*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + v**2 - 2*v + 1. Let k be f(1). Suppose -4*g - 2*o + 9 = -93, k*g = -5*o + 55. Calculate the remainder when 73 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Suppose -2*q - h = -j*h - 12, 2*q + 12 = -3*h. Suppose -2*l + 4*v = -q*l + 6, 4*v = -l + 27. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -330? (a) 0.04 (b) 0.02 (c) 2 (d) 0 (e) -79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**7\/7 + 7*b**6\/6 + 62*b**3\/3 + 5. What is the third derivative of q(s) wrt s?\nAnswer: -600*s**3 + 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1141208889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wffh when four letters picked without replacement from {h: 8, d: 4, f: 5, w: 1}.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6019638, -6019639, -6019640?\nAnswer: -6019641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14059408 divided by 13838\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - v)*(-22 + 98 + 79).\nAnswer: 310*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 36.8. Let x = l - -0.25. Let o = -12.35 - x. What is o rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -213\/2, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002486360323 rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*z - 26 = 0, z = 4*n - 0*z - 30. Let o = 13 - n. Differentiate b - 4*b - o*b - 3 wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 11*v + 8. Let u be v*3\/(-6) - (1 - 351). Suppose 4*y + u = 8*y. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 3*w**2 - 5*w + 6. Let j be n(4). Let x be ((-1)\/j)\/(2\/(-20)). Suppose -5 = -k, x*v + 3*k - 20 = 2*k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*u**3 + 37*u - 37*u)*(-124*u - 30 + 30).\nAnswer: 4216*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4662)\/2775)\/((-87)\/(-4350)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h. Solve h = -4*m + 24 - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76653 and 33.\nAnswer: 843183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, v: 4, l: 8}. What is prob of sequence vo?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, d: 2, q: 2, h: 1, v: 4, r: 1}. What is prob of picking 2 d, 1 q, and 1 v?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**3 - 6*o**2 + o**3 + 136*o + o**3 + 9*o**2 + 128 + 37*o**2.\nAnswer: 2*(o + 2)**2*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.1 (b) 0.03 (c) 3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Suppose 3*d + 4 = 1, -5*o = -4*d - 14. Let z(k) = -4*k + 6*k + o*k. Calculate z(a(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 14) in base 9?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 15) in base 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x + 2610 = 6*x - 39*x for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 84*c + 11. Is h(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + d + (-2 - 2*d + 2)*(-3 + 5 + 0) - 2*d + 2*d + 2*d)*(-8 + 1 + 4)*(-2 + 3 - 3)*(-19*d - 19*d + 31*d) to the form i + j*d**2 + t*d and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*t + z, -2*z + 4 = 2*z. Let g be 2\/(-20)*-6*t. Let a(k) = -6*k**2. Let o(b) = -17*b**2. Calculate g*o(w) + 8*a(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12574 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 25604258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117809, -117829, -117921, -118121, -118465, -118989, -119729, -120721?\nAnswer: -122001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*q + 18, -n = -0*q - 4*q - 21. Let y(o) = -2*o**2 + n + 3*o**2 - 1. Let f(k) = -k**2. Determine y(f(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 253?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/475?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i. Let p(w) = -3*w + 5. Give t(p(s)).\nAnswer: 15*s - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*p + 17415 + 20472 = 0. Is p < 3637\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 599*c + 601*c + 6, -2*d = -5*c - 29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34636809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 5*g**3\/6 - 3*g**2\/2 - g. Let y be ((-5)\/(60\/8))\/((-2)\/18). Suppose 2*f - 18 = 4*r, -4*f = -5*r - 21 - y. Determine u(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -82.8. Let m = 2948\/5 + -590. What is the smallest value in 13\/4, r, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d + 121. Let u(a) = -5*a**4 - 23*a**3 + 80*a**2 - 28*a + 1. Let y(h) = s(h) - u(h). Let y(x) = 0. Calculate x.\nAnswer: -7, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 4*a**2 - 5*a + 2. Let w be h(-5). Let o(i) = 2*i**w - i**2 + i**2. Let q(t) = 4455*t - 8867*t + 4416*t. Calculate o(q(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q**5\/15 - 4444*q**4\/5 + 117002*q**3\/15 - 230696*q**2\/15 - 17832*q\/5 + 61504\/3 = 0 for q.\nAnswer: -961, -1, 2, 40\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19136, 19129, 19116, 19097, 19072, 19041?\n\"Answer: -3*z**2 + 2*z + 19137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 8) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.4 (c) -13 (d) 1\/7 (e) -3\/62 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -1 - (2 - 1). Let v be (3*-1)\/(-3)*g. Suppose 2*s + s = v, -44 = -4*m + 4*s. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67574.33ng in milligrams?\nAnswer: 0.06757433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 564 or -183?\nAnswer: 564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -19*n**6\/30 - n**5\/4 - 3*n**4\/2 - n**3\/3 - 2*n - 41. What is the third derivative of u(f) wrt f?\nAnswer: -456*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 + x + 7. Let o(b) = -b**3 + 4*b**2 - b - 7. Let z(f) = -3*j(f) - 2*o(f). What is the hundreds digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(44) - sqrt(220)\/sqrt(5) - sqrt(44))*4)\/sqrt(4))**2 + (1*sqrt(275)*3 - (-1*sqrt(275)*4)**2).\nAnswer: 15*sqrt(11) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {p: 2, u: 2, b: 1, j: 1, v: 2, l: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 2*f - 3*f. Let t(c) be the second derivative of 0 + 0*c**2 + 0*c**3 + 1\/12*c**4 + c. Calculate t(g(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.54. Let f = k - -0.06. What is the closest to -2 in f, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from espyybbyebeeebkybbb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Let q = -2 - -4. Let o(i) = 5*i**q - 12*i**2 + i - i. Give o(l(a)).\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from xeezxxdtxxtxxfettztf.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-418)\/(-88))\/(-19))\/((-18)\/(-12672)*22)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -665106 divided by 26\nAnswer: -25581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (262\/38 - 7 - 5832\/(-171)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 r when three letters picked without replacement from {y: 3, r: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/166659090 and 161\/380790.\nAnswer: 499977270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 174*m**2 + 785*m - 29. What is the thousands digit of z(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:25 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k - 5*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885514517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/z)\/(z\/z**(-2\/11)) assuming z is positive.\nAnswer: z**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**3 - 4*o + 4. Let a be 2*(312\/16)\/(-13). Let x(t) = 8*t**3 + 3*t - 3. Determine a*k(j) - 4*x(j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307255 is divided by 43890.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4752 + -0.5652. Sort -0.5, 3, k, -6, 0 in decreasing order.\nAnswer: 3, 0, k, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.21 to zero decimal places.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-22)*1\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 15. Let k(w) be the first derivative of -w**4\/4 - w**3\/3 + w**2\/2 + 5*w + 2. Calculate k(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81442578.\nAnswer: 2, 3, 7, 1939109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 + 0)*(5*u - 5*u - u)*(4 + 0 + 1) to s + k*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -48 - 9. Suppose -x + 145 = 5*j - 6*x, 3*x = -3*j + s. Suppose -4*o + j = 2*v, -v - 33 = -3*v - o. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + d = 15, -i + 19 = 4*i + d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2000?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 19 - 44. Let m = -16 + t. Differentiate -4*g - 3 + m*g - g - 5*g wrt g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6131 - -0.055.\nAnswer: 0.6681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a615 (base 15) to base 6.\nAnswer: -33211415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 78 = -0*j. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*j = -2*j. Solve -w + j = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033.1 + 0.888?\nAnswer: 1033.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*sqrt(72))**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*q*t**5 + 3*q*t - 9*t**5 + 447*t**2 + 276357*t wrt t.\nAnswer: -1420*q*t**3 - 180*t**3 + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 3645.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -4 - 4*(-42)\/(-24). What is the smallest common multiple of 14 and 104*-1*7\/q?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -387, -249\/139, -6, 1 in descending order.\nAnswer: 1, -249\/139, -6, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/7 (c) 5.068 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/22 and -99\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38305*q**4 + 8*q**2 - 4485436*q wrt q?\nAnswer: -459660*q**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1111, 1107, 1101, 1093, 1083?\n\"Answer: -r**2 - r + 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -79 - 67) + (38 + (-2 - 0) - 3)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 391755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -42. Let n(k) = 646*k + 1977. Let g be n(-3). Solve p - c = -g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*q - 28 + 6, -4*q + 14 = -5*s. Find the second derivative of 6*n**4 + q*n - 10*n**4 + 17*n**4 wrt n.\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(20\/5 + -6). What is the units digit of (-12)\/12 - (2 - 79 - n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -176, -154, -126, -98, -76?\n\"Answer: -i**3 + 9*i**2 + 2*i - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 16) in base 15?\nAnswer: -19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 + -176. Suppose 4*y + 0*y + c - 96 = 0, w*c = 4*y - 84. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3, 0.5, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**3\/6 + x + 7. Let o(u) = -12*u - 2. What is o(p(r))?\nAnswer: -12*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -1, -23, 4, 1\/4, 128, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2700294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -3 (c) 0 (d) -0.1 (e) -3291 (f) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*(-28)\/21. Suppose 2*w = -g*w + 16. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:01 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 10\/29 (c) 4 (d) -47 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17808\/140)\/53)\/((-1218)\/105)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.446 - -0.17. Let p = c + 0.27449. What is p rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -2\/11 (b) 141 (c) -9 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2236 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v + 3*i + 5, -25 = -5*v + 3*i. Let k(r) be the second derivative of r**5\/5 - r**4\/6 - r**3\/3 - 2*r. Is k(v) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 4*m**2 + 5*m + 2. Let s be k(-1). Calculate the highest common divisor of s and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4117040 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/10 - 238\/4. Let x = -57 - n. What is the nearest to -0.2 in -3\/11, x, -0.1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6152175.\nAnswer: 3, 5, 37, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*g**2*m*v - 27*g**2*v - 3*g*m*v**3 + 3*v**3 wrt m.\nAnswer: -23*g**2*v - 3*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3552*a - 115128 = 1953*a for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 201\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = -10, 3*r + 27 = -c. Let k = r - -9. What is the units digit of 32 + (2 + -2 - k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276055 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*k*o - 3*f**3*o**3 + 24*f**3*o**2*t - 6*f*k*o**3 + 2*f*k*o + 5*k*o**3*t with respect to t.\nAnswer: 24*f**3*o**2 + 5*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 - 4*k**2 + k - 11. Does 11 divide l(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 20491752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:49 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29104 by -17.\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91473203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16224 - 7881. Is w a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 20*a**2 - 100*a + 30. Let g(t) = 41*t**2 - 202*t + 61. Let x(j) = -6*g(j) + 13*z(j). Suppose x(p) = 0. Calculate p.\nAnswer: 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 164 = -45*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 38*y + 193. Calculate the remainder when o(-40) is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24623 + 24626. Which is the closest to -45? (a) n (b) -1\/2 (c) -0.2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322\/31 <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5 (c) 0.3 (d) -2\/3 (e) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 + 5753*w**3 + 262611*w**2 + 507967*w + 251108 = 0. What is w?\nAnswer: -5707, -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -255884.2 to the nearest 100.\nAnswer: -255900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/7 and 131\/305300.\nAnswer: 2137100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.296 and -3?\nAnswer: 0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10689, -21253, -31817, -42381, -52945?\n\"Answer: -10564*s - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 12*s**3 + 9*s**2 + 42*s + 24.\nAnswer: -3*(s - 2)*(s + 1)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13448 and 24272?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*o - 18. Suppose -3*y - 3*t = y + o, -5*y - 3*t = 15. Solve y = 4*x - 3*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -5131.\nAnswer: -17\/5131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 5. Let a(q) be the third derivative of -q**3\/6 - q**2. Let i(o) = -11*a(o) - 2*h(o). Let b = 60 - 55. Calculate i(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-200) + (2\/(-7) - 63\/294).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + 13\/3. Suppose -5*f + m = -4*m - 160, -2*f + a*m + 55 = 0. Suppose 0 = 3*z - 10 - 17. What is the remainder when f is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, s: 1, e: 2}. What is prob of sequence eett?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 34, 0, 4, 1 in increasing order.\nAnswer: 0, 1, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501 + 381 = -15*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3314 - -3317. Solve -2*x - z = -3*x - 3, -h*x = -2*z + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92802, 93174, 93544, 93906, 94254, 94582, 94884?\n\"Answer: -m**3 + 5*m**2 + 364*m + 92434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(240)\/(sqrt(12)\/sqrt(3)) - (sqrt(3840) - -1*sqrt(3840) - sqrt(60)))\/((sqrt(588) + -1*sqrt(588))*5 + sqrt(588)))**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 0.4, -2, -3, 3\/20, -1?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 - 20 - -101) + 123.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.13 - 3.33. Let l = -619\/7 - -89. What is the nearest to j in l, -3\/19, 1\/4?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 318313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5\/5 - 7*c**4\/5 + 2*c**2 - 2*c\/5 - 3\/5 = 0?\nAnswer: -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 10 = 11*p, -4 = -3*m - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210257*b**6 + 184*b**2 - 1318*b wrt b.\nAnswer: -25230840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (-5 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q + 155*q - 7*q = -70*q - 12789 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 36*j**3 + 49*j**2 - 132*j + 115. Is t(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.9 - -20.9. Let n = -5 + 2. Which is the second biggest value? (a) 2\/5 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/2, 2\/11, 5, 0.1297?\nAnswer: 0.1297","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -90, -286, -664, -1284?\n\"Answer: -10*k**3 - k**2 - k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d**5 - 2*d**3 - 609*d**2?\nAnswer: -960*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1401706 - -26088.\nAnswer: -1375618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35324.5097 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 241023565291 - 0.2?\nAnswer: 241023565290.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24673\/47 - -525. Let f(v) = 2*v + 5. Let o be f(-3). Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 + p + 2. Let n(j) = j**3 - j**2 + j + 1. Let k(y) = n(y) - x(y). Give k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 541 - 541.381. Round j to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - (44 + (15 - 55) - (9 - 1))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 7. Let w be (1 + 4\/(-6))\/(-55 + 54). Put z, 0.3, w, -0.3 in descending order.\nAnswer: 0.3, -0.3, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a. Let n(t) = -198*t. Let x(j) = 11*j. Let o(i) = 3*n(i) + 55*x(i). Determine b(o(d)).\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 33, 66, 117, 192?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -16.69\nAnswer: 17.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98281, 98287, 98293?\n\"Answer: 6*h + 98275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 divided by 377?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -199*j + 674. Calculate w(5).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b91 (base 15) in base 11?\nAnswer: 22868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -18*t**2. Let c(p) be the first derivative of 0*p + 22 + 0*p**2 - 2\/3*p**3. Determine c(d(s)).\nAnswer: -648*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3035 or 3314?\nAnswer: 3035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3302.34+-36.05\nAnswer: -3338.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-3)\/(-6) - (-1)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/153120 and 31\/479428.\nAnswer: 632844960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0, 2, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 4*a**2 - 2*a + 5. Suppose 6*l = 3*l + 6. Let c(t) = -l - 1 - t**3 - 3*t**2 + 0*t + t**2 + t. What is -5*c(z) - 3*y(z)?\nAnswer: -z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - p**2 + 4 + 0*p - 4*p + (1 - 1 + 2*p)*(-40 + 40 + 8*p) as a + r*p**2 + j*p and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-1)*(-48)\/1080.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(5) + 0)**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + ((-4*sqrt(56)\/sqrt(4))\/((-2*sqrt(14))\/sqrt(7)) - (-2*sqrt(7) + 0 + 0 + -3)))**2.\nAnswer: 192*sqrt(7) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 479707 < 479450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 748 and 16?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13710 - 3058 = 1263*o + 26215 - 3830 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237169 minus 23467439?\nAnswer: -22230270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 51. Let v be c(-27). Solve 4 = -2*t, v*t - 6 = 6*a - 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and -81722657.\nAnswer: -81722633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3200, 0, -4.\nAnswer: -3200, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**2\/2 + h + 875. Let s(y) = -6*y - 5 + 0*y + 4*y. Calculate -15*l(p) - 3*s(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -3 + (-7 - -2). Let h = 0.6 + -3.6. Let d = -2 - -1.5. Which is the closest to 1? (a) d (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 88 (c) 6\/53 (d) -1 (e) -4\/5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*l = 27. Let o = 7 + l. Let n(s) = s**3 - 4*s**2 + 4*s - 6. Determine n(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1001*a - 16070. Calculate the remainder when v(-18) is divided by 243.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d - d + 9*d - 38. Let t be f(-13). Let s = -8 + 14. Solve 4*g - t = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1811, 1810, 1809, 1808, 1807, 1806?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 529368824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - x. Let d(f) be the first derivative of 17*f**4\/4 + 2*f**3\/3 + f**2 + 7041. Determine -d(n) - 2*q(n).\nAnswer: -19*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171*w - 88*w - 140*w)*(-5 + 1 + 6)*(-2 + 3 - 2).\nAnswer: 114*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -1305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 4*j + 6. What is the lowest common multiple of t(5) and (12\/(-4))\/(12\/(-40))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/309 + 2850\/103. Let n = x + -25. Suppose -n - 2\/3*g**2 + 8\/3*g = 0. What is g?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 4, 0.119?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from fffmmmmm.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = -0, -4*d + 3037 = 3*i. Is d a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 4*s + s)*(3 - 6 + 0 + (0 + 3 - 1)*(0 + 3 - 1) + 8 + 0 + 11)*(s - 2*s - 1 + 0) to the form v*s**2 + g + t*s and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112168034.\nAnswer: 2, 11, 53, 96199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(6 - -3 - 17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -5*x**4\/4 + 40*x**3 - 585*x**2\/2 + 810*x + 1614. Suppose s(a) = 0. Calculate a.\nAnswer: 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -35. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 6*u**2 + 9*u - 7. Let n be g(7). Suppose -x - 9 = n. Does 6 divide (-39)\/(-52)*x\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*h + 3*j - 35, 5*j = -2*h - 11. Let r = 15 + h. Suppose r*s = 11*s - 96. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-1)\/sqrt(10) + (sqrt(5) - sqrt(20)*-5))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 8*y - 9. Let q be t(6). Solve j + n = -2, q = n + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 67 + 655. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 24488?\nAnswer: -3\/24488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165291 and 5093.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m = -20*m + 39*m - 234. Which is the nearest to -0.02? (a) m (b) -23 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/7 + 7766*u\/7 = 0.\nAnswer: 0, 7766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4\/4 - 7*c**3\/2 - 21*c**2\/2 + 33*c + 2. Let h(o) = -o**2 + 5*o + 5. Give -21*h(b) - 5*i(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3487202646739 - 2\nAnswer: -3487202646741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in months?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, 4, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-10 - 6) - (2 + 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887 is divided by 169.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3116 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 6 - 10. Suppose 35 = -s - m*s. Let y = 20\/3 + s. Which is the second smallest value? (a) 3 (b) y (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060034 (base 8) in base 15?\nAnswer: 59e68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4754 - -0.0246. Which is the third biggest value? (a) -1\/10 (b) 143\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3547 minus -0.04314?\nAnswer: -3546.95686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 4*o**4 + 6*o**4 + (-90 + 90 + 5*o**2)*(-2*o**2 - o**2 + 2*o**2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 14*h**3 - 2 + 598*h + 161*h**3 - 8*h**3.\nAnswer: 167*h**3 + 598*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 45 = 4*s + k, -3*s - 2*k + 35 = 0. Suppose 5*p + 1 = s. What is the highest common factor of 22 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 + 7*q - 2 to c*q + m and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2699820 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -71*x - 1708. Calculate m(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 18312283.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 6. Let x = -7 - v. Let u = -5 + 4.6. What is the third biggest value in x, 0, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23277 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369755 = 114*s - 374087 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5678.\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let b(c) = 240569*c**2. What is o(b(f))?\nAnswer: -481138*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8 = d. Let f be ((-1)\/d)\/((-1)\/4). Let p(s) = -s**f - 3*s**2 + 1 + 2*s**2. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*y - 4*y + 7*y to n*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/16 + 15*k**3\/4 - 11*k**2\/2 - 523. Factor b(u).\nAnswer: -u*(u - 44)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 32 = -7*o. What is the lowest common multiple of o and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -372 + -154?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160251.\nAnswer: 1160251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3)*1 + sqrt(3) + sqrt(3))**2*-6.\nAnswer: -186 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*z = 5167692, 0 = -5*j - 14*z + 18*z - 5167691. Let s = j + 3846539. Round s to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600 a factor of 3560481600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/5, 8, -2\/15, -1\/56, 1?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.58 - 47.42. Let d = y + 48.07. Let u(b) = -b + 2. Let z be u(5). What is the nearest to -2\/5 in -2, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1\/4 (c) -5 (d) -0.24 (e) -0.5 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7 - 1)*(0 + 0 - 10*g) as k*g + l and give k.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6 + -18.6. Let g = 6 - a. Let w = g - 21.1. Sort 0.06, w, -0.3.\nAnswer: -0.3, w, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7208.651ml?\nAnswer: 7.208651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1542 - 1542 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 16*u - 15. Let m = 1628\/44115 - -2\/865. Let s = m - 361\/102. Do u and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 - 1. Let n be i(-1). Let u(q) = -21*q + 2. Let s be u(n). Let g be (s\/20)\/1*15. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Suppose 9 = 3*a, 0 = 2*v + a + 4*a - 1566649. Suppose -2*s = -5*d + v + 3316689, -d + 819991 = m*s. What is d rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5555300 divided by 20.\nAnswer: 277765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i**4 + 2*i)*(2*i - 5*i + 5*i) - 6*i**5 + 2*i**5 + 3*i**5 - 5*i**5 + 2*i**5 - i + 2*i**5.\nAnswer: -4*i**5 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2504.0794 - 2507. What is q rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 385, 1740, 3999, 7162, 11229, 16200, 22075?\n\"Answer: 452*v**2 - v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (3 + -4)*5. Let t = 9 + m. Suppose 2*q - q = t. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 7. Let d be z(-8). Put d, 0, 3 in decreasing order.\nAnswer: 3, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 28. What is r(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4*l + 3*i**3 - 17*i**2*l + 74*i**2 + i*l - 2*i - 3532507 wrt i?\nAnswer: -36*i**2*l + 18*i - 34*l + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 80*u**2 - 156*u - 65. Let y be q(-38). Solve 36*s + y = -21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 9*r - 11. Let i be x(10). Let w be (1 + i)*6\/(-12). Solve 4*o - 4*u = -28, -3*o - u = -w*u + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 2. Let r be ((-4)\/t)\/(1\/4). Is r*1 - (-3 + -2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 5, -29, -101, -223, -407?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyy when four letters picked without replacement from ffyyiiyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/6749651 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7*b = -20. Let r(s) = -3*s + 1. Give r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/5)\/(i*(i*(i*i\/(i**(-2\/21)\/i))\/i)\/i*i*i*i) assuming i is positive.\nAnswer: i**(-724\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 146.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 696. Let p(v) = v + 7106353 - 7106353. What is j(p(y))?\nAnswer: -3*y + 696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlq when three letters picked without replacement from qllqlqlqqqqlqvqqlll.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l\/(l*l**(-2\/9))*l)\/l))\/l)\/l**(-11))**(-8\/5) assuming l is positive.\nAnswer: l**(-704\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 5*o - 1. Suppose 14 = -5*s + 4*p - 1, 3*s - 3*p + 12 = 0. Calculate the least common multiple of s and g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.285 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9758 - 1042. List the prime factors of o.\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + -1001001?\nAnswer: -1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (91\/(-104)*4)\/((-147)\/12). What is the fifth biggest value in -0.5, 3, 1\/2, 114, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 92\/5. Let q = -38.8 + 39. Put n, 5, q in increasing order.\nAnswer: q, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(75) + 3 - 1*(sqrt(170)*2)\/sqrt(10).\nAnswer: -9*sqrt(17)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*u + 26, 2*u - 45 = -5*k + 7*u. Suppose -3*s - 1725 = -k*s. Let f be (-3)\/2 - s\/(-6). Calculate the highest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2\/2 - 145. Let g(k) = 6 + 12*k**2 - 9 - 17 - 16 - 15*k**2. What is s(g(j))?\nAnswer: -3*j**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2 - 2*v**3 - 4*v + 2*v**3 - v**2 + 2*v**3. Determine c so that f(c) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 215470 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3683727?\nAnswer: 3, 41, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:30 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - y - 9 - 4, -26 = -g - 4*y. Suppose -2*z + 5*u = -g*z + 144, 4 = -u. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.71205 decades to months.\nAnswer: 6205.446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15356444757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2112\/13 - 69436\/429. Find the common denominator of g and -67\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/20 - i**4\/3 + i**3\/3 - 2*i**2 - i. Let t be o(4). Solve c - 1 = 0, 2*c = t*k - 0*c - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38401309 by 53.\nAnswer: 724553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 27 = -6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/5 - 66*i**2 + 3630*i - 66550 = 0. What is i?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4540973890 to the nearest integer?\nAnswer: 67387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -3*p + 23, -2*p + 4*j + 14 = 0. Let d(o) = -o**3 - o**2 + 7*o + 9. Calculate the least common multiple of d(-3) and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 + 30*k**2 + 23*k**2 - 53*k**2 + k**3 - 58 as c*k**3 + t + p*k**2 + u*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.16, -2\/7, -24, -0.2, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/130*(119\/7 + -22)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (374\/(-102))\/((-33)\/117).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36326191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212197\/2035750 + (-6)\/375.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -4 + -4 - ((30 - 5) + -16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 120576.\nAnswer: 1085184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*d - 14. Let f = 3 - d. Suppose r - 3*r = -2*n, 4*r = -5*n + 9. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*(-30)\/20. Suppose -i*u - l + 7 = 0, -2*u - 5*l = 1 - 4. Suppose 8 = u*f + 4*j, 0 = -0*j - j + 1. Which is bigger: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*6 - (3 + -1). Suppose -112 = -3*a - i*y - 6, -2*a + 2*y = -52. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1529 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:01 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 15, 3*c + c - 272 = -2*a. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**5\/30 - f**4\/24 - 7*f**3\/18 + f**2\/12 + f + 37. Solve h(s) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**6\/90 + h**5\/15 - h**4\/2 + 3*h**3\/2 - 7*h. Let f(m) be the second derivative of l(m). Suppose f(s) = 0. Calculate s.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y + y + a, -4*y - a = 12. Are y and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10338 * 2\nAnswer: 20676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/8 - (-13 + -12). Solve -3*p = -h*p - 22*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51639 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: Let z(c) = -c**3 - 182*c**2 - 181*c + 3. Let q be z(-181). Solve 4*i - q = -5*o - 8, -4*o = -3*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-3)\/3 - 8. Let d = i - -16. What is the second derivative of 3*k**4 + d - 6 - 2*k wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-372)\/(-10)*(-45)\/3*(-1379)\/12411.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-575)\/45 - (322 - 335)) + (-33)\/135.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n**3*p**3*u**3 - 2*n**3*u**2 - 3*n**2*p*u**3 + 2*n - 17*p**3*u**3 - 36*p**2*u**2 wrt p?\nAnswer: 30*n**3*u**3 - 102*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/243 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from pgupkuuuppjjuuupuu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -720*f**3*p**2 - 2*f*p**2 - 31*p**2 + p - 7 with respect to f.\nAnswer: -2160*f**2*p**2 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 22. List the prime factors of n(-18).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = 8*f, -5*f - 20 = -t. Let w be (t\/(-8))\/(-2 + 4). Solve -k + w*k = -2*r, -r = 2*k + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*n**3 - 91*n**3 + 185*n**3.\nAnswer: 46*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**7\/35 + 7*n**3\/3 + 8*n**2. What is the first derivative of s(o) wrt o?\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 - 2)*(-76*h + 29*h - 61*h) - 3*h + 4*h - 3*h)*(2 + 0 - 6)*(0 + 0 + 1) to l*h + n and give l.\nAnswer: -2584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b9a + -154a?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6)\/9 - 26\/(-26).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -389*k - 22. Let y = 550 - 552. List the prime factors of d(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262937300 to the power of 1\/3, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -423, -626, -827, -1026, -1223?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x + 131. Let c = 6 + -6. Is l(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -27*y + 56 + 58. Let x = 6 - 2. Sort x, y, 0, 0.5 in decreasing order.\nAnswer: x, y, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*b*l**3*u**3 + 1226*b*l**3*u - 38855*b*l**2*u**3 - 2*b*l**2*u - b*l + 2*l**3*u**2 - 119*l**2 wrt u.\nAnswer: 174*b*l**3 - 233130*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23166 - 509739\/22. Let f = -44316 - -7843912\/177. Let h = f - 16769\/3540. What is the common denominator of q and h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 222*x**2 + 59*x - 58. Determine k(1).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**3*q**2*y + 11*c**3*q**2 - 1833*c**3*y - 51*q*y - 3*y wrt q?\nAnswer: -4*c**3*q*y + 22*c**3*q - 51*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2671, -5586, -8509, -11446, -14403, -17386, -20401, -23454?\n\"Answer: -s**3 + 2*s**2 - 2914*s + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 3*c + 2. Let s be (-16)\/6 - (-10)\/15 - -4. Let r be n(s). Calculate the highest common factor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71, 81, 83, 71, 39?\n\"Answer: -y**3 + 2*y**2 + 11*y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-10))\/(71\/(-35) + 2). Let p(w) = -37*w + 12*w + q*w. Let f(u) = 2*u**2. Determine p(f(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*f + 9, 0 = -f - 2*z + z + 3. Suppose f*v = -4 + 2. Let y(q) = -2*q + 11. Let p be y(3). Sort -4, v, p, -6 in decreasing order.\nAnswer: p, v, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.2 + 2.2. Let p = 17.7 + x. Let q = p + -0.7. Put -1\/2, q, 3 in decreasing order.\nAnswer: 3, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 67 = 17. Suppose 4*k + 3*h - h - 370 = 0, -k + 82 = 4*h. Calculate the remainder when k is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 353476?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 3:37 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/13)*(((q\/(q**(5\/8)\/q))\/q)\/q)\/q*q\/q**(-35)*q**(-4\/13) assuming q is positive.\nAnswer: q**(3567\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/7 (b) 0.5 (c) 0.0285 (d) 0.1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-716)\/14 + 27352\/23933?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 1178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5861522.\nAnswer: 2, 2930761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215 - -192. What is the highest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63059660?\nAnswer: 2, 5, 3152983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 865244\/24 + ((-385)\/66 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-42)*14)\/(25\/(-30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2356 - -2045?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453074?\nAnswer: 2, 19, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14*y. Let o be l(2). Let z be o\/(-6)*21\/(-14). Solve 5*p + z - 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-5\/3)*y**(-6)*y)\/(y*(y\/(y**(1\/3)*y))\/y*y*y*y**(-3\/5))*(y**(-7)\/(y\/(y*y\/(y\/(y**(-1\/15)\/y)))))\/((y**0*y)\/y**(-2\/11)) assuming y is positive.\nAnswer: y**(-879\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - 3*b + 1. Let p be w(1). Suppose 3*i - 202997 = u, 4*u = -0*u + p*i - 811997. What is u rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5096 - -56019\/11. Let a = -653\/204 - 28\/51. Find the common denominator of a and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -83*u + 86*u. Let k = -1 - -3. Suppose -8 = 2*d + u*f, 5*d - k*f + 8 - 48 = 0. Solve -2*r + 0*z = -z + d, 2*z = -4*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -4\/7, 228, 4\/9, -5.\nAnswer: -5, -2, -4\/7, -0.1, 4\/9, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. What is the third derivative of -i*f**3 - 4*f**4 + 7*f**4 + 4*f**3 + 2*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7860 + 64*p**3 + 27500*p**2 - 19654*p + 83*p**3 - 133*p**3.\nAnswer: 2*(p - 1)*(p + 1965)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15620 and 852.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - ((-8 - -5) + 3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-56) - 662\/(-14). Suppose -c = -6*f + 73. Solve 12 = p + 2*x, 0*x = 5*p + 2*x - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39103 - 27*u**3 - 4*u**2 - 39103 + (0*u**2 + u**2 - 2*u**2)*(3 - 3*u - 3).\nAnswer: -24*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -521952374 divided by -2?\nAnswer: 260976187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x. Suppose -9*t + 4*t + 1180 = x. Suppose -14*b = -10*b - t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -623609 or -623645?\nAnswer: -623645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g + 5*s - 18, -4*g - 11 = -5*s. Suppose 51*j - 54*j = 2*n - 10, -j + 25 = 5*n. Solve j = 5*b - g + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 142*b**3 - 59*b**2 + 6*b - 1. List the prime factors of x(4).\nAnswer: 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/10 - 42\/2520.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eehhhvehhehv. Give prob of sequence hh.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16015 and 2?\nAnswer: 16013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - 7*x + 8. Let h be r(4). Calculate the highest common divisor of h and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:14 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/5 - (-35996)\/(1 - -1). Suppose -5687 + j = 15*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 5. Let m be 4*3\/9*(-9)\/(-4). Suppose -15 = -m*i + 5*j, -4*i = -j - 4*j - 15. Put q, -4, -2, i in ascending order.\nAnswer: -4, -2, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from nqqqqqqnqqqqq?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721186 is divided by 7284.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 0*a**5 + a - 5*a + 10*a**3 - 10*a**2 + 5 - 5*a**5 + 5*a**4 - a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150776 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*q = 149*q - 7865. Is 57 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133\/2 + -68. Let c be -4 - ((-89)\/(-178) + 66\/3). Sort -2\/9, c, n in descending order.\nAnswer: -2\/9, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 533 - 532.3. Which is the third smallest value? (a) s (b) -1 (c) -2\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135*g**4 + 9799 wrt g.\nAnswer: 540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66, 195, 402, 681, 1026?\n\"Answer: -q**3 + 45*q**2 + q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 7. Let m be 3 - (0 - (2 + l)). Solve 4*q + 5*s + m = 0, 2*q - q - s = -6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, h: 1}. Give prob of sequence hv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 86 = -10*k. What are the prime factors of 796 - k\/(1\/1)?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 80*p**3 + 345*p**2 - 470*p + 200.\nAnswer: 5*(p - 10)*(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045659618.3 + -692?\nAnswer: 3045658926.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5\/3 + 2*b**4\/3 + 4*b**3 + 2*b**2\/3 - 4*b\/3 = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6805.\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -191*z - 573. Let f be t(-3). Solve -2*q + 2 = -f*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185831 (base 10) in base 15?\nAnswer: 3a0db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 304182 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 = 5*h - 734. What is the greatest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185 - -191. Find the second derivative of 13 - 2*n + 203*n**2 + i*n - 10 - n wrt n.\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110028 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l + 6*l**2 - 5*l + (-14*l - 35*l + 17*l)*(-l + 1 - 1 - l - l + l + (6*l - 4*l + 0*l)*(1 - 4 + 1) + 1 - 2*l - 1 - 3 + l + 3).\nAnswer: 230*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = 38. What is the remainder when 66 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a9c07 (base 16) to base 3\nAnswer: 12020212112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100010001110101110 (base 2) in base 14?\nAnswer: -dca06a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 27. What is the closest to k in 2, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32556, -32555, -32552, -32547, -32540, -32531, -32520?\nAnswer: -32507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, 5, 50 in ascending order.\nAnswer: 0.2, 0.3, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) + -3 - sqrt(275)) + 4 - sqrt(275) - sqrt(132)\/(sqrt(12)*-4*-1))*-4)**2 + -5.\nAnswer: -168*sqrt(11) + 4862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 - 9532075*u**2 + 4543017924240*u + 4543027456320 = 0 for u.\nAnswer: -1, 953208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*q + 20 = 0, 23*t - 20*t - 2*q - 4 = 0. Put 5, -7, 3, t in ascending order.\nAnswer: -7, 3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**10\/50400 + x**9\/10080 - x**7\/840 - x**6\/240 + x**5\/12 + x**2. Let r(m) be the third derivative of n(m). Factor r(a).\nAnswer: 3*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1484 + -1483 + 0 + 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10*i = -4*p - 64, 0 = p - 2*i + 29. Let o be (2 + -1)\/((-1)\/p). Let h = 16 + o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -3\/797186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 8*p**2 + 22*p + 11. Let x = 28921 - 28931. Determine o(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -23. Let h(n) = n**2 + 3*n - 2. Let d be h(-2). Let m be d - (0 + -3 + 2). What is the third biggest value in -1\/2, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 204\/139 in -3, -4.3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37506*j**3 + 19346 wrt j.\nAnswer: -112518*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*v**2 - 4 + 0*v + 4*v - 436*v**3 - 350*v**3 + 784*v**3 - 2*v**4 to t*v + h*v**2 + u*v**3 + p*v**4 + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2 + 20\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -2259\/8 (c) 0.5 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*v = 2 - 14, -3*h = -5*v - 33. Let t be (1 + h\/(-9))*6. Solve -c - 6 = t*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75109 divided by 8\nAnswer: 75109\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*d = -8, 3*t + 2*d - 22 = -0*t. Suppose -3*a + 5 = -t. What is the third smallest value in a, -4, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2469*a + 99 + 357 = -4874*a + 2443*a. Let v(u) = u**2 + 5*u. Let r be v(-5). Suppose r = 5*n - 72 - 78. Calculate the highest common factor of n and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 14 = -0. Let g be o\/(-4) - 1\/(-4). Suppose 27 = k + g*k + 5*h, -3*h = -5*k + 11. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3175 - -3758. Let z = -15 - -15. Is y equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56492 is divided by 17847.\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 0.2 (c) -0.19 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*m**2 + 72*m - 72*m as h*m**2 + f + t*m and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1077.7 - -1078. Are n and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11410.9 times 15?\nAnswer: 171163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-49)\/(-14))\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001681913825 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*s - 29 = 0, -204 = -5*p - 2*s - 183 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2434*w**3 + 20*w**2 + 111252*w - 1?\nAnswer: -14604*w + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3899090 (base 11) to base 13.\nAnswer: -1522c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*q**4 - 106824351*q**3 + 178040604*q**2 - 71216244*q = 0. What is q?\nAnswer: -11869374, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 12*u**2 - 9*u - 7. Let r(x) = 2*x**3 + 23*x**2 - 18*x - 15. Let a(o) = -7*i(o) + 4*r(o). Let t be a(-9). Is -2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58109825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/100)\/((-10)\/(-75)). Let q(d) = 2*d**2 - 4*d - 18. Let z(c) = 3*c**2 - 4*c - 19. Let b(p) = -6*q(p) + 5*z(p). Is 27 a factor of b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-45) - (-150)\/(-1080)*-4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1544\/237 - 495117\/158. Let q = u + 3128. What is the common denominator of -77\/10 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/3 + 4124*s**2\/3 - 2752*s = 0. What is s?\nAnswer: -2064, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 0*j + 2*j + (-j - j + 0*j)*(2 - 1 - 2) - 64*j + 98*j + 90*j + (-2*j + j - j)*(0 + 6 - 4) + j - 2*j - j in the form y*j + i and give y.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2096 - 825. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -42827\nAnswer: 3\/42827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-12)*((-8)\/(-6) + 0). Let y(p) = 67*p + 6. What are the prime factors of y(g)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/15147 and 35\/17952?\nAnswer: 484704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97519\/19910 + -4\/1991. Find the common denominator of q and -7\/106.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22403115 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + k + 4*k, -4*b = 5*k. Let c be (1 + 3)\/(3 + -1). Let q = -3 - -6. Solve 4*x - q*x - c = b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -0.0205.\nAnswer: 0.3795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3, 0.3, 8, 60 in ascending order.\nAnswer: -2, 0.3, 3, 4, 8, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 95545 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 690? (a) -0.3 (b) -5 (c) 3 (d) -74 (e) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 21 + 112 + 71 = -3*t, 5*k + 4*t + 7064 - 7079 = -0*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 54 = -0*w - 4*p, 3*p + 79 = 5*w. Let d(f) = -f**2 - 6*f + 9. Let k be d(-8). Let z = w + k. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Suppose -4*v + 35 = -5*j, 3*j - l = -2*v - 2. Let z be (-8)\/12 - (-4)\/j. Which is the closest to 0.1? (a) z (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-2)\/2)*5. Suppose -4*n + 13 = -7. Let f(s) = -3 + n - 3*s + 0*s. Calculate f(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45670.93 tonnes in micrograms?\nAnswer: 45670930000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10637 - -1?\nAnswer: 10640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i + 42 = -276 - 123 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 44 = -4*z, -25*z - 59*z + 748 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349299331.\nAnswer: 349299331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (11 - 2)\/3. Suppose -g = v*g. Which is the biggest value? (a) g (b) -2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02665259 to 5 decimal places.\nAnswer: 0.02665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 67*k**2 + 7. Let v(a) = -132*a**2 - 14. Let s(z) = -3*v(z) - 5*y(z). Differentiate s(q) with respect to q.\nAnswer: 122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 8*p - 24. What is the remainder when (24\/(-20))\/((-4)\/50) is divided by u(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2820.05 - 2820. Which is the second smallest value? (a) -1 (b) u (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 12) to base 5\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjr when three letters picked without replacement from rrfj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2 - 1218\/4). Suppose 3*i = 2*s - 248, -5*s + c = -0*i - 4*i. What is the remainder when 3\/(15\/20) + s is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247347 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 - 262 = 4*r. Let l = 126 + r. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -55. Which is the second biggest value? (a) v (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:07 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 133. Let o = a + 67. What is the remainder when (-691)\/(-11) - 12\/o is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 908*d**2 + 52864*d - 150528.\nAnswer: 4*(d - 112)**2*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63015 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2252\/5 - -2251\/5. Which is the second biggest value? (a) 13 (b) o (c) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15649 divided by -41.\nAnswer: 15649\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 222*l - 4913. Let p be k(-25). Solve p = -241*x + 247*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/13)*c)\/c)\/c**(-1\/7))**(-2\/57) assuming c is positive.\nAnswer: c**(2\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -6 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7 - (-79)\/(-28) - (-42)\/147\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-154)\/(-24) - 0)\/1 and 59\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/36 - (-5702)\/(-132) - 9716\/(-26719)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 20, 6*u - 2*u + 32 = t. Suppose 0*y = -4*y + 16, 3*x - 3*y = -t. Find the third derivative of -5*h**2 - h**4 + 3*h**4 + x*h**4 + 3*h**4 wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 + s**2 + (0 + 0 + 1)*(-s**2 - 3*s + 3*s) + s**2 + s**2 + 0*s**2 + 2*s**2 - 3*s**2 - 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 4. Let v be w(3). Let s = 10 + v. Suppose -3*q + 53 = -2*n - 13, s = -2*n. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-364)\/(-42) - (-2)\/(4\/(-18)). Which is the nearest to 0.05? (a) r (b) 2 (c) -7\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 394*p + 218. Is 43 a factor of u(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**3 + 5*z**2 + 3*z. Let h(f) = -f**2. Let s be (-4)\/(-6)*9\/6. Let y(g) = s*u(g) + 5*h(g). What is the second derivative of y(t) wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 89. Let u(h) = h**2 + 3*h. Let s be (-20)\/8 - (-2)\/4. Let a be u(s). Sort -4, k, a, -8.\nAnswer: -8, -4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 18. Suppose -2 = 4*o - r. Let y(t) = -t**2 + 11. Let x be y(o). Which is the second smallest value? (a) 1\/5 (b) x (c) 0.03 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1087*v - 300 + 300 + 2394*v - 1320*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53\/2 + 587\/22. Suppose -379 = l + 144. Let v = -549 - l. Sort g, v, 4 in descending order.\nAnswer: 4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 9\/(-15)) + (-2780452)\/(-155) + 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160649 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15722 + 15722 - 15*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2890 minus -811.8886?\nAnswer: -2078.1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388835 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6\/19*g + 2\/19*g**2 = 0. Calculate g.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -68. Calculate the greatest common factor of 245 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 29 = -i. Suppose -i = -5*q + 21. Solve 3*z - 2 = q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -23*d**6\/10 - 11*d**5\/30 + d**3\/3 - 610*d**2. What is the third derivative of v(z) wrt z?\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 34*p - 20 = 0. Which is the closest to 0? (a) -13 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-104) + (-72)\/(-130).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 68143536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 249, 506, 763, 1020, 1277, 1534?\n\"Answer: 257*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105194 or 420781\/4?\nAnswer: 420781\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3353*w + 114290 = 27501 - 184804 for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 19*p + 120. Give v(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y = 32. Calculate the smallest common multiple of y and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = -2*r, 0 = -2*r + r - y + 7. Suppose 5*l - 35 = 2*u - u, -4*l + 12 = -r*u. Calculate the remainder when 23 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 times 76714?\nAnswer: 104637896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*g - 59525, -b - 3*g + 23785 = b. Suppose 0 = 3*f + 2*f - b. Suppose 5*i - 5*s = f, -2*i - 1913 = -6*i + s. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/171 + 28*137\/18. Solve 223*w = a*w + 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14*v. Let w(j) be the third derivative of 0*j**3 + 0*j + 0 - 1\/20*j**5 - 61*j**2 + 0*j**4. What is w(z(n))?\nAnswer: -588*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2067176585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(8\/5)\/c)\/c*c**(-3\/7)*c**(-10)*c**(-6\/19)\/c*c*c)**(-7\/2) assuming c is positive.\nAnswer: c**(2708\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1928 and -45806447?\nAnswer: 45806447.1928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48588050983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -2*f. Suppose 3*k - 7 = 5. Sort f, k, -3 in descending order.\nAnswer: k, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1953605 or -1953542?\nAnswer: -1953605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 - 1) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 22 = -26. Suppose -3*j = -k - 0. Suppose 0 = -4*d + 16, -5*h + 0*h = -j*d - 89. Calculate the highest common factor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283119 + -282875.218. Let l = i + -244. What is l rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068798060 to the power of 1\/3, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:35 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d = -17*d + 35*d + 220 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136567523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -30412, 9\/4, 2\/3, 0.5, -20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 0*z + 0*z + (-z - 3*z + 2*z)*(2*z - 2 + 2) + 2*z + 0*z - 4*z**2 + 2*z.\nAnswer: -11*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142 - -143. Which is smaller: f or 1\/108?\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*(x\/(x\/((x\/(x*x*x\/((x\/(x**5*x))\/x)*x))\/x)))\/x)\/(x\/x**6*x*x*x\/(((x*(x**(2\/3)*x)\/x*x*x*x)\/x)\/x)*x*x))**20 assuming x is positive.\nAnswer: x**(-3620\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2390 is divided by 1\/3 - (59840\/60)\/(-44)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 13 + 547*v**2 - 128*v**2 - 14 to the form o*v**2 + l + c*v and give o.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53095051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -416\/21, -0.4, 0.3, -5, -2 in decreasing order.\nAnswer: 0.3, -0.4, -2, -5, -416\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17510 and -1450?\nAnswer: -25389500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3137*m**2 - 12*m - 292. Let x(r) = -r. Calculate x(z(w)).\nAnswer: 3137*w**2 + 12*w + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 5*q + 475. Let n(x) = -x**2 + 2*x + 238. Give 5*n(f) - 2*r(f).\nAnswer: -3*f**2 + 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - 11*r**2 - r + 3*r**3 + 12*r**2 + 6*r - 10*r**3 - 6*r + (2 + 3 - 6)*(-4*r**3 - 2*r**3 + 7*r**3) - 5*r**3 + 2*r**3 + 5*r**3 - 67 + 67 + 139*r**3.\nAnswer: 133*r**3 + r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-666)\/(-42)*(-6)\/(-9). Let w = m + -76\/7. Which is the biggest value? (a) 0.1 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.28 - 4.34112. Let l = 57.94 - 58. Let r = a - l. Round r to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = 1168 - 182. Suppose -r + 0 = o - 7, -o - 3 = 0. What is the tens digit of (b\/6)\/(r\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - (-12)\/20. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8770858 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-20)))\/(m\/(m*m**(-4)))*(m\/m**(-12)*m)\/m*m**(-6\/5) assuming m is positive.\nAnswer: m**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 + 44*k\/9 + 64\/3.\nAnswer: 2*(k + 6)*(k + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*5\/210)\/(((-150)\/(-8))\/(-15))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48\/7*t**4 + 18\/7*t**3 + 0*t + 0 + 32\/7*t**5 - 2\/7*t**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38372110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 81*j - 80*j - 101606 = 0, 2*k + 3*j = 101606. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -257 and -13729029.\nAnswer: -13729286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(2\/9)*x*x**(-10\/3))\/(x**32*x**(-12\/7)\/x) assuming x is positive.\nAnswer: x**(-1817\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 34*f - 4262. Let p(k) = -12*k + 1427. What is -14*p(i) - 5*r(i)?\nAnswer: -2*i + 1332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - q**2 + 3*q**2 + (2*q - q - 3*q)*(2 - 2 - 3*q))*(-12*q + 15 - 15).\nAnswer: -96*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 10. Let z = 123 + -101. Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4970481 is divided by 4970459?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1849 - 1837.53. Let i = 1.77 - f. Round i to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 10 - 21) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*o - i - 5, -4*i - 18 = 2*o. Let q = o - -1. Sort q, -5, -2 in increasing order.\nAnswer: -5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359754?\nAnswer: 2, 3, 186653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*j = 13, 5*f - 10*j + 8*j - 25 = 0. Solve 0 = 3*a + 3, 0*c - 3*c + f*a = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.1 - 111.9. Let j = 134 + i. What is the closest to 2 in j, 2, -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-78)\/9)*-3. Let n be (-4638)\/i - (-14)\/(-49). Suppose 4*o = m - 54, 3*o - 95 + n = 5*m. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 10*a**2 - 10*a + 15. Let s be g(-11). Suppose 4*c - c = x - 163, s*c + 782 = 5*x. What is the highest common divisor of x and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 10*w - 5. Let a be n(9). Let b(v) = 2 - a*v**3 + 7*v**3 - v - 4*v**3. Suppose -2*z + 7*z = -3*c + 15, z - 3 = -c. Determine b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:32 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/((-4)\/16)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ab2 + -5?\nAnswer: 5aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 27060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-31))**3\/(i**(-21)*i)**42 assuming i is positive.\nAnswer: i**750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*d + 5*m, 0*d + 3*d = -5*m + 39. Let f = 19 - d. Sort -0.1, f, 0.5 in ascending order.\nAnswer: -0.1, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let h(q) = 7*q - 564109. Calculate h(k(r)).\nAnswer: -14*r**2 - 564109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 891? (a) 0.016 (b) 0.3 (c) 26\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*s - 19 + 133 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111101 (base 2) in base 8?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934440461 to the nearest integer?\nAnswer: 30569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 877784 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-96)\/9 + -1. Let s be (-14)\/v - (-4)\/18. Solve s = -4*m + 4*i + 36, -3*m - 4*i = -5*i - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-230))\/((-16)\/30)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bb4 (base 13) in base 10?\nAnswer: -17385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 - 360092*p**2 + 30242436*p - 635054112 = 0. Calculate p.\nAnswer: 42, 360008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 19 + 3)*(v + 2*v + 6 - 2*v).\nAnswer: -26*v - 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:18 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -28192 at most as big as -28188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1318 - 1101. Calculate the remainder when q is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(0 - -1) - 2. Let h be (-222)\/(-27) + (-4)\/18. Suppose h*u = 27*u. Solve u = -2*a - 2*r - 17 - 1, -5*a = -n*r + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 809600, 1619196, 2428792, 3238388, 4047984?\nAnswer: 4857580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5055 is divided by 321?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**4 + 5*b**3 + 3*b**2 + 13*b + 5. Let v(q) = -q**3 - q**2 + q - 1. Let a(o) = k(o) + 5*v(o). Find the second derivative of a(m) wrt m.\nAnswer: -12*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:21 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 5, -1.08, 1\/4, 2, -1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.4 (b) 3\/2 (c) 57 (d) 0.5 (e) -242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -352311, -348910, -343241, -335304, -325099?\n\"Answer: 1134*x**2 - x - 353444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from dededdddddddeddd.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57275.06 decades?\nAnswer: 6873007.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12604212 (base 7) to base 10\nAnswer: -1161162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 30*i - 1056. Calculate the greatest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272604827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/66 + 2\/6. Let n be (-1)\/(-3)*(-55 + 7)\/(-4). What is the third smallest value in v, 0.5, n, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 23*z**3 - 378*z**2 - 63. Let c(m) = -21*m**3 + 379*m**2 + 54. Calculate 7*c(k) + 6*g(k).\nAnswer: -9*k**3 + 385*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144.212 - -0.212. Let r = v - -144.016. Round r to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 9*r - 2285. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 13. Let m be (8 - 2) + (0 - -3). Let i be k(m). Solve -t + 0*t + i*d + 5 = 0, -4*d = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73619 by 809.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**3 + 5*y**2 - 6*y. Let v be 8\/(-3)*12\/8. Let k(g) = -4*g**3 + 6*g**2 - 6*g. Let w(b) = v*j(b) + 6*k(b). Solve w(u) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-2 - (-155)\/75). Suppose 0 = 4*v + 4*h - 24, 3 = -2*v + 6*h - 3*h. Which is the closest to v? (a) 1 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 30 = -3*p, -3*d + 5*p = -34. Solve 5*u - 22 = 4*f, f = -2*u - 2 + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/55 and 7\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334 and 22464.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1781 divided by -23.\nAnswer: 1781\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/3)\/n*n*n\/(n*n\/((n*n*n**(-37)\/n*n)\/n))*(n**(-1\/5))**(39\/5) assuming n is positive.\nAnswer: n**(-2942\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -581.95 + 582. Let l = 0.1 - 0.3. What is the closest to l in -1, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfyggdyfyyf. What is prob of sequence gg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 631 - 619. Solve 25*i**2 + 22*i**3 - n - 59*i - 13*i**2 + i + 36*i**2 = 0.\nAnswer: -3, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*j + 2*f - 10, 0 = 2*j + f + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*k - 174 = 8*c + 175 - 402, 95 = -2*c + 11*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170278151929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ca3 (base 14) to base 15\nAnswer: b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2907*p = 82672 - 94300 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 2, 0, 3, 18 in descending order.\nAnswer: 18, 3, 2, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 16*i**2 + 5. Let x be o(-8). Solve -1 = x*f - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0\/2)\/5 + 48 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38580 or 38582?\nAnswer: 38582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4.0461 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 10 = -5*z. Let m = 12 - z. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/2 - 7524*t**2 + 60129*t\/2 + 37590.\nAnswer: 3*(t - 5012)*(t - 5)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 0 - d**3 + 26*d**2 + 6 - d - 5 as l + n*d + k*d**2 + x*d**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:02 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 8. Suppose -2*m + 12 = -0*m. Let z be f(m). Is -33*(-2)\/(-6)*z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 10*y - 27. Let t be i(-5). Which is the second smallest value? (a) 0.5 (b) 5 (c) t (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6*(-68)\/238. Is -2\/45 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 144\/47, 1\/5, 0.24?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 101*w + 1313. Determine v(-77).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*u - 15 = -13, 0 = m + 5*u + 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1918 - 3?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 1, v: 7, b: 4, d: 2}. Give prob of sequence dbvd.\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -11. Let d be (p\/18)\/((-1)\/(-6)). Let v = 0.8 + -5.8. What is the closest to 2\/3 in v, d, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/3 (b) 3\/1633 (c) 0.06 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -140*c + 142*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 0*u - 6*u)*(-8 - 6 - 39) to g*u + t and give g.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -4*p**6\/5 + 38*p**5\/25 - 4*p**4\/5 + 2*p**3\/15 - 187. Find f such that u(f) = 0.\nAnswer: 0, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3)\/3 - -6. Let p be 850\/18 - y\/18. Suppose 0 = 5*a + 7 - p. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46070726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 12192?\nAnswer: 12192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 942456, 942491, 942526, 942561, 942596?\n\"Answer: 35*t + 942421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9767 = -67*t + 9499 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113541 (base 7) to base 5.\nAnswer: 1124021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -9)\/((-3)\/2). Suppose 898 = 55*m - 37. Find the second derivative of -a*v**4 + 14*v - 4*v**4 - m*v wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 676*m - 36499. What is w(54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3*(-2)\/3. Let y be -3 - (-2)\/o*-7. Sort y, -4, -0.5 in decreasing order.\nAnswer: y, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -53138\/7 + 652\/7*g - 2\/7*g**2.\nAnswer: -2*(g - 163)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 - 14*l**2 - 12*l**2 to the form p*l**2 + w + y*l and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46624 is divided by 471.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -3202?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 4:14 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**2 + 810*u - 810*u - u**4 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*d + 32 - 9, 3*d = 3*o + 9. Let c be (-8)\/20*(-5)\/23. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.56 - 41.66. Let f = r + 37.19. Is 7 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m + 0*m - 3*m + (2*m + 0*m - 3*m)*(4 + 0 - 3) + (47 - 1 + 0)*(0*m + m - 2*m) in the form a + d*m and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = -13*c + 1014. Let f = c - 216. Let m be ((-204)\/f)\/(6\/20*1). Solve -2*s + m*o - 2 = -0*s, -2*s = -3*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*r + 39*r - 27390 = 0. Calculate the remainder when 355 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t + 4*v + 207 = -43*t - 335 + 90, -2*v + 3*v - 4 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0106028 rounded to 4 decimal places?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -3 + 0 + 1. Suppose -c + 3*p - 12 = 0, 9 = w*c + p - 8. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.8342ml in litres?\nAnswer: 0.1068342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/2*(-232)\/580.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1471, -2982, -4507, -6052, -7623, -9226?\nAnswer: -10867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -231? (a) -9.3 (b) 0.8 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*n + 96 = -24*n - 74 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*u + 42 + 44 - 84)*(-1 + 2 - 2)*(0*u**2 + 0*u**2 + 2*u**4 + (-5*u + 4*u + 0*u)*(-u**3 + 0*u**3 + 0*u**3) - u**4 - u**4 + 0*u**4).\nAnswer: -31*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11238?\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 13 + 10)*(7*k - 34 + 34) + (-1 + 1 + 3)*(k + 1 - 1) - 2 - 5*k + 4*k + 0*k.\nAnswer: 65*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -18*g**2. Let q(a) = 9*a**2. What is q(t(r))?\nAnswer: 2916*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = f + f - 4, 5*f - 22 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -817?\nAnswer: -817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193627.\nAnswer: 7, 139, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -339317, -9 in ascending order.\nAnswer: -339317, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 3*l - 8*l**2 - 57 - 9*l**2 - 8*l**2 + 38*l**2.\nAnswer: 5*l**2 + 3*l - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/29 - 179\/203. Which is the second smallest value? (a) 16 (b) w (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 + k - 9. Let q be y(3). Let j(m) = m**3 + 4*m**2 - 3*m - 4. Let h be j(-4). Let c(v) = -h*v + 6*v + q*v. What is c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3868 and 24?\nAnswer: 23208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16*c. Let d(k) = -6*k. What is s(d(j))?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.33555 and 0.15?\nAnswer: 0.18555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*t - 6, i - 4*i + 31 = -5*t. Find the third derivative of 0*a**5 - a**i + 3*a**2 + 3*a**5 + a**2 wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0 - 2*p + 6*p + 0. Let s(a) = -a - 3. Let q(i) = -i - 5. Let k(m) = 3*q(m) - 5*s(m). Calculate k(b(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2499 - 32.\nAnswer: -31.7501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 0.19, -4 in increasing order.\nAnswer: -5, -4, 0, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/70*(-55)\/33?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 6*i - 6. Let x(m) = -m**2 + 5*m + 5. Let t(h) = -5*j(h) - 6*x(h). Let y(f) = 4*f. Determine t(y(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b + 0*b - 51*b - 4 - 169*b**2.\nAnswer: -169*b**2 + 4*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393292031 to the power of 1\/2, to the nearest integer?\nAnswer: 58252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34, -14, -3\/5, 0.5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -150, -116, -78, -36?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5*n + 22*g**4*n + 4076*g**2 - g*n - 11*g - 61*n + 80 wrt g?\nAnswer: 40*g**3*n + 264*g**2*n + 8152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 100*y**3 - 10008*y**2 - 169776*y - 816480.\nAnswer: 4*(y - 70)*(y + 9)*(y + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*h = -93*h + 16207 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 2*b - b + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5704 - 5717. What is the closest to 1 in d, 0.3, 5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1339 is divided by (-11 - 1)\/(387\/3311 - 12\/22).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f - 18. Let h = 7 - 7. Let v be i(h). What are the prime factors of 4\/v + 620\/36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2680501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuecj. What is prob of sequence uc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k + 11. Give z(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 7 + 15 = 0. Suppose j - 149 = -4*n, -n + 37 = -2*j + b. Let o = 95 - n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 33213120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8531.449 litres?\nAnswer: 8531449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 3, g: 1, r: 4, w: 5, q: 1}. Give prob of picking 1 q and 2 w.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 - 52?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174658 and 31756.\nAnswer: 349316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 28. Suppose -l + 6 + c = 0. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010101 + -100?\nAnswer: 110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138602 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1\/(-6)*10. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 241*u**2 + 2*u - 1. Let w be o(1). Suppose 0 = -1101*x + 1121*x - 440. What is the greatest common divisor of w and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -13, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4631120 divided by 610.\nAnswer: 7592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2 - 9*j. Let b be (-30)\/55 - (-232)\/22. Let k be m(b). Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/30)\/((-3)\/10). Is (-1)\/y + 200760\/32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 724264\nAnswer: 37\/724264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 19*i - 3, 3*i = 5*s + 3. Solve 0 = l + 4*z - 2 - 12, s = -2*l + z + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -73\/3. Is 1 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -606878 or -606874?\nAnswer: -606874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 133378336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - t + 7 = 14, 2*t + 24 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1369 and 8.\nAnswer: 10952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 22*r**2 + 82*r - 4. Determine f(-19).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f + 2*f + 0*f to b + h*f and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by -4 - -3 - -1*4 - -44?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1134 + 2486. What are the prime factors of w?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6*(-6 + 0)\/3. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 + 3*r**3 + 2*r**3 - 3*r**3 in the form b*r**3 + m*r**2 + o*r + g and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 7*y**2 + 3. Give j(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 1, z: 1, r: 7}. What is prob of sequence rprp?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 653*h + 3940. What is x(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2233300110 (base 5) to base 14.\nAnswer: -9382a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = 0, -q + 4*n = -0 + 6. Solve q*g + 2*g = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 153\/4. Let l be 12\/(-3 - -7) + -7. Let z = 9 + l. What is the nearest to -0.1 in q, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -17952*l**3 + 13*l**2 - 11. What are the prime factors of n(-1)?\nAnswer: 2, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (131*q - 265*q + 135*q + 41)*(-44 - 31 + 45)*(1 - 3 + 1) as w*q + i and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 5*n - 21, -3*f + 4*n + 0 + 17 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1633 + -972. What are the prime factors of p?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.88 and 0.00099.\nAnswer: 0.0028512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-26)\/(-6))\/(4\/6). Is (-6)\/10 + (1898\/x)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -4 + -5 + (-2 + -10 - -66)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 107899*b - 2 - 108000*b to c + z*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 54*f - f**3 - 4 - 147*f**2 + 13 + 122*f**2 + 0. Give c(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + 11 - -8) + 5 + 6 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + -2. Let f = -9 + 9.4. Let v = -2.84 - 0.16. Which is the closest to 0? (a) f (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -131, -191, -249, -305, -359, -411?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 789471 * 0.099\nAnswer: 78157.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5 + 66\/(-30) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/75*75)\/((-10)\/(20\/3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24270691?\nAnswer: 2843, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20001822.\nAnswer: 2, 3, 29, 139, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04108 minus -610?\nAnswer: 609.95892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**3 - 80*l**3 - 111*l**3 + (-l**2 + 3*l**2 + 2*l**2)*(-2*l + 2 - 2).\nAnswer: -193*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + i**2 - 2*i + 2. What is the smallest common multiple of 22 and q(2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -23*k. Let s(w) = -100*w**2 - 2. Calculate v(s(x)).\nAnswer: 2300*x**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/2 + 14352*b**2 + 12229800*b + 2645375936 = 0.\nAnswer: -27832, -436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-26)*y**(-2\/15) assuming y is positive.\nAnswer: y**(-377\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14))\/((2016\/98)\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v. Let w(r) = 14*r**2 - 88*r. Let p(j) = -22*k(j) + 2*w(j). Let o(d) be the third derivative of -d**5\/15 - 26*d**2. What is o(p(b))?\nAnswer: -3136*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Suppose w = 2*q - 4. Suppose -8*m + 3*m + 3*b = -615003, 4*b = -q. What is m rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + t + 0)*(2 - 2 - 36*t**2) as n*t + c*t**3 + d + w*t**2 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 10*b**2 - b - 6. Calculate the remainder when f(9) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284\/1775*(-10)\/(-4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 3, 4, -3, -12 in ascending order.\nAnswer: -12, -3, 3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128687 and 9893?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 4589781?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 12736374 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:02 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86116 divided by 3?\nAnswer: 86116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300110322 - 10?\nAnswer: -300110332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -918.5 times 1764\nAnswer: -1620234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 56*m = 54*m + 20, -5*m + 20 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 25*v**4\/12 + v**3\/3 - v**2 + 20*v. What is the tens digit of s(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 - 47.3. Let l = -45 - h. Which is the fourth smallest value? (a) l (b) -0.8 (c) -2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 10, -1\/34?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - 3*t - 5. Let c be x(5). Solve 5*m = -g + 20, 2*g + 32 + 3 = c*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 2*p - 7. Let c(x) = 2*x - 47. Let i be c(-8). Let n be -3*(-7)\/i - 10\/15. Let j(r) = -r**2 - 1. Calculate n*s(d) + 6*j(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a. Let z be l(1). Let b(t) = -2*t**2 + 5*t. Let s be b(2). Suppose -s*g + 84 = -z*g. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w - 13*w + 48*w - 23*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 765 - 760. Let z(f) be the third derivative of 0 + 13*f**2 + 1\/60*f**s - 17\/6*f**3 + 0*f + 0*f**4. Differentiate z(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 - a + 1. Let s be q(-2). Let j = s + 20. Let t = -12 + j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*c**2 + 4*c**2 + 7*c**2 - 1)*(-7*c + 4 - 4) as b*c**2 + q*c**3 + o + v*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*s = 18, z - 3*z + 5*s - 18 = 0. Which is the second smallest value? (a) 0.1 (b) z (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -229 and -2.23.\nAnswer: 510.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 3*c**2 + 7*c**2)*(-3 + 2 + 36)*(10 - 2 + 0)*(1 + 1 - 4*c + 5*c).\nAnswer: 560*c**3 + 1120*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-45) - (-149187)\/34690. Let i = -297780\/960913 + 86\/277. Let g = j - i. Find the common denominator of 17\/9 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/120 - h**5\/12 + h**4\/3 - 2*h**3 + 22*h**2 + 1. Let k be c(4). Solve k = -3*l + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + d = 0, 2*j + 1 = -2*j - d. Let r = 2 - 0. What is the least common multiple of r and j - 6*(-10)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 17, 2, 9, -21, -2, -4 in decreasing order.\nAnswer: 17, 9, 2, -2, -4, -19, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - s = 30, 0 = -3*n + 2*s + 22 + 3. Let b be (-1)\/2*(-6)\/(-1). Let g(i) = i**2 + 16*i + 1. Let v be g(-16). Put n, v, b in decreasing order.\nAnswer: n, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0 + 1\/12*v**4 + 2\/3*v**3 - v + 3\/2*v**2. Suppose m(y) = 0. Calculate y.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 - -4.6. Let j = 3.6 - m. Let h = j - 1.7. What is the closest to h in 2, 0.4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1932*f**2 + 1279*f**2 + 1538*f**2 + 477*f**2 - 354*f**2 to s*f + m + a*f**2 and give a.\nAnswer: 4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:48 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*f = -440*f - 1254. What are the prime factors of f?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (-29 - 10) + 22\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.17 to zero decimal places.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 188597.025us in days?\nAnswer: 0.0000021828359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, 0, 3 in descending order.\nAnswer: 4, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44907, -89707, -134507, -179307, -224107, -268907?\nAnswer: -313707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221001220121 (base 3) in base 8?\nAnswer: -14011521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000751 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a19 - 10?\nAnswer: -5a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/6 and -398944 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17328721, 17328725, 17328731, 17328739, 17328749, 17328761, 17328775?\n\"Answer: b**2 + b + 17328719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*h = -3*h - 14, -11 = 3*g - 4*h. Suppose 0*b + 6 = -g*b. Is 690\/10*b\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 10 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 5. Let k be p(11). What is the units digit of 13\/k + 3\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*z - 414*z + 81*z + 85*z + 82*z + 81*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3362, 3353, 3332, 3293, 3230?\nAnswer: 3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 3*d - 15 = -7, 5*o = -3*d + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1c4234?\nAnswer: 1c4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.86503 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t + 119 = -6*g - 102*t, 13*t - 4 + 0 = -4*g + 17*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - d - 7 = -21 + 40, -7 = -t + 12*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -222331 or -889325\/4?\nAnswer: -222331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23252 divided by -2\nAnswer: -11626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1822\/42315 at least as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 116451244, 3 in decreasing order.\nAnswer: 116451244, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.3, -0.4, -4, -16\/47, 5\/2, 0?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 658 + -666. Let f(i) = -55*i + 11. What is the tens digit of f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - p + 0 + p + 0 + 0 + 1 - p - 1 + (2 - 3 + 0)*(-4*p - p + 3*p) + (12*p + 5*p - 7*p)*(-3 + 1 + 3) - 3*p + p + 3*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1116*d**3 - 13*d**2*u**2 - 3*d*u**2 - 68*d*u + 139*u**2 - 2 wrt d.\nAnswer: 6696*d - 26*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**3 + t**2 + t + 3. Let l be k(-2). Let s = l - -2. Suppose 0 = -4*b + 97 + s. 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 is -4 take away -0.0043216?\nAnswer: -3.9956784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/369 and 8\/9.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 2 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-5))\/((-2)\/(-30)). Let x = -3 - k. Let n = 19 + -5. Calculate the greatest common factor of n and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11425839\/14 + -52977118\/63. Let g = 24767 + u. What is the common denominator of g and (6\/4 - -2)\/(-8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d\/(d*d\/d**(-1\/12))))*(d\/(d\/(d*d**(-9))))\/d assuming d is positive.\nAnswer: d**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5803.2962 rounded to the nearest 10?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 - p + 2. Let h(t) = -2*t**3 + 3*t**2 - 2*t + 6. Let b(f) = -h(f) + 3*u(f). Let o(v) = 5*v**3 + 4*v. Calculate 4*b(d) + o(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2916)*-5 - sqrt(2916))\/(-2*sqrt(120)\/sqrt(10)*3) + 1)**2.\nAnswer: -27*sqrt(3) + 2191\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110223333 (base 4) in base 15?\nAnswer: 1a190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010100110011100000101 + -10?\nAnswer: -100010010100110011100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(9*i - 13*i + 0*i)*(i + 0*i + 0*i + 3).\nAnswer: 4*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -529697, -529694, -529691, -529688?\n\"Answer: 3*x - 529700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*8\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235275 = -4*v + 3141*v for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 857, 850, 843, 836, 829?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 26*i + 1. Let q(s) = -1. Let h(c) = -27*c - 7. Let a(p) = h(p) - 6*q(p). Let y(f) = 6*a(f) + 7*w(f). What is the derivative of y(d) wrt d?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-8 - -10 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Let q(t) = 5*t**2 + 1739. What is w(q(j))?\nAnswer: 25*j**4 + 17390*j**2 + 3024121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 4*h - 4 - 4*h + 2*h + 3*h**2. Suppose u - 4*a + 6 = 0, 0 = 3*u - u - 5*a + 9. Is q(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2866, 1, -9, -4 in decreasing order.\nAnswer: 1, -4, -9, -2866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -2 + (5 - 1). Let h(x) = -2 + 2*x**2 + 2*x - a + 3. Let b(r) = 2*r**2 + 2*r - 1. Give 6*b(m) - 5*h(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5*(-16 - (-8 + -3)). Let p(w) = w**2 - 2*w - 10. Let a(q) = q**2 - 3*q - 11. Let m(o) = -5*a(o) + 6*p(o). Determine m(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -369*q**2. Let b(h) = -2*h. Calculate z(b(a)).\nAnswer: -1476*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -75*m**3 - m**2 - 2388*m - 2389. Determine q(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 15 - 21. Solve 5*n = -12 + z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 28*k + 142, 14*k + 762*m + 60 = 757*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 76*p - 2235 = -66039. Which is greater: 825 or p?\nAnswer: 825","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -710.\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 320 + -294. What is the first derivative of 93 - 52*z - s*z + 13*z wrt z?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/123641424 and 5\/1474848?\nAnswer: 741848544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -3, 6\/13, -0.4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-69)*1)\/((2\/(-18))\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6975*q**2 - 6071*q**2 + 12126*q**2 - 3*q + 3*q.\nAnswer: -920*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12416357*m**4 + 2*m**3 + m + 4329387 wrt m?\nAnswer: 148996284*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1357\/840 + (-6)\/(-9). Let d = i - -222\/35. Find the common denominator of d and ((-15)\/72*-15)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/30 + 78*l**2. Let k(w) = -w**2 - 34. Calculate a(k(j)).\nAnswer: 2*j**4 + 136*j**2 + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5310420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*l = -1, 3*a - 9 - 4 = 4*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 72 - (5191 - 5098)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/(i**(-2\/3)*i))\/(i\/i**0)**(-26) assuming i is positive.\nAnswer: i**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*m = -2, -59*m - 31 = -2*u - 64*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14755 + 3*l - 29992 + 14891 + 4*l as r*l + d and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, l: 4, g: 3}. What is prob of picking 1 g and 2 q?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -965 + 970. Let t = -57 + 181. Suppose y*l - t = 266. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**4\/2 - b**3 - 75. Suppose 4*s + 3*y + 26 = 2*y, 0 = y - 2. Let g = -5 - s. What is x(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 129*q - 1587. What is the units digit of c(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/33*2 - 14\/(-77). Suppose 4*h - 2 = 5*y, x = 4*y - 8. Solve p - h = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x - 6. Suppose 24 = -7*q - 11. Let t be c(q). Calculate the greatest common divisor of t and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 61*y**2 - 191*y - 71. Give i(64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9994*o**3 - o**2 - 2*o - 2. Let a be g(-1). Let l = -2413 + a. Let h = -1520 - l. Round h to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 28 = -42 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 15. Let k be f(0). Suppose -y - k = -3. Let q = 54 + y. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 159. Suppose -u = 3*k + 4*a, 2*k - a - 3*a = -88. Let h = k + 149. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 7*g**2 + 6*g + 4. Let f be c(6). Suppose -523 - 1361 = -f*q. What are the prime factors of q?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 3. Let g(f) = -f**2 + 13*f - 8. Let l be g(12). What is o(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5704899 divided by -1901633.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 1 - 4*o**2 + 1.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -11. Let y = 9 - z. Suppose -17 = -5*a - y. Solve 0 = a*q - 2 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 16*w + 1 + 4 to the form k*w + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3211369 and 29283?\nAnswer: 9634107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/3)\/(22\/(-42702))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:32 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 397. What is the remainder when x(53) is divided by 92?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151797\/10 - 15161. Let g = c + -141\/5. Find the common denominator of g and -3 - ((-16)\/12)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*l + 2*l**2 + 2*l**2 + 6*l**2 - 8*l**2 as u*l + v + q*l**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (3 + (5 - 8)). Suppose 2*s + 2*k + 3*k - 37 = 0, 4*k - 40 = -2*s. What is the second derivative of u**v - s*u**3 + 10*u**3 + 3*u + 11*u**3 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose m - 12 = -b*m. Suppose 89 = 9*r - 73. Calculate the lowest common multiple of r and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 0, -g + 4*g + 5*z = 144. Let x = g + -18. Let m be (x\/9)\/((-3)\/(-9)). Solve m = -b - b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -436399 or -1309196\/3?\nAnswer: -1309196\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2)\/(-1 + 3). Let r be (u - 2 - -2)\/2. Suppose 11 - 163 = -4*s - 2*l, r = -4*s + 3*l + 152. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l + 15*l = -132. Let p = -8 - -6. Is 81\/l + p\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49847, -49850, -49853, -49856?\n\"Answer: -3*y - 49844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -17 + (7 - -14) + (-18 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239721885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4.5. Let t be (-3)\/(1*(-3)\/5). Which is the nearest to -0.1? (a) 0.3 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02880227 - -0.0288. Round n to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*h - 664, 4*a = 5*h - 9*h + 688. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14628 + 14627.7. Which is the second smallest value? (a) -11 (b) 0 (c) l (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:13 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.154, -3\/5, 41, -4\/7, -5?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a hour in minutes?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/sqrt(300))\/(sqrt(12)*1).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - -10a?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-11))\/(10\/35*-4*(-92)\/368)?\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 18*l - 1332. Let s be d(77). Calculate the greatest common factor of s and 6408.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to 19\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45000000 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1831704*a**3 + 915853*a**3 + 915846*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 1283490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 6:29 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233858808 to the nearest integer?\nAnswer: 15292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 16*g - 14. Let u be j(16). Let o(d) = 13*d**2 + d - 1. Calculate the remainder when u\/(-35) + (-856)\/(-10) is divided by o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4343*v - 4253*v + 180 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -25. Let y be 8\/10 - s\/5. Solve -y*q - 6 = 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10461737)\/(-183634) + (-3)\/(-102)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 10) to base 5.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688149.\nAnswer: 3, 7, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1) + (4 - -9). Let q be -8*((-6)\/(-4))\/(84\/(-112)). Solve q*f + i = 20*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/2931093 and -65\/284.\nAnswer: 11724372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 70*m - 341. What is the lowest common multiple of 11 and o(-64)?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -40492?\nAnswer: 40495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -268.167 rounded to the nearest integer?\nAnswer: -268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117113904\/19 at most 6163889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 97, 143, 193, 247, 305, 367?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*y + 46. Suppose -2*f + 4*t + 4 = y, 4*f + 12 + 8 = t. What is the hundreds digit of ((-495)\/f)\/((-24)\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131696*p = 131710*p + c - 15, -8 = -4*p - 4*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 1, d: 1, g: 6}. What is prob of sequence dga?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 3:44 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (262\/(-4))\/(1\/4). Let p be 12\/42 - o\/14. Suppose -4*s - p = -5*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:12 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3 - 1. Let m be (5\/2)\/((-2)\/4). What is the units digit of (0 - m - -1) + x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + t. Let u be x(0). Suppose u = -5*r - 0*r + 20. What are the prime factors of (r\/6)\/((-1)\/(-15))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 70*m = 66*m - 40, -5*f + m + 18 = 0. Let u(w) be the second derivative of 0 + 30*w + 1\/84*w**4 + 1\/7*w**f - 1\/14*w**3. Let u(a) = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*j + 3*g - 15, -4*j + 3*g + 95 = 0. Suppose p + j = c + 55, -172 = -5*p + 4*c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 750 = 4*q + 1745, -4*j = -3*q - 3336. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 + -239. What is the remainder when 22 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 94, 141, 170, 175?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1382\/7, 0.1, 6, 3?\nAnswer: -1382\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = -5*k + 4*o, 990 = -5*k + 5*o - 7*o. Suppose 0 = -115*d + 30931 + 4949. Let m = d + k. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + -42 + 35\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 44387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(2\/(-16)). Let w = 643 + -2619\/4. Calculate the common denominator of w and (-4 - f) + 94\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 5. Let s = -3 - r. Suppose -17 = -s*o + 2*o. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 2*k**2 - 8*k - 8*k + 12*k to the form y*k**2 + o*k + v and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-1)\/(25\/10). Let y be -3*(0 + (-2)\/6). Suppose -16*w - 88 = -24. Sort y, w, l in descending order.\nAnswer: y, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*c**3*l + c**3 - c**2 - 245*l wrt c.\nAnswer: 72*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 1:26 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 2. Let o(c) = -4*c - 3. Determine 7*m(u) + 3*o(u).\nAnswer: 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1467, 1\/4, 3098?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77512.33 millennia in months?\nAnswer: 930147960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c9 (base 15) to base 16\nAnswer: -bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/550 and 92\/45.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100889705 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -232 - 1?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -69 - 45) + -23?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 5*r + 21. Give v(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2073, 2082, 2079, 2058, 2013, 1938, 1827, 1674?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + -2.68. Let n be (1\/(2 + -4))\/((-6)\/(-24)). Let i = 2.05 + -0.05. What is the biggest value in i, x, -5, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*d - 10*d - 111. Suppose 0 = -10*q + 6*q - 4, -q - d = -m. Solve 0 = -l - 4*w - 23, l = -2*w + 3*w + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + 1510d26?\nAnswer: 1510d0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (24 - 91) + 33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + u = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/24*(-8)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:44 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 3*b**2 - 3*b**2 + ((-1 + 0 + 2)*(-1 + 1 + 2) + 3 - 1 + 3)*(5*b**2 + 0*b**2 - 4*b**2).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 4527886?\nAnswer: -22639430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6962035 to the nearest integer?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*h**2*t**2 + 6*h**2*t - 88*t**5 + 706*t wrt t?\nAnswer: -144*h**2 - 1760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7715*k + 10956 = -7466*k for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.4 - -40.2. Let s = -0.97 - 0.03. What is the nearest to 1 in 1\/5, s, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t. Suppose 3*w = x + 7, w + w - 2 = -2*x. Let b = 2 - x. Let f(i) = b*i + 4*i - 5*i. Calculate h(f(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1488*f**3 + 3*f**2 + 79?\nAnswer: -8928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 86 (c) 0 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 59 + 30)*(-4 + 2 + 3)*(0*w + 3*w - w).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14797109 is divided by 14797106.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -39. Let p = -28 - -33. Suppose -2*q + 4 = 4*j + q, -q - 24 = -p*j. Solve -4*t - g = j*l, t = -0*t + 3*l + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6662190*t**2 - 6662275*t**2 + 13323625*t**2.\nAnswer: -840*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.6. Let b = s + 0.696. What is b rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58904 - 292546. Round s to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 15 = 3*i, -3*i + 12 = -0*p - 4*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0*d**3 + 0*d**6 + 0*d - 9*d**2 + 0*d**4 + 11\/30*d**5 - 1\/7*d**7 + 0. Find the third derivative of a(u) wrt u.\nAnswer: -720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 2*x**2 + 0*x**2 - 2*x - 4*x**2 + 0*x**2 + 2*x**2 + (1 - 1 + x)*(x + 0 + 0).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1 + 0*v + 60*v**3 + 7*v**3 - v. Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 623*v**5\/10 + 9*v**4\/4 + 2*v**3 + 2*v + 1183. Find the third derivative of h(p) wrt p.\nAnswer: 7476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 4*p - 4*p + 3*p + 0*p - 2*p + p - p - p - 2*p - p + 2*p + (3 + 1 - 3)*(0 - 2*p + 0) + 2*p + p - p - 76*p + 325*p + 100*p to z + l*p and give l.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 229897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*g**2 - 53*g**2 - 1697*g + 251*g - 19964*g to the form o*g + d*g**2 + x and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y**(-2\/11)*y)\/y)\/y))\/(y*y**(2\/5)))**(2\/9)*(((y*y*y**0*y*y)\/y)**40)**(-18) assuming y is positive.\nAnswer: y**(-1069114\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*s + 55370 = 0, 0*f = 4*f + 4*s - 110724. What are the prime factors of f?\nAnswer: 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 35*g**4 - 2740*g**3 + 6135*g**2 - 4190*g + 760 = 0.\nAnswer: 2\/7, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 5. Suppose -5*o + 4*v + r = 0, -5 = -o + v - 0*v. Let p be 105\/20 - o\/(-4). Solve 3*a = -0*a - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 0*z - 1\/450*z**5 + 1\/45*z**3 + 0*z**4 + 8 + 4*z**2. Let i(q) be the second derivative of m(q). Factor i(o).\nAnswer: -2*(o - 1)*(o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g - 11*g - 41 + g + 7 - 25. Let v be q(-3). Solve -9*r = -v*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 24.8. Let w = 9.99 + n. Let s = -0.81061 - w. What is s rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58858.9 minus 454.848?\nAnswer: 58404.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 - 181 = -16*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15292657, -15292660, -15292663?\nAnswer: -15292666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from {p: 3, a: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.6 - -223.4. Let j = -35876006.00131 + 35875716. Let a = j + i. What is a rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvsvssvssvssvvvsvs. Give prob of sequence ss.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 350889010 + 0.090472.\nAnswer: 350889010.090472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 45*m**2 - 3. Let k(o) = -27*o - 12*o - 24*o + 92*o - 18*o. Calculate q(k(l)).\nAnswer: 5445*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -379974*4\nAnswer: -1519896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1022 + 158.3.\nAnswer: 1180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-28) + 3276\/294.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4845382 millennia?\nAnswer: 48.45382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a + 65*a + 76294 = 0. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8002 or -24002\/3?\nAnswer: -24002\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30866\/(-18516) + 535\/321. Is 0 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**6\/120 - a**5\/60 - 65*a**2 - 65*a + 2. Let u(t) be the first derivative of z(t). Solve u(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 6*o + 9. Let t be h(7). Suppose j = -4*a + 41, a - 2*j = 15 + t. Let m = 14 - a. Sort -1, -2, m in increasing order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -25, 0*y - 3*o + 7391 = y. Suppose -13*i = -11*i - y. Is 1\/(-3 - i\/(-1228)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155184\/(-1281))\/424*18\/4?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*r + 3292, -2*c + r = -466 - 1189. List the prime factors of c.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2. Let s(j) = 140604*j**2. Determine s(v(k)).\nAnswer: 2249664*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*i = -39864, 99653 = 5*d + 74*i - 71*i. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2188, -2187, -2186?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 22*v**3 - 67*v**2 - 278*v - 29. Let a be r(69). Round a to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 33 = 2*h, -35*h + 6*h = -j - 111 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 520970006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:21 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331363919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -544030 (base 11) to base 3\nAnswer: -1122011021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 81*j**2 - 260*j + 217. Is d(-84) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**2\/3 + 1150*y\/3 + 328\/3.\nAnswer: (y + 164)*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9834, 19306, 28786, 38280, 47794?\n\"Answer: q**3 - 2*q**2 + 9471*q + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*v = -143*v. Sort v, 3, -1, -4.\nAnswer: -4, -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/160)\/((-18)\/(-24))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + 1. Let v(w) = 9*w**3 + 6*w + 6. Let t(f) = l(f) - v(f). Let o be t(-2). Let y = o + -80. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -69*q - 217. Determine y(-8).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -y + 3*u, -5*y + 3288 - 1632 = 3*u + 1624 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(5\/15)*-514. Let o = -340 + l. Let p = -20 + o. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-10)*q)\/q**(-10))\/(q**(1\/6)\/((((q\/(q*q**(-3\/11)*q))\/q)\/q*q)\/q*q)))**(3\/17) assuming q is positive.\nAnswer: q**(-59\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 - 5*n**2 + 5. Let g be u(5). Suppose -4*y = -j + 157 + 177, -3*j = -3*y - g. Find the common denominator of 17 - 18 - y\/24*2 and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2450 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 151 + 382 = 0. Calculate the remainder when 67 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q*q\/(q**(-9)*q))\/q)\/q*q)*q**(-6\/13))**(1\/27)*q**3\/q**1*(q*q*q**6)\/q**(-7) assuming q is positive.\nAnswer: q**(5857\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/80 and -1\/82280.\nAnswer: 164560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*i*t**3 + 9*h**2*i*t**2 - 6*h**2*t**3 - 10*h*i*t + h*t**3 + 7*i*t**2 wrt h?\nAnswer: 2*i*t**3 + 18*i*t**2 - 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(d**2 + 0*d + 0*d + (-1 - d + 1)*(-2*d - 3*d + 4*d) + 2*d**2 + 2*d - 2*d + 0*d**2 - 7*d**2 - d**2) + (-4*d**2 - 3*d**2 + 6*d**2)*(2 - 4 - 1).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + d = 0, 5*o - 3*d + 9303 = 9279 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4 + 39*g**3 - 1620*g**2 + 16384*g - 51456 = 0.\nAnswer: -67, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouuu when four letters picked without replacement from oouuuuuouuuu?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 11, 30, 65, 122, 207, 326?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149536316.\nAnswer: 2, 37384079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 201796233 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:44 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15 + (38 - 15) + (0 - -72098).\nAnswer: 2, 31, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1408 divided by -8\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 47531094?\nAnswer: 47531094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -102022 (base 3) to base 8\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29149929 is divided by 31344.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j**2. Let z be (-156)\/(-38) - (84\/133)\/6. Let r(x) = -8*x - 2 + 2 - z*x. What is r(y(b))?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*q + 13 + 16 - 31)*(67*q**3 + 72*q**4 - 67*q**3).\nAnswer: -6336*q**5 - 144*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**6\/6 - 6*i**5\/5 - 2*i**3\/3 - 16*i + 45. What is the third derivative of f(q) wrt q?\nAnswer: 60*q**2 - 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 56 + 3 + (8 - (0 - 2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/1044)\/((-2)\/12*-9)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.03, -3, 52?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Let j = -0.01 + -0.59. Let d = -0.7 - j. Which is greater: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*t*y - n**3*t - 24*n**3*y + n**2*t + 2*n*t*y - 16*n*y wrt n?\nAnswer: 12*t*y - 6*t - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/3 - 2*s**2 - 143*s - 2. Let n(c) = 308*c. What is n(d(q))?\nAnswer: 2464*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1270*s**2 + 1274*s**2 - 2548*s**2. Let q(o) = -26*o**2 + 7*o - 7. Let b(f) = -9*f**2 + 2*f - 2. Let u(t) = -7*b(t) + 2*q(t). Give r(u(c)).\nAnswer: -484*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuvtv. Give prob of sequence uvi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 = -q + 26, o - q = 0. Suppose 5*c + o*a - 6 - 21 = 0, -c - 2*a + 11 = 0. What is the third derivative of 2*u**c - 3 + 3 - 5*u**2 - 2*u**2 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 203056, 811714, 1825972, 3245830, 5071288?\n\"Answer: 202800*s**2 + 258*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27.09934 years?\nAnswer: 0.2709934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Let x(k) = k**3 - 4*k**2 - 2*k - 1. Calculate the lowest common multiple of 20 and x(c).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13595, 27404, 41227, 55070, 68939?\n\"Answer: l**3 + l**2 + 13799*l - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -60\/167, -22\/321 in decreasing order.\nAnswer: -22\/321, -1\/3, -60\/167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.30671l in millilitres?\nAnswer: 4306.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/897 and 119\/4749420.\nAnswer: 109236660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -7*(-4)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159634779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 12)*1 + -33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -51. Let b(f) = -7*f**3 + 5*f + 4. Let q(h) = 3*h**3 - 2*h - 2. Determine s*q(o) + 2*b(o).\nAnswer: o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**4\/12 - 5*b**3\/3 - 5*b**2 + 2*b - 1. Let v(j) be the first derivative of a(j). What is the units digit of v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 6:03 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 19*u - 16. Give k(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 52*i**2 + 224*i - 320.\nAnswer: 4*(i - 5)*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**2*z**2 + b**2*z - 19*b*z**2 - 127084*b*z + 7506*z**2 + 2*z wrt z?\nAnswer: -10*b**2 - 38*b + 15012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.422088ml?\nAnswer: 0.007422088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))**(-18)\/(z*z**(2\/5))**49)\/(z**(-2\/3)\/((z\/z**(3\/7))\/z))**(-50) assuming z is positive.\nAnswer: z**(-12233\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4558.361ml in litres?\nAnswer: 4.558361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9818*t = 9973*t - 1504116 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 less than -0.3?\nAnswer: -351.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = -20, 3*d - 35 = 5*v. Suppose r - 23 = -r + 5*x, -3*x - 9 = 0. Sort d, -2, r in ascending order.\nAnswer: -2, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*o - 40*o + 97*o - 5192928 = 0. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -8, -13, -14, -5, 20, 67, 142?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6222121 <= -6222112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 18*r. Let z(x) be the third derivative of 1\/30*x**5 + r + 0*x**3 + 0*x**4 - 1\/60*x**6 - 3*x**2 + 0*x. Find the third derivative of z(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-38)\/(-1))\/((-28)\/(-196)). Let z = y + -922. What is the hundreds digit of 27\/(-135) + z\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-8)\/3)\/8*8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7177 rounded to 2 dps?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:42 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16184 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -1. What is the derivative of 4 - y**3 + 8*y - d*y wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156498885?\nAnswer: 3, 5, 491, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 2 - 153)*(15 + (-208)\/13). Solve 0 = -d*t + 165*t + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 113. Let w(o) = 27*o - 1. Let q be w(1). Let i = q + -18. What is the least common multiple of u and i?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 28*j**2 - 7*j - 8. What is the least common multiple of a(-1) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 8*q**2 + 5*q - 138. Let b(g) = g - 3. Let m(u) = -3*u + 11. Let y(j) = -7*b(j) - 2*m(j). Give -s(h) - 5*y(h).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24)\/(4\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-2*r + 3*r - 2*r)*(-8 - 2 + 2).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3075 is divided by 181.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -106, -230, -378, -562, -794, -1086, -1450, -1898?\n\"Answer: -2*d**3 - 110*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6720713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 1. Let f be (-2 + -2)\/4 + -3. Let z = -7 - f. Give o(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*h - h. Suppose -h*d - 437 = 3*d + 2*u, -3*d - 5*u = 247. Let j = d + 92. What is the remainder when 7 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + -3*(sqrt(91) + sqrt(91)*2))*-2)\/(sqrt(196)\/sqrt(7) - (sqrt(7) + (sqrt(7) + sqrt(252)*1 - sqrt(7)))).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 790242840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -126836030, -126836032, -126836034, -126836036, -126836038?\n\"Answer: -2*n - 126836028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214*w**4 - 386*w**4 + 867*w**4 + 1600*w**4 + 1414*w**4 + 3632*w wrt w?\nAnswer: 44508*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, -1\/5, 0.4, 52, 5, 0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1737*t = 1731*t + 54 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 17 - (-1 + 7) - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1565904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(d + 2*d - d)*(0*d**3 - 2*d**3 + 4*d**3).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -581, -569, -551, -527, -497, -461, -419?\n\"Answer: 3*v**2 + 3*v - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28816585 divided by 161?\nAnswer: -178985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -2\/9 (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 3*r. Let k be t(-2). Let x = k + 4. Which is the second biggest value? (a) 1 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -a - h, -5*a = 2*h - 235 - 318. Let w = -44 + a. Let d = 74 - w. Solve 2*b - 5 = -d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/12 + 8*o**3\/3 + 21*o**2\/2 + 92*o. What is the lowest common multiple of x(14) and 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 3*t**5 - t**5 + (-2*t**4 + t**4 + 5*t**4)*(0 + 2 - 4)*(2*t + 2 - 2).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19*o**2 - 23*o - 2. Let l(i) = -13*i**2 - 15*i - 1. Let h(u) = -5*a(u) + 7*l(u). Let n be h(7). Suppose n = -5*k + 909. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**3 + 10*a**3 - 215 - 224 + 439 + 19*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047.69949 rounded to one dp?\nAnswer: 2047.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2)*(-4)\/(-3). Let p(l) = 674*l + 4. Let c be p(1). Suppose -o*m + 150 = -c. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335.36917335 - -335.37. What is q rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2560 = -5*r + 42970. Suppose 2*z + 2527 = 2*d - 707, 5*d - 6*z - r = 0. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 - -0.59. Let n = g + -0.06. Suppose 0 = -5*a - c + 24, -2*a + 5*c - 2*c = 4. Sort n, -0.1, 1\/3, a in decreasing order.\nAnswer: a, 1\/3, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 1 - 1)*((5 + 3*z - 5)*(-2*z**2 - 5*z**2 + 5*z**2) - 370*z**3 - 50928*z**2 + 50928*z**2) to o*z**3 + q*z**2 + j + n*z**4 + d*z and give n.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-8 - (-1 + -22 - ((-61 - -31) + 37))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 12 = 25*o. Let z be (4\/o)\/(172\/(-30)). Let n = 497 - 498. Is n at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 5*sqrt(1331)*-2 + (((sqrt(440) - ((5*sqrt(440) - sqrt(440)) + sqrt(440)))\/sqrt(8))\/sqrt(5))**2.\nAnswer: -99*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m - m + 0*m)*(-1 - 1 + 0) + 34 - 194767*m + 389426*m - 194721*m)*(-2 + 0 + 4).\nAnswer: -116*m + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-39 + 13 - 11 - (2 - (0 - -1))) + 7\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -5*m + 3*o + 30, -23 = 2*m - 5*o. Let l be (-12)\/15 - (-2)\/(-10). Let t be l\/3 - 4\/96. Which is the biggest value? (a) -4 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - h - 2. Let v(c) = 8*c**2 + 5*c + 10. Let n(l) = 15*k(l) + 3*v(l). Let x(y) = 19*y. Give x(n(f)).\nAnswer: 171*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 448 = 5*t. Let h = 111 + t. What is the nearest to -1\/3 in h, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 12*m + 13. Let q be b(1). Let t = 17 + -24. Let i = 5 + t. Sort i, 0, q.\nAnswer: i, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -701 or -699?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -32.78\nAnswer: -26.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 49, 124, 229?\n\"Answer: 15*h**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let g(u) = 11*u - 6. Let h(j) = g(j) - 3*n(j). Differentiate h(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -0.017 (d) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 1636. Let b(i) = -i + 545. Determine 8*b(g) + 3*c(g).\nAnswer: -2*g - 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001011011111 + 110010001110?\nAnswer: 11111101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -3\/5 (c) -18 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 149*t**3 - 67598*t**2 + 547680*t - 1099872.\nAnswer: (t - 342)*(t - 4)**2*(t + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131144 and 129454?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 9*x**2 - 3*x + 1. What is the units digit of t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:53 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56112 less than or equal to 56113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + 6\/10 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1800 and ((-4)\/(672\/(-62)))\/(119\/(-49) - -11).\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.25 - 1.45. Let o = w + -31. Let k = 6.94 + -7. Which is the third smallest value? (a) k (b) -2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 190\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 13. Suppose -138*w = -139*w + t. Suppose w*a - 8*a + 415 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 q, and 1 z when three letters picked without replacement from {m: 4, z: 5, t: 1, c: 4, q: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.28 - 0.02. Let w = -31 + -69. Let m = w - -95. What is the third biggest value in x, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 232. What is the remainder when 199 is divided by -1*(j\/4 + 5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*i + 10*i - 18*i - 50*i**4 + 114 + 414*i**4 with respect to i.\nAnswer: 1456*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 191, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -3\/2*h**2 + 0*h - 4 + 1\/10*h**5 - 1\/120*h**6 - 5\/24*h**4 + 0*h**3. Let n(r) be the second derivative of f(r). What is n(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = 5. Let z = x - -7. Let a be 1\/2 + (-62)\/(-4). Solve 4*v + j + a = 0, -12 = 3*v - z*j + 3*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37901.9999950118 - 37902. Round i to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z + 3. Let t(c) = 5*c + 2. Let u(j) = 3*m(j) - 11*t(j). Suppose h = 6*h. Determine u(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 6479.\nAnswer: 6479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 6, 0*i + 4*i - 21 = -j. Suppose -2*l = -0 - 10. Find the third derivative of -107 + 107 + 4*c**2 - i*c**l wrt c.\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841279?\nAnswer: 17, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 13*i**2 + 14*i + 63. Let x(a) = -7*a**3 + 26*a**2 - 27*a - 126. Let n(y) = -5*g(y) - 3*x(y). List the prime factors of n(13).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1753\nAnswer: 5\/1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392570561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400230 (base 5) to base 10.\nAnswer: -12565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5760\/1853 or -4?\nAnswer: -5760\/1853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -72, -83, -106, -147, -212?\n\"Answer: -y**3 - 4*y - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(10*i**2 + 14*i**2 + 0*i**2)*(-85 - 43 - 21).\nAnswer: 7152*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010357 rounded to seven dps?\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14948 - 24948. Round i to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(-3\/8)\/j)\/j*j**7*j\/j**5*j*j\/j**6 assuming j is positive.\nAnswer: j**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 26 + 14. What is the third smallest value in -1\/11, r, 5, -24?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16355233819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**4\/4 + 11*b**3\/3 + 15*b**2\/2 - 6*b - 26. Let u(h) = -2*h**2 - 3*h + 1. Determine 2*n(m) + 11*u(m).\nAnswer: -2*m**3 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 + 9*r**2\/2 - 10*r + 16. What is u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20*l*(l\/(l**(6\/19)*l))\/l*l*l)\/(l**16*(l**15\/l)\/l) assuming l is positive.\nAnswer: l**(-139\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*(9 - 17). Let h be (-2)\/((-4)\/q - 3\/9). Suppose 0 = -m - b, h*m - 3*b - 10 = 3*m. Solve m*z = -5*n + 30, 0 = -4*n - n + 5*z - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7359 * 0.05.\nAnswer: 0.086795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23903 - 455?\nAnswer: 23448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66\/7 - 4*i**3 - 2\/7*i**4 + 4*i - 64\/7*i**2 = 0.\nAnswer: -11, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665437791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243425 and 129815?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 0 = -z + 4, -3*z = -q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -32 - 227. Suppose 10*u = 23 + w. Calculate the remainder when 46 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2063 + -2043. Solve v*n - 25*n = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8234, -16612, -25174, -33926, -42874, -52024, -61382?\n\"Answer: -a**3 - 86*a**2 - 8113*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3054 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5315726 - 0.2\nAnswer: -0.7315726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/1521)\/((-134)\/(-12)). Let r = -19741047346761811\/1029977179650978 + -49\/15160546081. Let y = r + v. Find the common denominator of -47\/4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45876 divided by 12.\nAnswer: -3823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = -20. Let y = g + 2. Let a = y - -9. 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 -182.04578 rounded to 2 decimal places?\nAnswer: -182.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -58. Suppose 3*u - 175 = -2*u. Let x be (-85)\/u + 0 + r. Put -5, x, -0.4 in increasing order.\nAnswer: -5, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**11*a*a**(1\/28))**(-42) assuming a is positive.\nAnswer: a**(-1095\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10950421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 - -147. Let d = -4.8 + 5. Let m = 0 - d. Put 4, x, m in descending order.\nAnswer: 4, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -100116?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 2507.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 42*k - 2. What is the smallest common multiple of 65 and f(1)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010002210201 (base 3) in base 13?\nAnswer: 74237b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.1, 0.3, -5\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80? (a) -5 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*h + 346*h = -4*w + 755659, 0 = 2*h - 5*w - 503765. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-2 - 2) - 1*-7. Solve -5*f - o = 21, 0*o = -4*f - r*o - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272817149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s = -19*s - 1453 - 1157 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*u - 4 + 9 = 0, 4*a + 10 = 2*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 3*f**2 - f**2)*(f - 5*f + 2*f)*(-4 + 2*f + 4)*(-2*f + 0*f + 3*f + (2*f - 2*f - f)*(-2 + 0 + 0) + 3*f + 0*f - 2*f + 0*f + 4*f - 3*f).\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 764, 1549, 2334?\n\"Answer: 785*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l**2 - 21*l + 49. Is a(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123024505841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72585974.\nAnswer: 2, 61, 227, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*q - 138, 3*v = q - 0*q - 36. Let t = -676\/15 + q. Let i be -3 - (-4)\/(-10)*15\/(-3). Is t bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (354\/(-74635))\/((-462)\/(-1694)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*4 + ((-1)\/5 - -5). What is the third biggest value in 1, m, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s + 4. Let x be (1 + -3)\/(-2)*6. Let j be 0\/(1\/(3\/x)). Determine v(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686196.6 rounded to the nearest 10000?\nAnswer: 3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = u + 5, -7*u = -3*u - 3*m + 9. Let d = 5 + u. Factor 8*s + 2 + 2*s**d + 0*s**2 + 1 + 5.\nAnswer: 2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 103*b - 156. Solve u - 508 + 535 = b*q, 2*q - 4*u = -4 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -67, -114, -177, -262, -375?\n\"Answer: -g**3 + g**2 - 33*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 46548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-116)\/(-20) - 4\/(-20) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 3)*(3*z + 2*z - 9*z).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -2*s + 72. Let a = 227 - s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-32))\/(8\/((-3456)\/405))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24319117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 835221?\nAnswer: -417610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wowwwwowwwowwowwww. Give prob of sequence ow.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -14587.9 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -63*h**2 + 901*h - 3216. What is k(9)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*x - 2*x**3 - 2*x**3 - 45 + 5*x**3 + 30*x.\nAnswer: x**3 - 81*x - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(-39)*(g\/g**(-1))**13)**(-1\/8) assuming g is positive.\nAnswer: g**(-91\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(2931\/488 + -6). Let w = 567 + r. Suppose 2*b - 134 = p + p, -p + w = 5*b. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1600) - (sqrt(1600) - -1*sqrt(1600))*3))\/(((sqrt(80)*1)\/sqrt(2))\/(sqrt(5) + (sqrt(80) + sqrt(5))*-1)).\nAnswer: -400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - l. Let w be j(3). Suppose -h = 2*h - w. Calculate the remainder when 50 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 + 14*n - 17. Let y be d(5). Find the second derivative of -6*r + 31*r**3 - 33*r**3 - 25*r**y - 47*r**3 - 46*r**3 wrt r.\nAnswer: -720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:21 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -347.3696.\nAnswer: 1042.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (72\/(-60))\/((-3)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 18 = -v - 16 + 38, -v + 23*n - 37*n = -40 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -3, 19, 61, 129, 229?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188779273 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 2 - 2)*(0 + 3 - 4 + (2 + 1 - 6)*(-2 + 5 - 2)).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-four fifths of a meter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of ((-17)\/2*(-2)\/34)\/((-2)\/(-82368))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/15 - (-21)\/(-7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - 2*t**3 + t)*(-t - 2*t + 0*t) + 4520*t - 9039*t - t**4 - 30*t**2 + 4516*t in the form d*t**4 + g + o*t**2 + s*t + u*t**3 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 0*k + 10*k)*(3*k + 4*k - 5*k)*(-7 + 7 - 2) as u*k + b*k**2 + r and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 125494567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116021888?\nAnswer: 2, 906421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, y: 1, q: 5}. What is prob of picking 1 y and 1 q?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/5)\/((-208)\/320))\/(-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Suppose 2*a - 3*t + 7*t - 28 = 0, -k*a - 5*t + 70 = 0. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 4. Determine i(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 958775.6 kilograms in milligrams?\nAnswer: 958775600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27240\/14301 - (-8)\/(-6). What is the second smallest value in -18, k, -1, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**2 - 842*i - 181. Determine o(94).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5 - 20*f**4 + 52*f**3 - 28*f**2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b - 225 = 13*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3823264 to 3 decimal places.\nAnswer: 1.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (-4 - -32) + -10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 3*f**2 - 6*f + 5. List the prime factors of x(3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*-3 - sqrt(297))\/sqrt(11) + -4 - (sqrt(27) - -1*sqrt(3267) - (5 + sqrt(81)\/sqrt(3) + sqrt(27)))**2)*-5*4.\nAnswer: -5760*sqrt(3) + 54580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3683 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a factor of 626456805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.07233*-12475\nAnswer: 902.31675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401 - 695. Let w = -289 - b. Let 9\/2*r**2 + 1\/4*r**4 + w*r + 2 + 7\/4*r**3 = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74089 is divided by 1175?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/27, -0.17, 1, -0.1?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(115 - 23))\/((-10)\/(-5))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1847258 and 24?\nAnswer: 22167096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-81)\/270).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9215 and -0.498.\nAnswer: 9214.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 5*b - 5. Let r be q(-4). Let w = -2 - r. Is 22 a factor of w*(-75 + 2) - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*s**3 - 56*j**3*z + 3*j**2*s**2*z + 4*j*s**2*z - 13*j*s*z + 2*s**3*z wrt j.\nAnswer: -12*s**3 - 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (6 + 5 + -4)) + -3 - -14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(6\/14244) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:28 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5365, -5388, -5421, -5464, -5517, -5580, -5653?\n\"Answer: -5*u**2 - 8*u - 5352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2)*w)**29)**(-9)*(w*w*w**(1\/5)*w**6)\/(w*w**0)**43 assuming w is positive.\nAnswer: w**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2313041051 - 34?\nAnswer: -2313041125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = -35. Let g = -5 + p. Differentiate -1 + 0 - 4*r**4 - 7*r**2 + 7*r**g with respect to r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*v - 131952 + 131981 = 0, -20 = 2*z + 2*v for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-10 - 8) + 0 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035066 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6970058.\nAnswer: 2, 23, 151523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295890*l**3 + 604254*l wrt l.\nAnswer: -1775340*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3871*v**6 + 1482*v**2 wrt v?\nAnswer: 464520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2691*i**2 - 2700*i**2 + 5387*i**2 + 2 + 19*i**3. Let q(x) = -9*x**3 + 2*x**2 - 1. Calculate 13*q(y) + 6*u(y).\nAnswer: -3*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*1 + (-15 - -21). Let u = 27.8 + -28. What is the closest to v in 3, u, -5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54571, -54486, -54335, -54112, -53811, -53426, -52951?\n\"Answer: f**3 + 27*f**2 - 3*f - 54596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -14. Let o(b) = -b**2 - 11*b - 5. Let m be o(-10). Suppose -m = -5*r + 10. Calculate the smallest common multiple of z and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31108 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 558925151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 12*r + 44. Let t be j(8). Suppose -2*m - t = -w + 179, 251 = w - 4*m. Let u = w + -182. List the prime factors of u.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (10 + -6 + -29).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 18}. What is prob of picking 3 e and 1 b?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07458 + 3.07458. Let s be (-2)\/(-2) + (4 - 4). Let k = 1 - -3. Put s, 2\/5, k, u in decreasing order.\nAnswer: k, u, s, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -323 - -320. Let w be 52\/24 + (-6)\/(-108)*t. Suppose 20 = 4*u + u. What is the second smallest value in w, u, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 801?\nAnswer: 7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 times -54787?\nAnswer: -5643061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151082 is divided by 96.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 10650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 y when four letters picked without replacement from pccpcgccwggwyycgc.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -105*z + 84. Let a(b) be the first derivative of b**2\/2 - b + 1523. Give -84*a(d) - h(d).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*h**2 + 30*h + 32*h + 32*h - 94*h.\nAnswer: 459*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/18 + 10*12\/30. Let z = -0.138 + 0.638. Sort 2\/3, z, h.\nAnswer: h, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose -w + 4*n = 19, 3*w + a*n - n = -83. Let l = 30 + w. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 728720, 1457459, 2186210, 2914979, 3643772, 4372595, 5101454?\nAnswer: 5830355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50383212.\nAnswer: 2, 3, 11, 19, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 584*p\/3 - 42632\/3.\nAnswer: -2*(p - 146)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**9\/30240 + g**6\/360 + g**5\/20 - 2*g**2. Let d(u) be the third derivative of t(u). Differentiate d(b) with respect to b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404650, 404648, 404646, 404644, 404642?\nAnswer: 404640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -57*t**2 - 26*t - 27. Determine g(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1019*u**4\/12 - 163*u**3\/3 - 91*u + 8. Find the second derivative of r(i) wrt i.\nAnswer: 2038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48158 is divided by 1417?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3810000 = 6*r. What is r rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -0.09 (c) 3\/392 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 189*j**2 + 737*j - 353. Calculate d(-185).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 504*y.\nAnswer: -4*y*(y + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 5*z + 3. Let h = 1 + 2. Let i be p(h). Suppose -l = l - i. Which is the third smallest value? (a) -2 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = 2*j, 6*w - 2*w = j - 10. What is the third derivative of -4*d**j + 5*d**5 + 51*d**3 - 51*d**3 wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -965, -964, -963?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + u - 2*u)*(u - u - 2*u**2) + 3*u**3 - 2*u**3 - 2*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from yyggggyggy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 w when three letters picked without replacement from yllygwypwylglll?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381188647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9740 (base 11) to base 7\nAnswer: -52344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*z. Suppose 4 = z*p - 0*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197585603.\nAnswer: 3, 3461, 38447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -251*d**2 + 49*d**2 + 131*d**2 + (-5*d + 9 - 9)*(-d + 3*d - 3*d).\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*d + 18 + 10, 2*d = a + 12. What is the remainder when 3\/2*(9 + 1) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmmvvmmvmmvv. Give prob of sequence mmv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*c*h**2 - 7*b**2*c + 6*b**2*h**3 - 13*b*c*h**3 - 2*b*c + 3*c*h wrt b.\nAnswer: 4*c*h**2 - 14*c + 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -12*g + 5. Let y(h) = -17*h + 9. Let o(f) = 16*f - 8. Let i(c) = -5*o(c) - 4*y(c). Let z(r) = -6*i(r) + 5*n(r). Determine z(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttoz when four letters picked without replacement from {o: 1, z: 1, t: 2, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 4*n - n)*(2*n**2 + 3*n**2 - 18*n**2).\nAnswer: -65*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 39. Let d = 16.6 + w. Let t = d + -0.3. Round t to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/15 - 2\/5. Suppose -18 + 7 = -5*l + 3*b, v*l = 4*b - 4. Suppose -3*m - 3*p = -51, 3*p = -3*m + l*p + 31. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(18\/4))\/(20\/90). Solve 3*d - 2 = 4*x + z, 3*d + 5 = -x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/2))**(-7) assuming g is positive.\nAnswer: g**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7732*m + 1929*m + 1946*m + 1911*m + 1944*m + 5 - 5.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*a + 3*m, -31*a + 33*a + 4*m + 8 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 2. Let t = 9 - 6.9. Let u = -2.5 + t. Put g, u, 2\/5 in decreasing order.\nAnswer: 2\/5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 - 25*p**2 + 9. Let f(y) = y**3 - 6*y**2 + 2. Let g(b) = 9*f(b) - 2*x(b). Let m be g(4). Solve m = 2*u - 5*i, -u + 5 = -7*i + 2*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1034 + 9305\/9. What is the nearest to -3 in b, 4, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1335 - 1335 - 246*m + 3*m + 9*m + 5*m + (3*m - m - 3*m)*(0 - 2 + 3) - 2*m + m + 3*m to i + n*m and give n.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 4287?\nAnswer: 4290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -239352*t**2 - 6 + 1 + 5*t + 239375*t**2. Let w(u) = -126*u**2 - 28*u + 28. What is 28*a(b) + 5*w(b)?\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 2 + 27*j + 34*j.\nAnswer: 70*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -77, -22 in decreasing order.\nAnswer: 8, -22, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 141 = 2*m. Suppose z + 5 = -3*i + 13, -5*z - 12 = 2*i. What is the common denominator of z\/(-14) + 1402\/140 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 61*t**2 + t**3 + 61*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4550224 and -0.18.\nAnswer: 0.081904032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -516, -2157, -4936, -8859, -13932, -20161, -27552, -36111?\n\"Answer: -m**3 - 563*m**2 + 55*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = x - 13033, 25*n = 24*n + 3*x + 2613. Calculate the least common multiple of n and 11.\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g - 15*g + 1408 = 64*g + 58*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/3 + -1)*12. Let s = c - 52. Let v(b) = -2*b**3 - 3*b**2 + 5*b + 2. Let i be v(-3). Solve 4*n - 3*n = -4*l - i, -5*l - s*n = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*(-80)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*l**2)*(-4*l + l + l) - 3 + 3 - 3*l**3 - 195*l**3 + 3*l + 223*l**3 - 5*l + 1.\nAnswer: 29*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139276 + -37186744\/267. Calculate the common denominator of -19\/60 and d.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1 + 11 = 0. Let n be 6\/z - (-2 - 2). Let f(d) = 54*d**2 + 1. Is f(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:55 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84064*n**5 - 14*n - 932 wrt n?\nAnswer: -1681280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y - 52062 - 12*y + 52062.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 8. Let o be i(-5). Let j(z) = -z**2 + 5. Let v be j(0). Let q = v - o. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, -3\/7 in ascending order.\nAnswer: -3\/7, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29036521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 8, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 345547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/239052 and 53\/2571620.\nAnswer: 84863460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 5, 3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 5*n = 0. Let o = 2 - 2. Suppose 10 = 2*z - o. Put 1, n, z in descending order.\nAnswer: z, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11223 (base 4) to base 9\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(2*sqrt(9)) + (sqrt(35)\/sqrt(80) - sqrt(7)))**2 + (sqrt(336)*5)\/(sqrt(300)*1 - sqrt(3)).\nAnswer: 7\/16 + 20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 6}. Give prob of sequence bll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 66*w + 1784. Give f(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/3*16\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2854659*d = 2854750*d - 1820 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(20\/3)*l)\/(l**10*l) assuming l is positive.\nAnswer: l**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -856811*x**3 - 2*x**2 + 13*x - 286 wrt x.\nAnswer: -5140866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 2*d + 3. Let g = 4 + -2. Let w be x(g). Suppose -w*r + 30 = -3*f, -3*r = -4*f - 0 - 34. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 33\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**4 - 9*y**3 - 11*y**2 - 3. Let g(n) = 4*n**4 - 17*n**3 - 21*n**2 - 7. Let t be (-1*21\/(-6))\/(6\/(-12)). Let s(b) = t*a(b) + 3*g(b). Factor s(c).\nAnswer: -2*c**2*(c - 7)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/102)\/(7\/126)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)\/(w**12\/w))**(-14) assuming w is positive.\nAnswer: w**(469\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 21*g - 7*g - 27*g in the form k + w*g and give w.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*w**4 - 25079*w**2 + 25079*w**2 + (0*w - 3*w + 5*w)*(-2*w**3 - w**3 + 5*w**3) in the form z*w**4 + y*w + d*w**2 + t + v*w**3 and give z.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-23)\/((-460)\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352897, -352827, -352757, -352687?\nAnswer: -352617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808.8 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u + 10*u - 13*u in the form y + h*u and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -588899*x + 480701?\nAnswer: -588899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2927*-0.138\nAnswer: -403.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 155?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10171859, -10171813, -10171771, -10171733, -10171699, -10171669, -10171643?\n\"Answer: -2*x**2 + 52*x - 10171909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 955800.\nAnswer: 955800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*y + 133*y = -36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 163 in -2, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 8*i + 2. Let x be c(4). Solve 0 = -v + 3 - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 times 118\nAnswer: 10620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6139, -3, 2.\nAnswer: -3, 2, 6139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49707967 to the nearest integer?\nAnswer: 7050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6) - 400\/15. Let q = v - -47. Let h = q + 7. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let a(n) be the first derivative of n**2 - 2*n - 48. What is a(q) - 3*v(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -633 + 2*k**2 + 644 + k**3 + 3*k + 0*k**2 as b*k**2 + d*k + n*k**3 + f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 591 + 571. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651, 1135, 1491, 1719, 1819?\nAnswer: 1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 182 = 2*y, -53 + 532 = 5*n - y. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/56*-7 - -10. Sort 4, -4, t, -46, -3 in decreasing order.\nAnswer: 4, -3, -4, t, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28659 + 33061. What is the remainder when m is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 - -101011100?\nAnswer: 101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1958 - -3?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 - 61 = -2*t. Let g = t + -16. Let m be 1 + g - (-9 + 13). What is the greatest common divisor of 33 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6*i + 4 = 0. Let j = i - 1. Let x be -3 + (23 + j)\/2. Solve -x = 3*c - 8*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5310, -10429, -15546, -20661, -25774, -30885, -35994?\n\"Answer: r**2 - 5122*r - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13681 + 246325\/18. Find the common denominator of t and (-164)\/(-30)*72\/(-64).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 63. Let a be i(0). Suppose 4*m - m = a. Solve -v = -4*j + 5*j, -2*j = -5*v + m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**5\/5 - 23*q**4\/6 + 8*q**3\/3 - 5*q**2 + 28. Let w(i) be the second derivative of p(i). Solve w(y) = 0.\nAnswer: -4, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/4 + l**3\/4 - l**2\/4 - l\/4 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -37*h + 231. Let w = 5 + 0. Solve -w*j = -h - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r - 36. Suppose q + 36 = k - r, -5 = q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (7 - 6) + (214 - 112)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*s**2*x**3*z + 3*s**2*x*z + s**2 + 155*s*x**3*z - s*x**2*z + z wrt s?\nAnswer: 138*x**3*z + 6*x*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -24\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibb. Give prob of sequence bb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1209*f**3 - 3353*f**2?\nAnswer: -7254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2302*y**2 + 2728*y.\nAnswer: 4604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccxcxx. What is prob of picking 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:56 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3726?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m + 26*m = -1092 + 4370 + 2884 for m.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-21))\/(264\/154)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 62129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvnvnvgvvnnnvnnvnn. What is prob of picking 1 g, 1 n, and 2 v?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.006 in -0.1, -1\/2, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -18. Suppose 2*o - 36 = -2*a, 3*a = d*a + 5*o - 76. Suppose -u + 5 + 13 = -4*j, 3*j = -2*u + a. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 1:23 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyusasyyylsyu. What is prob of picking 1 l and 2 s?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 6. Let b(f) = 12*f + 2. Calculate the remainder when b(5) is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + q + 13 = 0, o - 4*q = 2 + 15. Suppose -5*p - 3*f - 19 = 0, -p - 3*f - 4 = -o. What is the units digit of (p\/1)\/((-1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8482.523um?\nAnswer: 0.008482523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14655, 0, -3, -12, -1, -8, -4 in increasing order.\nAnswer: -14655, -12, -8, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-1)\/(-6)*30\/(-5). Solve t - 5*b - 10 = 0, 4*t - 2*t + l*b = -16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -5 + 6 - 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -78. Let d be 8\/180*u*(-15)\/(-10). Which is the biggest value? (a) d (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17 + 15 - (2 - 2103\/504) and -59\/108.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 658 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4028051 (b) 2 (c) -1\/5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.824249g to tonnes.\nAnswer: 0.000001824249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 1. Let c(q) = 44*q - 5. Calculate -3*c(j) - 15*l(j).\nAnswer: -102*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -3, 0.5, -10576?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**5\/13 + 3518*b**4\/13 + 198130*b**3\/13 + 527110*b**2\/13 + 473862*b\/13 + 141372\/13 = 0.\nAnswer: -374, -63, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h - 11. Suppose -r = m - 4, 4*r + 0*m = 5*m + 16. Let t(g) = 3*g + 5. Give r*l(v) + 9*t(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 53*v - 3 + 55 = 0. Which is the smallest value? (a) -0.2 (b) v (c) 6\/7 (d) 1\/7 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 144 = 157. Suppose 129 = 9*h - 6*h. What is the greatest common factor of j and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-287))\/((-1)\/(-1))*-15. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -125 - 127. Let n = 131 - x. Suppose n*r + 490 = 10*r. Calculate the remainder when r is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-162)\/(-30) + -5 + 84\/(-10). Let q(a) = -a**3 - 8*a**2 - 3*a + 12. Does 14 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 = 2*h. Suppose -j = -5*c + 11, 4*c = -4*j + 3*c + 61. What is the remainder when (h + 5)\/(2\/67) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -10686.6.\nAnswer: -10686.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) 221.3 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w**3 - w**2 + 2*w - 1. Let i = 1 - 0. What are the prime factors of m(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3783324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485899145 to the nearest integer?\nAnswer: 22043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, 2, -4, -427 in descending order.\nAnswer: 15, 4, 2, -4, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**2)\/(g**(-9)\/g))\/(g*g*g**2*g*g*g*g*g**(-3\/2)*g)*(g**(-1\/4)*g)**(6\/13)*g**(1\/3)\/g**(-4\/7) assuming g is positive.\nAnswer: g**(1843\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-660))\/(1\/3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.22839 and 1.\nAnswer: 1.22839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x**(8\/7)*(x\/x**(-2\/23))\/x**(-2\/5))**(-20))**(-1\/13) assuming x is positive.\nAnswer: x**(8468\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55787*c + 794707*c + 248771*c.\nAnswer: 987691*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:10 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**3 - 16029 + 1494*s**2 + 16029)*(2 - 2 + s).\nAnswer: -8*s**4 + 1494*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5204.529 decades to millennia.\nAnswer: 52.04529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 467*b + 6896. Calculate i(-15).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9945*b + 4179*b + 1848*b + 953*b)*(2*b + b - 2*b).\nAnswer: 16925*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16832 + 16836. Solve -3*g + g - j*a = -6, 4*a - 36 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 37, 54, 69?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 24*u**2 - 60*u + 97. Determine h(-27).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:04 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702 = 28*x - 69*x - 87 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Suppose 0 = -2*z - 28 + 34. Suppose t = 2*i + z, 2*i = 7*i. Solve t*s = w - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5148 times -399\nAnswer: -2054052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 39714*h + 1112001. What is j(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182752280?\nAnswer: 2, 5, 79, 151, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -6, -6966.\nAnswer: -6966, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 15*q**5 + 25*q**3 - 5*q**2 + 3 - 9 + 6 - 35*q**4 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*x - 9231 + 2558 - 1351 = 0 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 + 1 = 0. Let u(v) = 4*v**2 + v + 2. What is the smallest common multiple of 10 and u(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**10*x)\/x*x*x*x*(x*x\/x**(-10))\/x)**(3\/4) assuming x is positive.\nAnswer: x**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 44*h**2 - 568*h + 36. What is the thousands digit of r(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 22. Let t be j(-9). Let o = t - 13. Solve 0 = -5*f + f + a + 4, o = 5*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.118760105 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 9:49 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23523926 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 - 2*x**3 + 2588*x - 827*x + 1047*x to y*x**3 + l + n*x + z*x**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**4\/12 - b**3\/6 - b**2. Let y(p) = 6*p - 8. Let h(i) = -i + 1. Let w(n) = 12*h(n) + y(n). What is 7*d(v) + 2*w(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 29 = 7. Suppose d*p + 34 = 10*p. What is the greatest common divisor of p and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 13 - 4. Let s = 12 + l. Suppose -s*u + 63 = -0*u. Solve p + 3 = 3*p - 5*v, 5*p + v - u = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 4, b: 1}. Give prob of sequence ccb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:16 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 296 - 124 = 0. What is the greatest common divisor of h and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1108, -2238, -3402, -4618, -5904, -7278?\n\"Answer: -3*t**3 + t**2 - 1112*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1621 divided by 1161.\nAnswer: 1621\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 249551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-21))\/(-2) + -2)\/((-10)\/35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-54))\/(20\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 8*a**2 + 10*a + 13. Let z(x) = -7*x - 93. Let f be z(-9). Let t = f + 21. Calculate w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2\/17, 0.2, -0.5, 1426, 7, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2612 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -0.01\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 604 - 600. What is the nearest to -8 in g, -0.4, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84796729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -324391 + 324443.6588. Let p = 0.0588 - k. What is p rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 4*o**2 + o - 3. Let f be i(-4). Let w = -4 - f. Solve w*s + 6 = -6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 400 = u. Suppose 0 = -4*s - s + u. Let v(f) = f**2 - 3*f - 2. Let p be v(4). What is the highest common factor of s and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = -5*s, 5 = -5*j + s - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppilmppsp. What is prob of picking 1 p and 1 m?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 402163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaffffaf. What is prob of sequence aaf?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13321\/12 - -1111. Calculate the common denominator of c and 63\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5. Let p be u(0). Let o be 5\/(-3) - ((-18009)\/(-324))\/(-29). Factor -11\/4*b**4 + 0 - o*b + 9\/4*b**3 - 1\/4*b**2 + b**p.\nAnswer: b*(b - 1)**3*(4*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*g = -17, 5*r + 496*g - 89 = 515*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -290.5 - -290. Let b = -19098 + 19097.499984. Let k = g - b. What is k rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1999193 divided by -1999193\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = -3. Let a be -1*(-1)\/b - -1. Solve -2*f + h + 8 = 0, -17 = -a*f - 3*f + 4*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8594184 is divided by 563.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17487 + -17149. What is the highest common divisor of k and 4563?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = -4*d. Suppose -2*a + 3*a = 2. Suppose 2*r - a*x - 78 = 0, -58 = -2*r - 3*x + 45. What is the greatest common factor of d and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and (-15)\/((-330)\/524) - 6\/(-33)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/18 and 27\/3518?\nAnswer: 31662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -205325 (base 7) to base 13\nAnswer: -13205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*h + 16, -2*h + 5*i - 5 = -13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 450\/(-100)*(-6)\/(-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + k - 56 = -5*w, -4*k + 9 = -11 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28332012563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**5*c)\/c)**(1\/12)\/(c*c**(-4\/11)*c*c\/c**(-2)) assuming c is positive.\nAnswer: c**(-91\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -218*h**3 + 8*h**2 + 56*h - 25. What is the ten thousands digit of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - -5 - 15 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-20)\/c)\/c**(18\/5) assuming c is positive.\nAnswer: c**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 28051825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 3. Let w be z(-3). Suppose -5*m + 21 = 4*f, m - 2*f = 2*f + w. Suppose 4*s = v + 2*s, m*v + 5*s = 60. Solve 3*a = -a + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgbs when four letters picked without replacement from {j: 3, e: 6, s: 1, b: 1, g: 2}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -25?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 9770008050\nAnswer: -9770008024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f + 25*f - 61*f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 564*u**2 + 17*u - 12. Let t = -649 - -654. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922534.\nAnswer: 2, 19, 50593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/8)\/(((((r**(1\/15)\/r)\/r)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(667\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 20*g + 1490. Calculate the smallest common multiple of g and 1.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22393 or -7025?\nAnswer: -7025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = 0. Suppose -2*l + 14 = -2*w, 4*l - 2*w - 20 = -o*l. Suppose -3*c = -0*z - l*z - 249, 4*c = -5*z + 305. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 1:39 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1262, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*b + 5*b - 3, 5*j - 2*b = 5. Let q = 2 + j. Let c = 10 + -7. Solve -r - q*l + 12 = -0*r, -c*l = -5*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 13. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.559 + -0.6. Let y = -0.059 + w. Sort -1\/2, y, 0.1, 2\/17 in descending order.\nAnswer: 2\/17, 0.1, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18706920, 37413851, 56120782, 74827713?\n\"Answer: 18706931*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 8*p + 10. Let a be w(8). Suppose -17 = -5*s - 2*c, -4*c + a = 4*s - 6. Solve -2*l - s = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-40)*10\/(-6). Let f = 7\/12 - i. Which is the nearest to -5? (a) f (b) -2\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 15.9, 4, 3, -0.3, 2\/11.\nAnswer: -0.3, 2\/11, 3, 4, 15.9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**3 - 104*q**2 - 35*q - 45. Give g(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4251435 - 4251419 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 821776.7 kilograms?\nAnswer: 821.7767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 272\/16047?\nAnswer: 272\/16047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -242, -294, -386, -530, -738?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.033? (a) -5 (b) 0.1118 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {n: 1, m: 2, r: 1, g: 2, p: 1, u: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 207*n**2 - 9879*n - 12984. Determine g(-134).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 31 - 36. Is 2\/5 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*y + 82*y - 656 = -33*y - 92*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 + 133.13. Let d = k - 0.13. Let o = 0.5 + -1.5. Which is the closest to 1? (a) o (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42791 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000465257 to five decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.297 + 30.497. Which is the nearest to 0.15? (a) -2\/3 (b) o (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18270597 or 18270609?\nAnswer: 18270609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 5*h + 2. Let t = 72 + -48. Suppose w = -44 + 47. Let o(c) = c. Let f(v) = t*o(v) + w*b(v). Suppose f(m) = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 3 - 2 - 2. Let v be a(1). Solve d + 4 = 3*d, -3*f + 4 = -v*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930934157?\nAnswer: 449, 6527693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 608 + -629 + 6 + (-2 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 92*r**2 + 2*r. Let j(b) = 520*b. Give j(s(c)).\nAnswer: 47840*c**2 + 1040*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 85811204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11665*a - 43163. Give i(-4).\nAnswer: 3497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972759179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 687502.6 millimeters in micrometers?\nAnswer: 687502600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*(-136300)\/(-1740)*(-9)\/(-12)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (186\/(-5115))\/((-2)\/(-10))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -16*m**2 + 11. Let s(k) = 22*k - 1. Let z(w) = 69*w - 3. Let c(q) = -3*s(q) + z(q). Determine p(c(n)).\nAnswer: -144*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((5\/(-15))\/1)\/((-4)\/72). Suppose 5881 = 2*k + 3*v, 5*v = t - 1. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108448759, -108448758, -108448757, -108448756, -108448755?\nAnswer: -108448754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2\/3 + 16798*c\/3 - 23576.\nAnswer: 2*(c + 1684)*(5*c - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 45543?\nAnswer: 1320747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2387125 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 8:57 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 w when three letters picked without replacement from iuwlrtw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 23101*m - 20009*m - 3092*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -5, 937, 2, -7 in descending order.\nAnswer: 937, 30, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 827898 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869416472?\nAnswer: 2, 13, 2017, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 2119*n**3 - 5387*n**3 + n.\nAnswer: -7506*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 20231780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Let p(i) = -4*i + 2. What is the least common multiple of p(-2) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371 + -354. Suppose 2 = v + 3. Which is the biggest value? (a) v (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 104*i**2 + 2704*i - 49. What is y(53)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-26 + 15) - (8 + -7)*(28 + 1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/36*3)\/((-325)\/200)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*k + 832 = 0, t - k = 2*k + 401. Put 11, t, 5 in decreasing order.\nAnswer: t, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*b - 14. Let d be (-4)\/10 + (-21)\/b. Is 1*96 + -1 - d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - -413?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -7*i + 11*i + 6470, 4*f = -4*i + 5176. What are the prime factors of f?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00197461 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 8*r - 18)*(25 - 40*r - 25)*(-1 - 1 + 0)*((-4 + 1 + 2)*(0 - 1 - 1) + 2 - 1 + 1) in the form z + n*r**2 + d*r and give n.\nAnswer: -2560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o = -3*l + 60*o + 30, 50 = l - 8*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 19, 0.3, 16.939?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 715 = 4*a. Let h = a + 404. Suppose 4*n - h = -41. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30687\/14 + 2196. Let b = -485\/126 + o. Solve 4\/9 - 2\/9*h**2 + b*h = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215309 is divided by 195?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 144*l\/7 + 6100\/7.\nAnswer: -4*(l - 25)*(l + 61)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/8)*y)**(2\/5)*(y*y**13)**(-16))**(-2\/31) assuming y is positive.\nAnswer: y**(4473\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 681*x + 3364. Determine i(5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 39292*i - 30767880.\nAnswer: -4*(i + 858)*(i + 8965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55, 52, 45, 34?\n\"Answer: -2*w**2 + 3*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5110*j**3 + j**2 - 617309*j?\nAnswer: 30660*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 5*i**2 - 19*i - 27 - 13*i**2 + 8*i.\nAnswer: -18*i**2 - 16*i - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 1640 = -2*s + 23*h, h - 1652 = -2*s. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z = 13*z + 12*j - 13*j + 2, -j + 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u - 338. Let n(l) = -l + 2. Calculate 12*n(i) - o(i).\nAnswer: -4*i + 362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w + 94 + 779 + 765 = 0 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Let j = -1 + 1.3. Suppose 4214*p - 40 = 4206*p. Sort p, 2, i, j in ascending order.\nAnswer: j, 2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 16428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:38 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 24*q**2 + 45*q - 496. Let s be a(25). Solve -s*w + 3*g = -w - 9, -3*g - 13 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -7*z**3\/3 - 7*z**2\/2 - 5*z. Is a(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30211 - -3241?\nAnswer: -23640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2802681 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l - 17. What is the tens digit of w(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5568542109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*l**3 - 2*l**3 - 3*l + 17*l**3 - l**4 + 2 - l**2 in the form b*l**4 + f*l + d*l**3 + j + o*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 2.8, -16 in descending order.\nAnswer: 2.8, -6\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52091 - 52090.830088. Let v = s + -0.17. Round v to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 30080899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -273*i**3 - 894*i**2 - 969*i - 348.\nAnswer: -3*(i + 1)**2*(91*i + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22930728 divided by -1910894\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o**3 + 493*o**2 - 111*o + 239. Determine w(35).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let q = -285 + 288. Factor -t*f**2 + 1\/2*f**5 - 7\/2*f - f**q + f**4 - 1.\nAnswer: (f - 2)*(f + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -454*r**7\/21 - 650*r**3\/3 + 390*r + 1. Find the second derivative of s(i) wrt i.\nAnswer: -18160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/7*((-80)\/4 + -4). Solve -19*k - 5*k = x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:47 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -12.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284.999626 + 285. What is h rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -2 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**3 - 2*z**3)*(z**2 + 2 - 2) - 3*z + 959*z**3 + 2 + 0 - 957*z**3 + 5*z**5.\nAnswer: 4*z**5 + 2*z**3 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725 divided by 1385?\nAnswer: 545\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21722734 is divided by 272.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let o(m) be the first derivative of -11*m**3 + m**2 - 60. What is o(a(y))?\nAnswer: -33*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 741201 to the power of 1\/2, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66156*q - 132312*q + 66155*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5\/4 (c) -64 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t**2 + 70*t - 14. Give z(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -41. Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5\/4 (b) -579 (c) 29 (d) 2\/5 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = -3. Suppose -t*h = -126 - 27. What is the remainder when h is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*y + 3, -11 - 1 + 24 = -2*o + 5*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021 a factor of 917405196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 295557 from -161788.7.\nAnswer: -457345.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*b + 3*j - 27, -3*b - 20 = j. Let q = -5 - b. Suppose 1 + 1 = q*p - 2*t, -p + 5*t = 11. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhhehee. What is prob of sequence eh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 5. Determine w, given that -14\/5*w**3 + 6\/5*w**2 + 6\/5*w - 4\/5 + 6\/5*w**g = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 348425.\nAnswer: 348425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 5*p - 21. Give q(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-468))\/(445\/(-267))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x - 17. Let k(h) be the third derivative of 5*h**4\/24 + 3*h**3\/2 + 19*h**2 - 5. Give 11*k(v) + 6*z(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 5*x + 2*p - 37, 4*p = 2*x - 22. Suppose 104 = 5*c + x*f - 96, 2*f - 43 = -c. Let b = 48 - c. Calculate the greatest common divisor of b and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32920495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = -0*u + q, 2*q - 10 = -5*u. Let z = u + 2. Which is smaller: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 23. Let r(c) = -164*c - 3. Is r(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 3*u - 1. Let b(z) = -z. Let d be -10 + 0 + -1 + 4. What is the lowest common multiple of v(-5) and b(d)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 341 = -53. Suppose k = -3*k + a. Suppose -k = -0*g + 4*g. Put 3, g, 4 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/11550*1*(4 + -11) - (-488)\/(-150).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2709*m*y**3 + 2*y**3 - 1215 wrt m.\nAnswer: 2709*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12852\/2295)\/(((-42)\/45)\/(-7)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229484 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 + 174.1\nAnswer: 172.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5)*2*2\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17565 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -50*z. Let c(a) = 7924*a**2. Determine j(c(p)).\nAnswer: -396200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 2. Suppose j = 2*c - 2, -z*c - c - 2*j = -10. Suppose 3 + 1 = c*m. Solve m*v - 6 + 0 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 427, 428?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 353\/7 + -50. Let r be 5\/(-5) - 11\/(-9). Sort -4, v, r.\nAnswer: -4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/120 + j**5\/15 - j**4\/24 + j**3\/2 + 5*j**2. Suppose 37 = 3*s - 5*d, 4*s + 8 = 5*d + 49. What is f(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baa when three letters picked without replacement from {b: 3, a: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 66827.\nAnswer: -9\/66827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-6) + (-196021)\/(-39) + 208\/1352 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3.44, 4 in descending order.\nAnswer: 4, 3.44, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24638569.\nAnswer: 107, 409, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**6\/30 + c**5\/8 + c**4\/8 - c**3\/12 - c**2\/4 - 3*c. Factor y(x).\nAnswer: (x + 1)**3*(2*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 849 = 1263. Suppose 7*x - j = -9*x. Calculate the remainder when 126 is divided by x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (11 + (6 - 25))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Suppose 0 = r*z - 15 - 1. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 3. Let c(q) = -3*q + 5. Let t(w) = 5*c(w) - 8*s(w). Calculate t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 9:59 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76095038369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - -50. Suppose 4*u = -u + x. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.0483788 - -5.05. Round w to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -99, -156, -215, -276, -339?\n\"Answer: -q**2 - 52*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 580 - 7?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 447 + -704. Let b = -255 - o. Solve -p = 2*p - j - 9, 0 = 4*p - b*j - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 9) in base 10?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.5, 3, -3, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4401 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*r - 35 + 8 - 19, -4*r = 4*q - 3*q + 10 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*a + 80745 + 16269 = 0. What is the greatest common factor of 38 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (20\/8 + -2)*1618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t - 3*t + 2*t)*(-5 + 1 + 3) + t + 2*t - 5*t + 0 - 2*t + 0 + 0*t - t - t - t - 2*t - 2*t)*(t**2 - 2*t**2 + 6*t**2).\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*m - 256, -22*g = -21*g - 3*m + 127. Are g and -131 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -55*f + 44. Let m(p) = -p. Let r be m(5). Let h(z) = -26*z - z - 256 + 540 - 262. Let u(s) = r*h(s) + 3*q(s). Differentiate u(j) wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 32. Solve 0 = g + a + t, -4*g - 7*a + 5*a - 24 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -155*p + 142. Calculate i(0).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9538*i - 4. Let a(d) = -d - 697. Calculate a(g(h)).\nAnswer: -9538*h - 693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1794832*p = -1794835*p, 2*a = -4*p + 22 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403 + -392 - ((2 - 53) + 3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*u = -0*u, u = 3. Suppose 0 = -650*d + 654*d - 132. Suppose -19*i + 43 = -d. Solve 0 = i*h - q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -271*j + 5585. What is o(21)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 + s**2 - 9*s - 2. Let t(h) = -18*h**3 + 2*h**2 - 25*h - 6. Let i(v) = 8*n(v) - 3*t(v). Give i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 17*z - 20*z + 5*z + 7*z + 772*z**2 + 12*z.\nAnswer: 772*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 28.6, 648, -8.\nAnswer: -8, -2, 28.6, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -385.9431 - -386. Let q = 0.054 - a. What is q rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041763 to 7 dps.\nAnswer: 0.0000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 + i. Let p be k(1). Suppose p*g + 21 = 1, u - 4*g = 25. Suppose -2*z + 0*z + 3*r = 7, -3*z = -3*r + 6. Sort z, 8, u in ascending order.\nAnswer: z, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354348 divided by 59058.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -59. Let w = m + 41. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 + 10211?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110000100002 (base 3) to base 9.\nAnswer: 4400302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 311*a**5\/60 - a**4\/24 + 5*a**3\/6 - 11*a**2. Let k(u) = 156*u**2 - u + 3. Let l(x) = 4*d(x) - 7*k(x). Is l(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -508 - -1039. Let x = 953 - m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/70)\/((-1)\/2). Let c(k) = -k**2 + 5*k + 2. Let u be c(5). Let n be (u\/10)\/(60\/(-75)). Is m at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 22*m + 92. Let v be x(-7). Let a be 135\/18*-2*4\/v. Put 1\/3, 2\/17, 0, a in ascending order.\nAnswer: a, 0, 2\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-15)\/27*(-399)\/95\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/135*18 + (-341)\/(-297) + -9.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (36 + -82)) + 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let i = -2.04 - -1.98. What is the third biggest value in t, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00134273 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c. Let q(j) be the second derivative of -j**4\/4 + 40*j. Give s(q(l)).\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -276560 (base 9) in base 5?\nAnswer: -20400413","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 3. Suppose -2 = z, -3*z - 79 = -m - s*z. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*s**2 - 17*s**2 - s**3 - 82*s**2 to w*s + f*s**2 + i*s**3 + u and give f.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -17.41624 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 17 = -2*n. Suppose 7*b - 3*b = 16. Suppose n = b*y + y. Solve -2 = 3*w + y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 352b6?\nAnswer: 352ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 3*b + 52 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*t = 2*t - 1365, x = 5*t + 252. Suppose 4*l + u = 2*u + x, -4*u = l - 65. What is the greatest common factor of 46 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 5*h**2 + 6*h - 1. Let a be k(5). Let t = -11 + a. Let m = 41 - 19. Calculate the least common multiple of t and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (2 + -2 + 2). Let z(n) = -m - n + 5 - 6 - 3. Let q be z(-7). Is -4\/5 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/25))\/(a**(-7)\/a))\/(a\/(a**(3\/5)*a)*a*a*a\/a**13) assuming a is positive.\nAnswer: a**(489\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/13 - 2*v**2\/13 + 12*v\/13 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/35580204 and 101\/1617282.\nAnswer: 35580204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.64119 take away 1427026.8?\nAnswer: -1427028.44119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/3, -4, 0.167?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16641\/2 + 1\/2*c**2 - 129*c = 0. Calculate c.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175300613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 2. Let u be a(1). Let d be 1 - (2 - (0 + u)). Suppose 3 = 5*y - 17. Solve -5*f + f - y = d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-2 - -4) + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (20 + -54 - 0) - 58?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84647, -84644, -84641, -84638, -84635?\nAnswer: -84632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w - 21. Give k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Let c = o + -5. Suppose c = x - 3*x + 58. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 87, 128, 171, 216, 263?\n\"Answer: w**2 + 36*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132396 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45910 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**2\/2 - 1. Let u(k) = -21*k - 40*k + 63*k. Calculate u(a(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 57*z**4 - 748*z**3\/3 + 735. Find the third derivative of f(y) wrt y.\nAnswer: 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25625114 (base 9) in base 4?\nAnswer: 300002301322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.41156\nAnswer: 0.082312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1135 = w - 6*w. Suppose w + 233 = y + 2*x, x + 466 = y. Is 69 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 4*s - 18*s)*(3 + 2 - 4) + (3*s + 0*s - 5*s)*(7 + 11 + 7) to y + g*s and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25344 is divided by 1055?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -1\/2*m**3 + m**2 + 1\/20*m**5 + 0*m**4 + 0 + 4*m. Factor d(o).\nAnswer: (o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 + -141663?\nAnswer: -141613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1835 and 1\/50?\nAnswer: 18350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -16 + 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95704 and 308?\nAnswer: 1052744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hitsrtrsirtvvt. What is prob of picking 1 r, 1 v, and 1 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 5*n - 5. Let j be 4*((-74)\/(-8) + 10\/(-2) - 3). Let m(i) = -5*i**2 - 8*i - 8. Determine j*m(g) - 8*d(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 = -13. Let l(g) = g**3 + 6*g**2 + 6*g + 7. Let a be l(-5). Suppose -o = -f*j - 0*o + 809, a*o = 2*j - 330. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-320)\/50)*60\/(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18543 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1661*r**2 - 443*r**2 - 574*r**2 + 1 - 1 - 448*r**2.\nAnswer: 196*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 144754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(-1*-6*(sqrt(70) - sqrt(70)*-1))\/((sqrt(90) - (sqrt(90) - (sqrt(90) - (sqrt(90) - -1*sqrt(90)))*1))\/sqrt(9)))**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*c**2*q**2 + 4*c**2*q + c*q**2 - 225*q**2 wrt c.\nAnswer: 104*q**2 + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 16*i. Let f(p) = -p. Let x(o) = 32*f(o) + s(o). Let j(a) be the first derivative of a**2\/2 - 801. What is j(x(n))?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 611371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -9. Is -0.2 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005281 to six decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47578248.2 rounded to the nearest ten thousand?\nAnswer: 47580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188621, -188619, -188615, -188609, -188601, -188591?\nAnswer: -188579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 41*j - 20 - 5 = 0. Solve -65*i = j*i + 810 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14.03. Let y = 0.23 - d. Suppose 4 = 2*b - 0. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 25 = 2*g - 5*d, 2*d = -4*g - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 0 - 7 + 3 - 3.\nAnswer: -c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68)\/sqrt(2)*2*-6*1)\/((sqrt(2) - (-2*sqrt(14))\/sqrt(7)) + sqrt(32)) + 2.\nAnswer: 2 + 24*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170306 and 51.\nAnswer: 510918","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is (72\/27)\/(-2)*6\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-324.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.7875 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.02 (c) 0.057 (d) 17 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 - 2*p**3 + (p**2 - p**2 - 2*p**2)*(-5*p + 6*p - 3*p) + 28*p**2 + 6*p**3 + 34*p**2 - 61*p**2.\nAnswer: 8*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 13 = -36*u + 33*u, 0 = 4*u - 3*p + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/((-1)\/2). Let q = 36 - 27. Let g(n) = -n + 10. Let x be g(q). Solve -6 + x = z + t, b*z - t + 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o + 1776*o - 520*o - 48440 = -2260*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4386, 6, 1073, 3.\nAnswer: -4386, 3, 6, 1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 327*n**2 + 9381*n + 25281.\nAnswer: 3*(n + 3)*(n + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1197 + -38. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -97a8?\nAnswer: -97a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.176 + -0.476. Which is the closest to 1? (a) o (b) 0.2 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -15*r**3 + 7*r**2 - 4940*r + 6. Let l(s) = 4*s**3 - 2*s**2 + 1647*s - 2. What is 2*f(j) + 7*l(j)?\nAnswer: -2*j**3 + 1649*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.11 + -14. Let p = c - 0.109972. Round p to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-1\/4)*c)**(-8\/11)\/((c\/((c**(3\/10)\/c)\/c))\/c*c**(-10)) assuming c is positive.\nAnswer: c**(653\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11756612*h**3 - 33077041*h wrt h?\nAnswer: 70539672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7515)\/12)\/3*-4. Suppose -4*m - p = -9*m. List the prime factors of m.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*o + 1 + 3, 2*v + o + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*w + w + 6, -8 = -4*d - 4*w. Let x = 136 - 91. Solve -2*k + 5 = -3*a, d = -4*k - 6*a + a - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a - 2. Let n(v) = -6*v - 1 - v + v**2 + 0*v + a*v. What is n(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58826 and -3019452?\nAnswer: 2960626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l - 86. Let x(a) = -a**2 + 1. Let n be x(4). What is the remainder when o(-12) is divided by (18\/n)\/((-6)\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 4\/5 (c) 0.3 (d) 3\/8 (e) 33290\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.09, 12\/17, -0.1, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87780849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 = 3*q, -p + 86*q + 6 = 83*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 3\/5 (b) 2.2 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 8*x**5\/5 - 33642774*x**4\/5 + 47159818201858*x**3\/5 - 22035873072992476086*x**2\/5 - 49580929581211133298*x\/5 - 11017989591368462748\/5 = 0?\nAnswer: -2, -1\/4, 1401783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*a = -0 - 2, 1 = a. Suppose 8 = 4*l - j. Suppose 33 = l*r - b, b - 75 = -4*r - 0*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 1682*t**4\/3 + 4930*t**3\/3 + 1006*t**2 - 226*t\/3 + 4\/3 = 0.\nAnswer: -2, -1, 1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57, -209, -419, -657, -893, -1097, -1239?\n\"Answer: 5*q**3 - 59*q**2 - 10*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*y + 134*y = -20*y + 274*y + 15093 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101000011 - 1000101100010101?\nAnswer: -111110111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 220?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4943*k = 4958*k - 705. Suppose 5*w - 39 = 2*w. Calculate the remainder when k is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 3, p: 4, y: 5, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*2\/(1 + -2). Let o = x - -4. Suppose 43 = 3*v + o. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w. Let i(f) be the first derivative of -f + 5. Let p(b) = 2*i(b) - m(b). What is the smallest common multiple of 34 and p(-6)?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-2 - (-215 + 3 + -7). Let p = u - 87. What is the remainder when (2\/4)\/(-5 + 655\/p) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 4*q - 5. Let z be (-9)\/(-3)*-2 + 1. Let m be x(z). Which is smaller: m or 2\/45?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6079?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 539, 600, 691, 812, 963?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, l: 5, f: 1, i: 7}. What is prob of sequence lilf?\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37185 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4 (c) 2828453\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41565 and 14535?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 m when four letters picked without replacement from {o: 4, j: 1, c: 3, m: 12}?\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904.939 decades to years.\nAnswer: 9049.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 33*r**2 - 18*r - 17. Let m be g(-17). Suppose m = -9*t + 5*t + 80. Suppose 4*y - 4*o = t, 9*o + 5 = 4*o. Solve -11*k = -7*k + y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*s**2 + 42*s**2 - 2*s**2 - 2*s**2 - 1 - 17*s as j + p*s + t*s**2 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 5*v**2\/3 + 7*v\/3 + 1.\nAnswer: (v + 1)**2*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/6093 and -46\/1708071.\nAnswer: 5124213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20284488.\nAnswer: 2, 3, 7, 167, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-18 + 7 - 7)) + -13 + -11\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.02, 2, -165\/8, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3017, 12019, 27011, 47987, 74941, 107867, 146759, 191611?\nAnswer: 242417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13*l**2. Let h = -385 - -384. Let b(j) = -j**2. Determine h*q(n) - 4*b(n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17 + (-2 - 4))*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(100))\/sqrt(5) - (sqrt(180)*1)\/sqrt(9))\/(sqrt(490)*-3 - -3*sqrt(90)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1202343 and 1074.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -j - 5*i, -3*j - 4*i = -0*j - 121. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2. Let h(z) be the first derivative of z**2\/2 - 12. Calculate h(x(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + -2 - (-8 - (20 + -46)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8\/17 + 32\/17*h + 18\/17*h**2 = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*u + 1613*u - 582*u - 382*u - 522*u.\nAnswer: -273*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 7750 (b) 22 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.1. Let n = -18.6 - -19. Let c = 0 + -0.2. What is the closest to f in 0, n, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1360)\/12)\/((-4)\/(-12)). Let z be (-13)\/5 + (-544)\/o. Put z, 21\/5, -2 in ascending order.\nAnswer: -2, z, 21\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 + 6. Calculate v(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.93 - 0.07. Let p = -2 + 1.9. Let t = -0.3 - p. Sort y, t, -2.\nAnswer: y, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 77836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v + 13855 = 532*v + 252*v - 45*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*k - 215*k - 136935 = 0. Let x be 4\/10 - 20196\/(-10). Let n = x - k. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000713 to six decimal places.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 2 = -2*q - 5*u, -4*q - 3*u = 1. Suppose -q*t - 3 = 29. Let k be 0 + -1 - t\/3. Which is greater: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + d0?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7831120 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**0)**9)**(-19\/2))**(1\/7))**(25\/2) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 1, h: 6, g: 3, i: 4}. Give prob of picking 2 g, 1 h, and 1 w.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586.205 kilograms in nanograms?\nAnswer: 1586205000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3168\/28 + (-26)\/182. Suppose 0 = 15*l - 83 - 1612. Is l >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6 + (-1)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = 2*s. Let n be 1\/(14\/(-6) - s). Which is the nearest to -2\/3? (a) 5 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 2*b + 4. Calculate s(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-44) + -3 + (-265)\/(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z - 12*z + 12*z)*(-7*z - 726 + 726) + 7*z**2 + z**2 - 2*z - 7*z**2 - 3.\nAnswer: 64*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/17 (b) -3 (c) 7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5510\/9 or 4181\/10?\nAnswer: -5510\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1076 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**4 - 7*f**3 - 15*f**2 - 17*f. Let c(g) = 6*g**4 + 7*g**3 + 15*g**2 + 18*g - 1. Let s(d) = -4*c(d) - 5*h(d). Determine q, given that s(q) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from qvvl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2*3\/(-9))\/((-8)\/60)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c. Suppose 2*q + 4*t - 24 = c, 5*q + 0*t + 3*t = 60. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28218 minus -3914?\nAnswer: 3914.28218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 355*a - 5650. Determine r(17).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -5*i**6\/3 + i**3 - 43*i**2\/2 + 46. What is the second derivative of h(l) wrt l?\nAnswer: -200*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 19. Let r be i(20). Suppose 0 = 10*s - r - 41. Solve -2*l - 4*o - s = 0, 2*o - 2 + 20 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/4*(2 - 0). Let d = i - -1. Let m = 9.9 - 9.5. Put m, d, 2 in increasing order.\nAnswer: d, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -13044?\nAnswer: 13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -191, -211, -269, -377, -547, -791?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, h: 6}. What is prob of sequence hhtt?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685876?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12546 divided by -3\nAnswer: 4182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -84680 divided by 1?\nAnswer: -84680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34151, 34131, 34111, 34091, 34071?\n\"Answer: -20*f + 34171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + 6.5. Let t = 18 + -11.5. Let x = i - t. What is the biggest value in x, -0.09, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + n**2 - 3*n**2 + (-11*n - 13*n - 24*n)*(-n - 1 + 1) - 6*n**2 + n**2 + 2*n**2.\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -96, -246, -468, -768, -1152?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 10\/4. Let z(u) = -u - u**3 - u + 1 - y - 5*u**2. Let o be z(-5). Solve -4*s + s = -o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 814 = 4*w - 288, -2*d = -5*w - 530. What is the remainder when d is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -45. Calculate the remainder when (-23)\/2*(0 + -2) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.8. Suppose 2*r + 1 = -s, 0 = -s - 0*s - 3*r - 2. Let o = 1207\/13 - 93. What is the nearest to s in -1, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3601 + -1.45941. Round l to three dps.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 15*x + 11*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 22. Suppose -u - 5*b = 29, 0*u - 2*u - 34 = 4*b. Let d = u - h. Put 3, -1, d in increasing order.\nAnswer: -1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15467140 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 327187*w - 327200. Give x(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -14. Let m = j - 6. Suppose -3*y - 2*f + 8 = 0, -f = -0*f + 2. What is the smallest value in y, 8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858208?\nAnswer: 2, 11, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*r - 11*r**2 - 211*r + 455*r.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(3 - 2 - 2)*(2*w**3 + 5*w**3 - w**3).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1766753666\/(-612) + (-17)\/(-34). Let x = 2886862 + f. Let r = x + -92\/9. Which is smaller: r or 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 2*o**4 - o**3)*(-27663 + 27663 - 658*o).\nAnswer: -1316*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q + 329. List the prime factors of j(20).\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7564)\/(-5208) - (-60)\/(-210).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.493 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122101202 - -11022002?\nAnswer: 210200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 - -103. Let u(h) be the third derivative of h**5\/60 - h**4\/6 + h**3\/6 + h**2. Let n be u(6). Solve -2*a + 3 - n = j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l. Let u be w(0). Suppose -2*p - 4*r + 96 = u, -4*p - 2*r + 157 = -r. Calculate the remainder when p is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.3. Let p(b) = -141*b - 277. Let x be p(-2). What is the smallest value in -1, t, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40365 - 23635. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 71.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/7 - 1581*s\/7 + 37650\/7 = 0. Calculate s.\nAnswer: 25, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 265356701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 19*q = -3367. Suppose 2*y + q = 99. Suppose -3*z = 0, -5*z - 144 = -3*m - m. Calculate the highest common divisor of m and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/241528 and -161\/12628464?\nAnswer: 88399248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 24365*y - 219397. What is j(9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -26. Suppose -2 + 26 = -8*o. Let y be o\/(-2)*(-32)\/(-12). Sort q, -3, y in decreasing order.\nAnswer: q, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 13*q**5\/30 + 4*q**3\/3 - 14*q**2 + 31*q. Let x(m) be the first derivative of d(m). Find the first derivative of x(b) wrt b.\nAnswer: 52*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*l + 4*l - 10, -3*l - 22 = -h. Solve -2*w = -5 + h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2049, -2689, -3315, -3921, -4501, -5049?\n\"Answer: g**3 + g**2 - 650*g - 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3)*(9 - 2 - 7 + 4*s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 157680484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -52\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6129507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 3. Let h(b) = -b + 1. Let w(m) = -d(m) - 4*h(m). What are the prime factors of w(8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**1)**(-6\/5) assuming s is positive.\nAnswer: s**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 5*a**2 + 2*a - 1. Let k(i) = -i**3 - 2*i**2 + 2*i + 2. Let s be k(-3). Let u = s - 8. List the prime factors of r(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5\/6, -0.07 in descending order.\nAnswer: 5\/6, 0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/2576)\/((43\/129)\/(((-2)\/(-1))\/(-18)))\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.583, -0.08, 4, 0.03 in decreasing order.\nAnswer: 4, 0.583, 0.03, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 12576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0 - 1\/2*z**2 + 2\/3*z**3 - 7\/48*z**4 + 2*z. Factor x(s).\nAnswer: -(s - 2)*(7*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32946753 and -0.2?\nAnswer: 6589350.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828866202.\nAnswer: 2, 3, 138144367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33abd5 (base 14) in base 16?\nAnswer: 1ad527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 32 + -25 + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103.9 + 104. Let k = -3 - -2.7. Let i(q) = -q**2. Let x be i(-2). What is the second biggest value in n, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 17 - 51 = 14*t + 4*h, -5*t - 36 = h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 - -146. Let j = s + 48. Solve 0 = -l - 1 + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66199 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*d - 218344 = 0, 3*j - 5*d = 67286 + 63700. What are the prime factors of j?\nAnswer: 13, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617386.6m to kilometers.\nAnswer: 617.3866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10697, -23801, -39303, -57203, -77501, -100197, -125291?\n\"Answer: -1199*k**2 - 9507*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 9*d**2 + 9*d - 6. Let k be w(8). Suppose -y + 806 = -5*t + y, 0 = -4*t - k*y - 652. What are the prime factors of (t\/(-4))\/(7\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7678 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 11*d**2 + 32*d - 24. Is c(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -197, -266, -301, -290, -221, -82?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + -16. Let f = h - -31. Sort f, 2, -2\/3 in descending order.\nAnswer: 2, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-102)\/(-459))\/(1\/(162\/12)). Suppose h = -0*h + 3. Solve 27 = 3*a + h*t, 0 = -0*a - a + 2*t - p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2459 - -2550. Which is the nearest to j? (a) 1\/3 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {c: 2, a: 1, e: 3, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (279 - 285)*(21\/(-9) - -3) + 59\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in -5, 3, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 327039.9394 to the nearest 10.\nAnswer: 327040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -869841068.0997502 - -869840781. Let r = -287.1 - z. What is r rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 1, d: 5, v: 1}. Give prob of sequence dfvg.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1194 = 4*s. Suppose -4*f - 3*n + 37 = -34, 2*n + 86 = 4*f. Calculate the remainder when s is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -17.69?\nAnswer: -17.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + q**3 + 29*q**2\/2 - 22*q + 2. Let t be y(9). Solve -5*f = 0, f + 2 = 4*x - t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 14275*i + 1 - 14626*i)*(-3*i + 3*i + i) in the form y*i + o + a*i**2 and give a.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k - 126. Let o(y) = 48*y + 885. Calculate -4*o(w) - 27*z(w).\nAnswer: -3*w - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -153313 (base 6) to base 3\nAnswer: -202121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(-9)))\/d**(2\/27) assuming d is positive.\nAnswer: d**(-272\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.3 (b) 0.06 (c) 2\/5 (d) -6 (e) 4.8 (f) 4 (g) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4984759?\nAnswer: 13, 307, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -1, 94, 299, 650?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 - (-17 + 16). Suppose 9 = i*j + 2*s + 4, 5*j - s - 30 = 0. Solve 3*v + 2*o - 16 + j = 0, -4*v + 17 = 5*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 1, t: 1, z: 1, e: 5}. Give prob of picking 2 y, 1 z, and 1 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 515146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5796\/385 - 3000\/200.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 100. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -8*p + 11*p + 11, p = 5*u - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -559 by -1.\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 1, j: 3, x: 1, l: 2, b: 4}. Give prob of sequence lba.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 62*i - 62. Give f(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -384475.96.\nAnswer: -384474.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4317, -34861, -117763, -279201, -545353, -942397?\n\"Answer: -4363*f**3 - f**2 + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-2\/3)))**(2\/11))**(6\/7)*(b**(-2\/5))**(-2\/39)*b**1\/b**(-3\/4) assuming b is positive.\nAnswer: b**(109457\/60060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 192 + 72 = 0. Let m(y) = -3*y + 11. Let o(j) = 8*j - 31. Let u(w) = s*m(w) + 4*o(w). Determine u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101551834 to the power of 1\/3, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/((-405)\/(-72))*(43 - 1). Suppose t*q + 156 = 115*q. What is the highest common divisor of q and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4595144 is divided by 1531709.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*a**2*v**2 + 110*a**2 - 2*v**4 wrt v.\nAnswer: 92*a**2*v - 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -517.7313.\nAnswer: 5.177313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986802 is divided by 878?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(125))**2 + -2)*4 - ((sqrt(180) - (-5 + -3*sqrt(180)))*-2)**2.\nAnswer: -11092 - 840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - 25. Let k be r(-5). Suppose -3*j + k*j = 3*j. Sort -5, j, 7 in increasing order.\nAnswer: -5, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from nddddddddnnddd?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 1\/133, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {f: 2, t: 4, w: 2, b: 3, g: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 11. What is r(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p. Let w(b) be the second derivative of b**7\/840 + 53*b**4\/4 - 2*b - 10. Let k(l) be the third derivative of w(l). What is t(k(q))?\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-1)\/(2\/(-8)). Let r be (0\/a + 10)\/2. Let b be r - 3 - -1*2. Solve -u + 5*t = -b*u + 6, 0 = -3*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(3)*4))**2.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -631 - -860.686223?\nAnswer: 229.686223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/((-136)\/(-48)) + (-156)\/(-6). Let l = 49 - 7. Suppose 0 = 4*z + j - 3*j - l, -4*j = -f. What is the greatest common divisor of 117 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65749 = 31*x + 6*x. Let m = x - 895. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/13*(-2)\/(-102)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3292200 = -55*g + 96*g - 218*g. Round g to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -4*u - 0. Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37252.\nAnswer: 2, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:00 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/(1 - (-6)\/(-30)). What is the closest to -2 in p, -3\/7, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8*t**3 - 4 + 3*t**3)*(7*t + 0*t - 2*t).\nAnswer: -25*t**4 - 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 5*j + 3. Let y = -84 - -89. Let l be o(y). Solve -l*b + 6 - 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/14 or 53\/13?\nAnswer: 53\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2605 + 2600. Let x = 0 - -2. Put g, -4, 1, x in descending order.\nAnswer: x, 1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79.7 - 88.57677913.\nAnswer: -8.87677913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*i + 61583 + 26921. Is 37 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1371*l**3*w**2 + 10393*l**3 - 5*l**2 + 44*l*w**2 - 3*l*w + 8 wrt w.\nAnswer: 2742*l**3*w + 88*l*w - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13032140 to the nearest 10000.\nAnswer: -13030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 4. Let f be s(-4). Let j be (20\/35)\/(f\/14). Suppose 25 = 2*o - t, j*t = -2*o + 12 + 28. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/40)*w*w*w\/((w**(-1\/50)\/w)\/w)*w)\/(w**7\/w*w**(-24)*w) assuming w is positive.\nAnswer: w**(4609\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 - -1207.2?\nAnswer: 1729.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c + 3*c**2 + 0*c**3 + 0 + 1\/12*c**4 + 1\/10*c**5. What is the units digit of i(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24964 and -39.\nAnswer: 973596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11803)\/(-296) - (0 + 1\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njipjjinp. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4838 and -179\/34440?\nAnswer: 2031960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88196 by 2.\nAnswer: 44098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15182 + 4?\nAnswer: 15186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.5. Let r = -0.5 - -0.4. Let s = r + 0.5. Which is the closest to n? (a) -5 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i - 7. Let j be s(-2). Suppose 0 = o + j*o. Which is the nearest to o? (a) -4 (b) -2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2168 divided by -2.\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -z - 3*s + 5, 2*z - 5*s + 1 = 0. Solve -3*q - 5*t - 6 = 0, 4*q - z*t - 3*t = 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, -0.4, 1, -2\/11, 600?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/3770 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2339\/3 - 7015\/9. Suppose 0 = -2*u + 3*y - 15, -y = -3*u - u - 15. What is the nearest to 2\/35 in u, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/972 and -101\/110818.\nAnswer: 53857548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p + 69*p - 44*p + 316*p - 310*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 8, 32, 76, 146, 248, 388?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 - -483. Let u = -121 + w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(-30) + (3 - 10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + 2*g)*(-1 + 0 - 1) - 3 + 3 + 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1706013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45817 divided by 3\nAnswer: 45817\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1592996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 385\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 15. Let b(u) = 8*u + 2 + v - 14. What is the remainder when b(3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1234 (base 5) to base 2\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 + 4) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*y - 3628 = 531*y + 1023*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r + 603 + 598 - 1792 + 593.\nAnswer: -35*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458992*i - 2750 = -459267*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h - 177 + 217. Solve 2*l = -l + h*w + 32, 0 = 2*l - 2*w - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 108 - 38. Suppose -134*m + 244*m + 288 = 134*m. Calculate the remainder when q is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -12281.\nAnswer: -12280.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-255 - 31*c + 508 - 256)*(7*c - 2*c + 12*c).\nAnswer: -527*c**2 - 51*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 - 91*k + 44. Determine c(12).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73401272.\nAnswer: 2, 7, 719, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 33*f - 425. Determine a(45).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8907 + -0.8907. Let i be 6\/6*3\/4. Which is the nearest to 7? (a) 10 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + y**5 - 2*y**5 - y**2 + (y**2 - y**2 - 2*y**2)*(y**3 - 3*y**3 - y**3).\nAnswer: 7*y**5 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from zzzebeeebhebjkh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 3 + 3)*(82171*i + 4267*i**2 - 82171*i).\nAnswer: -4267*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28409668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-30) - 1 - 432\/(-45). Solve d - 1 + c = -w, -3*d - 9 = -2*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 46310391.\nAnswer: 46310391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 60.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215458 divided by -117.\nAnswer: 215458\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5*s + 20, 4*s = -420*l + 424*l + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -457 + 697. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 x when four letters picked without replacement from {z: 2, o: 3, q: 3, f: 5, x: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u**3 - 1\/12*u**4 + 10*u**2 + 0*u + 0. Let h(c) = -2*c + 2*c**2 + 2*c. Calculate o(h(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 503309072?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 + 60*z**2 + 546*z + 1568 = 0.\nAnswer: -16, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000071865 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -865*i. Let a(j) = -1185*j**2 + 2*j - 3. What is g(a(x))?\nAnswer: 1025025*x**2 - 1730*x + 2595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Let p = -371\/1388 - -6\/347. What is the smallest value in p, 3, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-309\nAnswer: 339.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 61776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -7.928?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/3)*r*r\/(r**(-4\/5)\/r*r))**(-49)*(((((r*r**(-3\/5)\/r)\/r)\/r)\/r*r)**(-1\/59))**(-40) assuming r is positive.\nAnswer: r**(-108527\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:53 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*x - 6. Suppose 2*d = -x*d + 812. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -745709, -745794, -745879, -745964, -746049?\n\"Answer: -85*w - 745624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 489, 1096, 1947, 3042, 4381?\nAnswer: 5964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/b)\/b*b)**(-1\/50)*(b\/((b\/(b*(b*b*b\/(b\/(b**(-2\/7)\/b))*b)\/b))\/b))**42 assuming b is positive.\nAnswer: b**(2853\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 6. Suppose -3 = z*t - 128. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or 52.7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12 and (6\/792*-50)\/((-3)\/(-12)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 1, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhbbwv. Give prob of picking 1 h, 1 w, and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 4*p**3 - 4*p**3 - p**2 + 2*p**3 + p**2 + (-29*p**2 - 18*p**2 + 9*p**2)*(-1 - 7*p + 1) + 3*p**3 - 2 + 2.\nAnswer: 270*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -3*f**2\/2 - 3*f - 2. List the prime factors of h(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -824761 and 236609.\nAnswer: -588152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -0.3, 3\/11, 57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 2*r - 1 + 2*r**2 + 1 + 25710*r**4 - 25709*r**4 in the form l*r**4 + x*r**2 + k*r**3 + q + b*r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 = -m. Suppose m*y = -50 + 182. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = -15*d + 5016. What is the smallest common multiple of 132 and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 125740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -5 (b) 0.4 (c) -4\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*i + 2, 4*k - 12*i = -15*i - 77. Put 4, -5, -7, k in descending order.\nAnswer: 4, -5, -7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37040 + -127084238\/3431. Is -1 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1254 by -3.\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32087445 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/6633 and 119\/396.\nAnswer: 26532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -521 + 558. Suppose -54*v = -k*v - 244817. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145995 = -102*m - 146199 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 2. Let x(l) = -15*l - 11. Let v(o) = 6*m(o) + x(o). Let g be (-112)\/56*2\/(-2)*-1. Give v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 4*n + 4. Calculate c(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1201, 1123, 1059, 1015, 997?\n\"Answer: m**3 + m**2 - 88*m + 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18. Let v be (-2)\/(-2) + (0 - -2). Sort -4, y, v.\nAnswer: -4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*d - 35 - 52 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*z + 3*i - 19, -3*i + 34 = -2*z. Let y be (-15)\/z*2*(-60)\/(-70). Determine l so that y + 6\/7*l + 1\/7*l**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -7*q**5 - 147*q**3 - 30. What is the third derivative of h(p) wrt p?\nAnswer: -840*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**5\/160 - g**4\/12 - 7*g**3\/48 - 2*g + 21. Factor p(i).\nAnswer: -i*(i + 1)*(i + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 0. Suppose -6*z + 94 - 2374 = g. Round z to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4 - 5 + 0*q**3 + 2*q**2 + 3*q**2 - 9*q + q**3. Let u be i(-6). Solve 2*o - 3*o - 3 = -l, -4*l + u = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -229, -580, -931?\n\"Answer: -351*l + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -5*c**2\/2 + 5*c + 2. Let m(z) = 21*z - 19. Let x(r) = -r + 1. Let s be x(3). Let b(k) = s*m(k) - 9*o(k). What is b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/7)*j*j*j**3)\/((j\/j**(-3))\/j*j*j**(1\/6)*j))\/((j*j**(-2\/11)*j)**(-5\/3)*(j*j**(-6)\/j*j*j)\/(((j*j**(3\/10))\/j)\/j*j)) assuming j is positive.\nAnswer: j**(2483\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5027.7 to the nearest one hundred.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94045474943 + 3.4.\nAnswer: -94045474939.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1715 and 1470.\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26817542 - -26817269.00141. Let t = -0.481 + -272.519. Let z = j - t. Round z to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, q: 1, v: 5}. What is prob of sequence vg?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 4*s**2 - 137*s + 27. Give x(11).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-2))\/((-15)\/(-30) - 0)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10699, -21233, -31767?\nAnswer: -42301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - m**2 - 2*m**2. Let k = 5 - 5. Let l(j) = -2*j - 2*j + k*j. Give l(c(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 7921\/8*n**3 - 267\/8*n**2 + 114 + 3\/8*n. Factor s(z).\nAnswer: 3*(89*z - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 34 = 4*w, 3*w = v + 6 - 26. Suppose 4*k + 2*x - v = 0, 2*x = -0*k + k + 6. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1374375.\nAnswer: 1374374.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -4*w - 37*w. Calculate the highest common divisor of w and 1448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 5. Let i = l - 4. Suppose -4*f + 0*u = 3*u - 148, -i*f + 111 = 5*u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -3. Let x be -1 + 1 - (-3 + m). Let n(o) = -5*o - 4. Calculate n(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000292867382 to seven decimal places.\nAnswer: -0.0002929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -135002, -270004, -405006?\n\"Answer: -135002*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 1\/7, -0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*h - x + 5, 4*h + 20 = -4*x. Let b be (2 + -10)\/(4 + h). Which is smaller: b or 9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39407 + -354665\/9. Let c be (88\/2 - 1) + -1. Let y be 2\/6 + (-26)\/c. What is the closest to b in y, -0.4, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 226 + -230. Which is the nearest to 16? (a) 0 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = 0, -7*n - 7 = -8*n + 5*k. Which is the biggest value? (a) 0.015 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - 1033302201?\nAnswer: -1033302123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107325943 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*k, -4*k + 9508 = -2*p + 35628. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(63) + sqrt(7)) - (2 + sqrt(2) + -2)) + 0 + 4*sqrt(32)*-3)**2.\nAnswer: 38025\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 150 = 23*o. Suppose 2*t - 22783 = 4*i + 6863, -o*t = i - 74071. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 260*p + 71*p - 364*p + 19.\nAnswer: -553*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.086 (b) -4\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2793\/693 - (-24)\/(-792).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -58. Suppose -y*w + 10 = -5*w. Solve -4*d + 2*d - w*j = 0, 0 = -d - 2*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-24)*48\/(-2). Let r = 25 - l. Suppose r = 5*g - 88. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + (0 - 2) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -66*x**2. Let y(g) = 2*g + 863. Calculate y(r(b)).\nAnswer: -132*b**2 + 863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 8*r + 3*r**2 - 10*r - r**3 + 3*r**3 - r**2.\nAnswer: 2*r**3 + 2*r**2 - 18*r - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 1201\nAnswer: 55\/1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7100\/9 at least as big as 790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123188?\nAnswer: 2, 13, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3619*f**2 + 10069*f*p - 2*p + 2319725 wrt f.\nAnswer: 7238*f + 10069*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 393, 26417\/3, -0.4 in decreasing order.\nAnswer: 26417\/3, 393, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4939 - -4941. Let l be ((-24)\/(-4))\/2 + 0. Solve -l*k = 0, m = 3*m - n*k + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**6 - 41*n**4*p + 3*n**4 + 9364*n**2*p - n**2 wrt n.\nAnswer: 360*n**3 - 984*n*p + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28278 - -0.01722. What is the closest to -2\/5 in -4, 31, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 0*h + 2*r = -26, -5*r = 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 103 = 11*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 123*b**3 + 6*b**2 - 2*b + 2. Let t(c) = c**2 + 10*c - 9. Let h be t(-11). Is f(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5 + 7055*z**4 + 2478035*z**3 - 7497735*z**2 = 0. Calculate z.\nAnswer: -707, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61470 + -13584929\/221. Calculate the common denominator of -49\/5 and g.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1085893, -1085701, -1085509, -1085317?\n\"Answer: 192*d - 1086085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 = 4*p, 4 = -2*i - 3*p + 8. What is the derivative of -4*k + 6 + i*k - 5*k**3 - k wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 8*v + 2. Let t be q(-8). Suppose -2*w - 24 = t*w. Let l = 4 + w. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(21)\/sqrt(7)) + (sqrt(17) + sqrt(17) + -2 + -4)**2.\nAnswer: -23*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/12)\/((-48)\/(-288)) - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okx when three letters picked without replacement from xojjxxxxoxoooxkooooo?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -173932 >= -173940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 30*i - 55. Let v be d(-32). List the prime factors of (1256\/6)\/(6\/v) - 2.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2545, 10191, 22935, 40777, 63717, 91755, 124891?\n\"Answer: 2549*p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 71 = -16*j. Let f = 493 - 247. What is the highest common factor of f and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -302, -2475, -8400, -19961, -39042?\n\"Answer: -314*p**3 + 8*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and 19844357?\nAnswer: 33735406.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 + (4 - 3)*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 772.3926m?\nAnswer: 772392600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 - 5*w**2 + 11*w**2 + (-5*w + 3*w + 4*w)*(w + 0*w - 2*w) + 2*w**2 + 0*w**2 - w**2 to the form u*w**2 + l + y*w and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3\/6 + 5*m**2\/2 - 50*m. Let q(j) = 1. Determine 3*q(c) - z(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440 divided by 360?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -25484?\nAnswer: -25500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 + 99*i + 84. Determine w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*h**2*o**2 - 1715*h**2 - h*o**2 - 4*o**2 wrt o.\nAnswer: 136*h**2*o - 2*h*o - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -97\/3, 3\/2, -0.3, 11, -1, 4\/7?\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 - 3*p + 3. Let w(z) = -7*z**2 + 2*z - 2. Let j(h) = 2*c(h) + 3*w(h). Let n(d) = 4*d**2. Give j(n(t)).\nAnswer: -80*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -28*q - 3. Let p be t(3). Let i be 1\/(-4) - p\/12. Is 5 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 17 (b) 13 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9 = 0, -5*w + 2 = 2*o - 3*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26 + (1 - 1)\/(8\/8). Let s be 230\/18 - 4\/(-18). Calculate the highest common divisor of u and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17561, -35213, -52863, -70511, -88157, -105801, -123443?\nAnswer: -141083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.2 + 7.2. Which is smaller: j or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r - 20*r + 2. Differentiate 22*f - 22 - r + 5*f with respect to f.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 10*m**2 + 8*m + 8. List the prime factors of u(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 - 1 = 0. Suppose 0*n - n - t*p + 7 = 0, 4*p + 40 = 4*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1026610\/9 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-2040)\/175)\/((-1)\/((-28)\/8)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 1\/2*a**3 + 15*a + 3\/2*a**2 + 0 - 1\/12*a**4. Let z = 37 + -34. What is s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let h(m) = 0*m**2 + 4*m**2 + m**3 + n*m - m**2 + 1. Calculate h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.479 + -6.379. Is -37 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7244337\/787 - 9205. Is 0 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -35*n**3 - 20*n. Let v(l) = 12*l**3 + 7*l. Determine -6*g(r) - 17*v(r).\nAnswer: 6*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 5 + 3*r - r**2 + 0*r. Let l be v(0). Let n(z) = z**3 + 5*z**2 + 4. Let o be n(-5). Solve -l*f + 9 = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o - 8. Let n be p(-9). Let r = n - 999\/11. Let u = -5.08 - -0.08. Which is the nearest to r? (a) 2 (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (240*i**2 + 212*i**2 - 435*i**2)*(0 + 0 + 1)*(2*i - 2*i - 2*i) - 8*i - 5*i - i**2 + 8*i - i**3 to o*i**2 + w*i**3 + v*i + p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -315, -1487, -4035, -8481, -15347, -25155?\nAnswer: -38427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -r - 2*c, 307 = -4*r - 0*c + c. Let l be r\/(-95)*25\/2. Suppose 3*a = -3*g + 24, 4*g = -3*a + 4*a - 18. Solve -l = 5*w + a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11306 (base 7) to base 12.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/(-36) - (9 - 16))*6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76))**2 + 2)*3*6.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7411 - 7411. Let h = -8 - -9. Sort 9, w, h in increasing order.\nAnswer: w, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017129645 to 7 decimal places.\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 4. Let v(j) = -j**2 + 12*j - 10. Let b be v(12). What is the remainder when 11 is divided by r(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24747503 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1316 (base 8) to base 12\nAnswer: -4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -478 - -808. Suppose 0 = -4*b - b + 20. Suppose -b*q - 22 = -f. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*c + 21, -2*j - c = 10 - 32. Solve -7 - j = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1\/3, 3, -39\/3140 in decreasing order.\nAnswer: 3, -39\/3140, -1\/8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) -0.1 (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 873, 1747, 2623, 3501, 4381, 5263?\n\"Answer: p**2 + 871*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1457220 and 16293480.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**5 + 3*a**2 - a - 10 wrt a?\nAnswer: -100*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 1146379?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 + 332*w**2\/3 - 5224*w\/3 + 7680.\nAnswer: -4*(w - 64)*(w - 10)*(w - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-4) - -5)*(3399\/242 - 14)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17167 + 34324 + 5*n**2 - 17157 + 4*n**2 - 2*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2083\/104 + 135\/8. Let r = -1735\/3 + 584. What is the common denominator of p and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 6. Solve -2 = -2*s + x, 3*l + s - 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022677 rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47978 and 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 150, 0 in increasing order.\nAnswer: -47, 0, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 300*d - 4075. Determine f(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 874171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 813732855 divided by 4?\nAnswer: 813732855\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1216024*1.02.\nAnswer: -1240344.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 4*l**2 - 1. Let f be (-80)\/(-30)*(-3)\/2. Let m be o(f). Let d be -12001*4 + (-4)\/m. Round d to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = d - 4*d - 23, -5 = d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:38 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 2*t + 3*t**2. Let q(k) be the first derivative of -k**2 + 89. What is z(q(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -39*d**3 + 9*d**2 + 18*d - 5. Does 27 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130093*d**4 - 246*d**3 - 265706324*d wrt d.\nAnswer: 1561116*d**2 - 1476*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**8\/1680 - n**6\/90 - n**3\/6 - 5*n**2. Let y(a) be the first derivative of p(a). Find the third derivative of y(c) wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.89 * 1\nAnswer: 2.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4952051 is divided by 198082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1024)*1*5)\/(-6*(sqrt(8) - (sqrt(288) - sqrt(8))) + sqrt(32)\/(sqrt(16)\/sqrt(4))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87864 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 h = 3568 - -5834. Suppose -2*n - h = -8*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2288\/2574*(-18)\/(-4)*66\/3.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 93d91 (base 15) to base 11\nAnswer: 2a0252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/903 (b) -0.3 (c) -0.1 (d) 211\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 7*v - 3. Let y be l(5). Let s be (1\/1)\/(y\/35). Let o(u) = -u**3 + 6*u**2 - 3*u + 3. Let g be o(5). Solve g = s*b - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - 6 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 38*n = f - 22*n - 10, -11*f + 9*f + 90 = 7*f - n for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) 9\/5 (c) 0 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = -12. Let d be -10 + 1 + n\/(-1). Let h = d - -15. Calculate the greatest common factor of h and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 191 + 73 = 3*p, 3*p + 2*k - 260 = 0. Let m(g) = -10*g + 87 + g - p. What are the prime factors of m(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2312629 is divided by 1336.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 114940.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146 and 16.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823 = -215*c + 47*c - 2839 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k - 2*k)*(-6 + 2 + 3) - 4*k + 6*k - k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 11, 0.04, -4\/19, -4\/7?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 10:31 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Suppose -1 - 3 = 2*i, 0 = s + d*i - 10. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.7 + -32. Let k = 1.4 - 0.8. Let p = k - 3.6. Which is the third biggest value? (a) -2\/5 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Suppose -87 = -n*f + 23. What is the common denominator of -1*5*(-76)\/(-50) and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j - 1. Let h(u) = u + 11. Let l be h(-11). Suppose 4*t + t - v + 7 = l, 4*t = -5*v + 6. What are the prime factors of r(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2. Let o(h) = 20*h. Calculate o(q(x)).\nAnswer: -80*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 692*y + 2800. Calculate c(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*a + 2 = 84*a. Sort -2, 0, -3, a.\nAnswer: -3, -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtjxfta. Give prob of sequence faj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1262 - 1129 = 19*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13464 by -187.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = 0. Solve i = 3*u - 3*y - 6, -3*y - 4 = -2*u - 8*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29*(-26*40\/(-520))\/(-1*2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123186118 or 369558355\/3?\nAnswer: 369558355\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8395*s + 9205*s + 27540 = 0 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 6. Solve j + g + 0 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 665, 1343, 2021, 2699, 3377, 4055?\n\"Answer: 678*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:10 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905465?\nAnswer: 3, 5, 127031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*z - 2522*z + 327*z + 548*z.\nAnswer: -2922*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1607, 1605, 1603?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1759, -3439, -5109, -6763, -8395, -9999, -11569, -13099?\nAnswer: -14583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 16*b**2 - 14 + 0*b**3 - 3*b - 11. What is the tens digit of u(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.92 + -1.006. Let g = q - -21.086. Let a = -21.5 + g. What is the closest to 0.1 in 2\/5, -1, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6513309 and 95469?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2 (c) -4\/3 (d) 3008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by ((-2)\/(6\/(-21)))\/((-47)\/(-517)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1343200 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/((-42)\/(-70))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -2 - (66 - 72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 5. Let d(y) = -4. Let u(c) = -4*d(c) - 4*f(c). Let o(q) = q - 1. Let w(r) = -2*r - 6. Let k be w(8). Calculate k*o(i) + 6*u(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 49918\nAnswer: -998.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 75 and 76.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/9))\/v)\/v**(-3\/4))\/(((v*v**3)\/v*v)\/v)**(-2\/37) assuming v is positive.\nAnswer: v**(1363\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -117484, -117485, -117486?\n\"Answer: -u - 117483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11778 divided by 507.\nAnswer: 302\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 108*s + 5. Let x be t(0). Solve x = -6*f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**4 - 9666*b**2 + 22*b - 284?\nAnswer: -132*b**2 - 19332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v + 22 - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(224\/24)*1*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -9*z**3\/2 - 9*z**2 - 1194*z - 1. Calculate j(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -24, 0.4, -1\/8, 10, -1020, -0.1?\nAnswer: -1020","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/396561 and -61\/13136354?\nAnswer: 2403952782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2\/17 - 26*t\/17 - 14\/17 = 0. Calculate t.\nAnswer: -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313423033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 23. Let k(d) = -d - 37. Let z(l) = -2*l - 36. Let j(r) = 4*k(r) - 3*z(r). Let c be j(21). Calculate the greatest common divisor of v and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5ac36 - 8?\nAnswer: 5ac2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/21)\/(8\/(-28)). Suppose -5*r = -3*z + 10, k*z - 4*r - 3 = 3. Solve 4*t - 5*p + 8 = 0, -32 = t - z*t - 5*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/22 - 1656\/(-88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 2*l**2 + 0*l**2 + l**2 + 2 - 2 + (l + l - l)*(3*l + 0*l - l) + 2*l**2 + 3*l - 3*l - 3*l**2 + l**2 + 3*l**2 + 0*l**2 - 2*l**2 + l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/4 + 39*g**3\/2 - 540*g**2 + 12825*g\/2 - 111375\/4.\nAnswer: -(g - 33)*(g - 15)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -255\/7, -2\/7, 1\/18 in increasing order.\nAnswer: -255\/7, -2\/7, 1\/18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - w + 40. Suppose 2 = -9*u - 34. Let b(x) = -21*x**2 - 6*x + 279. Let s(q) = u*b(q) + 27*o(q). Find r, given that s(r) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 15\/(-9))\/(1\/(-3)). Let c = h + 22. Let f(j) = -j**3 + 6*j**2 + 15*j + 12. List the prime factors of f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (447*f - 1039*f + 3812*f + 1500*f + (1 - 3 + 0)*(f - 2*f + 0*f))*(2 + f**3 - 4*f**3 + 5*f**3) in the form u*f**2 + x*f + o*f**3 + g*f**4 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:14 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15959\/4 - 4013. Calculate the common denominator of (-1)\/11*59\/(-2) and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - 100 = 0. Suppose 12*g - 23 = t. Solve 5*j = -g*r - 25, 0*j + r = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9 - ((-7374731)\/364 - 6\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, 0.5, 14310852, -5, 5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2 + 104. Let f = g + 305\/9. Let m = 0 - 0. Is m less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*h = -t - 372, -5*t + 3*h = -924. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2631\/(-1754))\/((-6)\/(-14))*68\/(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3716 divided by -71?\nAnswer: 3716\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 128\/24 - (8 + (-120)\/18). Solve s*j = -8, 4*x - 5*j - 20 = -22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u + 48*u = 24. Suppose 4*k + 2*x = u*k - 96, -k = x - 38. Suppose -42*p = -k*p + 6. What is the lowest common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1719 * -69307\nAnswer: -11913.8733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 141974050 a multiple of 3154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-22) - -582*11\/6534.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-5) + (-3)\/(-6)*6. Let f(u) = -u - 9. Let h be f(-5). Let l be 3 - (w\/(-3) - h). Which is smaller: 3\/10 or l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120740, -120378, -120024, -119678, -119340, -119010?\n\"Answer: -4*p**2 + 374*p - 121110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)\/(u**(-4)\/u)*(u**(-1))**(4\/27))**(-7\/5) assuming u is positive.\nAnswer: u**(-3101\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 181 = -3*d, c + 0*c - 4*d - 85 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1385.848 from 0.1.\nAnswer: -1385.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 10, -489*o = d - 494*o + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose -r - m = 2. List the prime factors of r\/6*(4 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495*t**3 + 1 + 1362*t**3 - 3103*t**3 + 3 - 4.\nAnswer: -246*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**2*o**3 - 2*n**2*o**2 - 30541*n*o**2 - n - 12668*o**4 wrt o?\nAnswer: -18*n**2 - 304032*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n - 16*n - 4*k + 82, 5*n - 2*k = -76. Let d(f) = -f**2 - 19*f - 5. Give d(n).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 17*p**2 - 8*p - 36. Let i(d) = -16*d + 2. Let u be i(-1). What is the hundreds digit of v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.1 + 1243162625657\nAnswer: 1243162625633.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.63 + -68847.\nAnswer: -68844.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**3 - r**2. Let k(m) = -160*m**3 + 3*m**2 + 532*m. Let p(g) = k(g) + 3*t(g). What is the second derivative of p(a) wrt a?\nAnswer: -1068*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukkkukk. What is prob of picking 3 k?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/138099 and 8\/648003.\nAnswer: 8424039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 0 - (-6 - -7). What is the least common multiple of 6\/(-2 - s) - 1 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 22.536\nAnswer: -585.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 0.3 (c) 31906 (d) 2 (e) 0.1 (f) 0.2 (g) -6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 42399320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*n + 7867 - 12447 = 32431 + 3003 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.23258 hours in days?\nAnswer: 8.3013575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*i - 3*u - 11, 11 = -5*i + 4*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 7*y**2 + 9*y + 9. Let i be q(8). Suppose -4*g + i = 29. Is g <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 74.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 1280215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -12405063?\nAnswer: 12405063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/11 (b) 1 (c) 0.9 (d) -12.1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -1.1. Let a = -186 - -2420\/13. Is h bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + (-42)\/(-12). Let d be 24\/(-1 - -4) - m. Suppose d*u + 42 = 4*x + 18, -x + 4*u = -6. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 21. Let s(n) = -22*n + u*n - 6*n. Let c(z) = 17*z + 4. Let m(a) = -21*a - 5. Let t(d) = -5*c(d) - 4*m(d). Give s(t(h)).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 - -61. Let h = -0.187 - -60.187. Let w = h + g. What is the smallest value in 2\/15, 1\/7, w, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 30*f**2 - 40*f - 443. What is o(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = 2*j, -6*f = -f - 15. Let v(b) = b + 9. Determine v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5 - 3*b - 4*b**2 - 3 - 5. Let s(p) = 0*p + 4 - 2*p**2 + 6*p + 7*p**2 - 2*p. Let c(g) = -3*r(g) - 2*s(g). Determine c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24574 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:14 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-3))\/(-6 + 0). Let u(j) = j**2 + 5*j - 6. Let m be u(-6). Which is the biggest value? (a) m (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/(-80) + (-7)\/(35\/(-3)). What is the smallest value in -1\/3, -13, z?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19883 or 19884?\nAnswer: 19884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.3, 2569, -22\/7, -0.7 in decreasing order.\nAnswer: 2569, 0.3, 1\/4, -0.7, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164\/(-6593)*(-1197)\/(-6)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - f. Let m(p) = 2*p**2 - 4*p. Let c be m(3). Let b(g) = -11*g**3 + 3*g. Let v(x) = c*b(x) + 17*w(x). Find the second derivative of v(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 21. Let m = 903 - -383. Let n = m - 1230. What is the highest common factor of n and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 752735 + 753905 = 0 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5 = 5*q - 86, 2*f + 7*q - 141 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/34279040 and -73\/120?\nAnswer: 102837120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 37. Suppose r + 36 = -4*k, 45 = -k - m*k + 4*r. Let a = 43 + k. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-46)\/20)\/((-24)\/20). Let q = 2.7 + -2.615. Let u = 0.215 + q. What is the nearest to 1 in -3\/4, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -5. Suppose -3*q + 3 = -3*z + 5*z, -21 = -z + 5*q. What is the nearest to n in 0.4, z, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11786 and 2059?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-8 - -1 - (-624 - -593))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 0, 3*k - i + 7 = 3*i. Let h = k - -3. Suppose -x - h*d + 5 = d, -5 = -x + 5*d. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41290.3388 rounded to the nearest 100?\nAnswer: 41300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -87. Let j(m) = -v*m - 5 + 5 + 23*m. Let i(l) = -2*l**2. Calculate j(i(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 0 - 22\/(-8). Put 1\/7, -0.5, d, 2\/7 in ascending order.\nAnswer: -0.5, d, 1\/7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/(-5))\/(64\/(-1760)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3024237 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Find the first derivative of -4 - o*p**2 + 4*p**2 + 4*p**2 + 3 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*z - 1346*z + 680*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 837\/20 + -165\/4. Which is the nearest to h? (a) 3 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 28*s + 200. Let h be w(-14). Suppose 5*z - 3*z = 0. Solve h*t + 3*b - 7 = 0, 4*t = -z*b + 3*b + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxradha. What is prob of picking 1 a and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11177 and -110.3.\nAnswer: -1232823.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/20 - -3\/10. Let j = 0.01 - 3.01. Sort j, 0.4, a.\nAnswer: j, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-1)\/sqrt(2))\/(sqrt(84)\/(sqrt(70)\/sqrt(10))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25+-0.01889002819361\nAnswer: -25.01889002819361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3.1. Let i = -1.4 + x. Which is the closest to -7? (a) -0.1 (b) -5\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 407 + -405. What is the closest to c in -0.1, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9 - -6) + 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007251 to six dps.\nAnswer: -0.000725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 181)*(1*-2 + (15 - 14)). Which is greater: h or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/31 (b) -3622\/11 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 77 + 42 = -31. Which is the nearest to n? (a) -2 (b) 1\/3 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-42)*2\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22227.034 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.188921 to 3 dps.\nAnswer: -11.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -137134318, -137134329, -137134340, -137134351, -137134362, -137134373?\n\"Answer: -11*b - 137134307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 40 = 4*u. Let c(d) = -d**2 - 11*d + 6. Calculate the remainder when 117 is divided by c(u).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.606087 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, w: 7}. What is prob of picking 2 w and 1 y?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-156)*1\/7*12.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-8))\/(2\/(-52)). Suppose 0 = -h + 31 + t. Suppose -2*m = -m - h. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -277 + 14?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21889484 by 38674.\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veeeeeveeeve. Give prob of picking 1 v and 1 e.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 6*a - 12. Calculate k(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 8*d = 3*d - m - 82, 5*d + 121 = 42*m - 90 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/10 and (288\/(-176))\/(4 - (2 + -2))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 4)*(-327)\/(-436)*(-140)\/(-6). Suppose 3*y - 150 = -2*y. Calculate the greatest common divisor of y and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 15 = -8*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 13.71979?\nAnswer: 13.71979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*t + 579, 5*y + 1 = 11. Suppose 82 = 2*h + 4*x, 8*h + 4*x - t = 5*h. Let a = 168 + -135. Is a not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/7)\/(d*d\/(d*d\/(d\/(d\/(d\/d**(-36)))))*d))**(-8) assuming d is positive.\nAnswer: d**(2104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*l - 8*l + 12*l)*(2*l + 2*l - 6*l).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 2*w. Let s(y) = 2*y**2 + y - 1. Let g(r) = -3*m(r) - 2*s(r). Calculate the remainder when 22 is divided by g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/12 - 19*s**3\/6 - 7*s**2 - 46*s. Let v be c(-20). What is the least common multiple of v\/(-4)*(7 + -5) and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, f: 1, u: 1, r: 1}. Give prob of sequence ur.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 100\/(-60) + 11230\/6. Let s = b + -9577\/5. Which is greater: -44 or s?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643*s**2 - 138*s + 138*s.\nAnswer: -643*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(19 + 39\/(-2)) - -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 562, -1, -7 in decreasing order.\nAnswer: 562, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:46 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*j - 216, -3*j = 5*f - 90 - 72. Is j greater than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 48*y**2 - y - 2. Let p(s) = -95*s**2 + 3*s + 4. Determine -7*h(n) - 3*p(n).\nAnswer: -51*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -932646*c**2 - 638785?\nAnswer: -1865292*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -7*o**5\/5 - 28*o + 19. Differentiate j(t) wrt t.\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43979802?\nAnswer: 2, 3, 7329967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-45))\/((-2)\/40). Does 11 divide (w - -5)*(-1 + -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = -0*y + 5*w, 4 = 4*y - 2*w. Suppose 24 = 5*i - 5*b - 31, -y*b + 83 = 5*i. Solve 6*s = 3*s - i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02565, 2\/7, -0.3, -3\/20 in increasing order.\nAnswer: -0.3, -3\/20, 0.02565, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2742, -6, -4 in increasing order.\nAnswer: -2742, -6, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 1 + 53)*(-653 + 653 - 580*d + 142*d).\nAnswer: -9198*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 204)\/5 + -2. Find the second derivative of -39*z**3 - 71*z**2 + g*z + 71*z**2 wrt z.\nAnswer: -234*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - t = -100, -d = 3*t - 10 + 30. Let w = -17 - d. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -68*u - 6455. Calculate a(-95).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11.693 * 140\nAnswer: 1637.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 4*p**2 - 4*p + 1. Let z be (-27)\/6 + (-1)\/2. Does 23 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -48*n**2. Let x(i) = 6*i. Give j(x(o)).\nAnswer: -1728*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259883530*y**3 + 259883550*y**3 - 519767105*y**3.\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*h + 48, 723*w - 718*w - 81 = 8*h for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4157*0.3\nAnswer: 1247.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 1, -0.2, 3\/4, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 225*y**2 - 12. Let h be n(4). Let w = h - 1015. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -59*w**3 - 45*w**2 - 123. Let s(k) = -59*k**3 - 36*k**2 - 121. What is 4*l(n) - 5*s(n)?\nAnswer: 59*n**3 + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 + 130. Let r = 8.2 + p. Put 5, r, -7 in increasing order.\nAnswer: -7, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.1. Let t = -0.3 - k. Let r = -0.4 - t. Put 5, r, -5 in increasing order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -45833990.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*q - 4 = -7, -3*q = -3*o. Suppose -2*u + 4*u - 383 = r, -o*u = -5*r - 578. List the prime factors of u.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-12))\/(2\/4). Let g = -10 - -1. Let z = g - -10. Which is the closest to z? (a) l (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 5 (c) 5\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c*d*r**3 + 4*c*d + 380*c*r**3 - 7*c*r**2 - 9*c + 2*d*r**3 + 2*d*r**2 wrt r?\nAnswer: -18*c*d + 2280*c + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144595, 144595, 144599, 144607, 144619, 144635, 144655?\nAnswer: 144679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 equal to 18.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5331 is divided by 1409?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9510528 or 9510536?\nAnswer: 9510536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6893 is divided by 276?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*h + 9 - 74, -5*m - 10 = 0. Suppose 4*d - h*l = -16*l - 8, -5*d + 7 = 2*l. Suppose 2*b = -3*b + 20. Solve d*f = f + b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnnmnimmnimimhnn. What is prob of sequence nmmn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 + 332 = -3*b + 3*a + 170, -3*b + 16 = -2*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*i**3*y**2 + 2*d*i**3*y - 106*d*i**2*y**3 - 2384*d*i**2*y**2 - 4*d*y**3 - i**3*y**3 wrt y.\nAnswer: -636*d*i**2 - 24*d - 6*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 56 = -6*c. Let t = 32 - c. What is the first derivative of t + 4 - 9*g**2 + 2*g**2 + 5 wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 33*x**2 + x - 4. Let r = 85 - 82. Let d be t(r). Suppose d = 5*y - 124. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -42. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2168531, 4337072, 6505613?\nAnswer: 8674154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28474 and 578765.\nAnswer: 26623190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109.1 + -31.4. Let i = -65.55 - 1.45. Let p = i + q. Round p to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 94.9563 micrometers?\nAnswer: 0.0000000949563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2 + 815*t - 1 - 2 + 7 + 1 - 811*t. Let r(q) = 9*q + 6. Suppose -15 = 2*n + 3*n. Give n*r(s) + 7*g(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10) + 18\/4. Suppose 3*l = 0, p - 3*l + j*l - 8 = 0. Let z be ((-1)\/(-34))\/((-2)\/p). Which is the third smallest value? (a) 5\/2 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*b**2 + 51*b**2 - 7*b**4 - 64 + 26*b**4 with respect to b.\nAnswer: 76*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*p - 66 = 326*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1595 - -13.1595. Which is the closest to 0.1? (a) 4 (b) s (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*x**2)*(-2 - 1 + 1)*(1 + 0 - 2)*(-39 - 38 + 96)*(4 + 7 + 0)*(-1 - 3 + 2).\nAnswer: 1672*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 10*w**2 - 11*w + 8. Let p be z(-11). Let o(f) = 10*f**2 - 3*f**2 + 5*f - 3 - p*f**2. What is o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312228*p - 156115*p - 156112*p + 7*p**2.\nAnswer: 7*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0 + 1\/5*b**2 + 2\/5*b**3 + 0*b + 1\/5*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7379.754um to kilometers.\nAnswer: 0.000007379754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y**2 - 23*y**2 + 28*y**2 + 25*y**2.\nAnswer: 58*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((7\/(-105))\/((-4)\/(-10)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25080 and 33660?\nAnswer: 1279080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -12. What is the nearest to z in -2, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*d**2 + 19 - 30 + 163*d**2 + 3*d**3 + d**3 to the form o*d + m + y*d**2 + f*d**3 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - (sqrt(612)*1 + -4 - sqrt(612))) + -4)*5 - (sqrt(612) + ((sqrt(612) - (sqrt(612) + 2*sqrt(612))) + 2 - sqrt(612)) + 3)*-3)**2.\nAnswer: -180*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -614.1117 - -0.3117. Round d to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191606249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129506 and 221.\nAnswer: 129506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**3 + 0*y**3 + y**3)*(3*y - 7 + 7 + 5*y - 4*y - 4*y + (-2 + 4 + 0)*(0*y + 0*y - 3*y)) in the form h*y + o*y**3 + r*y**4 + v + j*y**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*s**2 + 91*s**2 - 197*s**2 - 43*s**2.\nAnswer: -243*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 20503.\nAnswer: 10251.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 5*v**2 + 201 - 201 + v**2. Let w be (2\/1)\/1 - -2. Is k(w) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*(sqrt(112) - (4 + -2 + sqrt(112) + sqrt(112)))*3)*-1)**2.\nAnswer: 768*sqrt(7) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*2*1\/(-2). Suppose m + 14 = 2*c. Let q(v) = -v**3 + 11*v**2 + 4*v + 11. Does 19 divide q(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 833*q**2 - 4*q - 10. Let a(n) = -n**2 - n - 2. What is 4*a(u) - d(u)?\nAnswer: -837*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbffbbf. What is prob of picking 1 b and 3 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.05 - -9.45. Round p to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9*h - 13 = 4*h, 3*x + 5*h - 19 = 0. Suppose x*q - 57 = 6*q. What are the prime factors of -2 + 1 + -1 - q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 837 and 651.\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-20)*(-2208)\/966.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -791 in -5, 1, 0.01787, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = -32*a + 660. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -243*m**2 - 10455*m - 258 = 0.\nAnswer: -43, -2\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b = -33*b - 48 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53248 is divided by 53205?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v - 3*v)*(30*v - 7 + 3*v + 5).\nAnswer: -33*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*u + 2 - 23, -g - 2*u = 4. Solve -2*w = 2 + 2, g = 4*c + 3*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s. Let u be n(3). Suppose 24 = 6*f - u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 12:36 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33748 + -2748. What is a rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326473, 652816, 979159?\nAnswer: 1305502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-6))\/(j**(-1\/12)*j)*(j**(-8)\/j)**43 assuming j is positive.\nAnswer: j**(-4571\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -86. Let u = 17 + 114. Let h = u + m. What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*g - 2*g + 3*k, -5*g = -3*k - 50. Let z = 22 - 2. Let j = -17 + z. Solve -2*w = -g - j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.635 to 1 dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 104, -2, -111, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - y - 10. Let h = -65 + 69. What is the remainder when o(3) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11) + (-35 - -20 - -32 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2012121211022111?\nAnswer: 2012121211022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcr when three letters picked without replacement from {r: 3, c: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*v**2 - 7*v**2 - 2*v**3 + 23*v**2)*(52 + 2*v + 14 - 99) as k*v**4 + h*v + x + b*v**3 + w*v**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - 17*i - 40. Determine c(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 195880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537281203?\nAnswer: 11831, 45413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 2. Let w be n(-6). Let y be (-2)\/w*-4 + 3. Solve 2*v**4 - 3*v**5 + 2*v**5 - v**y = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -2. Suppose 4*c - 3*s = 39, m + 15 = 2*c - 4*s. What is the remainder when 23 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.338 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**2 - 10*t**2 + 8*t**2)*(2*t - 4*t + 0*t).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111925, -111923, -111921, -111919, -111917?\nAnswer: -111915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 1. Let u(y) = 6 + y - 6*y + y**2 - y + 0*y. Let o be u(5). Let m be p(o). Is m less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5\/2, -0.4.\nAnswer: -5\/2, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:41 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6141, 15277, 27451, 42669, 60937, 82261?\n\"Answer: x**3 + 1513*x**2 + 4590*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = 45*s - 2*n - 55, 0*s + 4*s + 144 = 11*n for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 2*z**2 - 2*z - 2. Let q be r(-2). Suppose 5*g - 65 = -5*y, q*g + y - 39 = -g. Let t = g - 1. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6291, -6286, -6277, -6264?\n\"Answer: 2*d**2 - d - 6292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -5809 + 6601. Let v(y) = -y**2 - 29*y - 45. Let p be v(-27). Calculate the highest common divisor of p and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.053.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -683148*k. Let h(b) = b + 58. Give y(h(c)).\nAnswer: -683148*c - 39622584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhw when three letters picked without replacement from {b: 4, t: 1, i: 1, w: 3, h: 4, s: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 2:06 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 5*x + 8130, 0 = 5*x. Let f = j + -1269. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -307, 3951 in descending order.\nAnswer: 3951, 4, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -298*p + 299*p, 0 = 3*c - p - 12. Let l(b) = b**3 - 11*b**2 + 11*b - 10. Let t be l(10). Let j be -1 + t + 9\/6. Sort c, -3, j.\nAnswer: -3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 0.47\nAnswer: 12.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -348\/11 - -769\/33. Let y be -1 - 134*(-7)\/136. Let z = y - -74\/17. What is the common denominator of b and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) -0.3 (b) 25 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -50, -80, -110, -140, -170?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:14 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-2 - -7) + 0 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-49 - (-20 - 43))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 3*m**2 + m + (m - m + 3*m)*(m - m + 2*m) + 4*m**2 - 2*m**2 + 3*m**2 + 3 + 3*m**2 - 3.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-99))\/(3\/27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 + 0.9. Let d = 41.4 - c. Let z = d - 36.867. Round z to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316*p - 14040 = 236*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - ((-25)\/(-5) + -6). Suppose 2*r + 18 = b*r. Suppose -3*l - 4*v = -9 - 68, 4*v = r*l - 61. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143015911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/31 (b) -15 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqssqqs. What is prob of sequence qs?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(118\/84 - 56\/98)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqfqqqqfrrqqqqff. What is prob of sequence rrq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 399\/4*f - 306 + 3\/4*f**2.\nAnswer: 3*(f - 3)*(f + 136)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(52\/39*-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 5*g**2 + 6*g + 6. Let f be j(-4). Let h = 3 - f. Let n = -2 + h. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 1 = 6*y + 52, -4*y = 4*z - 16 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + ((-2)\/2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13504?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*p + 4 = p, 4*p - 16 = 4*s. Suppose s = 2*n + 4*y - 300004, 0*y = 5*n + 2*y - 750002. What is n rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 11*s - 12. Let z be 174\/(-15) - (-8)\/(-20). Let m be x(z). Solve 2*q - 2*n + 2 = m, 4*n - n = 2*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-302)\/1359 + 731\/(-153).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**3 - 3*c**3 + 2*c**3)*(0 - 2 + 3) - c**3 + 4*c**3 - c**3 + (4 - 4 - c**2)*(3 + c - 3).\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-10))\/(1\/8). Let c(z) be the first derivative of 0*z + 0*z**5 + 0*z**y - z**6 + 0*z**3 + 3 + 3\/2*z**2. Find the second derivative of c(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**7\/42 + 29*y**6\/15 - 997*y**5\/20 + 1132*y**4\/3 - 3146*y**3\/3 + 1352*y**2 + 3*y - 3. Find p, given that k(p) = 0.\nAnswer: 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - z + 251 = 0, 4*a - z - 487 = 2*z. Suppose a = 5*c - 166. Calculate the remainder when c is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370524891?\nAnswer: 3, 11, 2411, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a3 + a74709?\nAnswer: a75001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 6*p + 60. Suppose -2*c = -8, 3*c - 16 + p = 4*f. Which is greater: 13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2\/2 - 204823110*z + 4195250639007210 = 0.\nAnswer: 40964622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -9*h + 15148. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j + 331*j**2 + 323*j**2 - 658*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d + 169. Determine w(18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 304180722 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c - 3*h, c - 7 = 2*h - 1. Let l be c\/(-63)*3 + (-321)\/(-21). Calculate the highest common divisor of l and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(4 + sqrt(832) + 2 - ((1*sqrt(832) - sqrt(832)) + -3)))**2 + 5.\nAnswer: 5184*sqrt(13) + 32873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:20 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -3 + 1 + -172 + 4. Which is greater: -170 or o?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-1 + -2 + ((0 + sqrt(175))*-5 - sqrt(175)) + sqrt(175))**2.\nAnswer: -21916 - 750*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3852090, -7704173, -11556256, -15408339?\n\"Answer: -3852083*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2338763700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 1:08 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + r - 12. Suppose -204 = -2*p - 4*p. Calculate the remainder when p is divided by k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 2*g**2 - 6*g - 6. Let s = -30 + 36. Let p(n) = -n**3 + 2*n**2 - 5*n - 5. Give s*p(q) - 5*i(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1052*t**2 - 6*t + 16?\nAnswer: 2104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) -7 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17109, 17009, 16845, 16617, 16325, 15969?\nAnswer: 15549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 31*t - 3525. Let v be r(113). Let z(y) = -y + 5. Calculate z(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4598, -1\/5, -12525?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25639446 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 - 27. Let g = 154 - b. What is the second smallest value in g, 1\/2, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/84747 and -85\/2?\nAnswer: 169494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 8. Let b be l(7). Which is bigger: -3\/19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 7. Suppose -9 = -3*t, 0*o + 4*t = 3*o + 54. Let d = o + 20. Does 11 divide n(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 + 26*g**2\/9 + 28*g\/9.\nAnswer: -2*g*(g - 14)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2023 + 2278. Calculate the greatest common divisor of l and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38469*b**3*g**2 - 3*b**2*g + 14*b**2 + 127*g**2 wrt b?\nAnswer: -230814*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 47*b + 246. Determine u(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.06, -2523, 26\/5, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/45 and -59\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234011 - -40384.\nAnswer: -193627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895*c**3 + 34*c + 330*c**3 - 30*c - 661*c**3.\nAnswer: -1226*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/7)\/(u*u\/(((u*u\/(u*u*u*u**(-8))*u)\/u)\/u)))\/(u*u**(1\/9)*u*u**(-5)\/u*u) assuming u is positive.\nAnswer: u**(380\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80441, 160880, 241325, 321776?\nAnswer: 402233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 4*t + 2. Let w(p) = -p**3 + 10*p**2 + 10*p + 14. Suppose -38 = -4*r - 2*l, 5*r + l - 46 = 6. Let n be w(r). What is m(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -130?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1740 by -3.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s - 3. Give y(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let h(n) be the third derivative of 11*n**4\/12 + 15*n**3\/2 - 16*n**2 + 27. Calculate m(h(k)).\nAnswer: 968*k**2 + 3960*k + 4050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*1 - sqrt(264))\/sqrt(11))\/(sqrt(12) + (sqrt(12) - sqrt(5808)\/sqrt(4)) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0351 and 50301?\nAnswer: 1765.5651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.134854704*5.\nAnswer: -0.67427352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (379 + -3)\/(-272 + 268)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -123 times -36516\nAnswer: 4491468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 2*u = -9*y - 10, 4*y - 2*u = 70. What is the third derivative of 3*j + 39*j**2 - 21*j - 14*j**4 + y*j + 4*j**6 wrt j?\nAnswer: 480*j**3 - 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 45*w - 1 + 2.\nAnswer: 45*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*s = -2, 0 = 2*h + s - 2*s + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-31 + 168\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmm. What is prob of picking 3 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123699353 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8174774304.047 - -8171342365.086937. Let v = -3432091.96 - q. Let s = 153 + v. What is s rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6947 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -179e8 (base 16) in base 3?\nAnswer: -11220201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 82\/43?\nAnswer: 82\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71152 = -4*q - 71104 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from gaaaggaaggaigig.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (2 - 3 - -1) + 23. Which is greater: m or 20?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*o**5 - 9*l**3*o**4 - l**3 + 3*l*o**2 - 9*o**2 wrt o?\nAnswer: 120*l**3*o**2 - 216*l**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Suppose -3*d = -m - 9, -2*d - 1 = m - 2. Let s be 1\/d*-1*-28. Solve 2*a = 2*r + 12, -3*r = l*a + a - s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 10*k**2 - 18*k - 85. Let c be y(-10). Let t be -57*-4*(-1)\/(-6). Calculate the greatest common divisor of c and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/((-1848)\/(-189))*4\/10?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/6 - -3)*3\/2. Let f be ((-40)\/(-28))\/(d\/7). Solve -f*y + m - 7 - 2 = 0, 0 = 2*y - m + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*a - 12, -2*l - 7 = 4*a + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3628710 is divided by 6683?\nAnswer: 6524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {g: 4, m: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*o**3 - 32*o**2 + o.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1357*n - 4393*n + 182*n - 814*n in the form z + h*n and give h.\nAnswer: -6382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p + 111*p - 185*p + 43*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 5)*(2 + r**2 - 2) + r**2 - 2*r**2 + 3*r**2 + (-2 + 2 + 2*r**2)*(-1 - 3 - 2) to f*r**2 + o*r + y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/42 and -58\/273?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -1\/10, 152?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 0.5 (c) -1\/2 (d) -3\/2 (e) -15 (f) -2\/153 (g) -2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22064897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*t**3 - 2*t - t + 0*t)*(3 + 1 - 6).\nAnswer: 4*t**3 + 6*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 694 + -4843\/7. Let r be (-2)\/(-4) + 48\/32. Suppose -y*z**5 + 0 + 9\/7*z**4 + 3*z**3 - 9\/7*z**r - 6\/7*z = 0. Calculate z.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 7*s**2 + 4*s - 20. Let r be i(6). List the prime factors of (1896\/32)\/((-6)\/r).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.58 - -5.08. Let v = x - 4.7. What is the nearest to 4 in v, -3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus 1939?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + (0 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.908 minus 0.102209511?\nAnswer: -3.010209511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -4. Solve -5*x + p - 9 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 5*o**3 + o. Let x(b) = 20*b - 6. Let s(h) = -17*h + 5. Let u(i) = 6*s(i) + 5*x(i). What is u(r(g))?\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*x**2 + 92641*x - 13101133 wrt x?\nAnswer: 82*x + 92641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65235916?\nAnswer: 2, 16308979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*c - 97*c - 116620 = 0. What is the lowest common multiple of c and 24?\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 3, e: 2, q: 6}. Give prob of picking 2 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/3*3\/(-2). Let p(z) = -z**3 + z + 1. Let u(c) = -6*c**4 - 4*c**3 + 4*c + 2. Let d(s) = q*p(s) - u(s). Differentiate d(j) with respect to j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49*(-54)\/(-10245312)*88?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21\/(-2))\/3*(-11 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*l - 268459 + 269551 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581476 is divided by 404.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 29*q - 19. Let z be r(2). Suppose -26 = 13*l + z. Let s(v) = -v**3 + 4*v**2 + 3*v - 7. Is s(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 2112937, -1.\nAnswer: -1, 47, 2112937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 times -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6 = 2*g, -3*q - 9 = -g - 2*q. Suppose -2*r = r. Suppose 3*k + 63 = 2*n, -g*n + 0*k - k + 149 = r. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - j - 9, 4*o + 5*j + 17 = -0*o. Let q be (1 + 3)*(119\/4)\/7. Solve -o*z - 4*c - 22 = 6, -2*z + 5*c = -q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 1. Does 2 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.905, 2\/13, -1\/14 in descending order.\nAnswer: 2\/13, -1\/14, -0.905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/308*63*(-300)\/135?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**3*p - 3*h**3*v + 242*h**3 + 293*h**2*p*v - h*p wrt v?\nAnswer: -3*h**3 + 293*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12606 + -12602. Solve -4*c - 4*f + 4 = 0, v*f = -5*c - 0 + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:35 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + 3.2. Let j = 12 - 6. Let z = -5.7 + j. Sort z, 1\/3, b.\nAnswer: z, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) - 1 - 6. Let a be (80\/(-12))\/(l\/42). Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11449, 22898, 34347?\nAnswer: 45796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244636*-1.\nAnswer: 244636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14422 (base 9) to base 6\nAnswer: 113245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -1147, -3038, -5807, -9454, -13979?\nAnswer: -19382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*u, -16 = -2*u - w - 1. What is the remainder when 27 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoohveovoooohvov. What is prob of sequence oo?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/(-2)*24\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)\/w)**(-3\/29)\/(w**(-1\/3))**(-7\/5))\/((w**(-1\/2)*w)**(-46)*w**(3\/4)\/(w\/w**7)) assuming w is positive.\nAnswer: w**(27763\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6019 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**4\/24 + h**3\/2 + 3*h**2. Let n be z(0). Suppose n*u - 5 = 4*u, -u = 3*g - 94. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + l**2 + 3*l + (12*l - 3 + 1 - 10*l)*(l - 2*l + 4*l).\nAnswer: 7*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(11)*1 - sqrt(11)) + sqrt(11) - ((sqrt(11) + -5 + 3)**2 - sqrt(11)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = -340. Let a = i + -681\/8. Let p = 1.79 + -2.79. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 3) + -8 - 19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13024 + 10?\nAnswer: 13034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (228 + 0)*20\/80*1\/(-3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8091*o + 52944589 - 52944589 to z*o + c and give z.\nAnswer: 8091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c + 5*l, 2*l - 8 = -c + 5*c. Let i be c*(-9 - 104\/(-16)). Solve z + 2 = -2*q + i*q, q + 6 = -3*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -10. Suppose 4 = -t*y + 2*h + 14, -5*y - 2*h = -30. Let c(u) = u**2 - 2*u - 5. Let j be c(y). Solve -20 = -f - j*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-5 + 2) - -3. What is the third derivative of b**2 + x*b**3 + 0*b**2 - 4*b**3 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11818 - 319088\/27. What is the nearest to 1\/3 in f, -0.4, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 36 + 29 + 79 - 4*z + 44 to y*z + p and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.9936 - -45. What is i rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:38 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {l: 3, p: 1, x: 7, g: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 3*k**2 - 6*k - 8.\nAnswer: (k - 2)*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 + 188. Find the common denominator of 35\/11 and 2\/g*(-279)\/747.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 26*t + 3*t**3 - 27*t - 2*t**3 + 3. Let k be x(0). Suppose -6*n + k = -15. Solve 0 = -n*y + 4*r - 3 + 4, -5*y = -5*r - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233 (base 7) in base 11?\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7307 is divided by 3568?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-20)\/(-2025)*(456\/(-32))\/(-19)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5760 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 818037 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 18480 = -14*l. Is 84 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -805029164 by -3.\nAnswer: 805029164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 12*h**3 - 2*h + 1. Let p be u(1). Suppose -6*a + p*a = 105. Let g = a + -19. Solve -4*r = 4*v + 20, -4*r - 3*v - 20 = g*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -345543*c**3 - 5*c**2 + 2*c + 78398 wrt c.\nAnswer: -2073258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2586541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16291 and 19253.\nAnswer: 211783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 86 - (3 + 2 + -4). Let h = -50 + -81. Let p = j - h. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0*f + 0*f**3 + 0 + 1\/105*f**7 + 0*f**5 + 1\/12*f**4 - 3*f**2 + 0*f**6. What is the second derivative of p(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 14) to base 2.\nAnswer: -11100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Let g = -13.933 + 13.933. Let z be (9\/(-6))\/(3\/3). What is the nearest to g in -0.4, z, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 18, -0.2, 5, -0.4 in decreasing order.\nAnswer: 18, 5, 0.22, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1993846 by 1993846.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 - -448. What is the remainder when 76 is divided by 12\/(-9)*u\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**2\/3 + 14858855*q + 44576570\/3 = 0?\nAnswer: -1, 8915314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.14. Let m = k - -0.16. Let u be (3 + -1 + -1)\/(-2). Which is the nearest to 1? (a) u (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7329703769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 87*c**2 + 88*c + 134. Calculate the remainder when 259 is divided by b(88).\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 + -25?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-41)\/(-2) + 2\/(-4). Let v = -20 + s. Solve 5*b - 15 - 5 = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655068 divided by 6.\nAnswer: -109178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 8*k + 11. Let u(d) = -23*d + 9*d - 10*d**2 - 26*d - 56. Let f(j) = -16*b(j) - 3*u(j). Determine p, given that f(p) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4*x**2 - 20*x - 2*x**2 + 20*x in the form d + s*x**2 + u*x and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*b + 52*b - 43*b - 316550 = 0. Does 53 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*i - 56*i, 21 = -3*y - 5*i. Put 0.1, y, -2\/11, 4, -0.3 in decreasing order.\nAnswer: 4, 0.1, -2\/11, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17203, 16947, 16535, 15967?\n\"Answer: -78*u**2 - 22*u + 17303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8 + 13 = 0, -2*v - t + 3*t - 7 = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h - 14*h + 4*h + h + 2*h - 5*h + (0 - 1 - 1)*(h + h + 0*h) - 3*h + 2*h + 2*h to the form t*h + n and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731423711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 + 276848*a - 4790300944 = 0. What is a?\nAnswer: 34606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/(h\/h**(-1\/2)*h))**35 assuming h is positive.\nAnswer: h**(-525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k - 777027. Let x(v) = -3*v + 111004. Let f(w) = -27*x(w) - 4*z(w). Let d be (-84)\/12 + 14\/2. Let h be f(d). Round h to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 1, n: 2, s: 1, q: 1, e: 1}. What is prob of sequence sln?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:46 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209602 + 244.0887.\nAnswer: 209846.0887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g + 10. Let v(i) = -4*i - 5. Let l(b) = 3*a(b) + 5*v(b). Let f be l(-3). Suppose -3*k = f - 11. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + 3 + (-7 - (4 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 7*q - 182 - 13 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 4*l - 9*l)*(-4*l**2 - 14*l**2 - 13*l**2).\nAnswer: 186*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -203*x + 9. Let s(u) = 370*u - 16. Let p(a) = -7*n(a) - 4*s(a). Let g(r) = -5*r**2. Calculate p(g(t)).\nAnswer: 295*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*i + 287 + 316 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -24*g**3 + 2*g**2 - g - 1. Let v(b) = -b**3 + 1. Give -p(u) - 3*v(u).\nAnswer: 27*u**3 - 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r. Let u(o) be the second derivative of 0*o**3 + 0*o**2 - 1\/4*o**4 + 24*o + 0. Determine w(u(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 20*r**2 + 21*r + 77. Calculate x(-21).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**3 + 32*m**2 - 40*m - 44. Let q(t) = 3*t**3 + 30*t**2 - 39*t - 46. Let j(g) = -5*a(g) + 6*q(g). Factor j(z).\nAnswer: -2*(z - 7)*(z - 4)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13802849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 7\/4*r**4 + 2*r**2 + 0*r - 3 + 0*r**3. What is the second derivative of v(j) wrt j?\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*o + 37*o + 35*o - 105*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -222417 divided by -74139\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-20)\/(-16))*(-1)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48\/7 in -95, 0.4, -24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 12 + -46 + 27?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-6)\/559*59384\/(-3426))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 1, z: 3, h: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, 2, -2\/9, -3, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 plus -143180505.7457?\nAnswer: -143180552.7457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9 + 7. Let j = -61 - -66. What is the second smallest value in j, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) - 22\/(-24). Suppose -5*v + 374 = -h, 8*h = -4*v + 3*h + 305. Let t = v + -153\/2. Which is the closest to -1\/4? (a) x (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0 + 0)*(4 + 3 - 5*x**2 - 6).\nAnswer: -10*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15478 = -974*j + 756*j for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -176, 78, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 470685504.\nAnswer: 470685504.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 902 + -891. Put 2, 3\/2, -2\/7, 3, q in decreasing order.\nAnswer: q, 3, 2, 3\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90146.15816 to the nearest one thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10790 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -4841.\nAnswer: 33887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5824 + 6344. Are k and 0.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735395424 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*h**4\/8 - 21*h**3\/2 + 9*h**2\/8.\nAnswer: 3*h**2*(h - 3)*(9*h - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48420 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -187841 divided by -3\nAnswer: 187841\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 592 - 528. Calculate the greatest common factor of 64 and k.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let s = 29 - 12. Suppose 4*j - 7 = s. Which is the second biggest value? (a) x (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18*(-9)\/(-6). Which is the closest to 1? (a) m (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-3 + 1)) + 81. Let z = -71 + j. What is the greatest common divisor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4436370 and 2300340?\nAnswer: 62109180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212210531120 + 2?\nAnswer: 212210531122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 141572\nAnswer: -141578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -149 - -108 - (-87 - -31)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 367, 546, 721, 892, 1059?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 + 60. Let z be l\/(-13) - -1*1. Which is the closest to 0? (a) z (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 4216983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27990 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 5. Let v be p(-3). Let c = -4.933 - -5.233. What is the closest to c in 0.5, 1\/4, 0, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*z = 18, 0 = -4*r - 120*z + 133*z + 66 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9000 is divided by 120.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 6*d**2 + 7*d + 9. Let f be q(-7). Suppose -i - 2*s + 1 = -f, 3*i = s + 16. Which is bigger: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-4)*(-1)\/2*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:38 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11630 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlqjscd. What is prob of sequence lcs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.8 - 383.76. Let k = h - -436. Let g = k + -7. Round g to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/14 and -67\/386.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + 3 - (4 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -4 - 5*-1. Suppose 18 = p*w - w. What is the remainder when 33 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 9*w - 7. Let j be v(8). Let x = 29 + j. What is the tens digit of (-21)\/x + (-66)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtwttgwtgwtwt. What is prob of picking 3 t and 1 g?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -18532?\nAnswer: 1853a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5061 - -11009. Suppose -56748 + k = -2*j. What is j rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 319307803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.76 - -2.77. Let m = y + -0.01. Let a = m - -1. What is the second smallest value in 2, 3\/2, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1589 + -1523.9. Let j = -98 + z. Round j to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.3 less than -664?\nAnswer: -1270.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b - 45 = 66*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q**(7\/3)*(q**(-1\/3)\/q*q)**(-6\/19) assuming q is positive.\nAnswer: q**(538\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:28 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 14*p**2 - 12*p + 18. Let t be i(-13). Suppose -409 = j - r, -t*j + 2*r = -r + 2049. Let k = -2885\/7 - j. Is k >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z - 1. Let q(g) = -7*g**2 - 8*g + 2. Determine -q(k) - 6*r(k).\nAnswer: k**2 + 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l + 1. Let q = -4 - -8. Suppose m + 5 = -q*m. What is the units digit of t(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 565 = 3*p, 18 = -4*p - 2. Let r = b + -268. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*5\/(-9) - -2)\/(7\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*h = -96903, -8*h = 2*m - 5*h - 64595. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11674296 divided by -1945716\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1410 (base 5) to base 13\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*z - 40, 33*i - 20 = 29*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((155\/(-20))\/1 + 8)*1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -12\/5, 4 in increasing order.\nAnswer: -12\/5, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4614*(1 + (-5)\/3). Let m = -4329868 + 69327125\/16. Let z = f - m. Find the common denominator of z and -21\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*x - 32 + 52, -x - 4*g = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/676, -15, -9\/17, 0.5 in decreasing order.\nAnswer: 0.5, -1\/676, -9\/17, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23285.\nAnswer: 5, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5570.0028 - 5525. Let h = -89 + 44. Let d = g + h. Round d to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293300 is divided by 41713?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n - 33. What is the smallest common multiple of n and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4932534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -125525?\nAnswer: -125545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -997, 0.97, -3?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3959907?\nAnswer: 3, 7, 101, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 11. Suppose 0 = -p*n + n - 49000000. What is n rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204*n**2 - 6*n + 204*n**2 + 18*n**5 wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26406 and 274428.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**30)\/(d**(-39)\/d)*(d**(-1\/7)*d)\/d*d\/d**(1\/19) assuming d is positive.\nAnswer: d**(9550\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 49 - 49 + 9*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -6 (b) -2 (c) -1\/683 (d) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89496 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + (sqrt(475)*2)**2 + -2.\nAnswer: 5*sqrt(19) + 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-165)\/(-220)*(-4)\/(-54)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from swwws.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -67 - (-2)\/4*-4. Let a = 101 + x. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 55 = -4*v - v, 5*v = 55 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-16)\/(-12)) - 42\/(-4). Suppose -h*o - 9 + 27 = 0. Find z, given that 1\/8*z**3 + 1\/8 + 3\/8*z + 3\/8*z**o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7322069155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 50231 - 100831 + 48032 as d + r*b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 120.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132541463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -7.95, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 8993.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643610?\nAnswer: 2, 5, 167, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*i - 0*b + b, -4*b = -2*i + 30. Let v = 37 - i. What is the highest common divisor of v and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - -2. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 2*c. Let z be (-42)\/(-8) - c\/4. Let o = -1 + 7. Is o greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -582601\/5 in 7, -2, -2\/11, -1, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7, 0.1, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-13 + 2*w**3 + 13) + w - w + 2*w**3 + (1 + 2 - 1)*(0*w**3 - w**3 + 2*w**3).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 25281?\nAnswer: 151686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2167*v**4\/2 - 109*v**3\/3 + 5*v - 8048. What is the third derivative of g(p) wrt p?\nAnswer: 26004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 10:54 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10 + 29 - 16*n + 15*n. Let w be h(15). Let q(b) = -w*b**2 - 11 + 11 + 11*b**2. Let u(v) = v**2. What is q(u(a))?\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:39 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1 = -2*n - 4, -4*t = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 7:39 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - p**2 - p**2)*(p + 9*p - 4*p)*(4*p**2 - 5*p**2 - p**2).\nAnswer: 36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026217 times 797?\nAnswer: -20.894949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 + 6*a**2 - 6*a. Let f(j) = 16*j**3 - 29*j**2 + 29*j + 1. Let z(m) = 2*f(m) + 11*x(m). Let n(w) = 2*w - 3. Let y be n(5). Calculate z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 36*n**2 + 13*n + 45. What is the thousands digit of k(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from vmqxmmmczmmmmq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74935714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 5*f**2 + 6*f + 46. Determine y(-8).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816423*g - 816400*g - 8*g**3 + 1632823*g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 10458?\nAnswer: -1\/10458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + j + 7. Let c be m(0). Factor 0*b + c*b - b**2 - 8*b.\nAnswer: -b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v + 4. Let k be n(3). Let f = -1 + k. Let x = f + 1. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 8*c + 20. Let n = -5376 - -5384. Determine r(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465359759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-30) - 7956\/1080)*8\/(-3). Suppose -w + 10 = 4*k, -4*w + 0*k = -5*k + 23. Which is bigger: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2779 divided by 5.\nAnswer: 2779\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 8.9562, -1\/3 in descending order.\nAnswer: 8.9562, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 751085571 rounded to the nearest 100000?\nAnswer: 751100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.32977 centuries to years.\nAnswer: 7532.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p + 5. Calculate j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 1 = -19*p + a, -3*p + 2*a = -2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 4. Suppose 0*u = -l - 2*u + n, -4*l + 4*u = -4. Let f be (0 - -2 - l) + -1. Solve 0*r - r = 3*t + 17, f = -t + 5*r + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**2*x - 19074*r**2 + 1469*r*x + 346*x + 26 with respect to x.\nAnswer: -3*r**2 + 1469*r + 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 35. Let u = c - 39. Let f = 23 + u. Sort f, -2, -0.4 in descending order.\nAnswer: f, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 64*k**2 - 5*k - 297. What is p(-64)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 649874640 by -6371320.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*k - 2*k. Let v be (30\/18)\/(1\/3). Suppose -v*y + k*i - i = -25, y - 22 = -3*i. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 188990.466491.\nAnswer: 188990.966491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggkggggpu. Give prob of sequence kg.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 - -28. Let x = p + 292. What are the prime factors of x?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1450249 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 7*p. Let f(j) be the third derivative of -j**5\/10 - 13*j**4\/24 + j**3\/6 + 20*j**2 + 2*j + 3. What is 4*f(a) + 7*y(a)?\nAnswer: -3*a**2 - 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -59*m**3 + 2*m**2 - m - 2. Let i be r(-1). Let b = i + -34. Let q(c) = c**2 + 3*c + 10. What is the lowest common multiple of b and q(-5)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let w be 1\/(p - (-339)\/(-114)). Let h = 60 - w. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4*(-120)\/(-15). Suppose -4*u = n + a - 3, -3*u = 5*n. Let m(y) = y**2. Let o(d) = -5*d**2 - 1. Calculate n*m(l) + o(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*r - 685 + 685)*(1 - 3 - 1) to the form y*r + j and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 - 75 + 105 + 4100*r**5 + (0*r**5 - 3*r**5 + 2*r**5)*(3 - 3 - 1).\nAnswer: 4101*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 21*x**2 - 23*x + 764. Let y be g(22). Calculate the highest common factor of y and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 1, n: 4}. Give prob of sequence bnrr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274 + -281. Let z be 273\/35 + 1 + o. Let y = 3 + -1. Do z and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/5)*(r\/r**1)\/r)**(1\/7))**(-19))**(11\/2) assuming r is positive.\nAnswer: r**(209\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292781 is divided by 368.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 15. Suppose -3*r - 2 - 4 = 0. Let b(u) = u + 11 + 2*u - 2*u. Let q(w) = -1. Calculate c*q(z) + r*b(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1875, 3772, 5625, 7416, 9127, 10740, 12237?\nAnswer: 13600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2*v - 3*j**2 + 22*j*v + 194*j + 39*v**2 wrt v?\nAnswer: j**2 + 22*j + 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -100*z - 1. Let m = -2 - -1. Let i be w(m). Suppose -2*o + 5*o = i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 897323*y**4 + 985133*y**2 wrt y.\nAnswer: 21535752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 140970 + 8370. What are the prime factors of z?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 254, 346, 414?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 484 and 258.\nAnswer: 62436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**7\/42 - l**5\/15 + 7*l**2\/2 - 9*l. Let g(v) be the first derivative of h(v). Find the third derivative of g(c) wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 986163 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*z = 664, -19*z = 3*j - 20*z - 679. Find the second derivative of j*l + l**2 - 4*l + 4*l**2 - 60*l**2 wrt l.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (514 - 514 - 12*k)*(2 + 0 - 4)*(-6 + 2 - 1)*(7 - 18*k - 2 - 7).\nAnswer: 2160*k**2 + 240*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (567\/(-45) + 3)*-5. Calculate the highest common divisor of 1296 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -848*o - 37 + 8281*o + 88 - 1 + 38. Is c(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1038 divided by -3\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + d + 4. What is t(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 - 8*i**3 + 128*i - 256 = 0 for i.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -7. Let v = 7 + l. Let d = v + 2. Which is the second smallest value? (a) d (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -3055.4695788265?\nAnswer: -3050.4695788265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 265372*k + 168426.\nAnswer: 265372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 25 = -0*r. Suppose -r*l + 18 + 27 = 0. Suppose -3*p = -36 + l. What is the remainder when 17 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.21. Let c = b + -6.89. Let j = c + 6.88. What is j rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b**3 - 4*b**2 + 2*b + 8. What are the prime factors of d(4)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5361\nAnswer: 1\/5361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 57*q + 777. Give w(-37).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2526804 and 630.\nAnswer: 12634020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {x: 1, f: 1, j: 1, t: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*s = -3*f - 2, 21 = 3*f + 2*s. Let l be -3 + 2 - 10\/f. Suppose -y - 1 = 1. Which is greater: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -1. Let r be b\/(27\/(-30))*3. Suppose -5*a = 5*h - 20, -3*h - a + r = a. Solve -3*d + 3 = -6*d + h*f, 5*f + 6 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.72? (a) 6 (b) 44 (c) -3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:04 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/62593 - 3191963\/8763020. Calculate the common denominator of r and 113\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from {u: 7, e: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 74, -17\/11?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p + 5. Let q(h) be the first derivative of -h - 624. Calculate -g(b) - 3*q(b).\nAnswer: 13*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5564753815 and 0.1.\nAnswer: 5564753815.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 3*h**2 - 2*h + 2. Let r be i(3). Let q be r + 19 + (-1)\/(-1). Calculate the greatest common divisor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/7 (b) 2\/7 (c) 787 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**4 + 3*p + 6*p**2 + 111*p**3 + 128*p**5 - 59*p**3 - 131*p**5 - 52*p**3.\nAnswer: -3*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*f + 30, 0 = -3*f - 0*w + 2*w + 17. Let h = f + 3. Solve a - h = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8081609 by 4.\nAnswer: 8081609\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 34575 and 34577 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00486 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2007 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 222238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 197*j + 4139. Let k be p(-21). Find s such that 2\/5 + 2\/5*s - 24\/5*s**k = 0.\nAnswer: -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 22*x + 10 = -24*x, 5*z + 4*x + 13 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1443 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 4*c. Suppose c*o = 2*o - 132. What is the highest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -25*w. Let y(z) be the third derivative of -z**5\/5 - 6595*z**2. What is p(y(d))?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -2*i - r, -2*i - r - 96 = -3*r. Let k = i + 53. Calculate the greatest common divisor of k and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {w: 1, d: 10, e: 4, l: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 3339288706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868 = -52*j - 692. Suppose h - 16 = 3*w, -3*h - 4*w = 10 + 7. Let g be h*(-11)\/(33\/j). Solve -3*v - 2*v - g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-7 + 5 - -1)\/(-5)). Suppose 0 = g + 3*g - 24. What are the prime factors of (-3 + g*v\/(-6))*-10?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*y - 94. Let t(i) = -i**3 - 8*i**2 - 19*i - 2. Suppose -14*f = 20*f + 102. Calculate the lowest common multiple of t(f) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(2448) + 2*sqrt(2448) + 4 - -3*(-2 + (2 + sqrt(2448))*-3))*-6)**2.\nAnswer: 132192*sqrt(17) + 7148772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.26 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-12) + 1\/(-4). Suppose -2 = a + f*o, -a + 23 = 4*a - o. Suppose -3*m - 18 + 6 = 0, -a*t + 12 = 2*m. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 8*k - 182. What is the remainder when k is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -28*a + 33*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, -1, 0, -0.2, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 56. Let o(c) = -193*c + 577*c - 2*c**2 - 192*c - 192*c. Determine o(a(p)).\nAnswer: -32*p**2 + 896*p - 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*z - 46, 0*z = -2*z - 3*j + 14. Suppose 974*r + 495 = 1007*r. Is r greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20165 - 19962. Let c(m) = -6*m + 8. Let q be c(-7). Let i = q + 1. What is the remainder when t is divided by i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 108*k - 1567. Let b be q(-121). Let u(n) = n - 1. Let h(j) = -8*j + 5. Determine b*u(s) + h(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.23 and -0.077.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 5 + 0)*(3*l**2 + 39*l - 39*l).\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 29 + 38. Let a be 1\/6 + 3\/(-54)*u. Solve 5*i - 3*i = a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4*6*(sqrt(1216)*-3 - sqrt(1216)) + (-5 + sqrt(1216)*6)*4)**2 + -1).\nAnswer: -31520715 - 115200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 3*k - 7. Suppose -5*a - 3*f = -4*a + 1, -4*a + 22 = -f. What is the units digit of g(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/28 and 37\/2096.\nAnswer: 14672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/6)\/(35\/((-56)\/8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -932459, -1865213, -2797967, -3730721?\n\"Answer: -932754*j + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - 0.4. Let h be (0 - -2)*3\/(-2). What is the smallest value in h, -1\/2, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose x - 3 + q = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = h + h + 4, 20 = 3*f - 2*h. Suppose 0 = -f*n + 4*c + 148, -5*n = -3*c - 119 - 70. Calculate the remainder when n is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:17 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100771.154us in weeks?\nAnswer: 0.000001820058125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 11 + -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 260216748.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 263*r - 265*r = -25, -4*o = 5*r - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**8\/6720 - o**6\/720 - o**4\/4 + 3*o. Let b(l) be the third derivative of q(l). Factor b(x).\nAnswer: x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Which is the biggest value? (a) -0.5 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22322\/(-44)*8 + (2 - -1). Let n = r + 4052. Find the common denominator of -23\/5 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -21*z**2. Let f(n) be the third derivative of -13*n**4\/24 - n**3\/2 + 9*n**2 - 230*n. Calculate f(l(t)).\nAnswer: 273*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 9*y - 55. Let l be d(8). Are l and -2\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -130*j - 834. Let u(y) = y + 31. Let d(z) = -z - 30. Let b(l) = -7*d(l) - 6*u(l). Is 3 a factor of b(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36274291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 + -20 - -6) + -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p - 228*p - 3136 = -16*p - 14617 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2 + 4196*o - 4198 = 0.\nAnswer: -2099, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-253.\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7260))\/(sqrt(84)\/sqrt(448)).\nAnswer: 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 6, -12\/137 in increasing order.\nAnswer: -0.5, -12\/137, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 6*x + 4*x = 6, 0 = 4*q - 4*x + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 36*j**2 - 1014*j + 206. Determine u(27).\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 1, q: 1, w: 2, h: 1, d: 1}. What is prob of picking 1 m, 2 w, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**3 - 5*y**3 - y**3 + 13*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24137.00011417 + 24137. Round w to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2192.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 7*i + 14. Suppose 131*c = 111*c - 40. Give k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8558*-1715\nAnswer: 14676970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.645 + -3.645. Which is the biggest value? (a) -0.5 (b) t (c) 2\/17 (d) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 4, h: 2, p: 2}. What is prob of picking 1 s and 2 h?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 + 12006*a**2 + 2*a**3 - 12691*a**2 in the form t*a**3 + n*a + c + p*a**2 and give p.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00101814161 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5922 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13328 + -8.83.\nAnswer: -8.96328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15623 is divided by 1006.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 26 + 4*u**2 + 14 + 33*u**3 + 53*u + 111 + 206*u - 34*u**3. What is the first derivative of z(g) wrt g?\nAnswer: -6*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*-45*8\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9754310 is divided by 2191?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53.995 - 0.005. Let x = -54.4 - v. Sort x, -3, -3\/4.\nAnswer: -3, -3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386630 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i, -5*r + r = -3*i - 68. Let t = r - -3. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 1, 2, -4, 68 in ascending order.\nAnswer: -10, -4, -3, 1, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:55 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 76 + 79 = 5*m + 180, 19*m + 41 = s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12418a5 (base 11) in base 13?\nAnswer: 5a5948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -271*o**2. Let q(b) = 601*b - 1204*b + 602*b. Give q(k(t)).\nAnswer: 271*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Suppose -j + 5*n + 22 = 0, n - 2 = 2*j - 5*j. Suppose 3*l = -j*l + 55. Calculate the greatest common factor of l and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - sqrt(76)\/(sqrt(4)*-3))**2 + sqrt(38)\/(sqrt(72) + sqrt(72)*1).\nAnswer: sqrt(19)\/12 + 268\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 110 - 140. Suppose -2*s + r = 5, -s + 7*r - 20 = 3*r. Suppose 2*l = -s*l. Solve l*x = -5*x - w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 27. Let z be 4\/(-14) - (-2)\/56. What is the closest to z in 0.5, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-18)*3)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -77*c**3 - 29*c**2 - 108*c - 72. Let a(s) = -135*s**3 - 60*s**2 - 215*s - 143. Let r(p) = -4*a(p) + 7*t(p). Factor r(m).\nAnswer: (m + 1)*(m + 2)*(m + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1608 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 104. Let q be (t + 1)*(40\/(-16) - -2). What is the greatest common factor of 84 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 + -79)*(46 + 1) - 20.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**6\/54 - 10*l**5\/9 + 287*l**4\/12 - 5488*l**3\/27 + 2944*l**2\/9 + 4096*l\/3 - 175. Suppose r(u) = 0. What is u?\nAnswer: -1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 + 19*d + 4. Let f(l) = l**2 + 3*l - 1. Let t(o) = 4*f(o) - m(o). Calculate t(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 + 26 + -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 1287?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 6*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 16 (b) -2\/3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p - 3. Let j(f) = f**3 + 49*f**2 + 97*f + 135. Let x be j(-47). Give g(x).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93213 is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 11:35 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18988.\nAnswer: 2, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:12 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (243\/(-2))\/((-27)\/(-36)). Let y = 161 + w. Which is the biggest value? (a) -0.3 (b) y (c) 4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21507710 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 96.63111 years?\nAnswer: 0.9663111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2665172, -2665171, -2665170, -2665169, -2665168, -2665167?\nAnswer: -2665166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30030*r - 30 = -2*z - 30029*r, -4*r - 67 = -34*z + 105 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36694.1 - 6893?\nAnswer: -43587.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:54 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16187 is divided by 248.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*r**5 + 268277*r**3 - 15*r**2 + 125259 wrt r.\nAnswer: 4140*r**2 + 1609662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/i)**(12\/5)*(i\/i**(1\/2))**(-21) assuming i is positive.\nAnswer: i**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.33447 milligrams in nanograms?\nAnswer: 4334470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 + -206. Let m = 17 + o. What is the lowest common multiple of m and 410?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 681 - 668. Solve -2*t + a = 5*s, -4*s + 7*s - 15 = -3*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1910)\/(-22) + 18\/99 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28079407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20501c (base 15) in base 2?\nAnswer: 101110110111010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8116006 = 2*q - 2*m, 5*q + 11317796 + 8972195 = -3*m. Round q to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/2 (b) -0.4 (c) -4\/5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6976899l?\nAnswer: 697.6899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -39013*p + 390190. Calculate t(10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/5, 0, 24\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958577304.\nAnswer: 2, 3, 131, 509, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzzyzzzzyyzzz. Give prob of sequence zyy.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 40, 387, -7\/2?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - -151022?\nAnswer: 151113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 36 = -2*s - 4*z, -s + 9 = -5*z. Calculate the remainder when 145 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -56, -40, -2, 5 in descending order.\nAnswer: 5, 1, -2, -4, -40, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - v**2 - 3*v - v**2 - 4*v**3 + 2 in the form d*v**3 + o*v**2 + p*v + n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65076)\/7395 - (-2 + 12\/(-10)).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53958 and 80937?\nAnswer: 161874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/(-8)*-628*(-1020)\/(-75)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, 4, 5, 2, -2, 6 in descending order.\nAnswer: 171, 6, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/3 + 2*u**2 + 2*u - 3. Let y be l(5). What are the prime factors of (4 + -3)*y - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3024, -14, -278?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 16558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 989*b - 22766. Calculate d(23).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 + 4) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -6441.1\nAnswer: -644.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 57.4. Sort b, 0.15, 0 in descending order.\nAnswer: 0.15, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1298 - -1358.1. Let v = 62 - o. Is 2\/5 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5102, -5116, -5146, -5198, -5278, -5392?\n\"Answer: -c**3 - 2*c**2 - c - 5098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*q - 192 = 70*q. What is the remainder when q is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1813 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 5, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3215 divided by -5.\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/53 in 19, 0.4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*z**3 - z - 1289?\nAnswer: -192*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/9 - 124*b**2\/9 + 256*b\/9 = 0?\nAnswer: -64, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5) + 4940\/3325 - 121\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-147)\/(-4))\/(9*(-5)\/(-120)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 4, -1 in increasing order.\nAnswer: -135, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 15340 = 15487 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -387.9905 + 388. Round x to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -76, -1\/8, 1\/697, 1\/4, 1\/13 in decreasing order.\nAnswer: 7, 1\/4, 1\/13, 1\/697, -1\/8, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 285 + -285. Solve v = 2*m - 2, -5*m + k*v - v - 9 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/23571 and 65\/242757.\nAnswer: 23547429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649920.\nAnswer: 2, 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 22 = 506*a - 508*a, -2*k + 3*a - 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n + 10*n. Suppose n = -2*v - 5*t - 17, 11*v - t - 13 = 9*v. Let d(p) = -p**2 + p - 3. Calculate d(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 m when three letters picked without replacement from mdmdoxpxj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 14*z - 16*z + 62, 2*z + 106 = 4*i. Calculate the lowest common multiple of 60 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.1 and -8.265.\nAnswer: 58.6815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021221221210 (base 3) in base 6?\nAnswer: 140151203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30744 and 43920.\nAnswer: 307440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l + 23*l**3 + 36*l.\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86437671319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*z**2 - z + 3 + z**4 - 18*z**2 - 3*z**3 - 2 - 21*z**2 to the form d + w*z**3 + k*z**2 + u*z**4 + c*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*h - 2*t - 76, 0 = h - 5*t - 10. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*b = -44, 2*b - 83 = -3*w - 47. What is the lowest common multiple of 5052 and w?\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 divided by -26970?\nAnswer: -463\/26970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -586733543 or -586733544?\nAnswer: -586733544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 2 = -5*y, 5*y = -3*h - 6. Let i be h*(-86)\/4 - -1. What is the greatest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 17*b + 33 = 0. Let o(m) be the first derivative of 0*m**4 + 0*m + 2 + 0*m**b - 3\/5*m**5 - 2*m**2. What is the second derivative of o(r) wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 30 - 36 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-15))\/(96\/(-256))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 92 (b) -0.5 (c) 5 (d) 0.08 (e) -0.4 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0041 - 1.9959. Which is the smallest value? (a) 0.2 (b) 43 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -1)*19\/2. Let b(g) = g**2 - 24*g + 84. Let v be b(20). Suppose -f - v = -23. Is i at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-40))\/(1\/((-5)\/(-12)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -4320000\/11*h**3 - 720\/11*h**5 + 0 + 72000\/11*h**4 - 1\/1155*h**7 + 64*h + 4\/11*h**6 - 2*h**2. Factor d(f).\nAnswer: -2*(f - 60)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose 3 = q*h - 3. Solve -2*l = m + 3, 0*l + 9 = -h*m - 2*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204 times -0.38?\nAnswer: -1217.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36 - 3968\/93) + (1 - -10). Which is the second biggest value? (a) 0.11 (b) l (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 3. Let a(x) = 6*x + 5. Let g(w) = -3*a(w) - 5*b(w). Let v(s) = s - 23. Calculate v(g(d)).\nAnswer: -3*d - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/392*14*12. Solve -20*y + d*y - 56 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6)\/(14\/(-84)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -38*k + 375 + 334 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-14) + (-12)\/42. Let f(n) = -10*n**2 + 4*n + 8. Let r be f(x). Let c = r - -204. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23514462 is divided by 1486.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(605) + (-5 + (sqrt(605) - (sqrt(605) + -2)) - sqrt(605)) + -5 + 6*(sqrt(605) + sqrt(605) + -3*1*sqrt(605)))*1)**2.\nAnswer: 4224*sqrt(5) + 87376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 110 (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293995 is divided by 146972.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4. Let j be (13 - 8) + -3 + o. Let z be j\/9*12\/14. Is z < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4\/7*p**2 + 2\/7*p**5 - 50\/7*p + 24\/7 - 4*p**4 + 48\/7*p**3 = 0?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.483 - 21.517. Sort -0.1, -1\/4, l, 0.1.\nAnswer: l, -1\/4, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, i: 4, v: 1}. Give prob of sequence iv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 15*p**2 - 17*p - 39. Let x be g(-14). Let s(v) = 3*v**2 + v - 1. Let i be s(-2). Suppose -3*w = 3 - i. Sort 4, x, w.\nAnswer: w, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 298 = 3*h - h, 3*h - 293 = -o. List the prime factors of o.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123 or 2\/3?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11562785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73391, 146747, 220101, 293453, 366803?\nAnswer: 440151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 17*t = 284. Let j = -90 - -44. Let p = j + t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -24.39. Let f = u + -0.39. What is the closest to f in -4, 1\/4, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/((-4)\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 935 - 928. Suppose -3*t - p = -30, c*p = 5*p. Solve 11*h = 6*h + t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678577 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443 is divided by 649?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 87. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85784*x = 84805*x + 94963 for x.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3826053 and -49\/1639737.\nAnswer: 11478159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 25.2. Which is the closest to 2? (a) 1 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 7*z**2 + 5. Let h be a(-7). Suppose -b - 2*c = c + 5, 0 = 5*b + h*c - 5. Suppose y + 2 = 0, 3*x - 29 = -b*y + 8. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -46. Let m(q) = -2*q**3 - q**2 + 2*q + 2. Calculate the lowest common multiple of m(-2) and (2 - 1) + (a - 16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(35)\/(sqrt(21)\/sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 10*p - 85, -5*p - 131 + 32 = 14*i + 7 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 + 122*m - 61*m + 3*m**5 + m**5 wrt m?\nAnswer: 80*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1495 and 25415?\nAnswer: 25415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78648 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/2*(-1 + 0). Let a(n) = 52*n - 90. Let c be a(9). Suppose x*t = -3*t + c. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11230 = 64*y - 63*y - 3*q, -4*y - 5*q + 44886 = 0. List the prime factors of y.\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 37*s + 98. What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-45)\/(-486)*3\/40.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let g(d) = 135*d + 133861. What is g(o(a))?\nAnswer: 135*a**2 + 133861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**3 - 4*j - 14. Let r(t) = 4*t**3 - 3*t + 81. Let k(d) = -6*d**3 + 4*d - 114. Let x(b) = -5*k(b) - 7*r(b). Determine -3*l(c) - 14*x(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(-h - 2 + 2)*(-2426 - 938 - 3174) to the form i*h + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*b + 3*b. Suppose -58 = -z - 4*y - y, 0 = -3*y. What is the remainder when z is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9787575 divided by -279645\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.8 and -0.54?\nAnswer: 5.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/122?\nAnswer: 7\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 12:40 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 + 0 = 0, -2*f + 301198 = -3*u. What is u rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.78716 centuries to months.\nAnswer: 23744.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - 10. Find the common denominator of k\/(-9)*(-1)\/2 and 149\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/(-22) + 21700\/(-2387) + 116\/(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - ((3 - 5) + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1640 - -1?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*q - 38*q - 16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + b + 6 = -0*b, -11*d - 2*b = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 90 = 3*q. Let l = q + -35. Let w(m) = 2*m**2 - m - 5. Calculate the remainder when w(l) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9324181 is divided by 1177?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -918 - 2103. Let y = 12183\/4 + c. Find the common denominator of 5\/(-11)*57\/6 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*(((t*t**(-2))\/t)\/t)\/t*t)\/(t**2\/(t*t**(-3))) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 16*r**2 - 16*r. Let i(l) = 3*l**2 - 3*l. Let h(g) = -g**3 - 5*g**2 + 4. Let q be h(-5). Let j(t) = q*u(t) - 22*i(t). Let j(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/3, -20, -0.5, -0.28.\nAnswer: -20, -0.5, -0.3, -0.28, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from yysqqrqqqwqqqwqq.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -10\/7 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 10*m**3\/3 + 7*m**2\/2 + 5*m + 1. Let x(j) = 3*j**2 + 2*j + 2. Let y = 28530 + -28523. Determine y*x(b) - 2*p(b).\nAnswer: b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 15 = -18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) -0.5 (c) 3 (d) 175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14422 greater than or equal to -14413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a. Let d(w) = 481*w - 1451*w + 485*w + 484*w. Let g(q) = 4*q**2 + 3*q - 3. Let m be g(-3). Calculate m*d(u) + 5*s(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20532 divided by 172.\nAnswer: -5133\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:28 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, f: 2, c: 2, s: 3, u: 6}. What is prob of sequence jec?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1513 - 1515. Is 107 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*f**2*u*v**2 + f**2*u*v + f**2*u - 2*f*u*v - 2*u*v**2 - 155*v**2 wrt f.\nAnswer: -124*u*v**2 + 2*u*v + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**3*c)\/((c**4*c*c)\/c))\/(c**1)**(-3\/16))\/((c**(-1)*c)**0*(c\/(c\/(c\/(c*(c*c\/c**(-2\/9)*c*c)\/c))))\/(c**6*c)) assuming c is positive.\nAnswer: c**(1499\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1725 and 15?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 6550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v + 4*o + 2, -o = v. Let s(a) = a**2 - 5*a + 6. Let l be s(3). Let i = v - l. Sort i, -3, 1.\nAnswer: -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 73. Let z(h) = -17*h - 10*h - h + u*h. Let s(j) = j. Determine s(z(d)).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1244 - 740. Let y be (20\/195)\/((-22)\/(-33))*26. Suppose -p + y*p = h. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 960*r - 4690. Give x(235).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/2045 - -5321\/2928440. Let j = f + 53029\/21480. What is the common denominator of -89\/15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1905 is divided by 471?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -404 + -4?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 32.6.\nAnswer: 35.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5156777 centuries to years.\nAnswer: 51.56777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16598, -2, 126 in decreasing order.\nAnswer: 16598, 126, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3823 - 3822. Let u = -0.66 + 0.06. Let x = u + 0.64. Put x, -3, h, 3 in increasing order.\nAnswer: -3, x, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(14)\/sqrt(7)*-1)**2 - (sqrt(8)\/sqrt(4) + -1 - sqrt(2)*-2*3)) + -2.\nAnswer: -7*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.543548 to 1 decimal place.\nAnswer: -109.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 19. Let q = x - -3. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25776.5004 to the nearest integer.\nAnswer: -25777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-2)\/(-6))\/(4\/4). Which is greater: o or 2\/6661?\nAnswer: 2\/6661","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -399*-2\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.6. Suppose -6*j + 18*y = 15*y + 15, -4*j - y - 13 = 0. What is the smallest value in -2, h, 3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-34 - -13) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -5, -1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6466337015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/1320 + b**5\/165 - 5*b**4\/264 + b**3\/33 + 24*b**2. Factor p(a).\nAnswer: -(a - 2)*(a - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:07 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - -538)\/((-9)\/(-3) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.686534 rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 9 = n. Suppose n*h = -3*i + 25, -4 = i - 5*h + 1. Suppose -3*b - x + 1 + 2 = 0, x - 5 = -4*b. Put i, -5, b in increasing order.\nAnswer: -5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3573555446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735) - (sqrt(735) - -1*sqrt(735))*5)\/(sqrt(48) + (sqrt(48) + (sqrt(48) + sqrt(192)\/sqrt(4) + sqrt(48) - sqrt(48)))*1) + -2.\nAnswer: -63*sqrt(5)\/16 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140467*a + 140470*a - 4*l - 45 = 0, 40 = -2*a - 2*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.08088 to two dps.\nAnswer: -8.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x + 4*x + 9*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = 7. Let q(t) = 0 + t - 1 + 9*t + 5. Let a(v) = 3*v + 1. Let n(s) = w*a(s) + 2*q(s). What is the derivative of n(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 4804700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*s**2 + 19*s - 253106 wrt s?\nAnswer: -78*s + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {j: 1, y: 1, q: 1, p: 2, i: 2, k: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/44 and 39\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1833113 - -13\nAnswer: -1833100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*l + 124636 - 553116. Calculate the greatest common divisor of l and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 108*z = -0*z - 1119300. Is z a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i\/(i**(-3)*i))\/i)\/i**(1\/4))**(-12)\/((i**(-2\/3)*i)\/i*i\/(i\/i**(-1)))**(-38) assuming i is positive.\nAnswer: i**(-361\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.96 - -0.56. Let y = -0.5 + -5.5. Let d = -6 - y. Which is the smallest value? (a) r (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 + 1740*b**3 - 17664*b**2 + 21456*b + 127440 = 0.\nAnswer: -590, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1828.409245 to 1 decimal place.\nAnswer: 1828.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29600 and 51060?\nAnswer: 2042400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -116*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3348, -4025, -4702?\nAnswer: -5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-46)\/(p**2*p)**(2\/3))\/(p*(p*p\/((p*p**(-4))\/p))\/p*p**5)**48 assuming p is positive.\nAnswer: p**(-484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/2 - 6*n. Let s be z(-3). Let y = 40 - s. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, c: 1, z: 4, g: 1}. Give prob of picking 3 z and 1 g.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d - 3. Let c(t) = -18*t - 5. Let k(z) = 3*c(z) - 5*v(z). Let f(x) be the third derivative of x**4\/12 + 181*x**2. What is k(f(o))?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 25*i + 1. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -198\/5 not equal to -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*n - 96, 4*m + 96 = -4*n + 8*m. Let b be 2 + -1 + (n - -27). Let p be (-2)\/b*(-3 + 3). Solve 18 = 3*v - 4*l, p*l - 9 = -3*v + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -38*j - 7269. Let s(l) = -30*l - 7269. Determine -4*f(q) + 5*s(q).\nAnswer: 2*q - 7269","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*f - 179, 5*u - 47 = -f + 3*u. Let q(a) = -16*a + 2 + f*a - 20*a. What is q(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 8*o**2 - 15*o - 9. Let i be g(-9). Let b = 60 - i. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/117 - ((-3520)\/(-144))\/(-55)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 10*i**2 - 9*i. Suppose -o + 49 = 3*r + 2*r, 4*o = 5*r - 29. Let m be b(r). Solve m = 3*f + 15 - 0, -3*f = -5*n - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00130735 rounded to five decimal places?\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10809, 21617, 32425, 43233, 54041, 64849?\n\"Answer: 10808*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12250, -18379, -24508, -30637, -36766?\nAnswer: -42895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 228.9312 centuries?\nAnswer: 22.89312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4571 times -4\nAnswer: -1.8284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*d**2*i*x**2 - 2*d**2*i*y**3 - 2*d*i*y**3 - 12*i*x**2*y**2 + 2*i*y - 3*x*y**3 - y**3 wrt d?\nAnswer: -150*i*x**2 - 4*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/6854081 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/5 + 291*c**3 + 528526*c**2\/5 - 532896*c\/5 - 1059968\/5.\nAnswer: (c - 2)*(c + 1)*(c + 728)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6*(-38)\/133)\/(28\/49)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 16\/3. Which is the nearest to 6? (a) m (b) 2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/14 and 107\/994788?\nAnswer: 6963516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7, 4124, 3, 1.7 in ascending order.\nAnswer: 1.7, 2.7, 3, 4124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:10 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6682, 2, 5 in descending order.\nAnswer: 5, 2, -1, -6682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10783*p + 21883 wrt p?\nAnswer: 10783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 750 + 2406482?\nAnswer: 2407232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 - (-32 - -25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 q when three letters picked without replacement from qbbq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 11. Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2349332 is divided by 27639.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -933 or -2?\nAnswer: -933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/42 - (-15)\/(-45).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 16, -8, 10, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6*u + r + 125, 0 = 4*u + 2*r - 100. Suppose 0 = -g + 3*g - 10, -2*k + 3*g + u = 0. Let d = -15 + k. What is d rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*p + 317*p = -1218 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3745 + -2634. Let u = 1127 - k. Let l be ((-6)\/(-4))\/3*10. Solve 5*i = t - u, l = -4*t - 3*i - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s = -15*s - 57 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/240 - 47*w**5\/120 - 11*w**4 + 48*w**3 + 184*w**2. Factor n(i).\nAnswer: -(i - 1)*(i + 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l**2 - 14*l**2 + 32*l**2 - 3*l**2. Let z(k) = 161*k**2 - 35*k + 35. Let r(o) = -18*o**2 + 4*o - 4. Let b(s) = -35*r(s) - 4*z(s). What is w(b(a))?\nAnswer: 392*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 266?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o - 1. Let v be x(1). Suppose u = 3*u - v. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67055, 67058, 67061, 67064?\nAnswer: 67067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*q + 4, -21 = -3*x - 12*q + 7*q. Let t be (x + 1)\/(60\/16 - 3). Factor 8*l**2 - t*l**3 + 2 + 2\/3*l**4 - 20\/3*l.\nAnswer: 2*(l - 3)*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207.45 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/14)\/(((-4)\/((-32)\/6))\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 2*l**3\/3 - l**2 - 2*l - 2. Let d = -7 + 10. List the prime factors of f(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 3. Let i(d) = -4*d + 13. Let y be i(4). Let f be m(y). Solve -2 = -2*w - f*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 3*v**2 + v + 1. Suppose -3*c - 10 = -8*c. Give q(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4413.\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1 (c) -851\/19 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 11. Let k be 40\/6*(-2 + s\/(-6)). What is the greatest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + x. Let m be o(1). Let c = -247 - -248. Suppose g + 13 = 3*w, 3*w + 5*g + 17 = 2*w. What is the third smallest value in w, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 634*y + 51. Let p = 415 - 396. Is g(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 0. Let w = 105 - 98. Let h = w - -92. What is the greatest common divisor of k and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6027 and 1722.\nAnswer: 12054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135.99 + 137. Let a = j - 2.01. Sort -2, a, -2\/3, -1\/8 in increasing order.\nAnswer: -2, a, -2\/3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) -1\/3 (b) -1.8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1154 (base 7) to base 2\nAnswer: -110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 1 + 31 = -4*j, 0 = -5*j + l - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6*148\/64)\/(1518\/2024).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893837 is divided by 1914?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 520 (b) 0 (c) 0.1 (d) 9 (e) -0.1 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.39? (a) -1\/4 (b) 2.1 (c) -0.2 (d) -2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -u, 0 = -2*r - 0*r + 2*u + 8. Let y(p) = -p**2 + 17*p - 28. Let q be y(20). Let b = q - -91. What is the remainder when b is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1751)\/34*2028\/(-17407)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -328202693 < -328202693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9*-6 + -1. Let y = 25.08 - 0.68. Let l = -24 + y. Sort -5, l, q in decreasing order.\nAnswer: q, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1\/4*f**4 + f**2 + f**3 - 2*f - 3. Let w be (-3)\/2*(-2)\/3 + -3. Calculate z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bboobobozo. Give prob of sequence bobb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*k - 112277 + 112277 - 529*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 4. Let k(a) = -22*a + 40. Let j(o) = -7*o + 13. Let c(w) = -16*j(w) + 5*k(w). Let p(l) = -5*b(l) + 2*c(l). Let f = 13 + -8. What is p(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7581820 is divided by 674?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 24 = 4*u - 18, -2*v = -5*u + 44. Let d(i) = -i**2 + 10*i. List the prime factors of d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806965394?\nAnswer: 2, 2017, 200041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/886614 and -31\/3?\nAnswer: 886614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 973 + 366*y**2 - 973 - 492*y**2 to u*y + j*y**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-35)\/(i\/(i\/(i**7*i))) assuming i is positive.\nAnswer: i**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*t + 39 + 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvvzvlww. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-175)*-21)\/((147\/(-14))\/7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:49 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**3 + 9*q**2 - 5*q - 10. Let d(h) = -2*h**3 - 4*h**2 + 2*h + 5. Let l be (22 - 24)*(30\/(-4))\/(-3). Calculate l*d(j) - 2*m(j).\nAnswer: 2*j**3 + 2*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 1\/2, -0.01?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 - q**4\/12 - q**3\/6 + q**2\/2 + 2*q - 51. Let k(b) = -8*b**3 - 7*b**2 - 7*b + 6. Calculate -k(r) + 6*s(r).\nAnswer: 2*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 62. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**3 + d**2 + 2*d - 2. Determine w(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 570 = 2*m + 3*m, 0 = -5*m + 3*h + 554. What is the remainder when m is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:45 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 - 1371 = 297*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 36*i + 35. Let r be (2\/6*-13)\/(19\/114). Let g be p(r). What is the greatest common divisor of 118 and g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x - 541 = 4*j, -3*x + 5*j + 335 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -40*n**2 - 9*n + 48. Let d(c) = 40*c**2 + 8*c - 45. Let g(m) = -6*d(m) - 7*j(m). What are the prime factors of g(5)?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose -5*b + n*f = -59, 55 = 5*b - 7*f + 2*f. What is the remainder when 236\/10 + (-2)\/(-5) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/117)\/((-12)\/(-72))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (564\/329)\/((-3)\/(-56)). Suppose -27*k = -j*k + 10. Solve 3*x = -2*z - k*z - 9, 12 = -5*z - 4*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Let a be -4*(-10)\/i + 2. Let p = -5 - a. Solve -2*t - p*t = -10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3, 14.29, -1, -1\/4, -0.098?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 556409247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 3*k**3 - 4 - 6 as v*k**3 + w*k**2 + x + f*k and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016192033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 + 27*f**2 + 3*f + 27. Determine v(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - 57\/(-9). Find the third derivative of -q*s**2 + 14*s**5 + 14*s - 14*s wrt s.\nAnswer: 840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 73268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(-3*b**2 - 2*b**2 + 3*b**2)*(-6*b - 4*b + 0 + 1).\nAnswer: 40*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 3, d: 1, n: 5}. What is prob of sequence nxn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -228*b + 1370. Calculate t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 8. Let s be (-10)\/(-3)*((-6)\/4)\/(-1). Let w be u(s). Let h(c) = -71 + w*c + 71. Let z(n) = n. What is h(z(p))?\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b18 (base 12) in base 13?\nAnswer: -1694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 56. Let p = -102.47 - u. Let t = p - 0.03. Round t to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**4 - f**4 + 5*f**4 + (f**3 + 3*f**3 - 5*f**3)*(-f + 3*f - 4*f) + 2*f - 2*f + f**4 + (-2720 - 24*f**4 + 2720)*(4 - 4 - 1).\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5699327 rounded to 3 decimal places?\nAnswer: 1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512231, 1024417, 1536603, 2048789, 2560975?\nAnswer: 3073161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -a51?\nAnswer: a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -50. Let c(y) = -y**3 + 5*y**2 - 2*y + 2. Calculate the lowest common multiple of c(4) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 52. Let d(b) = -10*b - 30. Let h be d(p). Suppose -33 = -5*y + 3*u - 7*u, -5*y - 3*u + 31 = h. What is the highest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**4\/24 - 3*v**3\/2 - 6*v**2. Let h be f(10). Let d(i) = -2*i**3 - i**2. What is d(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 0*p**2 - 4*p**2 + (-3*p + 2*p + 0*p)*(-2*p - 3*p + p) + (4*p + p - 4*p)*(-4*p - 2*p + 4*p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/63*3*(-6)\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211 + -173. Suppose 0 = -d*c + 35*c + 342. Suppose -3*r + 15 = 0, -4*r + 141 = 5*p - 74. What is the remainder when c is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0095314 rounded to four decimal places?\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.4, -1\/4, 3 in decreasing order.\nAnswer: 3, -1\/4, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3205 - -3204.09. Sort a, 2\/5, 2.\nAnswer: a, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -94, -144, -224, -340, -498, -704?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13482*g**3*r**3 + 1391*g**2*r**3 - 3*r**3 wrt g.\nAnswer: -80892*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - z)*((1 + 0 + 0)*(-4*z**3 + 6*z**3 - 4*z**3) + 0*z**3 - z**3 - z**3 + 18*z - 18*z + 3*z**3).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 1:31 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Let c(t) = 0*t - 5*t + 3*t + p + 3*t. Determine c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - 4. Let y = 1.89 - 1.6. Let o = y - w. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1931.4 + 1930.8. Sort -0.4, a, 36, 2, 2\/15.\nAnswer: a, -0.4, 2\/15, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159000, -159006, -159022, -159054, -159108, -159190, -159306, -159462?\nAnswer: -159664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20734 - 20809 = i + 9*h, 3*h = 3*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/((-318)\/(-36) - 9). Put -2, 0, 8, g in descending order.\nAnswer: 8, 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3795\/(-69) - 5115\/(-99).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 26412 = -7050. Let u be m\/27876 - (5 - (0 - -2)). Let l = u + 143\/46. Calculate the common denominator of l and -31\/2.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 1\/2, 1, 1\/9, 1\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 984 - 971. Let u be (-2)\/11 + (-6)\/(-33). What is the nearest to u in -3, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19462, 2\/11, 0.8 in decreasing order.\nAnswer: 19462, 0.8, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 98*o + 101*o = -7, 2*g + 2*o = -26 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/(10*6\/576*12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 3*m**2 + 4*m + 4. Let j be a(4). Suppose -j*f = -5*o - f + 1160, -5*f - 915 = -4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3873\/(-9)*((-3 - 3) + 3). Suppose 2*o = t - 1290, -84*t + 83*t + o = -l. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97.1 - 0.4.\nAnswer: 96.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 17*c + 600 = 0. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p - 1\/20*p**5 + 0*p**4 + 34*p**2 + 0 + 0*p**3. Let d(v) = -8*v**2. What is d(f(q))?\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8377017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 7*q + 2*q. Let s = -17 - -27. Solve -s - q = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/120 - c**5\/12 + c**4\/6 + 4*c**3\/3 - 5*c**2. What are the prime factors of k(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -32 - (6 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014023 (base 6) in base 14?\nAnswer: -13b1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -2\/15 (c) -4527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-10 + 10) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**9\/120960 + n**8\/40320 + n**7\/5040 + 13*n**5\/20 + 5*n**2. Let b(p) be the third derivative of w(p). Factor b(j).\nAnswer: -j*(j - 2)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421281, -421278, -421273, -421266?\nAnswer: -421257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91908*v**2 - v**3 + v**3 + 92300*v**2 + 447*v**6 wrt v?\nAnswer: 53640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264.9 - 265. Which is the nearest to -1? (a) 1\/13 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Let k = 0.05 + s. Let z = 1.95 + k. Which is the nearest to -2\/7? (a) z (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - (-4 - -6))*3. Let l = -34 + 19. Let o = x - l. What is the highest common divisor of 32 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/3 - 1024*d**4\/3 + 49460*d**3\/3 - 753736*d**2\/3 + 3933578*d\/3 - 3228280\/3 = 0?\nAnswer: 1, 11, 29, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 419500 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -56*m**2 - 16*m - 4. Calculate f(-3).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40502 by 8.\nAnswer: -20251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.6 - 15.7. Let q = 9.024 + h. What is q rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s - 3*s**2)*(-100 - 64 + 15)*(4 - 3 - 2 + (-3 - 1 + 6)*(2 - 4 + 0)).\nAnswer: -2235*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 + 3)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/6 - v**4\/24 + 3667*v**3\/6 + 58*v**2 - 2*v. What is the derivative of q(x) wrt x?\nAnswer: 20*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215 * -0.4\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Let t = 934.3 - 839. Let f = t + -95. Which is the smallest value? (a) 3\/5 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 23\nAnswer: 19\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 262 = 7. Let l = d + 55. Solve -5*h + 41 - 6 = -5*x, l*h = -3*x + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -254, -251, -238, -209, -158?\n\"Answer: r**3 - r**2 - r - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26806 - 26805 - 129*m**3 - 167*m**3 + 240*m**3.\nAnswer: -56*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(10) - (sqrt(160) + -2*sqrt(160) + sqrt(160))))\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from nang.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = 0. Suppose s = -3*k - 3 + 9. Suppose 76 = 4*m + 68. Solve 4*q - k = -d - d, m*d - 10 = 4*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118052255529682841339\/2820168 + 41860008173161. Let v = n + -4\/39169. Find the common denominator of 56\/27 and v.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 - -203. What is the second biggest value in p, -1\/6, 1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5\/c)\/(c*c**5))\/((c\/c**1)\/(c*c**(-3)*c))*((c\/(((c\/(c*c*c**(-2\/5)))\/c*c)\/c))**(-33))**(2\/59) assuming c is positive.\nAnswer: c**(-1743\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + h + 6, 5*q - h + 10 = 2*q. Which is the third biggest value? (a) q (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3438159 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1224 + 2?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**21\/d*d)**15\/(((d\/d**(1\/13)*d)\/d*d)\/(d\/(d\/d**2))))**(-42) assuming d is positive.\nAnswer: d**(-172032\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-18)\/(-15)*20\/(-8). Solve 4*m - 6 + d = 0, -6 = -2*i - 2*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 + 171\/(-45). Let n be 5*u*(-8)\/(-20). Suppose 3*o + 31 - 10 = 0. Is o less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9732179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 52*o - 39. Give l(-45).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20278 divided by -2\nAnswer: -10139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7192245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m + 16. Let z be t(4). Let v = z - -30. Solve -2 = -v*y + c, 0 = -5*y - c + 1 + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -13. Let z be (h\/(-88))\/((-2)\/16). Solve -6*n + z = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**5\/c)*c**(-4))\/((c\/c**(-4)*c)\/c*c*(c\/(c*c*c*(c*c\/c**(6\/7))\/c*c))\/c*c))**(8\/11) assuming c is positive.\nAnswer: c**(-608\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 18*y + 25. What is the smallest common multiple of m(8) and 318\/15 - (-2)\/(-10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144742 (base 8) in base 3?\nAnswer: -2121220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -1.08. Let h be (-10)\/(-35)*(-3)\/(-6). Let w be (-12 + 2)*2\/(-5). Which is the nearest to 0? (a) w (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -6609 (c) 0.05 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. What is the second derivative of -4*h - 3*h**3 - 11*h + 1032*h**5 - 1033*h**s + 1 wrt h?\nAnswer: -20*h**3 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180388 + -180383. Let o = -12 + 20. Which is the nearest to o? (a) r (b) 1\/8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55560279.21 rounded to the nearest 10000?\nAnswer: 55560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 15) to base 10.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -h + 3080, -86*h + 83*h - 6*n = -9246. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 28*p + 14. Determine g(-27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 8 - 9) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 322064 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -18184b?\nAnswer: -18184c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/78)\/(((-1)\/12)\/((-53)\/424))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(k*k*k\/k**(-2)))\/(k**4*k*k\/(k\/(k**1\/k)))*(k**1\/k*k)**(-5\/9)\/(k\/(k**(1\/4)*k))**8 assuming k is positive.\nAnswer: k**(-131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14 + 119\/(-7497))\/(25\/(-90))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -w + 5, 0 = -2*l + 3*w - 8. What is the third derivative of 528*b**3 - l*b**2 - 528*b**3 - 16*b**5 wrt b?\nAnswer: -960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3176 = 1532*i + 520*i - 464*i. Factor 8\/3*y**3 + 0*y + 0*y**4 + 0*y**i + 0 - 2\/3*y**5.\nAnswer: -2*y**3*(y - 2)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.9 times 105663?\nAnswer: -4849931.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 2*x = -13*k - 12914, -4*x + 9688 = 3*k. Is 144 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4))\/(2556\/(-3408)*(-5)\/198).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578513382?\nAnswer: 2, 3, 31, 3110287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3745 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -3*g - 32. Let z(x) = -9 - g + x + 1 + 14 - x**2. Give z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 59*i - 9 - 2*i**2 - 59*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 5*o**2 + o - 5. Let h be t(-3). Let v = -8 + h. Solve -v*q = 3*i - 5, 2*i - 9 + 1 = q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 17, x: 1}. Give prob of sequence ux.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 24062 = -4*n, 0 = -4*p + 5*p + 3*n - 12046. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 7*l**2 - 3*l + 3. Let q be g(7). Let z = -9 - q. Solve 4*f = -1 + z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 98.92. Let t = 0 - -0.08. Let v = a - t. Put v, 2, 5 in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 176 = 176 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:33 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2637 take away 2553?\nAnswer: -2552.7363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 5b?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) - (sqrt(72) + 0 + sqrt(72))))**2 + -4.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -691, -1033, -1373, -1711, -2047?\nAnswer: -2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10142604 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 4*c - 3. Let v be (1 + -4)\/(3\/(-2)). Suppose 0*l + 4 = -v*l, -2*l + 4 = 2*y. Let b be 0 - -1 - (-4)\/y. Calculate f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5935 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 8*w + 28*w**2 + 235*w**3 - w.\nAnswer: 235*w**3 + 28*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -62. Let d = -15.023 - -0.023. What is the nearest to c in 0.4, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20990 and 22312 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 78 = -29. Is d + -9 - (-842)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*z - 623. Suppose 0 = 2*j - 5*j + 1020. Let t = z + j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964147 is divided by 665.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**3 - j**2 + 2*j - 1. Let c be s(1). Solve -r = -n + 4, 0 = -2*n - 2*r + c - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -4)\/(15 - 14). Solve 3*r - 3*b - 3 = 0, b = -5*r + a*b - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(26\/4 + -4). Let r be (d\/(-2))\/((-8)\/(-192)). Suppose 5*t = 9*t - r. Which is greater: t or 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssx when three letters picked without replacement from xxveszvsxvivssxvsixi?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, 8, 90, 172?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/6 - 901*o**4 - 66183*o**3\/2 + 284258*o**2\/3 + 9073610*o = 0. Calculate o.\nAnswer: -5369, -26, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 17. What is y(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 110141224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-112))\/(18\/60)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99119604*j**3 - 19386*j**2 + 1505*j?\nAnswer: 594717624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 3*u + 2*u - 7*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 2*d + 162, -695*l = -698*l - 5*d + 105. Calculate the greatest common factor of 1460 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(3*x - 2 + 2) + (3*x - x - x)*(-3 + 3 + 1)*(0 + 2 + 2).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, -16 in decreasing order.\nAnswer: 5, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -308993 + -274?\nAnswer: -309267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 33 = 30 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/54 - -2 - 5\/120*-4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1150\/2399149 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*g**4 - 4*g**2 + 7 wrt g.\nAnswer: -1584*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -73. Let y = 55 - 94. Which is bigger: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, 16, 70, 176, 352, 616?\n\"Answer: 3*y**3 - y**2 + 2*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*a - 2 = 0, 0*t - 3*t = a - 33. Suppose 6 = -5*y + 2*v, -2*v - 4 = -t. Solve 5*o + 4*q = 14, 4*o - 5*q + q - 4 = y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -804*s**3 + 1019*s**2 wrt s.\nAnswer: -4824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -0. Suppose a*s - 3*u = 21, -s + 1 = u - 8. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 96*m + 778. Give n(-87).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149738 less than -19821?\nAnswer: -169559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1654*x - 1655*x + 6788. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240728 <= -355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -24 in decreasing order.\nAnswer: 4, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1. Let j(i) = -14*i - 21. Let v(o) = -j(o) + 21*y(o). Let n(z) = -4*z. Give n(v(x)).\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 0 - 1\/2*x**2 + 4*x - 1\/6*x**3. What are the prime factors of k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1911107 not equal to -1911084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 4*u + 79. Calculate n(0).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*(-51)\/(-34) - 3. Solve -21 + 39 = -f*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 16. Suppose f - c = 7. What is the remainder when f is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18490 and 716810?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n. Let w(c) = 10*c**2 + 113*c - 113*c - 25*c**2. Calculate w(p(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 38 = 2*u, -2*s - 2 + 11 = -u. What is the units digit of (-201)\/(-7) + 2\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-4)*(-240)\/(-135)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5 + 3*p**3 + 4*p**2 + 3*p**2 - 2*p - 3*p**2 - 2*p**3. Let m be i(-4). Solve 2*c - m = -13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211396578 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1240\/(-92) - (-30 - 3 - -19). Factor 26\/23 + 14\/23*a - u*a**2.\nAnswer: -2*(a + 1)*(6*a - 13)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(77)*1 - sqrt(77)) + sqrt(77)) + sqrt(77) - sqrt(77))\/(3*sqrt(847)).\nAnswer: -2*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 5*z + 7*z + 1 + z + z**3. Let a be m(-1). What is the lowest common multiple of 660\/72 - a\/(-6) and 23?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199 * 0.14756.\nAnswer: 29.36444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 + 72*h**2 + 2589*h - 1. Let w(l) = -l**3 - 16*l**2 - 647*l. Give -2*p(n) - 9*w(n).\nAnswer: -n**3 + 645*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32646265 is divided by 15840.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9.7, 10, -0.4, 0.4, 0.3, 63?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -332\/5*a - 27556\/5 - 1\/5*a**2 = 0. Calculate a.\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (313\/3)\/(29\/(-1879200) + 0). Round q to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m - 110. Let n = 32 + m. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0336 - 31.2664. Round d to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889164351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150229\/18 - 8338. Calculate the common denominator of -41\/111 and i.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 202125.\nAnswer: 606375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430 = -3*j + z - 3843, 5*z + 5655 = -5*j. Let d be (2 + -27)\/(3\/(-27)). Let u = d - j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5084*c**2 - 4 + 4 + 7686*c**2 - 390*c**2 + 6131*c**2.\nAnswer: 8343*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 17*d = 8. Suppose d*v = -5*t + 15, -3 = -v - 0*t + 2*t. Solve -2*n - 15 = -v*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 16*y - 11169. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3084253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 204\/18 + (-4)\/(-6). Let z = -44 - -165. Suppose -3*k = 3*t - 303, -10 = t + 3*k - z. What is the greatest common divisor of t and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, u: 1, o: 4}. What is prob of picking 3 o and 1 u?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 - 4593*k**2 - 56*k - 557938 with respect to k.\nAnswer: 6*k**2 - 9186*k - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11633 = 2400*p + 43567 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, -2\/11, 0.4, -226?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**5 - 7*m**5 - 5*m**5 + (3*m - 2*m**3 - 3*m)*(-2*m**2 + 3 - 3) + 0*m**5 + m**5 + m**5 - 2*m**3 + 2*m**5 + 2*m**3.\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 + 15*u + 1. Calculate d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 202.\nAnswer: -20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 2. Let p(f) = 373*f**2. Let y be p(g). Suppose n - 4*n - y = -5*b, -3*b + 2*n + 223 = 0. Calculate the greatest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.61259995 to four decimal places.\nAnswer: 0.6126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -65. Calculate the lowest common multiple of 536 and -10*(-7)\/315*(c + 2).\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:12 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5698 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15337 - -15331. Let c be 1\/(-1) + -3*2. Let y(x) = -4*x**3 + x**2 - 9. Let t(n) = 3*n**3 - n**2 + 8. What is c*t(w) + j*y(w)?\nAnswer: 3*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i. Suppose i = -c + 3 + 3. Suppose -5*x - 2 = -a, -4*x - 4*a = a - 10. Solve -3*b - r + 3 = x, -c*r + 2*r = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Let v(x) = 23*x**2 - 603*x + 133. What is the smallest common multiple of v(26) and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 3. Let g be (4 - (-40)\/(-12))*r\/(-4). Let a = -0.2 - -0.3. What is the second biggest value in a, 0.8, 5, g?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-35)*3 + 4\/14. Sort -0.5, f, 2, -0.3, -8\/7 in decreasing order.\nAnswer: 2, f, -0.3, -0.5, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20221001 + -3102?\nAnswer: -20230103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 294*a**2 - 16*a + 60*a**3 - 25*a**4 + 6*a - 10 - 209*a**2. Let s(j) = 8*j**4 - 20*j**3 - 28*j**2 + 3*j + 3. Let g(u) = 3*l(u) + 10*s(u). Factor g(p).\nAnswer: 5*p**2*(p - 5)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 621*j - 625*j - 42 = 0, 3*w = 5*j + 39. Put -82, w, 0 in descending order.\nAnswer: 0, w, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixig when four letters picked without replacement from xfjjajagxgiijjajiija.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 861354, 861353, 861352, 861351, 861350, 861349?\nAnswer: 861348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11)\/d*d*(d\/d**(-2\/9))\/d*d\/(d*d**(-2)*d*d)*d**(1\/3))\/((d*(d**0*d)\/d)**(-1\/16)*d**(1\/3)*d\/(d\/d**7)) assuming d is positive.\nAnswer: d**(-10349\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 158489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 36*b + 15120. Calculate the least common multiple of 84 and b.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + 3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-4 - -2)) + (-30)\/(-10). Solve b = 3*d + 4*x - 3, -3*x + 4 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304150\/533 or -572?\nAnswer: -572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 17 = -4*g. Let f = -11 - -15. Let t(c) = -3*c**2 - 83*c - 204. Let i be t(-25). Sort g, i, f in ascending order.\nAnswer: i, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13210 divided by 5\nAnswer: 2642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4748611.928 and -1.88?\nAnswer: 4748613.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -51. Let t = -20 + -14. Let f be t\/4*(-14)\/7. Calculate the highest common divisor of z and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 68. Which is the closest to -3\/5? (a) -2 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-143) - (-9 - (360\/(-4950))\/((-9)\/(-745))).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11095789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 124812 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 + -5162\/15. Let p = 15299 - 15297. Let k = -1\/20 - 1\/5. Sort -10\/3, l, p, k in ascending order.\nAnswer: -10\/3, k, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9868656 and 22986?\nAnswer: 29605968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 386, 507, 612, 701, 774, 831?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let h(a) = -a. Let b(g) = -2*h(g) + 3*r(g). Let y(q) = -q. Let d(v) = -5*b(v) + 3*y(v). Let f(x) = -21*x**2. Determine f(d(o)).\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -39918\nAnswer: -798.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 490, 874, 1258, 1642, 2026, 2410?\n\"Answer: 384*v + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004807 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 179*f + 726. Determine v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15 + 392\/24)\/((-3)\/9). Let d(i) = 2*i - 3. Let n be d(4). Which is the second smallest value? (a) 56 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0) + 5\/(-1). Let x be 2 - (0 - -2) - j. Solve 5*r - 2 = -p - 0*p, -x*r - 4 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 4619.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.31558 weeks to minutes.\nAnswer: 33421.0464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 579*y**2 - 2865*y - 144. Calculate q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 21*v - 8451. Which is bigger: 941 or v?\nAnswer: 941","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5252\/15 - -350. Which is greater: 1\/2 or w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c - 24*c - 4*c in the form u*c + g and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(5 - r - 5) + (0*r + 3*r + 0*r)*(1 - 2 + 2).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a + 556. Let g be -26 + 22 + 16\/4. Does 5 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1967.32 - -1807.118. Let y = 163.12 + -3.12. Let h = g + y. Round h to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j**2 - 8*j - 20. Is z(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*l + 24, 0 = -3*l - 4303*u + 4298*u - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z - 62293 = 75*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -582*v**3*x**4 + 776*v**3*x**3 - 325652*v**3*x**2 - 4*v*x**2 - 13*x**3 wrt x.\nAnswer: -13968*v**3*x + 4656*v**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 15, 2, 4, 60.4 in increasing order.\nAnswer: 0.8, 2, 4, 15, 60.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320406*r**2 + 319892*r**2 - 640276*r**2.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*n - 2 + 6 + (0 + 4 - 3)*(-4*n + 3*n - n) + 2*n - 3*n - n.\nAnswer: -6*n + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**3 - 545*v**2 - 4625*v + 1190.\nAnswer: 5*(v - 34)*(v + 7)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111401781*k**3 - 120385532*k.\nAnswer: -668410686*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -1.1. What is the nearest to 1\/3 in 0.2, m, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145 + -206. Let v = -31 - i. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -9 - 2\/(-1). Let g be (-7 + i)*(0 + 1). Put -5, g, -3 in decreasing order.\nAnswer: -3, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 10) in base 9?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3389440, 3389436, 3389432, 3389428?\nAnswer: 3389424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 10*q**2 + 15*q - 42. Calculate u(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, b: 1, e: 2, u: 2, t: 1}. What is prob of picking 1 t and 1 u?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6344 and 0.4.\nAnswer: -1.05376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74712, 152230, 229748, 307266, 384784?\nAnswer: 462302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581873 less than -0.4?\nAnswer: -581873.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.03 to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49755)\/(-105) + (-1)\/(-7). Calculate the highest common divisor of 18 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/218370 and -24\/1710565.\nAnswer: 10263390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(0 + -2) + 0. Let i = q + -1. Suppose -s = 2*a - 75 + 27, -i*s = -a + 10. What is the least common multiple of a and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/3 - 3526852*k**3\/3 - 3109667730622*k**2\/3 + 2073115347268*k - 1036558261443.\nAnswer: -(k - 1)**2*(k + 1763427)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0094 and 0.3.\nAnswer: -0.00282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.194098g to micrograms.\nAnswer: 8194098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5903, -25805, -58969, -105395, -165083, -238033, -324245?\nAnswer: -423719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11605926 to the nearest integer?\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(7 - 5). Suppose 2*l + k = 3*x - 2*l, 0 = -3*x - 3*l + 15. Let s = -0.2 + -0.1. What is the second smallest value in x, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 395473341 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) + sqrt(220)\/sqrt(5)*-2)\/sqrt(4))**2 + (5 + sqrt(176) - (sqrt(396) - (-1 + sqrt(396))))**2 + -4)*-6.\nAnswer: -1194 - 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2. Let o(m) = 4*m**2. Determine c(o(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 2*t**2. What is the remainder when 15 is divided by g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.4106 millilitres in litres?\nAnswer: 0.0704106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 32*w - 3*w + 13*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*v - 7 = 5, 2*n + 22 = 2*v for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -2*x + 1070. Suppose -5*k = -97 + x. Which is the closest to 0.1? (a) k (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18375 + -3813. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyzz when four letters picked without replacement from zyzzyyzyzyzyy.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 - -8.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 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: Calculate the common denominator of 143\/42 and ((-2)\/95*2)\/(238\/85).\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000569628 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 22931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 2*n - 7*n + 2*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -21. Let z = -7 - j. What is the closest to z in 0, 0.4, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -2 - (-12 - -8). Suppose 3*f - 6 = -3, -a*f = -w. What is the second derivative of -14*n**3 - 13*n - 517*n**2 + 517*n**w wrt n?\nAnswer: -84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4276305474 to the nearest integer?\nAnswer: 65393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.349658456 to 4 dps.\nAnswer: -1.3497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -61. Suppose -f - 86 = -4*k. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorrroo. What is prob of picking 3 r and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 36)*(2 + 0 - 5*s - 1).\nAnswer: 145*s - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1040 - -688. Let u = r + 536. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/1995)\/((-45)\/(-75))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*-1*3*(sqrt(200) + sqrt(200) + -1 + sqrt(200) + 0))**2.\nAnswer: -14400*sqrt(2) + 405256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/61566575 and -3\/35434.\nAnswer: 123133150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 9*z**2 - 25*z - 9. Calculate u(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a*a**(-2\/11)*a)\/(a**5\/(a**(1\/3)*a)) assuming a is positive.\nAnswer: a**(-61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6 - ((-2)\/(-6))\/(15\/(-993645))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10051 and 32269?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 979 = -5*v, 4*a - 193 - 408 = -3*v. Let t = 365 - v. Let o = -55 + t. What are the prime factors of o?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 459\/612*(((-33)\/(-27) - -2) + 1)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -3*d, 20 = 5*d + 5*u. Suppose -r + w - 1255 = -d*r, -4*w = 16. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17357.03 to the nearest 10.\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4eea (base 16) to base 5.\nAnswer: 1121302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)*(-6)\/14. Let n = -329\/44 + 74\/11. Which is the closest to i? (a) n (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 25*s**2 + 26*s + 115. What is c(26)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/7 (b) -0.3 (c) 2\/11 (d) 5 (e) -156\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/((16125\/300)\/43)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5 + 394*o**4 - 6792*o**3 - 3694*o**2 + 3496*o = 0?\nAnswer: -1, 0, 1\/2, 23, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**18\/(s\/(s*s**(-3\/16)))*s**(-18)*s**5\/s assuming s is positive.\nAnswer: s**(61\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -1 - ((-24 - (-6 + 9)) + 13)) + 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 3*n + 1. Let v be s(-5). Let u = 52 - v. Suppose -u*h + 152 = -14*h. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 20*x = 97*x - 1020 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/3)*b*b)**(-30))**(8\/3))**40 assuming b is positive.\nAnswer: b**(-22400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let u(f) be the first derivative of 3*f**2\/2 - 2. Determine m(u(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**4 - 17*m**3\/3 - 17*m - 4. Let o(x) = -x**3 - 2*x**2 - 2. Calculate 51*o(a) - 6*t(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 5*v**2 + 5*v - 11. Give u(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-2 - 1))*12\/20. Suppose -w*m - 12 = 0, 0 = -5*g - 3*m + 6*m + 127. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -258.8 + 26.8. Let k = -405 - q. Let y = 173.00000077 + k. What is y rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20534, 41248, 61964, 82682?\n\"Answer: g**2 + 20711*g - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 - 213.6. Let s = -17.6 - g. Put 0.4, s, -1\/6 in decreasing order.\nAnswer: s, 0.4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3 - 115249*f**2 + 1267592*f + 2996188 = 0.\nAnswer: -2, 13, 115238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14376581.\nAnswer: 14376581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 39 - (6 + -2 + 1 + 3 + 2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 3*c**2 + 3*c - 1. Let g = 691 + -672. Calculate the remainder when o(3) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*r - 0*a + a, -6 = -4*r - 5*a. Suppose -4*g = 3*s - 130, -s = -g - r*g + 153. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5 - 12*q + 24*q + 1 to the form l*q + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (12 + 3)) + 4 + 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -4) + (10 - 8) - (-9 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.7 + 6.6. Which is smaller: 29 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -3, 2\/3 in ascending order.\nAnswer: -3, -3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 16 = 0, 20*t = 16*q + 23*t - 60 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407333665.\nAnswer: 5, 81466733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 1138*o**2 + 10316*o + 24. Give s(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 14 - 4*f**3 + 27*f**3 + 61 - 18 in the form u + o*f**3 + r*f**2 + y*f and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239934757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -126, 15, 500, 1497?\nAnswer: 3174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -298 or -307?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*j + 3. Suppose 3*i = 6, -4*i + 3 + 20 = -5*h. Let f be (h\/23)\/(3\/(-2)). Which is the third smallest value? (a) 3 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.038155 to two dps.\nAnswer: 226.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/7, -1\/103, 4 in descending order.\nAnswer: 5, 4, -1\/103, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y - 14. Let i be f(-4). Suppose -i*o - 8 = -12*o. Which is the biggest value? (a) 0.5 (b) -3 (c) o (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 2*i - i - 91.\nAnswer: 2*i - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4815178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15036*t**5 - 9*t**4 - 16*t + 6136 wrt t.\nAnswer: 300720*t**3 - 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 666.406 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -726 times -6\nAnswer: 4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c - 2*c + 2*c)*(-4 + 2*c + 4) - 21*c - 18*c**2 + 21*c)*(37*c - 4*c**2 - 37*c).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -24. Let t = -39 - n. Let u = t - -27.48. What is u rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142447016.\nAnswer: 2, 71, 250787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -2*u - 39. Let x = u + -114. What are the prime factors of (2 - 0)\/(x\/(-135))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 - 194. Suppose 1095 = 2*z - x*w, z - w - 550 = -0*w. What are the prime factors of z?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 54880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/(14\/63). Suppose g*k + 2 + 0 = 2*h, -3*k - 5 = -5*h. Sort 2, 4, k in descending order.\nAnswer: 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*j - 3*v, -4*j + 3*v = 7 + 4. Let g be j + (-3 - (3 + -7)). Which is smaller: 9\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959060207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by -110.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 3\/4 in increasing order.\nAnswer: -8, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 880582549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*r - 175*r - 4*r**2 - 35*r**2 + 109*r**2 - 42*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/5)\/a)\/a)\/a**(-2\/7)*a\/a**(-6)*a*a**(-2\/15))\/((a**(2\/3))**(-19)\/(a**(-7)\/(a\/(a\/(a*a\/(a\/(a\/a**7))))))) assuming a is positive.\nAnswer: a**(1808\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -43c3b?\nAnswer: -43c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 8*r**2 + 19*r + 6. What is the remainder when l(9) is divided by ((-56)\/(-20))\/(-1*(-4)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727971790.\nAnswer: 2, 5, 7, 13, 17, 47057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2377373.0379 + -2378157. Let t = -784 - w. Let x = t + 0.035. Round x to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -25*p - 22. Let u be l(-4). Let n be 13\/u - (-46)\/12. Solve r - 5*r + n = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1310 (base 5) to base 9\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19709 + 21277 = 5*x - l, 8194 = x + 3*l. Suppose -x = 3*j + 4193. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*k - 11*k. What is the remainder when 34 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3364339 is divided by 1121291.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/28)\/(1350\/(-4200))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 182356865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2086858 and 121?\nAnswer: 2086979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -76. Suppose 48*f - v = 47*f. What is the greatest common divisor of 32 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 888, 1069, 1248, 1425, 1600, 1773?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, -0.8, -0.0183?\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + u**2 - 2 + (u**2 - 2*u + 2*u)*(-2 - 3 + 1) - 3*u**2 + 2*u**2 + 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6732\/255)\/(15\/25)*(-45)\/(-60)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b. Let w be v(1). Suppose 0 = -3*x + w*c - 40 - 59, -5*x = 3*c + 165. Let l = x - -49. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, 1, -5 in descending order.\nAnswer: 1, 1\/34, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -30330 bigger than -15817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 35*m**2 - 8*m - 3. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2008160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(1088) + 3.\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 5*u**2 + 5*u - 2. Let b be i(-4). Let j(l) = -2*l - 7. Let n be j(b). Solve -n*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 12307917?\nAnswer: 2\/12307917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 1776.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63850913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 1\/1050*z**7 + 1\/600*z**6 + 0 + 0*z - 1\/15*z**3 - 1\/24*z**4 + 21*z**2 - 1\/100*z**5. Let a(w) = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 + 1707*v**2 - 3 + 1 - 65*v - 1709*v**2 + v**3 + 1 as a*v**4 + u*v + s*v**2 + r*v**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 32*o**3 - 2*o + 1. Let u be i(3). Let d = u + -415. What are the prime factors of d\/(-9)*12\/(-8)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008083 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = -2, -3*g - 3*k + 57 = 0. Let p be 14\/3 - g\/27. Solve 5*w - p*l - 4 = 0, -l + 20 = 2*w + 2*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-8)*116\/319*(-26)\/91?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -55362 (base 10) to base 4\nAnswer: -31201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let s be (-96)\/(-36) + (4 - 100\/6). Sort q, -4\/7, s.\nAnswer: s, -4\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13000 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(660\/24))\/((-1)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/6 + 19*l**3\/2 - 259*l**2\/2 - 1189*l\/6 + 841 = 0 for l.\nAnswer: -3, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/598752 and 223\/1496880.\nAnswer: 2993760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-2)*-1 + 1\/2. Let a be l\/(-12)*(0 - (2 + -2)). Solve -j = 2*b - 7, -3*b + j = -a - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -21*w + 21. Let t(q) = 3*q - 3. Give -27*t(d) - 4*u(d).\nAnswer: 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*-2 - (-3 + 7). Is 37 a factor of 0 + 4\/(-5) - 1019\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 - 1\/((-1)\/4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*j - 1)*(2*j**2 - j + j) - 411*j**2 + 604*j**3 + 1194*j**2 - 607*j**3.\nAnswer: j**3 + 783*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11260052*m**2 + 17914388*m?\nAnswer: 22520104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 11163\/21 + (-16)\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*x + 4646 - 4598, 2*u = -x + 48 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/(l\/(l*l*l**(-1\/2))))\/(l**(1\/2)*(l**(-1\/2)\/l)\/l*l))\/((l**(-2\/13)*l)\/(l\/l**4)*(l*l\/l**(-2\/5))**(-1\/32)) assuming l is positive.\nAnswer: l**(899\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -11, 1\/4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16718 and 2704026.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-4)\/12 - (-40)\/(-6)). Solve -a = -d*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Suppose 3*j - 7 = 2. Let x be l(j). Determine i so that 8*i**2 - 6*i**2 - x*i**2 - 2*i + 2*i**3 + 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2711*s + 10 - 5340*s + 2630*s.\nAnswer: s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -1. What is the closest to 0 in -2, u, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**5\/5 - k**3\/3 + k**2\/2 + k + 32. Calculate a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5\/(-15)*-3)*(-102 + 506\/46).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -51. Calculate the highest common divisor of u and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6546*f**3 - 21*f**2 + 882493*f wrt f?\nAnswer: 39276*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 60 = 4*g - x, -2*x - 1 = -9. Calculate the smallest common multiple of (68\/(-6))\/((-2)\/3) and g.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.35 + 0.349742. What is b rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1244, -1241, -1238, -1235?\n\"Answer: 3*o - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9868.085 millennia?\nAnswer: 118417020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -18. Let o = 8 + t. Put 0, o, 4 in descending order.\nAnswer: 4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1001, 2002, 3003, 4004, 5005, 6006?\n\"Answer: 1001*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 10 + 8 - 28 + 7 - 107*o to c + p*o and give p.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {a: 3, s: 1, p: 2, i: 1, v: 3, q: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + 145 + -159 + (1 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0877009 rounded to 4 dps?\nAnswer: -0.0877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5201959170 divided by -6.\nAnswer: -866993195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 2, h: 4, m: 3}. What is prob of picking 2 y and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:07 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7*-1987132.\nAnswer: -9339520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v - 3. Let d be w(3). Let p(m) = -98*m - 13. Is p(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -49*o - 7. What is i(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(68) - sqrt(68)*1) + sqrt(68) - sqrt(68)) - (sqrt(68) - sqrt(68)*1)*-6)\/(-3*(sqrt(400) - (sqrt(400)*1 - sqrt(400)))*6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 12*g + 31. Let c be p(9). Is c less than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(363) - (sqrt(363) + 3*(sqrt(363) + 5))) - (-2*sqrt(21)*3 + sqrt(21) + sqrt(21))\/(sqrt(70)\/sqrt(90)))**2.\nAnswer: 714*sqrt(3) + 1612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 16. Put r, -3, 3 in ascending order.\nAnswer: r, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 19 in increasing order.\nAnswer: -4, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*q**2 + 15*q**2 - 91*q**2.\nAnswer: -161*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbfbbbbbbbbbbbbbbv. Give prob of sequence bvf.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -84.\nAnswer: -17\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/30 - 2*r**4 - 4*r**2 + 34. Factor g(k).\nAnswer: 2*k*(k - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18612)\/(-20) + 39\/(-15) + 3. What is the greatest common factor of x and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1\/4 (c) 0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -24\/5*v**5 + 98*v**2 + 2*v - 121 + 1\/4*v**4 + 0*v**3. Find the second derivative of g(s) wrt s.\nAnswer: -288*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1800 and -193\/208260.\nAnswer: 2082600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:59 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/5 + 57*v\/5 + 2790 = 0?\nAnswer: -93, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1474.5 + -1475. Put i, 1\/5, 9\/8 in descending order.\nAnswer: 9\/8, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 9. Let j be m(-8). Let w(t) = -5*t**3 + 2*t - 1. Give w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + 0 + 5)**2.\nAnswer: -42 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 138\/9*(-6)\/(-4). Suppose 37 = 3*c - g. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(125))**2*-6 + -4 + sqrt(5) + 0 + ((sqrt(40)\/sqrt(2))\/sqrt(4) - sqrt(5)).\nAnswer: sqrt(5) + 2996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7554 - 44*q - 7554.\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 15. Solve -2*t + 25 = -4*d - c, 0 = 5*d + 4*t + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 161, 365, 651?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9245651 is divided by 374.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 4*p**2 + 5*p - 9. Give a(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 - -103. What is the third biggest value in 0.3, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.3. Let n = 0.03 - 0.53. Let z = -2 - -1.8. What is the third biggest value in n, z, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:47 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111100110000000000 (base 2) to base 14.\nAnswer: -d4304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 - 106. Suppose -45*w + v*w + 9 = 0. Suppose -w*l = -2*l - 25. What is the highest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 6. Let c be w(6). Let k = 1 - -3. Suppose 15 = l + k*l. Solve c = -x - r - 7, -l*x + 4*r - 3 = r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 155*h**2 + 40*h - 35. Let r be s(39). Suppose -t + 3*t - 3*f = 29, 2*t + 4*f = -6. Sort t, -3, 5, r in decreasing order.\nAnswer: t, 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -s + 19. Suppose -5*f = -3*d - 3*f + 27, -4*d = -3*f - 36. Calculate the highest common divisor of s and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7114 - -7114. Put -24, -2, 5, a in ascending order.\nAnswer: -24, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t - 2. Let b = -14 - -10. What is the smallest common multiple of g(b) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 25633?\nAnswer: -25633.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.67 + 42.11. Which is smaller: i or 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253.3 at least as big as -13606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6. Let g be ((-15)\/20)\/((-6)\/648). What is the remainder when (w - -1) + g - (-20 - -18) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1803 is divided by 249.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v - 44*v**2 + 12*v**2 - 1 + 18*v**2)*(-v + 2*v**2 + v).\nAnswer: -28*v**4 + 48*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 4*j**2 + 9 - 2*j**4 + 2*j + j**3 - 6 + 7*j**2 to v*j**3 + x*j + p*j**4 + s + b*j**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yelyttrrregrtte. What is prob of sequence tt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(252)\/(sqrt(6) + (-2*sqrt(72) - sqrt(72))\/sqrt(12)))\/((sqrt(588)*2 + sqrt(588))\/sqrt(2)))**2.\nAnswer: -503\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -10*w**4 - 5*w**3 + 90*w**2 + 45*w = 0.\nAnswer: -3, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 (base 9) in base 6?\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -16. Let y be ((-2)\/(-6))\/(-1 - 0). What is the closest to 2 in y, -2\/11, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.063*8227\nAnswer: -518.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/56075548 and 15\/62018.\nAnswer: 616831028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -7, -4, -0.3, -16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 117694388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*d - 29 - 87*d + 175*d.\nAnswer: d - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/54)\/(3\/(-81)*-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + 6 + (3 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i**2 + 7*i - 10. List the prime factors of y(3).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 c when four letters picked without replacement from {c: 3, w: 2, m: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {v: 11, x: 6, k: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*p + l, -5*p - l + 52 = 3*l. Let c = -11 + p. Let b = 4 + c. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84311, 168624, 252937, 337250, 421563, 505876?\n\"Answer: 84313*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = 38*u + 6, v - 5*u = 13. Let o(k) = -k**2 + 7*k - 2. Let i be o(6). Let w = 4 - i. Solve c - 3*c + 9 = v*a, w = 5*a + 4*c - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15074093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -18. Suppose 0 = -0*o - 4*o + 4. Let k = o - p. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 217982565?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 19 - (0 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Suppose -5*i + 8*s - 15 = 3*s, 3*i - s = -1. Let x be ((-1)\/2)\/(i\/(-6)). Suppose x*g = -2*g - 10. Calculate c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -146*k + 51. Let z be g(-21). What is the second derivative of z*h**2 - 3117*h**2 - 25*h + 39*h**3 wrt h?\nAnswer: 234*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 c when three letters picked without replacement from {l: 1, b: 1, c: 2, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207\/2 + 103. What is the fourth biggest value in l, 0.2, 4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 7*o**3\/2 + 34*o**2 + 4*o - 1. Let f be b(-1). Solve -f = 2*u - 49 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 21870?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -832*j + 4111. What is o(5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**7\/150 - h**6\/15 - 19*h**5\/300 + h**4\/3 + 2*h**3\/5 + 1301*h**2. Solve y(q) = 0.\nAnswer: -1, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 6. Let z(y) = -y**3 + y**2 - 3*y + 3. Let q be z(2). Let w be x(q). Let h = w + 1. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/21)\/((-1900)\/(-6840)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(1\/5)\/r))*r**(-3\/5)*r)\/(r\/(r**(2\/7)\/r*r)*r**4) assuming r is positive.\nAnswer: r**(-144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -1, -0.111?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27339 - 10486 = 19*s. What are the prime factors of (s\/4)\/((18\/(-8))\/(-9))?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00094826 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - y**2 + y - 2. Let q be g(-2). Suppose -2*w = -c - 7 - 6, 0 = -5*w. Let b = c - q. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 361, 635, 975, 1381?\n\"Answer: 33*t**2 + 175*t + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 1. Let p(s) = -7*s**2 - 2*s - 1. Let t be p(-1). Let b = -128 - -140. Calculate the remainder when b is divided by a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 22*z + 8. List the prime factors of x(-13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-4\/7)))\/(m*m*m*m**(3\/4)*m))\/(m**(-2\/3)\/m)**(2\/201))**(-11\/6) assuming m is positive.\nAnswer: m**(985237\/101304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48631499.27 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 4 - -3 - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260893086 - -27.6578.\nAnswer: 260893113.6578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 4. Let i(p) = -p**2 - 7*p - 3. Let t be i(-5). Let r = t + -4. Is y(r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (60 + -57)*(-472)\/(-9) + (-4)\/3 and 273.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 3*m**4 - 10*m)*(0*m + 2*m + 2*m)*(1 + 1 - 1).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 2, b: 5}. Give prob of sequence bb.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqsq when four letters picked without replacement from krlqrsqqqqlqlsrllrll.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -179 (b) 0.28 (c) 5 (d) 4\/3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express 652*u**2 - 652*u**2 + 2*u + 3*u**3 + 1 + 3*u**4 in the form q + t*u**2 + b*u**3 + r*u**4 + l*u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.124, -1\/7, 2\/11, -1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 1562\/13. Let r(o) = o - 9. Let y be r(11). Suppose y*h - 3*l - 20 = 2*l, 16 = 4*h - 4*l. Which is bigger: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/351*48 - 14 - (-2)\/26.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -5) + (1 - 1). Let z = b + -1. Find the second derivative of -v**2 - 3*v + 5*v + 3*v**z wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1256*h**2 - 17*h - 3. Let g be y(-1). Solve 4 = -g*r + 1272*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98368?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/126 and -10\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -193*i**3 + 768*i**2 - 20*i + 141. Give l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*x + 158, 2*o - 111 = -o + x. What is the remainder when o is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30220 is divided by 4295?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3 - 3*h**2\/2 - 1. Let y be m(2). What is the derivative of -y*g**2 + g**2 + 7 - 8 - 6 wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/(-352))\/(4\/(-22))*4\/(-14)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from hhhhhhshssh.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18 = -0. Is r\/(-10) - 4440\/(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0372 and 26.7543?\nAnswer: 26.7171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 20. What is the second derivative of -8*h**3 - 6*h + 0*h**n - 2*h**3 wrt h?\nAnswer: -60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99*k + 81*k + 223*k - 33 + 3 wrt k?\nAnswer: 205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4280702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98074739.\nAnswer: 7, 3313, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 166*d + 3*d**2 - 168*d + 1972*d**3 - 193*d**3. Let v be n(-3). What is v rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - -47) + 5 + (-2)\/(-1) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let m(q) = -8329*q**2. Calculate m(o(t)).\nAnswer: -8329*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-7)*(-35 + 21). Suppose p = q + 5*q. Suppose 5*y = 9*y. Put 1, -1, y, q in descending order.\nAnswer: q, 1, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1064\nAnswer: -3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*k*n - 1047*d**3*n**3 - 2*d**3*n**2 - 63218*k*n**3 with respect to k.\nAnswer: -d**3*n - 63218*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*a + 6 = 0, 5*g + 12 = -3*a + 6. Suppose 0 = 7*l - 11*l + 140. Put 4, l, g in descending order.\nAnswer: l, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 844\/153 - 90\/17. Sort k, 5, 1 in descending order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 877416*m**2. Let z(y) = 4*y. Determine z(p(u)).\nAnswer: 3509664*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -232042?\nAnswer: 232100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 74200 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 56. Let q be f(-18). Solve 3*s + 2 = -l, -17 = 2*l - q*s - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 8 - 3. Let b(r) = 6*r + 21 - 19 - 7 + 3*r**2. Let s be b(t). Solve -4*v = 5*j + 37, -v + 0*j = s*j + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323148?\nAnswer: 2, 330787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645 = -5*i + 2*z, -4*i - 221 - 278 = -5*z. Let x = 90 + i. Let y = x + 267. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003813 to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158565212?\nAnswer: 2, 13, 3049331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-15 + 19 - (0 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 - -163. Let w = 506 + q. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.71359 seconds to microseconds.\nAnswer: 19713590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10362\/17 or 610?\nAnswer: 10362\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -214, -429, -646, -865, -1086?\n\"Answer: -c**2 - 212*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**3 - 30*z**2 - 21*z - 56. Calculate t(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -2005898?\nAnswer: 3610616.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/230*(10\/8)\/5*130\/(-169).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13*c + 77. Let f be o(-6). Let b = -5 - -10. Sort -2, f, b in decreasing order.\nAnswer: b, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.821233764 to 3 decimal places.\nAnswer: -4.821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 4 (c) -16 (d) 1\/4 (e) -38066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*u = 39*u + 1748. Solve 28*v = u*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10027*f**5 - 12283*f.\nAnswer: -200540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d80 - 0?\nAnswer: 2d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3\/6 - t**2 + 2*t. Suppose -11 = 3*w - 2. Let x = w - 2. Determine f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 1. Let x(u) = -5*u - 13. Let i(f) = -x(f) - 6*z(f). Let v be i(5). Suppose -11 + v = -3*a. Solve 3*l + 3 = 3*j, 2*l - 3*j = a*l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -278*f - 36*f - 123*f - 6118 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -100770?\nAnswer: 100763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 3*h + 0 + 0*h**4 + 0*h**3 - 1\/60*h**5 + 2*h**2. Let t(l) be the first derivative of k(l). Let j(b) = 5*b. Give j(t(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010100 + 11100001000?\nAnswer: 1010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -117559220 rounded to the nearest 100000?\nAnswer: -117600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15066*j**3*s**3*t - j**3*s + j**3 - j**2*t + 28418*j*s**3*t - s**3 wrt j?\nAnswer: -90396*s**3*t - 6*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 14. Suppose -4*s - i = 70. Is 3*3\/(-9)*s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y + 2. Let z(g) = 9*g + 157 + 99 + 9*g - 250. Suppose 9 = -5*n - 6. What is n*z(l) + 8*x(l)?\nAnswer: -6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3564, -3586, -3622, -3672, -3736, -3814, -3906?\nAnswer: -4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27392, -54789, -82178, -109553, -136908, -164237, -191534, -218793?\nAnswer: -246008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15.9. Let h = s - 0.5. Let l(t) = 8*t - 53. Let u be l(6). Sort u, h, 3 in increasing order.\nAnswer: u, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - 20*s + 7. Let b be y(9). Suppose 0 = -2*m + 2*t - b, -15 = -5*m + 4*t - 193. Let u = m + 48. Calculate the least common multiple of u and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 7240, -20.3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -15. Let m = f - -4. Sort -2, 4, m in decreasing order.\nAnswer: m, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - l = 12, -1946251*z + 31 = -1946246*z - 2*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*o - 5*y = -10, y + 4 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*k - 883*k - 187 = v, -5*v - 2*k + 121 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/153 and -1\/2324563?\nAnswer: 20921067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 48*z + 192. Let t be x(-4). Let y = 64\/7 - 9. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2730, 5324, 7916, 10506, 13094, 15680?\nAnswer: 18264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 839250 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-339)\/226 + (-849)\/(-6). Solve 132*u = v*u - 48 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681855 a multiple of 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 78 = -143 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from ssssststss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q. Let o(j) = 2*j**2 - 6 + 6. Determine t(o(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11880408 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 147138 = -2*l, 6*l + 5*x = 9*l - 220783. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2808 + 4270. What are the prime factors of (c\/(-129))\/((-1)\/174)?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9928 and 1146392.\nAnswer: 19488664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 6*v + 1. Let q be c(-3). Is 339\/15 + (-6)\/q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*n - 131*n - 171 = 111*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1780*i - 242 = -1758*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 196 = 140. What is the remainder when 109 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6343 is divided by 905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**4 + n**2 - 1. Let z(x) = 87*x**4 - 54*x**3 - 1908*x**2 - 12852*x - 18489. Let m(a) = 21*u(a) - z(a). Factor m(k).\nAnswer: -3*(k - 38)*(k + 2)*(k + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/497649 or -1?\nAnswer: -1\/497649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1910988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.38 (b) -2 (c) 0.03 (d) 5 (e) -3\/4 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.92 - 0.08. Sort 2, v, 0 in decreasing order.\nAnswer: 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:26 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + 28 = 0. Let s = -236 - -257. What is the highest common factor of c and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6)*(-60)\/8. Let f be 156\/m*(2 - 48\/9). Let g = -25 - f. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139799549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 161, 2\/17, -1\/9, 42, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - -1.5. Let h = 0.15 - -25.85. Let n = 21 - h. Which is the second biggest value? (a) n (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 52, 128, 234, 370, 536, 732?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {n: 6, a: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1408a9 - -6?\nAnswer: 140904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {g: 3, e: 1, a: 1, k: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from khkuvhs?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y + 268 = 10*y - 85*y. Which is the nearest to -16\/15? (a) -4 (b) 0.4 (c) 7 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -5957*i**6\/120 + 145*i**4\/4 - i**3\/6 - 20*i**2 - 3*i + 12. What is the second derivative of a(l) wrt l?\nAnswer: -35742*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 349859607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.02, 4\/7, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/410768 and -115\/48.\nAnswer: 1232304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273488*y + 23 - 3 - 273457*y to the form l + s*y and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (76260\/(-328))\/(2*(-2)\/96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(45)\/sqrt(3)*-6*2)\/(sqrt(147)*-2*6*-1).\nAnswer: 4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12135545 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.00954 and -1.8.\nAnswer: -0.79046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 0.3618508?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11424 - 341242?\nAnswer: -352666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 121?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 2*p**3 - 31)*(-3*p**2 + 2*p**2 + 0*p**2) + p**5 + 8*p**5 - 2*p**5.\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 3 (c) -1 (d) -143\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(66)\/(sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 863\/1992 - -9\/83. Calculate the common denominator of 0 - ((-50)\/3 + 1) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -473*q - 288.\nAnswer: -473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s**2 + 2*s)*(s - s - 2*s)*((0 - 1 + 3)*(1 + 2 + 0) + 197 - 81 + 101).\nAnswer: 446*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 1 - w**4 - 21*w**3 - 2*w**2 - 11*w**4 + 11*w**4 to the form v*w + p*w**2 + g + c*w**4 + l*w**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 44 = 19*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910.7253 centuries to years.\nAnswer: 91072.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9023641 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(133))\/((-1*sqrt(28))\/sqrt(4)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:52 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/32, 505, -3, 0.3, -0.3 in increasing order.\nAnswer: -5, -3, -0.3, -1\/32, 0.3, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 10 + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22867.\nAnswer: 13, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*q + 311 - 15193 = 7736 for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*q**3 + 7 + 0*q**3 + 625*q**5 - 39*q**2 + 34*q**2 wrt q.\nAnswer: 37500*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = 6*o. Is (o - 19\/2)\/(10\/(-1940)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2504 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 28 = 124 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, 34, 1\/5 in decreasing order.\nAnswer: 34, 1\/5, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -105.32. Let k = s - -0.02. Which is the fourth biggest value? (a) k (b) 1\/2 (c) -13 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(320) + 4 - (3 + 1 + sqrt(320)))*6)**2.\nAnswer: -11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-175)\/10)*-1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323004 + -1111?\nAnswer: -324120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 6, 8, 8, 6?\n\"Answer: -i**2 + 7*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 39432.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 7*b - 7. Let r be (2\/4)\/((-2)\/(-28)). What is the greatest common divisor of b and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86531\/33 + 2621. Find the common denominator of -12\/11 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3765\/20 + (-1)\/4. Suppose -3*n - q + 35 = -5*t, -4*t + n + 128 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (4 - (-2 + 2))) + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - 2*sqrt(1944))\/(sqrt(12) - sqrt(60)\/sqrt(80))*4*1)**2.\nAnswer: 147968\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/8 - 270\/120. What is the third smallest value in -4, 3, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in -0.9, -48, -1, 1\/5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 960763964*l*x**3 - 206*l*x**2 + 177224*x wrt x?\nAnswer: 5764583784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -66, -147, -232, -303, -342?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2735*n**4 - 186*n wrt n?\nAnswer: -32820*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/24)\/((-2)\/(-84)). Suppose 4*n + 26 + y = 0. Let g = -12 - n. What is the third smallest value in 5, 0, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 30 = 0. Let r = 27 - -3. Suppose -5*y = -4*y - r. What is the highest common divisor of i and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156830 and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 - 11)) + (264 - 272) + -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 166, 374, 644, 1006, 1490, 2126?\n\"Answer: 5*r**3 + r**2 + 170*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3523087 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + 2*sqrt(8)) + (-4*sqrt(2) + sqrt(2))**2*-4 + sqrt(24)\/sqrt(3).\nAnswer: -67 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -839*b + 2517. Let l be z(3). Solve 6*v - 65 + 71 = l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = 0. Let i be 1 + -3 - (11 + -9). What is the nearest to t in i, -0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*t - 166818 - 414378 = 0. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -25 + 45. Suppose 0*l = -y*l + 8. Let z be ((-96)\/112)\/(l\/14). Put z, -1, -3, -5 in decreasing order.\nAnswer: -1, -3, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -30\/13 (b) 0.2 (c) 5 (d) -114 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2\/5 (c) -0.0207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34884.78l?\nAnswer: 34884780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 12*k + 2*k**2 - 14*k**2 + 10*k**2.\nAnswer: 2*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(816)*3)\/(sqrt(147) + -1*sqrt(147)*6 - sqrt(147)) + -4.\nAnswer: -4 - 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -44*d**2 - 3877300*d + 2114904 = 0.\nAnswer: -88121, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6 - 1\/(-2). Let p be 3 + (-1980)\/75*(0 - -5). Let c = p + 131. Solve f = -7*s + c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-77) - (-206)\/14. Is (7 - 747)*(-6)\/d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + x - 46. Let c(h) = 496*h. What is c(a(y))?\nAnswer: -992*y**2 + 496*y - 22816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 512490565?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 - a48?\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.7. Let f be (-4)\/42 - (-2)\/(-6). Let g = 85 + -337\/4. Which is the nearest to 2\/7? (a) f (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 119, 4 in decreasing order.\nAnswer: 119, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let q be t(2). Suppose 0 = j + 4*f + 2, q*j + 2 = j - f. Let c be 5\/j*12\/(-15). Solve c*g - g - 1 = 0, 3*g + 5 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*((-21)\/6 + 4). Solve q + q - a = -u, 4*u + 2*q - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187*(4 - (6\/2 + 0))?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8876332.\nAnswer: 2, 2219083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*i - 14 = 3*y, -8 = 2*y - 3*i. Let j(o) be the first derivative of -o**3\/3 + o**2 - 2*o - 8. Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 2*x - 6352441 + 6352441.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24 - (548 + -530)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011 - 111001110001011111?\nAnswer: -111001110100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, 4\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1121 - -0.427.\nAnswer: 1121.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 16*x - 6*x + 37*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2a959 (base 14) to base 10\nAnswer: 106115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16866 is divided by 281.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16245092 is divided by 87811.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -75, -120, -167, -216?\n\"Answer: -f**2 - 40*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + m + 4 = 0, 69*m - 28 = -j + 64*m. Let 0*d - d**j - d**2 + 55\/4*d**4 + 7*d**5 + 0 = 0. What is d?\nAnswer: -2, -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 444\/(-8)*(6\/2 - (-119)\/(-21)) and 1736?\nAnswer: 64232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - v - 31, 5*c = -v + 41. Let f be 5\/(-10) + c\/2. Let a(y) = 4*y + 11. Let w(u) = 40*u - 10*u - 13*u - 5 - 12*u - 7*u. What is f*a(k) + 9*w(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27383625 by 505.\nAnswer: -54225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 - 3 = 2*y, j = 1. Suppose 0 = -4*s - y*s + 40. Let t = 4 - 4. Solve t*x = -5*x + s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*h*l*n*v**2 + 2*h*l*v**3 - 72*h*l + 50*h*n*v + 2*h - 20*n*v**3 - n*v**2 wrt l.\nAnswer: 34*h*n*v**2 + 2*h*v**3 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11732618 is divided by 529.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 758077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/1*4\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 44 - 50 - 3423*h**3 + (2*h - 3*h + 3*h)*(3*h**2 - 2*h**2 - 2*h**2).\nAnswer: -3425*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 463*h**2 - 2*h + 1. Let m be z(1). Suppose m = -0*q + 3*q. Calculate the greatest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3\/2 - 6505*c**2\/6 - 375231*c - 249672 = 0.\nAnswer: -303, -2\/3, 2472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + q = -0*x + 9, 19 = -2*x + q. Let d = -12 - x. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259 - 247. Calculate the remainder when 68 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582 - 656 + 1240 - 130*l + 147*l.\nAnswer: 17*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 3*o**2 + 4*o + 130. Let b(g) = 2*g**3 + 5*g**2 - 6*g - 270. Determine -5*a(x) - 3*b(x).\nAnswer: -x**3 - 2*x + 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*s**3 + 87*s**3 + 89*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let v(o) = -351*o + 1. Determine v(q(l)).\nAnswer: -351*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -584, 5\/4, 3.5, 2\/9?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from kikkidiiiikdkiitiiti?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:00 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 180?\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 382898467\/933 - 410395. Calculate the common denominator of k and 13\/4.\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 2*q + 2. Calculate s(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkkn when four letters picked without replacement from {n: 9, k: 3, t: 4}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 13 + -5 + -1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 3*s + 7 + 14*s.\nAnswer: 11*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0*v**2 + 0*v**2 - 1 - v**2. Let h(l) = -6 - 16*l**2 + 2*l**5 + 11*l**2 - 13*l**2. Let n(x) = h(x) - 6*m(x). Find the third derivative of n(y) wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let f(k) = 2*k + 9. Let r be f(-8). Let i(l) = -2*l. Let q(w) = -2*w. Let d(g) = r*i(g) + 6*q(g). Determine o(d(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 13124. Let r(u) = -9*u. Determine t(r(o)).\nAnswer: -18*o - 13124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 0.5\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose -2*b - 4*t + 28 = 0, 13 = 2*b - 0*b + t. Solve -n*f - w + 1 = -0, -5*f + 11 = b*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1. Let g(h) = h**2 + 1. Let o(q) = -3*q**2 + 9. Let x(n) = 2*g(n) + o(n). Determine -22*b(p) + 2*x(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/25 of a gram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63513*d*k**3 - d*k**2*v + 1316*k**3 - k**2*v + 3 wrt d.\nAnswer: -63513*k**3 - k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36437 + 36488 = -17*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6144480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**4 - 10634*n**2 - 410250*n.\nAnswer: 96*n**2 - 21268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.12, -0.1, -5, 1\/5, 3, -539?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 - 38136*n**2\/5 - 76281*n\/5 - 38142\/5.\nAnswer: 3*(n - 12714)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71742 divided by 3261.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 50 = 2*d, 2*d - 6*y = -7*y + 46. What is the remainder when 44 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - (-4 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 1, p: 1, b: 2, j: 1, n: 1}. What is prob of sequence qbj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2578, 5149, 7720, 10291, 12862?\nAnswer: 15433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (375882\/(-52))\/61*68\/(-102)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.1 * 16985.\nAnswer: -86623.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-3 - 42\/(-9)). Let u(p) = 2*p**3 + 6*p**2 + 3*p - 6. Let y be u(s). Let q = 861 + y. What is q rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737741555 to the power of 1\/3, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a + 1. Let h be p(4). Let o = -21 - h. Let w be (10\/(-25))\/((-1)\/5). What is the highest common divisor of o and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*j + 3*f - 32, -2*j = 4*f - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 15 - 0. Calculate the greatest common divisor of s and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1862) - (-1*sqrt(1862) - sqrt(1862))) + sqrt(1862))*3)\/(-4*(sqrt(20)\/sqrt(2))\/sqrt(5)).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -292 + 292.1. What is the smallest value in -1\/2, -2\/9, 3, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -10*t - 15. Suppose 0 = 2*a - 4*n - 36, -2*a + 12 + 40 = t*n. Solve 0 = 3*i + a - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 6.\nAnswer: 245\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5717 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/15 - (-4)\/30. Which is the second smallest value? (a) h (b) 3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.83 - -0.17. Let c = -10 + p. Let v = -9 + 10. Is c greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 + 9)\/(-1*2). Suppose p = -8*c + 6*c. Suppose -2*m = 3*m + 4*k - 35, -5*k = c. Calculate the remainder when 12 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3175 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -317.7 + 364.79. Let z = 47 - b. Let l = 0.31 - z. What is the closest to 0.2 in -2\/17, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummuomoumommmuo. Give prob of picking 3 o and 1 u.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k. Let t(y) = -y**2 - 3*y - 4. Let q(d) = -2*c(d) - t(d). Suppose -8*n - 14 = -10*n. Calculate the remainder when n is divided by q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1072 - 1071.84. Which is smaller: u or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -4\/3 (b) 3 (c) -0.1 (d) -1\/4 (e) 10996\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 0)*(31 - (-4023)\/(-135) - (-4)\/5).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5817*j*k - 2*j*m**2 + 2*k*m - 7770*m**2 wrt j?\nAnswer: -5817*k - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/22692600 and -43\/1620900.\nAnswer: 22692600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j - 20. Suppose 0 = -4*g + 9 - 1. Suppose g*r - j*r = -10. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-3*t + 3*t - t) + 4 - 4 - t + t - 5*t + 3*t + (-1 + 2 - 2)*(0*t + 0*t + t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19817310021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1 (c) -1 (d) 2\/65 (e) 0.2 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p - 7*p + 12 + 4*p**2 - 5*p - 2*p - 4*p.\nAnswer: 4*p**2 - p + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1644798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12689622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-2)\/(-8)). Suppose -36 = -3*g + u*i, i - 17 = -0*g - 2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10400 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuujuuuujjuujuujuu. What is prob of sequence juuj?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 906 + -504. Suppose -4*p - w = -k - 7*p, -5*k + 2074 = -p. Let v = k + -200. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 229 = -107. Let g be (4 + -3)\/((-3)\/(-10))*3. Let k be (2\/g + 1)\/((-10)\/(-200)). What is the greatest common factor of k and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288 - 577 + 3*j + 291.\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 19*y**6\/30 + 3*y**5\/20 + 31*y**4\/12 - 22*y + 1. Find the third derivative of w(d) wrt d.\nAnswer: 456*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 10*s + 4. Let z be i(3). Suppose 0*v + 57 = v. Calculate the greatest common factor of z and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25064886937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 228493 less than or equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 24 = -78*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -200, -182, -166, -152, -140?\n\"Answer: -w**2 + 21*w - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**5 - 6*r**5 - 11*r**5 + (r**2 + 1 - 1)*(-3*r**2 + r**3 + 3*r**2) + 5*r**5 - 9*r**4 + 9*r**4 + (6*r - 4*r + 0*r)*(r**4 + 1 - 1) - 19 - 4*r**5 + 19.\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -49, -131, -253, -421, -641, -919, -1261?\n\"Answer: -h**3 - 11*h**2 - 8*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:36 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - g - g)*(19 - 12 + 13) to r + f*g and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:07 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/2)\/((-12)\/27*(-1809)\/(-134)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**8\/10080 + p**7\/630 + p**6\/120 - p**4\/3 - 7*p**2. Let r(k) be the second derivative of t(k). Determine c so that r(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 532 - 539 = -3*w - 21*f, 2*w + 1 = -3*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 506 + -501. Suppose 357 = j*g - 743. Sort 4, g, -5 in increasing order.\nAnswer: -5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -10*x**4 - 21391984*x**3 - 11440428764802*x**2 - 4576168083204*x = 0?\nAnswer: -1069599, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*p + 628, -2*m = p - 2*p - 428. Let l = m + -212. Put -0.1, l, -5\/3 in decreasing order.\nAnswer: l, -0.1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112\/423 + 2\/47. Let v = 254 - 262. Let j = v + 12. Which is the closest to 18? (a) j (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 150, 7, 1, -5, -3, 0.34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 3, -52\/15, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*85334\nAnswer: -256002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-139184)\/(-128) - (-6)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*3*sqrt(5).\nAnswer: -9*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*l**3*p**3 + 13*l**3*p**2 - 25*p**3 + 33*p**2 wrt l.\nAnswer: -138*l**2*p**3 + 39*l**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 369, 650, 1125, 1848, 2873, 4254?\nAnswer: 6045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**3 - 3*m**2 + 4*m - 2. Determine w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 865685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3785 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)*7\/147. Which is the nearest to 7? (a) n (b) 0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -56. Suppose t*f = -3*m - 2*m + 747, 4*f + 4*m - 1500 = 0. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 2)*(0 + 3 - 1)*(84*t + 270*t + 41*t).\nAnswer: 3950*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83045361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 3.861.\nAnswer: 6.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 141293\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 634145959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4 = 2*o - 0*o, -3*t - 18 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (18 + -19 + 44) - 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01149593885 rounded to five decimal places?\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 101 (b) 2\/7 (c) -4 (d) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2247 (base 12) in base 11?\nAnswer: -2944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-138*(-8)\/(-27))\/2. Which is smaller: j or -19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/27*(-6)\/4*(-104)\/(-52).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-9)\/(9\/2))\/(2\/(-9840)). Calculate the greatest common factor of 123 and n.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -289, -853, -1637, -2587, -3649, -4769, -5893, -6967?\n\"Answer: 9*r**3 - 164*r**2 - 135*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 355*i**3 - 16*i**2*o**2 - 791900*o**2 with respect to i.\nAnswer: 1065*i**2 - 32*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/10 + d**4\/6 + 2*d**3\/3 + 7*d. Factor c(z).\nAnswer: -2*z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8735\/17073 + 32\/63. Is 1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6471.119mm in kilometers?\nAnswer: 0.006471119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72492 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*n = 47*n + 22400. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*t**3\/7 + 92*t**2\/7 + 320*t\/7 + 16.\nAnswer: -4*(t - 7)*(t + 2)*(5*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 22*i**3 - 5*i**2 + 5*i - 1. Let s be u(1). What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 - 4545*x**4.\nAnswer: -3*x**4*(x + 1515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**3\/3 - 7*g**2\/2 - 4*g + 1. What is the least common multiple of 9 and m(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1405118468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -2*b**7\/105 - 9*b**6\/5 - 203*b**5\/5 + 1682*b**4\/3 - 3272*b**2. Determine j so that x(j) = 0.\nAnswer: -29, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/42 and -134*(-7)\/(17892\/(-6))?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27018 divided by -3.\nAnswer: -9006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -961 - -1023.9. Let j = 63 - r. Which is the nearest to -1\/2? (a) j (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29611 and 0.11?\nAnswer: -3257.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 811 + 571*r + 819 - 1630 in the form u*r + w and give u.\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -50. Suppose 4*x - m = x. Solve -4*j - 6 = -2*v, -x*v + 13 = 4*j + 49 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -164.6 (b) -1 (c) 0.2 (d) -0.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 7*l**3 + 73*l + 63*l + 3 - 137*l + l**3 to the form f*l**3 + w*l + t*l**2 + c*l**4 + i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 296 = 691. Suppose -3*v + 13 = -2*v. What is the remainder when k is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/46 and 37\/7.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 4. Suppose -9*m = -8*m + z. Are m and -7 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1210856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 + 0)\/2*-1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 273 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 - -135. Let x(v) = 9*v - 4. Let m(u) = 8*u - 3. Determine l*m(j) - 3*x(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285222.5 microseconds to milliseconds.\nAnswer: 285.2225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**3 - 2*g**2 + 1. Let q be v(-1). Suppose -4*u = -86 + q. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/(-252) + (-38)\/(-532). Which is the nearest to -0.1? (a) g (b) 12 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274218, -548371, -822524, -1096677?\nAnswer: -1370830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -233581*i + 233603*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 320\/(-7400)*25\/20.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2655 = 2*i. Let m = i + -166. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (-2 - 22) - 71?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*l + 34, -3*l - 5*k = -l - 32. Suppose 61 + 38 = l*h. Calculate the remainder when 14 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 3*k + 3. Let b(n) = -n**2 - n + 1. What is 3*b(o) - t(o)?\nAnswer: o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w - 2. Let a be p(2). Let h = -2 + a. Is ((-230)\/(-4))\/(2\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 33222*b + 2234852 = 0.\nAnswer: -67, 16678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -207898, -28, -3 in ascending order.\nAnswer: -207898, -28, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -53. Suppose 2*i = 2*c - f*c + 48, -2*c = -4*i + 92. Calculate the remainder when 59 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((6 + -4 - (6 + 15)) + 0 - -2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08912 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:11 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2401*w**3 - 4*w**2 + 5*w + 900. Let l(b) = -4802*b**3 + 9*b**2 - 12*b - 1795. Let k(m) = 4*l(m) + 9*y(m). Find the second derivative of k(x) wrt x.\nAnswer: 14406*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h + 99*h + 65*h + 3164 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 22731*w - 159136. Calculate b(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*b = -4, 2*b - 5 - 7 = -2*x. Suppose 0 = 3*m + x*q - 5 - 2, 4*q = 5*m + 25. Let d be (-1)\/(3\/(m*15)). Solve d*t + 8 = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-79509)\/15 + 18\/30. Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j - 157. Calculate the remainder when 376 is divided by i(13).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(931) + 3)*-1 - (sqrt(171)\/sqrt(3)*-4)\/(-5*sqrt(48)))**2.\nAnswer: 288*sqrt(19)\/5 + 25024\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -4*(-198)\/648 - (0 + 1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 + -0.1. Let m = 583.29 + -585.69044. Let o = m - h. Round o to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354155 is divided by 5726.\nAnswer: 4869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**6\/15 + 41*s**5\/120 + 37*s**4\/12 - s**3\/6 - 6*s + 2. Let w(y) be the third derivative of r(y). Differentiate w(z) wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722, -2595, -5716, -10079, -15678, -22507, -30560, -39831?\nAnswer: -50314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10335 - -631. Suppose 23*b = a - 110. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 + 174. Suppose 4*m + 2*o = 26, -3*o + o - 6 = -4*m. Let a = m + -2. Solve a*d - 2*v = 3*v + 21, k*d + 29 = -5*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(-p - 3*p + 8*p) - 3 + 3 - 2*p as f + d*p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 275693\/2 in -2\/5, 11, -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -e82a?\nAnswer: -e830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (18\/9)\/(1\/((-3)\/(-3)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1175053, 4700223, 10575507, 18800905, 29376417, 42302043?\n\"Answer: 1175057*g**2 - g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u + 13. Let i be r(8). Which is the closest to -2? (a) -5 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304543 (base 6) to base 2.\nAnswer: 101111101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1557967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/(-4)*2\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6773 > 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 5:02 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783768232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 6. Let b = r - -19. Calculate the remainder when b is divided by (-3)\/((-1)\/4*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 - t + 3. Let j be r(7). Let l be (j\/(-16))\/((-21)\/8). Let g = 4271 + -4271. Is l <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30565110?\nAnswer: 2, 3, 5, 19, 53623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97835 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -1\/2*r**3 + 0 + 5\/2*r**2 - 31*r. Let i(j) = 2*j - 3. Determine -5*i(o) - 3*m(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1227*i - 627*i - 2*i**2 - 600*i. Let r(v) = 13*v**2 + 3*v + 4. Let h(s) = -25*s**2 - 7*s - 7. Let j(k) = -4*h(k) - 7*r(k). What is t(j(x))?\nAnswer: -162*x**4 - 252*x**3 - 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7174, -3, -8 in ascending order.\nAnswer: -8, -3, 7174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**8\/672 - h**7\/140 - h**6\/80 + 11*h**5\/120 - h**4\/8 + 18*h**2 - 3. Factor a(d).\nAnswer: d*(d - 3)*(d - 1)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191320593?\nAnswer: 3, 63773531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2166\/(-132) - 10. Suppose 0 = s + 2*b + 2*b - 43, -4*b = -3*s + 129. Let q = d + s. What is the third biggest value in q, -0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2) + (21 - -1). Let r = -10 + a. Factor -12 - 4 + r*o - 3*o**2 + 10.\nAnswer: -3*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*3\/(-9)*6\/(-1). Let j(q) = -29*q - 4*q**3 + 5*q**2 + 4 - 1 + 3*q**3 + g*q. Give j(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - h = 21, -b - 5*h = -2*h + 15. Put b, 0.5, -2 in descending order.\nAnswer: 0.5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - n**2 + 3*n + 4*n**2 - 3*n**2 to the form a*n**2 + d + q*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20)*-1)**2 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/4*2*1092\/(-234)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 859 = -2*s - 3*m, 4*m + 692 = 4*s. Let f = s + -112. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z + 18 = 2*m, -3*m + 2*z + 16 = 0. Suppose 43 - 3 = m*p. Let h(x) = 6*x - 14. Calculate the remainder when h(7) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 678\/78 - -9 - 12. Suppose 0 + 2\/13*x**3 + j*x**2 + 0*x = 0. What is x?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -9\/11 (c) 0.2209 (d) 1\/23 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -3 + (7 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233557 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*q - 21443, -q + 3*v - 4*v + 4287 = 0. Let u = q - 197273\/46. Calculate the common denominator of 35\/2 and u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*g - 41*g**3 - 43*g**3 - 34*g - g**2 + 19*g + 5*g**3 wrt g?\nAnswer: -474*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 16780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/792*12\/(-15)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*l = 1332, -6*k + 2739 = -4*k - 5*l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 644 - 200 = 66*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 144*j - 15552.\nAnswer: -(j - 216)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*w - 5, d - 41*w = -4*w + 95 - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 12*v - 105448 = 0. Suppose 2*z - v = 42613. Suppose 5*d - 3*n = 75509, -2309 - z = -2*d + 2*n. Round d to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 6*o + 4*o)*(0 - 7 + 3)*(-2*o - 4*o - 2*o).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.105 - 0.93.\nAnswer: -1.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 21 = -18*x + 2*l - 37, 14 = -2*l + 35 + 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -0.4, -1\/3, 4 in increasing order.\nAnswer: -68, -0.4, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 8*f**2 - 10*f - 10. Let x be d(6). Suppose 0 = -x*l + 2678 + 8988. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppprrppppprppppppp. What is prob of sequence rrp?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*o. Let d be 2\/(-4)*0 + -1. Is d greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*l**4 + 31*l**4 + 74*l**4 + (-19 + 19 + 4*l**2)*(2*l**2 + 0*l + 0*l) in the form v*l**3 + t*l**4 + o*l + y + m*l**2 and give t.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/104 and -85\/2028?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3 and 1\/102270564.\nAnswer: 102270564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 39*g - 6. Let p = -11 + 14. What are the prime factors of x(p)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -1001110111110001?\nAnswer: -1001110111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 44 = 4*x, -30 = 4*g - 0*g - 2*x. Let s = 5 + g. Let b be s*(-1)\/1*1. Solve -r = b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Let r(j) = 7*j - 5. Let w(m) = -8*m + 4. Let p(s) = -3*r(s) - 4*w(s). Calculate p(d(l)).\nAnswer: -22*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 + 4 = 0. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14164.7 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qooq when four letters picked without replacement from qooqqo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*s**2 + 1644*s - 472.\nAnswer: 4*(s + 59)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/7 + 6*c**3 + 200*c**2\/7 = 0.\nAnswer: -4, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.97 + 16.03. Let l = -45 - -21. Let b = g + l. What is the smallest value in 2\/11, -2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -29.7. Let t = -0.339 - -0.038. Let q = m + t. What is q rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -20*y**2 - 8*y + 2. Let u be r(-6). Round u to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-55)\/(-44))\/(3\/(2 + 10)). Suppose -3*l = -5*w - 28, 0 = 4*l - 2*w + f*w - 18. Solve 3*c = -3*c - l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose -j*k + 8*k = 68. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90816 and -0.4.\nAnswer: 36326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*c*g**2*i**2 + c*g**2*i*k + 2*c*g**2*i - c*k - 11143*c - g**2*i**2*k - 15*i**2*k wrt i.\nAnswer: 30*c*g**2 - 2*g**2*k - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 4)*(-7 + 6). Let g be 30\/8*(-1 - f). Is 4 a factor of (-6)\/10 + (-69)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h = 50*h + 197 + 43 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33378527.\nAnswer: 7, 13, 79, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 53*p**2 - 228*p + 4. Calculate c(57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 - 4654\/3096. Let u = 1078\/13 + -139010\/1677. Let g = u + d. Sort 1, -5, g in decreasing order.\nAnswer: 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -40. Suppose -d - 4*x = -68, q = -6*d + d + x + 298. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:11 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 6*o**2 + 2*o - 1. Calculate the remainder when n(-5) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 plus -152?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7534 divided by -1.\nAnswer: -7534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1694*j + 1693*j - 3382*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.3 (c) -72 (d) -27 (e) -1141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 307451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96350877?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**1)\/c*c)**(-9\/5)*(c*(c\/c**(-1\/4))\/c)\/(c\/c**(-1\/10)))**(21\/4) assuming c is positive.\nAnswer: c**(63\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 503964653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*d + 3 - 1, -2 = 4*k + 3*d. What is the units digit of 4 - (-108 + k\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12243 + 16196. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w - 3. Let s be f(3). Let j = s + -14. Suppose c = 2*m, -2*c + 0 = -4. Sort m, j, 2.\nAnswer: j, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200\/7, 0, -1.4.\nAnswer: -1.4, 0, 200\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -288*s - 327. Determine g(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99285.2972 rounded to the nearest 1000?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64184 and 120?\nAnswer: 962760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + 1.39192. Round c to four dps.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -414 - -23. Let x = -62 - y. What are the prime factors of x?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + z - 5*z + 545.\nAnswer: -z + 545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/21)\/5*(-14)\/(-4)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a - 385?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1172*h + 2. Let u(z) = 108*z. Calculate u(v(k)).\nAnswer: -126576*k + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1464*b**3 + 2939*b**3 - 1480*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 1881.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(50 + (-44149)\/882)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + -2 + (sqrt(264)\/(2*sqrt(6)) - sqrt(44))**2 + sqrt(220)\/sqrt(5) + -2.\nAnswer: 2*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028608*j - 3 + 15 = -2*o + o + 1028606*j, 3*j = 2*o + 24 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8789986, 17579911, 26369836, 35159761?\nAnswer: 43949686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 - 2178*w**2 - 2181*w = 0.\nAnswer: -1, 0, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -80.15. Let t = 0.15 - w. Let s = 7 + -7.6. What is the smallest value in t, -1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -4*v - 2466 + 2494, -v = -5*u - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2 - 892*w + 198916 = 0.\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267*n + 83*n**2 + 144*n**2 + 71*n**2 - 680*n**2 - 993*n**2 wrt n.\nAnswer: -2750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mrmmmmmmmrmmm?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -2*z**3 - 9*z**2\/2 + 6*z + 102. Determine n so that r(n) = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348\/8*(-790)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -335*h - 28. Let u be q(-18). What is u rounded to the nearest one hundred?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 55. What is the highest common divisor of 55 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-0.822.\nAnswer: 15.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 198, 363, 552, 771, 1026, 1323?\n\"Answer: w**3 + 6*w**2 + 140*w + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 8) to base 10\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7752*h**2 + 8222*h wrt h?\nAnswer: 15504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 13*x - 27. Let b be q(3). Let h(u) = -u**3 + 2*u**2 + u + 2. Determine h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)*s**4)\/(s**11\/(s\/(s\/s**(-2\/5)*s*s))) assuming s is positive.\nAnswer: s**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7 - 1. Let t be (2 + 6 + -6)*(-59)\/(-2). Suppose 3*l**2 - t*l + 4*l**o - l**3 + 56*l - 3*l**4 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z, 2*l + 18 = 4*z + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**2 + 0*t**2 - 11*t**2 - 13*t**5 + t**2 wrt t?\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w**5\/3 - 52868*w**4\/3 + 2492543*w**3\/6 - 3611432*w**2\/3 - 2042696*w\/3 - 265280\/3 = 0 for w.\nAnswer: -6632, -1\/4, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3 = 3. Suppose 31*t + i + 0 - 29*t + t**2 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5*(9318 - -2). Let h = -2331 - x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 0*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3618457?\nAnswer: 3618457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 44*g + 47. Let n = -11938 - -11917. Determine c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 39875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3 - -4) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/2)\/m*m)\/(m\/(m**(4\/7)*m)) assuming m is positive.\nAnswer: m**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-1516435)\/45*-3. Suppose 4*z - 68713 = v. Round z to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21830 by 5.\nAnswer: 4366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/56*63\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**4\/6 + l**3\/6 + l**2\/2 + 2*l + 3. Let i(a) be the first derivative of g(a). Determine t, given that i(t) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y**2 - 237*y + 130. What is the hundreds digit of z(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 + -6.596.\nAnswer: -6.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3*(-9)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -172127 and 0.03?\nAnswer: 172127.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010 (base 2) to base 10.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 22.902. Let p = -0.018 - h. What is the closest to 1 in -0.4, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1731959 by 2.\nAnswer: -1731959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 11:02 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -62*g. Let l(k) = -2*k**2. Give l(a(d)).\nAnswer: -7688*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34275174 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = c - 32, 6*c = 3*c - f + 84. Solve c = -4*j - 3*s - 6, -3*j + 4*s = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:24 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/6 - -7\/3. Let t = 4 - 8. What is the closest to t in -1\/2, 2\/7, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3601814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 15642 = 56*u. Calculate the greatest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:22 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*((1 + -2*sqrt(272) - sqrt(272) - sqrt(272)) + sqrt(272)))**2 - -1*-2*((sqrt(272) + sqrt(272) + 2 + sqrt(272) - sqrt(272))*2)**2)*2.\nAnswer: -4112*sqrt(17) + 349878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 4*a**2 - 6*a - 2. Determine t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21325 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1077*c. Let a(l) = -3*l**2 + 21*l. Determine a(b(m)).\nAnswer: -3479787*m**2 - 22617*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2974*g**4 - 16332*g**3 + 83672*g**2 - 81 wrt g?\nAnswer: 71376*g - 97992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 15 = 6*x. Let c be (-1)\/(-5) + 238\/10. Suppose -4*f + 0 = c. Does x = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792660 is divided by 79264?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20348, 3, 11 in ascending order.\nAnswer: -20348, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -69\/2*a**2 + 6 + 6*a**5 - 33\/2*a + 21\/2*a**3 + 57\/2*a**4 = 0.\nAnswer: -4, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 135, 31 in increasing order.\nAnswer: -1, 4, 31, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 32. Let f be h*3*(-4)\/3. What are the prime factors of f\/(-4) + 3*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 7 - 5 + 5 to w + l*h and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) -1\/2 (b) -3\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 49 + 4*i - 55)*(-i - 3*i + i).\nAnswer: -3*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.81 - -2.41. Let u = -35 - l. Round u to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 484 = -4*m, 215 - 821 = -5*a + 4*m. Let r be ((-2)\/(-9) - a\/(-18)) + -2. Solve -y + r = 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.013 - 1.033. Let s = 70.98 - w. Let q = s - 71.999922. Round q to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-4 + 2)*1. Suppose 1 + 5 = s - 3*j, -5*s + 2*j + 17 = 0. Solve a = -4*y - 5 - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1984*m**3 + m**2 + m - 5. List the prime factors of n(2).\nAnswer: 3, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216926776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 483 - 507 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - 1 - (292 + -228 - 134).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55771163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a milligram in micrograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 2:44 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11312 is divided by 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(45)\/(sqrt(9) + sqrt(9) + sqrt(45)\/(-2*sqrt(5))))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + a**2)*(7*a - 7*a - 2*a**2).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 8*g + 8. Let l be f(7). Suppose -3*s + 2*s = -5*d + 235, 2*d + 5*s = 94. What is the remainder when d is divided by ((-45)\/l)\/(-3) - -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227 + 230. Suppose 4 = -2*g, -y + c*y - 22 = -3*g. Let d(b) = -b**3 + 98. Let o be d(0). What is the highest common divisor of o and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -33178584.\nAnswer: -1\/16589292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-5) + 42\/105. Differentiate 7*q - 11*q + b*q + 10 - q wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(35)\/sqrt(5))**2 + -3)*5*6 + 4*(sqrt(21)\/(sqrt(9)\/sqrt(3))*6 + -2).\nAnswer: -518 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 3346 (c) -6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-77) + 16\/28. Which is the second smallest value? (a) -31 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18231 + 13*b**3 - 18228 + 36459.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 775, 721, 671, 625, 583?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 616. Let t = -79 + n. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 - 13?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 814 and 1903?\nAnswer: 140822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = h - 5*h. Let t(m) = m**3 + 3*m**2 - 4*m. Let y be t(h). Suppose q = -y*q + 7. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98559622*s**2 + 9192116*s.\nAnswer: 197119244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10356 and 27542.\nAnswer: -285224952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 21606?\nAnswer: 151242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from iiiiirrii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739113.2 millennia to months.\nAnswer: 8869358400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50505, 50443, 50347, 50223, 50077, 49915, 49743?\n\"Answer: c**3 - 23*c**2 + 50527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*u**2 + 14686*k**2*u - 264904*u**2 - 25*u wrt u?\nAnswer: 2*k**2 - 529808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33757.4588 rounded to the nearest ten?\nAnswer: 33760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 + 2*v**2 + v**2)*(0*v + 3*v**2 + 0*v) - 2 + 2*v**4 + 2 + 5*v**4 - v**4 + 9*v**4 as k*v + w*v**4 + z*v**3 + n*v**2 + t and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/4 - 5*q. Let i(u) = -22*u. Determine k(i(y)).\nAnswer: -1452*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imruroo. What is prob of sequence mi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/79 (b) 4 (c) 19 (d) 5 (e) 8 (f) -8.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 251464, 251365, 251270, 251179, 251092, 251009?\n\"Answer: 2*r**2 - 105*r + 251567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g + 19*g = 7*g. Let x(n) be the third derivative of -1\/60*n**5 - 1\/3*n**3 + g*n - 1\/8*n**4 - 6*n**2 + 0. Determine z so that x(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5 + 3*w - 5*w + w. Suppose -3*d = t + 8, 16 = -5*t + 3*d + 48. Determine y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 136 - 2*i**2 - 68 - 4*i - 12.\nAnswer: -4*i**2 - 4*i + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2291 - 2291.4. Put 14, g, 2, -0.7 in decreasing order.\nAnswer: 14, 2, g, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 4, r: 2, d: 1, g: 3, a: 2}. What is prob of sequence yg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -100?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000101111101 + -110010?\nAnswer: 1001000101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 38\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from rhtjjrtjthrrttrttrrr?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1872)*2 + 0)*-6 + -3 + 5)**2*-4.\nAnswer: -1078308 - 3456*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b - 214. Let f be t(18). Determine g so that 278*g - 31*g**2 - 70 + 12*g**2 + 12*g**2 + 15*g**f = 0.\nAnswer: -35, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q**3 + q**2. Let z be h(-1). Solve -11 + z = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:32 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 4*r**3 + 2*r**3)*(0*r + 0*r + 3*r**2) + 1136*r**4 - 169*r**5 - 1136*r**4.\nAnswer: -163*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 + 5*l**3 + l + 9*l**3 + 0*l + 7*l**4 - 11*l**3 - 11*l**2 + 2 to the form j*l**4 + r*l + y*l**3 + n + f*l**2 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 663135171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 740 = 4*q. Suppose -n + u = -q, u + 0*u + 652 = 4*n. Let t = n + -70. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/(x\/(x\/x**(2\/7))))**(-9\/8)\/((x**(1\/8)*x**(-2\/9))\/(x**(2\/7)\/x**(2\/3))) assuming x is positive.\nAnswer: x**(1229\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4262 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -13, -1 in increasing order.\nAnswer: -13, -1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + -14 + (-1302)\/(-216) + -4. Which is the third smallest value? (a) s (b) -21 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 + 0*w**3 - 3*w**3 + (-3*w**2 + 0*w**2 - w**2)*(-3*w + 0*w + 5*w)*(0 - 2 + 4).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 413836813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011702 to six decimal places.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1140595?\nAnswer: 228119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/12*(29\/(-3))\/29?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:47 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*n + 32*n + 120*n)*(9 + 12 + n + 9) in the form y + q*n**2 + k*n and give k.\nAnswer: 5250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*c = 67*c + 44. Solve 0 = 4*g + 3 - 15, c*o + 5*g + 1 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.3, 0, -2, 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5944*u - 12429*u - 28600*u + 4589*u.\nAnswer: -30496*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 5*u - 32 = 6*q + 21*q, 0 = 3*q - 2*u + 62 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70) - 1*sqrt(70)) + sqrt(70))\/sqrt(7))\/sqrt(2) - sqrt(60)\/(1*sqrt(1728)))**2 + 0.\nAnswer: 605\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from lffrffftrffffr.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*n + 96, 28*j - 248 - 67 - 515 = -5*n for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15273 - -0.0248?\nAnswer: -15272.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3905, 3903, 3901, 3899, 3897?\nAnswer: 3895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -70*y. Let v(n) = 2*n + 40. What is v(p(c))?\nAnswer: -140*c + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -15. Let a = 17 + m. Solve a*w = -0*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 15 = -4*m. Suppose t = -4 + 3, -2*u - 5*t = -m. Let y = 0 + u. Solve -4*j - y = -24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*u + 5*n, -2*u - 52 = -u + 14*n for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (15 - (24 - 20)) + -18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 56 = -7*u. Let f(l) = -l**2 - 9*l - 9. List the prime factors of f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -3. Solve i*v + 8 = 0, 3*c - 6*c = -3*v - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 264785453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 40*a**5\/3 + 7395*a**4\/2 + 348970*a**3\/3 - 87745*a**2 - 565010*a\/3 + 312095\/2 = 0.\nAnswer: -241, -37, -21\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -586\/5 + 118. Which is the smallest value? (a) 1 (b) r (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88097*n**4 + 4*n**3 + 148006*n**2 wrt n?\nAnswer: -2114328*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 - 94134*b**2\/7 - 158134986*b + 2375051490.\nAnswer: -2*(b - 15)*(b + 23541)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*b = 1, 4*m - 4*b - 4 - 16 = 0. Is (-1226)\/m*(13 - 17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 495605, -3, -2 in ascending order.\nAnswer: -3, -2, 495605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2960*a**5 + 10004*a**4 + 12228*a**3 + 6260*a**2 + 1052*a - 24 = 0.\nAnswer: -1, -2\/5, 3\/148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-18))\/((-17)\/(-15) - 1). Let p be (0 - 0) + (136 + -1)\/9. Solve q = p*m - 20*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10635 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 57 + 968 = 5*g. Suppose 4*i - g = -i. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 1700900*i + 144653040500.\nAnswer: 5*(i - 170090)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*b - 508 = 57*b - 88*b. Let m(z) be the third derivative of 1\/15*z**6 + 0*z - 1\/5*z**5 + 0*z**3 + 47*z**2 + 0 + 1\/6*z**b. Suppose m(x) = 0. What is x?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2363774\nAnswer: 1\/2363774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -455, -905, -1355, -1805?\n\"Answer: -450*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10435859\/68 + -153467. What is the common denominator of v and (-626)\/60 + (-1)\/(-3)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/3405484 and 73\/8513710?\nAnswer: 17027420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -30 + 13 - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**8\/84 - 2*h**7\/21 - h**6\/10 + 17*h**5\/15 - 5*h**4\/3 + 309*h**2. Factor z(j).\nAnswer: 4*j*(j - 5)*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -29224*w + 29222*w + 29, -w + 3*l - 23 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s**2 + (1 - 1 + 2*s)*(-3*s + 3*s - 2*s) + (-8*s + 9*s + s)*(0 + 0 - 3*s))*(-23*s**3 + 1159 - 1159).\nAnswer: 207*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.145 times 5?\nAnswer: 180.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:22 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(588) + -1 - 3*(sqrt(147) - 4*(sqrt(147) + 3*sqrt(147))))**2.\nAnswer: -1974*sqrt(3) + 324732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279.9 - -255. Let s = 25 + j. Which is the closest to s? (a) -1 (b) -3\/5 (c) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4677309 is divided by 982?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2940)\/56)\/15*3\/(147\/(-644))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a - 4223 + 1743. Solve -a*k = -157*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3105, -3301, -3501, -3705?\nAnswer: -3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -2*t, 4*t - 5*t = -3*h - 11. What is the second derivative of -3*a + 0*a**2 + 9*a**5 + 4*a**t + 5 - 5*a**5 - 8*a**5 wrt a?\nAnswer: -80*a**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**2 - 2*w**3)*((2 - 2*w - 2)*(-4 + 2 + 1) + 0*w - 2*w + w + 4*w - 5*w - w).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 0.3913?\nAnswer: -0.003913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474160 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36844\/(-1812)*(-15)\/10.\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(4*k - 2*k - 3*k)*(-5 + 5 - 2*k**2).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q. Let f(r) = 3254*r**2 + 5. Determine f(w(g)).\nAnswer: 159446*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + k + 0 = -4, 3*k + 4 = 2*n. Solve 3 = n*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**4 - 1\/15*q**3 + 0*q**2 + 1\/50*q**5 - 1 - 6*q. Factor d(r).\nAnswer: 2*r*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1000011100000?\nAnswer: 1000011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 665142.\nAnswer: 6651420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 13*p + 2*p)*(-1 - 1 - 1)*(5 - 3 - 4).\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459937128 a multiple of 8194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43893681 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010001 - 100000111101000?\nAnswer: -11110101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/((g*g\/(g*(g**(-1\/2)\/g)\/g)*g)\/g)*g)*g*g*g**9*g)\/(g*g\/(g\/g**(-13))*g**(7\/2)))**(-1\/33))**(-6\/17) assuming g is positive.\nAnswer: g**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 7, q: 4, l: 1}. What is prob of sequence lq?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/21 + 4)*(-6)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*x**4 - 5291*x**3 - 650073*x wrt x.\nAnswer: -204*x**2 - 31746*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:47 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1 - g + 1132*g**2 + 1124*g**2 - 2255*g**2. Let u(f) = -10*f**2 + 6*f + 6. Calculate -6*c(z) - u(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1)\/(((-59)\/(20237\/(-98)))\/(2\/(-35))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:28 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 114, 222, 316, 390, 438, 454, 432, 366?\n\"Answer: -c**3 - c**2 + 118*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 283*q**5\/20 - 1645*q**2. Let w(a) = 2*a**2. Calculate w(j(f)).\nAnswer: 1441602*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - x + 1. Let r(w) = 5*w**2 + 8*w - 22. Let b = -12 + 6. Let f(u) = b*k(u) - r(u). What is the remainder when f(8) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - t - 3 - 15, 3*t + 15 = 0. Let d = r - 8. Let a be 1\/2 + 30\/(-44). What is the biggest value in a, d, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/5736 and 55\/4952.\nAnswer: 3550584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 3*u + 45 = 2*v, -70 = 5*v - 2*u. Let x be 545\/4 + 3\/v. Is 2\/7 + x\/14 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 9:02 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6295 + 12209. Is y + 0 + 40\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -29, -71, -149, -275, -461, -719?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2 - 4. Let d(l) = l + l**2 - 3*l**o + l**2. Let a(v) = 10*v**2 - 8*v. Determine a(k) + 8*d(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, b: 1, t: 11}. What is prob of sequence ts?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302327393?\nAnswer: 3, 19, 22847849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11517 + 15993. What is the highest common divisor of 72 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**5 + 3*p**5 - p**5)*(-2 + 1 + 3) + (p - 23333*p**3 + 3070*p**4 + 23333*p**3)*(-2 + 2 + p).\nAnswer: 3072*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482413145 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21551281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1970420 rounded to the nearest 10000?\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10904)\/8178*(9 + -3)\/(6\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*g = -s - 4, -2*s - 2*g = -6. Let c be 1\/10*4*(-10 + 20). Sort c, -1, s in decreasing order.\nAnswer: c, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 3 + 21 - 1 - 2*w - 9.\nAnswer: -2*w + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftltlmmftmfvtmvv. What is prob of picking 1 v and 2 f?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 98 = 14*j. Calculate the greatest common factor of 602 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:34 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 - 38*b**2 - 273*b + 43. Give l(-6).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788917*g**2 + 555295*g**2 - 117148*g**2.\nAnswer: 1227064*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 3*c + 5. Suppose 4*i = 2*p - 3*p + 46, -3*p - 18 = -i. What is the remainder when g(4) is divided by ((-8)\/i)\/(((-4)\/42)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 5*p - 1. Suppose 0 = q + 5*l + 5, -3*l = -3*q - 0*q - 15. Let a be g(q). Let y = 7 + a. What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*z + z + z)*(5*z - z - 2*z) + 4*z**2 + 7*z - 7*z)*(z - z - z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 67*c**6\/120 + c**4\/6 - c**3\/3 - 7*c**2 + 5*c. Find the second derivative of p(x) wrt x.\nAnswer: 402*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**3 + 3*f**2 - 3. Let g(u) = -13*u**3 + 10*u**2 - 9. What is 7*c(z) - 2*g(z)?\nAnswer: -2*z**3 + z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(24\/(-180)). Solve -2*k = -o*y + 1, -6*k = -3*y - k - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/10*(-5 + 0). Let j(n) = -n**2 - 8*n - 6. Determine j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/5*-1)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-6)*2\/4. Suppose -147 = -0*k - 3*k. What is the remainder when k is divided by 22\/(m + -1) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249311200?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 8. Let m be z(-5). Suppose 7*d - 2*d - 35 = 0. Suppose 9 = -5*g + 5*y - 1, -2*y + d = -g. Solve r = -g*p - p, m*r - 3*p = -15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 - -517\/5. Is -128 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + (-5)\/((-5)\/(-3)). Suppose 20*g = -4*g + 96. Solve q*u - g*u = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -1) + (-518 - -562)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1154207936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*l + 23 + 15, 3*j - 4*l = -3. Suppose 10 = 5*s - 5. Solve -s*i + j = -5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6976069.\nAnswer: 17, 47, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/12225381 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(110)*2 - sqrt(110)))\/(-2*sqrt(1210)).\nAnswer: -5*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 94 (b) -0.123 (c) -4 (d) 31\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*t = -11, -5*c + 4*t = 21 - 59. Calculate the remainder when 15 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -95\/18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37, 0.3, 7, -5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-160)\/56)\/10*-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*o - 86*o - 92*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d**2 + 74*d + 94 = 0. Calculate d.\nAnswer: -1, 47\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591875 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18718414 - -4?\nAnswer: -18718410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 20*w - 462. Suppose -30*i - 15 = -w*i. Solve -2*n - 9 = -r, 3*n = 3*r + 8*n - i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctycatacyuyaaguu. What is prob of picking 1 t and 2 c?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 0, -h - 50 = -3*h - 3*i. Suppose -2*r + h = -n, 0 = -3*r - r - 5*n + 28. Calculate the least common multiple of r and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - k - 4, -2*z - 10 + 3 = -5*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 10*o**2 - o - 2. Let t be z(7). Let r = -74 + t. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = p - 3, 4*n + 4*p - 20 = 0. List the prime factors of 241 + (-1 - n) - 3*1.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-5)*((-48)\/108 - (-68)\/18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*c**4 + (-2*c + 2*c - c**3)*(3*c - c + 0*c) + c**4 - 4*c**4 - 2*c**4 + (3*c - 2*c**2 - 3*c)*(4*c**2 + 2*c**2 + 9*c**2).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + 2 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 8*a + 6. Suppose 3*q = -4*f - a, 3*q - 2*f - 2*f - 21 = 0. What are the prime factors of 8\/((-2)\/(1 - 2 - q))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + (0 + sqrt(612))**2.\nAnswer: sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 2*y + 11. Let a(x) = -3*x**2 - 3*x - 11. Let m(j) = -2*a(j) - 3*k(j). Find the first derivative of m(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*a + 0*a - 72 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1738, -1237, -6230, -13247, -22294, -33377?\nAnswer: -46502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/24 + 5*t**5\/6 - 35*t**4\/24 - 15*t**3 - 1293*t**2. Factor b(d).\nAnswer: -5*(d - 9)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {x: 1, w: 1, s: 1, q: 1, i: 8}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = -4*d. Find the first derivative of d + 10*m + 7 + 0 wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Let i(o) be the second derivative of 2\/5*o**6 + 1\/6*o**7 + 0*o**2 - 1\/6*o**4 + o + 0*o**3 + d + 3\/20*o**5. Factor i(z).\nAnswer: z**2*(z + 1)**2*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 1. Let v(c) = 4 - 2 + c - 6 + 0. Let j be v(6). Let q(z) = -3 - 7*z**j - 2 - 1. What is 5*p(m) + q(m)?\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*r + 15 + 4 + 6 = 0, 0 = 55*c - 41*c + 5*r - 70 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 37*a - 16. Let k(g) = 74*g - 31. Determine 3*k(l) - 7*m(l).\nAnswer: -37*l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v**(-3)\/v)**(-35) assuming v is positive.\nAnswer: v**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = r - 298, 4*y = -3*r + 302. Let m(c) = -3214*c - 3187. Calculate the remainder when y is divided by m(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172\/935 + 2\/935. Sort u, -301, -2\/7, -0.3.\nAnswer: -301, -0.3, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4337*n**3*u - 3*n**2*u - 473*n*u + 38*n + 7*u wrt n.\nAnswer: -26022*n*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pchcpcchchcwpcchpcpc. Give prob of picking 1 h, 1 p, and 2 c.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*v = 293*v + 3*y + 3, -4*y - 32 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/((u\/u**7)\/u)*u*u)*u*u**(-5)*u)\/(u**1)**(-20\/9)*(((u\/((u**(-2)\/u)\/u))\/u)**(-5\/16))**(-22) assuming u is positive.\nAnswer: u**(301\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 45*f + 42*f - 21 = 0, 0 = b - 4*f - 22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -426 + 33. Let t = 186 - m. Suppose -w + 0*w = -29. Calculate the remainder when t is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s*s**(-1\/2)*s)\/s)\/s**(1\/4))**(1\/8)*(s**(-1\/2))**(6\/7)\/(s**0)**(1\/23) assuming s is positive.\nAnswer: s**(-33\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:30 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**10\/45360 - p**9\/7560 + p**8\/3360 - p**7\/3780 - p**4\/8 + p**2. Let c(g) be the second derivative of j(g). Factor c(d).\nAnswer: 2*d**2*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6727 - 4?\nAnswer: -6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431\/7 + -62. Let n(m) = m**3 + 31*m**2 + 20*m - 296. Let z be n(-30). Let p(r) = r**2 + 4*r + 4. Let k be p(-3). What is the closest to f in z, 0.04, k?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 0.8 (c) -0.1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 - 15*w - 14. Calculate v(-7).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 - 39. Let r = b - 102. Is (-8703)\/(-3) - r\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 3, -2\/13, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(14\/(-4))*23. Let f(z) = 3*z**2 - 1. Let s be f(-1). Is 3 + (s - 8*a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 350 in 0.009, -2\/11, -35?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + 5*k - 2. Let q(a) = -a**2 + 3*a + 2. Let y be q(3). Calculate the least common multiple of 1 - -5 - (y + 0) and u(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 27.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -l - 41 + 16, 3*l = -5*z + 25. Let t be 1*l\/(0 + -3). Suppose -2*c + 0*c - 5*j - 18 = t, -4*c = j. What is the least common multiple of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.002\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019212 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 844688427 to the power of 1\/3, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4\/4 - 5*w**3\/3 + 5*w**2\/2 - 4*w - 3. Let b = 0 - 6. What are the prime factors of l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.4 and 495.1.\nAnswer: 1683.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397288336*s**3*x**2 - 40*s**2 + 157*s*x + x**2 + x wrt s?\nAnswer: 2383730016*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 13*w = 135 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Which is the closest to -2? (a) k (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = -208*g + 196*g. Calculate the remainder when 138 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213433878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9356*f - 3123*f - 3116*f - 3117*f - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.8, 2013, -0.28?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 3)*-1 - -819. Let y = -51 + j. Suppose y = 12*i - 374. List the prime factors of i.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21408128.\nAnswer: 2, 7, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c - 3*g + 9, -5*c - 2*g = -11. Calculate the lowest common multiple of 8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34637064*x**5 + x**2 + 2*x + 7635071 wrt x?\nAnswer: 2078223840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 14*l**2 + 7*l - 23. Let o be r(7). Suppose 18*b - o*b + 32 = 0. Solve -3*s - 17 = 4*m, -5*m + b*s - 6 = 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 6. Let m(i) = -6*i + 6. Calculate -3*a(f) + 2*m(f).\nAnswer: 3*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 228575 divided by -45715?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014242 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -3*q, -q - 8 = i - 2*i. Let d(k) = -4*k - i*k + 5*k. Let h(a) = -2*a + 5 - 5. What is d(h(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2138956 (base 10) to base 9\nAnswer: 4020077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*x = -8, 24*x - 25*x - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 2, -2 in decreasing order.\nAnswer: 2, -2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47933, -94157, -138685, -181523, -222677, -262153?\n\"Answer: -a**3 + 854*a**2 - 48779*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1107393214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -96. Suppose 5*x + 15 = 6*x. What is the remainder when m is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3354 + -3350. Let o(c) = -2*c**2 + 12*c - 3. Let g(r) = r - 1. Give q*g(h) - o(h).\nAnswer: 2*h**2 - 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:28 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -1300, -2266, -3442, -4828, -6424, -8230?\nAnswer: -10246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 62 - 14 = 0. Suppose -2*y = y - 12. Solve -5*d - f = -3*w, -3 = -y*w - d + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4*w - 729*v**2*w**2 + 2*v*w**2 + 4*v - 207*w wrt v?\nAnswer: -24*v**2*w - 1458*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}